Intermediate Phase Planning Pack MATHEMATICS Contents: Work Schedules: Page Grade 4 2 Grade 5 4 Grade 6 5 Lesson Plans: Grade 4 6 Grade 5 21 Grade 6 36 Milestones: Grade 4... 52 Grade 5 57 Grade 6 62 Rubrics: Rubric 1.. 66 Rubric 2 67 Rubric 3 68 Rubric 4 69 Rubric 5 70 Rubric 6 71 Rubric 7 72 Rubric 8 73 M780636095045 1
Work schedule for Mathematics Grade 4 Term Week LOs & ASs Unit Assessment Resources 1 1-2 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Unit 1: Animals Informal and Formal assessment Mathematics Grade 4 Stationery Scissors Paper 1 3-5 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 1 6-7 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 1 8-10 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 2 11-12 LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling 2 13-15 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 2 16-17 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 2 18-20 LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement Unit 2: Messages Unit 3: Green around me Unit 4: Money wise Unit 5: Friends Unit 6: Timelines Unit 7: My favourite things Unit 8: Maths long ago Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Test week Mathematics Grade 4 Timetables Coins/notes Number-line Abacus Shapes Compasses Mathematics Grade 4 Shapes Mathematics Grade 4 Coins/notes Cut-out shapes Mathematics Grade 4 Shapes Paper Measuring equipment Scissors Card Mathematics Grade 4 Rulers for measuring Shapes for tessellating Tape measure Wood Marker Mathematics Grade 4 Paper Scissors Mathematics Grade 4 2
3 21-22 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement 3 23-25 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 3 26-27 LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling 4 28-30 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 4 31-33 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 5: Data handling 4 34-36 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 4 37-40 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Unit 9: Creepy crawlies Unit 10: Machines Unit 11: Water wise Unit 12: Money wise Unit 13: Caring about people Unit 14: Building blocks Unit 15: Transport Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Informal and Formal assessment Test week Mathematics Grade 4 Stationery Paper Calculator Mathematics Grade 4 Collecting objects Calculator Scales Mathematics Grade 4 Measuring jugs Containers Mathematics Grade 4 Examples of coins or notes Mathematics Grade 4 Mathematics Grade 4 Mathematics Grade 4 Note: You need to complete 2 formal assessment tasks per term for Mathematics for the Intermediate Phase. This work schedule shows all the opportunities for formal assessment. 3
Work schedule for Mathematics Grade 5 Term Week LOs & ASs Unit Assessment Resources 1 1-5 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement Unit 1: Water Informal & Formal Mathematics Grade 5 Pictures, Water, Watch, Measuring equipment 1 6-10 LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement 2 11-15 LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement 2 16-20 LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement LO 5: Data handling 3 21-25 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement 3 26-30 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape 4 31-35 LO 1: Numbers, operations and relationships LO 4: Measurement LO 5: Data handling 4 36-40 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 5: Data handling Unit 2: Money wise Unit 3: Green landscapes Unit 4: My country Unit 5: Technology Unit 6: Sport Unit 7: The world of people Unit 8: Past, present and future Informal & Formal Informal & Formal Informal & Formal and Test week Informal & Formal Informal & Formal Informal & Formal Informal & Formal and Test week Clock face Mathematics Grade 5 Shapes Cubes Prisms Ruler Tape measure Mathematics Grade 5 Calculator Number line Fraction wall Paper for shapes Table wheels Mathematics Grade 5 Calculator Thermometer Magazines Newspapers Mathematics Grade 5 Calculator Grid paper Maps Number line Cubes and other objects Stick to make shadow Clock Ruler, Tape measure Mathematics Grade 5 Shapes to tessellate with Mathematics Grade 5 Watches and Clock Mathematics Grade 5 Watches and clocks 4
Work schedule for Mathematics Grade 6 Term Week LOs & ASs Unit Assessment Resources 1 1-5 LO 1: Numbers, Operations and Relationships LO 2: Patterns, functions & algebra LO 3: Space & Shape Unit 1: Community Informal & Formal Mathematics Grade 6 Number chart Fractions wall Calculator Firm paper Scissors Geoboard Clock face Digital clock Coloured pencils 1 6-10 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 5: Data handling 2 11-15 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement 2 16-20 LO 1: Numbers, operations and relationships LO 4: Measurement LO 5: Data handling 3 21-25 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement 3 26-30 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 5: Data handling 4 31-35 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 5: Data handling 4 36-40 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement Unit 2: Our changing world Unit 3: Space Unit 4: Sport and games Unit 5: Conservation Unit 6: Money wise Unit 7: Africa Unit 8: Healthy living 5 Informal & Formal Informal & Formal Informal & Formal and Test week Informal & Formal Informal & Formal Informal & Formal Informal & Formal and Test week Koki pens Mathematics Grade 6 Paper Potato Knife Paints Crayons Drinking straws Compasses Mathematics Grade 6 Crayons Koki pens Clinical thermometer Abacus Mathematics Grade 6 Netball hoop and ball Bucket Litre bottle Measuring jug Colddrink can Cardboard Scissors Mathematics Grade 6 Calculator Plastic colddrink bottle Prestik or candle wax Mathematics Grade 6 Square grid paper Compasses Scissors Mathematics Grade 6 Drinking straws Pipe cleaners Used matchsticks Coins/Dice/Spinner Mathematics Grade 6 Paper Scissors Grid paper Boxes
LESSON PLANS Grade 4 Unit 1: Animals Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 1-2 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Counts forwards and backwards in 2s and 4s & 6s. Estimates and calculates by selecting and using operations appropriate to solving problems that involve: addition and subtraction of whole numbers with at least four digits; multiplication of at least whole two-digit by two-digit numbers; division of at least whole three-digit by one-digit numbers. Performs mental calculations involving addition and subtraction, and multiplication of whole numbers to at least 10 x 10. Investigates and extends numeric and geometric patterns including patterns found in natural contexts. Investigates and extends patterns found in natural and cultural contexts and of learner s own creation. Recognises, visualises and names two-dimensional shapes and three-dimensional objects in the environment including circles and rectangles. Recognises and describes natural and cultural two-dimensional shapes, three-dimensional objects and patterns in terms of geometric properties. Solves problems involving calculations and conversion between appropriate time units including seconds, minutes, hours, days, weeks, months and years; estimates, measures, records, compares and orders two-dimensional shapes and three-dimensional objects using S.I. units with appropriate precision for: mass using grams and kilograms, and capacity using millilitres and litres. Organises and records data using tallies and tables; draws a variety of graphs to display and interpret data including bar graphs Integration Languages LO 2,4,5 Natural Sciences LO 1,2 Arts & Culture LO1,2 LO 5: Data handling Content/Knowledge: Counting calculations, Grouping, Naming, Patterns, Operations, Sorting, Time, Fractions, Shapes/objects Learning activities Teaching methods/approach Resources Lesson 1: Calculations LB p2 Lesson 2: Patterns LB p3 Lesson 3: Naming flat shapes LB p4 Lesson 4: Naming mathematical objects LB p5 Lesson 5: Sorting information LB p6 Lesson 6: Operations LB p7 Lesson 7: Fractions LB p8 Lesson 8: Time LB p9 Lesson 9: Counting and problem solving TG p2 Regular and irregular patterns TG p2 Identify, draw & describe two-dimensional shapes TG p3 Naming of objects TG p4 Sorting a disorganised list TG p5 Add and subtract 2-digit numbers, multiply and divide by single-digit numbers TG p5 Mental calculations TG p5 Use pictures to write fractions TG p6 Learners tell the time TG p6 Assessment LB p10 Assessment: Type of assessment: Formal assessment for lesson 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Assessment activity LB p10 Mathematics Grade 4 Learner's Book and Teacher's Guide Stationery Scissors Paper Reinforcement: Extra examples of problem solving Expanded opportunities: Hang up different clocks in the class for ongoing timetelling opportunities 6
LESSON PLANS Grade 4 Unit 2: Messages Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 3-5 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Counts forwards and backwards in a variety of intervals between 0 and at least 10 000; performs mental calculations involving addition and subtraction, and multiplication of whole numbers to at least 10 x 10. Recognises and represents whole numbers, to at least 4-digit numbers, in order to describe and compare them; recognises the place value of digits in whole numbers to at least 4-digits. Describes and illustrates various ways of counting in different cultures throughout history. Investigates and extends numeric and geometric patterns looking for a relationship or rules including patterns of the learners own creation; describes observed relationships or rules in own words. Recognises and describes lines of symmetry in 2-dimensional shapes, including those in nature and its cultural forms, locates position on a coded grid including maps and given instructions. Reads, tells and writes analogue, digital and 24-hour time to at least the nearest minute and second. Critically reads and interprets data represented in a variety of ways to draw conclusions and make predictions sensitive to the role of context; draws a variety of graphs to display and interpret data including pictographs with a one-to-one correspondence between data and representation. Integration Languages LO 4 Social Sciences LO 1, 2 Arts & Culture LO 2 Economic & Management Sciences LO 3 Life Orientation LO 1 Content/Knowledge: Counting, Picture graphs, Directions, Place value, Addition/subtractions, Number patterns, Timetables, Compass, Symmetry. Learning activities Teaching methods/approach Resources Lesson 1: Counting in groups LB p11 Lesson 2: Value and place value LB p12 Lesson 3: Number patterns LB p13 Lesson 4: Symmetry LB p14 Lesson 5: North, South, East and West LB p15 Lesson 6: Drawing picture graphs LB p16 Lesson 7: More place value LB p17 Lesson 8: Adding and subtracting LB p18 Count off money from piles of notes TG p8 Write numbers onto piece of paper TG p9 Predict the next number in a sequence TG p9 Beadwork patterns and familiar signs TG p10 Outside activity - facing these directions TG p10 Make own pictogram TG p10 Lesson 9: Reading timetables LB p19 Lesson 10: Assessment LB 20 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Working with decimal number systems TG p11 Order numbers, add and subtract number up to 4 digits TG p12 Analogue and digital time TG p12 Assessment activity LB p20 Reinforcement: Verbally express times in analogue form Expanded opportunities: Research on origins of abacus Mathematics Grade 4 Learner's Book and Teacher's Guide Timetables Coins/notes Number-line Abacus Shapes Compasses 7
LESSON PLANS Grade 4 Unit 3: Green around me Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 6-7 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Estimates and calculates by selecting and using operations appropriate to solving problems that involve addition and subtraction; estimates and calculates by selecting and using operations appropriate to solving problems that involve multiplication of at least whole 2-digit x 2-digit numbers and 3-digit x 1 digit numbers; solves problems in context including context that may be used to build awareness of other learning areas, as well as human rights, social, economic and environmental issues. Determines output values for given input values; investigates and extends numeric patterns found in natural and cultural contexts. Describes, sorts and compares two-dimensional shapes according to flat and curves surfaces, straight and curved sides. Estimates, measures, records, compares and orders two-dimensional shapes and three-dimensional objects using S.I units with appropriate precision for mass using grams and kilograms. Critically reads and interprets data presented in a variety of ways. Integration Languages LO 1, 2, 4, 5 Natural Sciences LO 1, 2, 3 Arts & Culture LO 1 Life Orientation LO 1 Technology LO 3 LO 5: Data handling Content/Knowledge: Number Patterns, Division, Estimations, Edges, Calculations, Graphs, Multiplication, Mass, Place Values Learning activities Teaching methods/approach Resources Lesson 1: Number patterns LB p21 Lesson 2: Estimating and calculating LB p22 Lesson 3: Multiplying LB p23 Lesson 4: Straight and curved edges LB p24 Lesson 5: Graphs LB p25 Lesson 6: Place value LB p26 Lesson 7: Making patterns LB p27 Lesson 8: Dividing LB p28 Lesson 9: Mass LB p29 Calculating TG p13 Estimation TG p13 Know multiplication tables and answer questions TG p14 Knowing the difference and introducing properties of geometric shapes TG p14 Discuss graphs TG p15 Decomposition of numbers and know value of digits up to 1000 TG p16 Describe and draw patterns TG p16 Present solutions and discuss TG p17 Lesson 10: Assessment LB p30 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Know the difference between gram (g) and kilogram (kg) and complete table TG p18 Assessment activity LB p30 Reinforcement: Run multiplication tables drill games Expanded opportunities: Consolidate basic multiplication skills Mathematics Grade 4 Learner's Book and Teacher's Guide Shapes 8
LESSON PLANS Grade 4 Unit 4: Money wise I Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 8-10 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 5: Data handling Assessment Standards Solves problems in context including contexts that may be used to build awareness of other learning areas as well as human rights, social, economic and environmental issues such as financial and budgets; estimates and calculates by selecting and using operations appropriate to solving problems that involve addition and subtraction of whole numbers with at least 4 digits; counts forwards and backwards in a variety of intervals between 0 and at least 10 000 and rounding off to the nearest 10, 100 or 1000; uses a range of techniques to perform written and mental calculations with whole numbers including using a number line; solves problems that involve comparing 2 quantities of different kinds. Investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns of the learner s choice; as well as in numeric patterns found in natural and cultural contexts. Investigates and compares 2-dimensional shapes by drawing shapes on grid paper; recognises and names 2-dimensional shapes; makes 2-dimensional shapes, 3-dimensional objects and patterns from geometric objects and shapes. Critically reads and interprets data presented in a variety of ways; draws a variety of graphs to display and interpret data. Integration Languages LO 1, 3 Arts & Culture LO 1, 3 Economic & Management Sciences LO 3, 4 Content/Knowledge: Ordering, Addition, Decomposition, Subtraction, Number patterns, Shapes, Graphs, Skip counting, Rounding off, Space, Time Learning activities Teaching methods/approach Resources Lesson 1: Ordering and decomposition LB p31 Lesson 2: Adding and subtracting LB p32 Lesson 3: Number patterns LB p33 Lesson 4: Drawing shapes LB p34 Lesson 5: Space and shape LB p35 Lesson 6: Graphs LB p36 Lesson 7: Skip counting LB p37 Lesson 8: Rounding off LB p38 Lesson 9: Time LB p39 Lesson 10: Assessment LB p40 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Different kinds of coins and notes TG p19 Basic operations with money and discussion TG p20 Describe number patterns in writing TG p21 Basic geometric shapes TG p21 Make picture from previous shapes TG p22 Discuss, draw and act out graph TG p22 Counting 10, 20, and 50s TG p23 Counting 10s and 100s, explain rounding off TG p23 Convert time of day to elapsed time TG p24 Assessment activity LB p40 Mathematics Grade 4 Learner's Book and Teacher's Guide Coins / notes Cut out shapes Reinforcement: Trace out shapes of coins and identify them Expanded opportunities: Play games using body shapes of geometrical shapes 9
LESSON PLANS Grade 4 Unit 5: Friends Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 11 12 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and represents the following numbers in order to describe and compare them: common fractions with different denominators including halves, thirds, quarters, fifths, sixths, sevenths, and eighths; common fractions in diagrammatic form. Recognises the place value of digits in whole numbers to at least 4-digit numbers. Makes two-dimensional shapes and patterns with a focus on line symmetry; investigates and compares polygons with up to eight sides according to straight and curved edges. Estimates, measures, records and compares 3-dimensional objects with appropriate precision for length using cm s and km s. Critically reads and interprets data to draw conclusions and make predictions sensitive to the role of: context, categories within data, and other human rights issues. Integration Languages LO 4, 5 Social Sciences LO 3 Arts & Culture LO 1, 2 Economic & Management Sciences LO 2 Life Orientation LO 1 Content/Knowledge: Fractions, Symmetry, Shapes, Bar graphs, Addition, Subtraction, Measurement Learning activities Teaching methods/approach Resources Lesson 1: Fractions LB p41 Sharing and dividing from a whole TG p25 Mathematics Lesson 2: More fractions LB p42 Denominators TG p25 Grade 4 Learner's Book Lesson 3: Symmetry in nature LB p43 Lines of symmetry, and mirror image of shapes TG p26 and Teacher's Guide Lesson 4: Straight and curved edges LB p44 Lesson 5: Bar graphs LB p45 Lesson 6: Reading information LB p46 Lesson 7: Column addition LB p47 Lesson 8: Column subtraction LB p48 Lesson 9: Measuring lengths LB p49 Name the geometric shapes, do activity TG p27 Discuss graph, complete activity TG p27 Ask questions and discuss answers TG p28 Adding 2-digit numbers TG p28 Subtract 2-digit numbers TG p29 Lesson 10: Assessment LB p50 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Make a measuring instrument, draw a table and complete table TG p29 Assessment activity LB p50 Shapes Paper Measuring equipment Scissors Card Reinforcement: Work with adding and subtracting common fractions Expanded opportunities: Do practical problems dividing wholes into fraction parts 10
LESSON PLANS Grade 4 Unit 6: Timelines Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 13-15 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and uses equivalent forms including common fractions with denominators that are multiples of each other and decimal fractions in the context of measurement; estimates and calculates by selecting and using multiplication of 2-digit x 2-digit numbers; calculates by selecting division of at least whole 3-digit x 1-digit numbers. Investigates and extends numeric and geometric pattern looking for a relationship or rules, including patterns found in natural and cultural context. Makes 2-dimensional shapes with a focus on tiling. Estimates, measures, records, compares, and orders 2-dimensional shapes and 3-dimensional using SI units with appropriate precision for mm, cm, m and km; solves problems involving calculation and conversions between appropriate time units including seconds, minutes, hours, days, weeks, months and years; describes and illustrates ways of measuring and representing time in different cultures throughout history. Organises and records data using tallies and tables; draws a variety of graphs to display data including bar graphs. Integration Languages LO 2, 4, 5 Natural Sciences LO 1, 2, 3 Social Sciences LO 2 Technology LO 3 Content/Knowledge: Measurement, Number lines, Fractions, Tessellations, Bar graphs, Multiplication, Time, Surfaces, Division Learning activities Teaching methods/approach Resources Lesson 1: Measuring LB p51 Lesson 2: Number line and fractions LB p52 Lesson 3: Patterning time LB p53 Lesson 4: Tessellating LB p54 Lesson 5: Surfaces LB p55 Lesson 6: Drawing bar graphs LB p56 Measure in cm and mm, introduce decimal fractions TG p30 Sequencing, converting decimal and common fractions TG p30 Discussion about time-line, complete questions TG p31 Fit together a jigsaw puzzle, do activity TG p31 Play surfaces game TG p32 Draw bar graph TG p32 Lesson 7: Time in history LB p57 Water clock of ancient Egyptians and shadowing TG p32 Lesson 8: Multiplication LB p58 Problem-solving using multiplication TG p33 Lesson 9: Division LB p59 Problem-solving using division TG p34 Lesson 10: Assessment LB p60 Assessment activity LB p60 Assessment: Reinforcement: Type of assessment: Make an Egyptian water clock for the class Formal assessment for lessons 4 and 10 Expanded opportunities: Informal assessment: all other activities can be used Develop new jigsaw puzzles for informal assessment Form of assessment: Memo for lesson 10 Rubric 1 for lesson 4 Teacher reflection: Mathematics Grade 4 Learner's Book and Teacher's Guide Rulers for measuring Shapes for tessellating Tape measure Wood Marker 11
LESSON PLANS Grade 4 Unit 7: My favourite things Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 16-18 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Solves problems that involve comparing 2 quantities of different kinds; recognises the place value of digits in whole numbers to at least 4 digit numbers; estimates and calculates by selecting and using subtraction of whole numbers of at least 4 digits: uses building up and breaking down numbers to perform written calculations; recognises, describes and uses the reciprocal relationship between multiplication and division; compares 2 quantities of different kinds. Writes number sentences to describe a problem situation including problems within context that may be used to build awareness of human rights, social, economic, cultural and environmental issues. Makes 3-dimensional objects and patterns with a focus on line symmetry; recognises and describes lines of symmetry in nature and its cultural art forms; investigates and compares 3-dimensional objects by making 3-dimensional models using cut-out polygons; describes changes in the view of an object held in different positions. Solves problems involving selecting and calculating with appropriate SI units. Draws a variety of graphs to display and interpret data; critically reads and interprets data to draw conclusions and make predictions sensitive to the role of: context, categories within data and other human rights issues. Integration Languages LO 1, 4 Arts & Culture LO 1, 2 Content/Knowledge: Calculations, Addition, Symmetry, Prisms, Matching views, Graphs, Tables, Subtraction, Division, Multiplication, Ratio, Capacity. Learning activities Teaching methods/approach Resources Lesson 1: Calculations LB p61 Lesson 2: Adding LB p62 Lesson 3: Symmetry patterns LB p63 Lesson 4: Making prisms LB p64 Lesson 5: Matching views and objects LB p65 Lesson 6: Tables and graphs LB p66 Lesson 7: Subtracting LB p67 Open number sentences and basic operations TG p35 Expanded notation and decomposition TG p36 Symmetry activity TG p36 Geometric shapes TG p37 Lesson 8: Multiplying and dividing LB p68 Lesson 9: Ratio and capacity LB p69 Lesson 10: Assessment LB p70 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Observe different points of view in the activity TG p37 Read data from table and draw a bar graph TG p38 Subtract up to a 1000 and understand decomposition and borrowing TG p38 Using single-digit numbers TG p39 Problem-solving with units of capacity TG p39 Assessment activity LB p70 Mathematics Grade 4 Learner's Book and Teacher's Guide Paper Scissors Reinforcement: Observe points of view around the school with building objects Expanded opportunities: List capacities of goods found at home in kitchen and bathroom cupboards 12
LESSON PLANS Grade 4 Unit 8: Maths long ago Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 19-20 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement Assessment Standards Describes ways of counting in different cultures; estimates and calculates by selecting and using multiplications of 2-digit by 2-digit numbers; uses whole numbers to perform calculations. Makes 2-dimensional shapes and patterns from shapes; investigates and compares 3-dimensional objects by making 3-dimensional models using cut-out polygons. Reads, tells and writes time to the nearest minute and second; describes and illustrates ways of representing time in different cultures throughout history. Integration Languages LO 4 Natural Sciences LO 3 Arts & Culture LO 1 Technology LO 3 Social Sciences LO 2 Content/Knowledge: Calculations, Symmetry, Matching views, Graphs, Tables, Subtraction, Multiplication, Capacity, Addition, Prisms, Division, Ratio. Learning activities Teaching methods/approach Resources Lesson 1: Counting in Africa LB p71 Lesson 2: Egyptian numbers LB p72 Lesson 3: Abacus LB p73 Lesson 4: Tangrams LB pp74-75 Lesson 5: Making pyramids LB p76 Lesson 6: Gelosia LB p77 Lesson 7: Napier s bones LB p78 Lesson 8: Roman numerals on clocks LB p79 Lesson 9: Assessment LB p80 Count to 10 in two languages TG p41 Using symbols for bigger values TG p41 Working with an abacus TG p42 Fun activity, pieces must tessellate TG p42 Discussion about ancient Egyptians and building of pyramids TG p43 Explain Gelosia method TG p43 Fun activity using calculator skills TG p44 Analogue and digital clock activity TG p44 Assessment activity LB p80 Assessment: Type of assessment: Formal assessment for lessons 8 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo for lesson 9 Rubric 2 for lesson 8 Teacher reflection: Reinforcement: Play shop games with abacus Expanded opportunities: Count to 10 in a third language Mathematics Grade 4 Learner's Book and Teacher's Guide 13
LESSON PLANS Grade 4 Unit 9: Creepy crawlies Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 21 22 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Performs mental calculations involving multiplication of whole numbers; recognises and represents multiples of single-digit numbers to at least 100; estimates and calculates by selecting and using addition of at least 4-digit numbers; estimates and calculations by subtraction of whole numbers within at least 4 digits; estimates and calculates by selecting and using multiplications of 2-digit by 2-digit numbers. Investigates and extends geometric patterns represented in physical or diagrammatic form, found in cultural contexts or of the learner's creation. Makes patterns from geometric objects with a focus on tiling; describes changes in view of an object held in different positions. Estimates and approximates perimeter, using rulers or tape measures. Integration Languages LO 1, 2, 4 Arts & Culture LO 1, 2, 4 Content/Knowledge: Multiplication, Subtraction, Addition, Shapes, Perimeter, Cutting patterns Learning activities Teaching methods/approach Resources Lesson 1: Multiplying LB p81 Lesson 2: Adding LB p82 Lesson 3: Moving shapes and making patterns LB p83 Lesson 4: More moving shapes and making patterns LB p84 Lesson 5: Tessellating patterns LB p85 Lesson 6: Making groups LB p86 Lesson 7: Subtracting LB p87 Multiply 2- and 3-digit numbers by single-digit numbers TG p45 Adding large numbers, 'carrying' and using columns TG p45 Investigation TG p46 Flip, slide and turn using the triangle they have cut out TG p46 Patterns and make own tile TG p47 Working with tables for organising data and drawing a bar graph TG p47 Add and subtract up to 4-digit numbers, 'borrowing' and working with columns TG p48 Lesson 8: More multiplying LB p88 Lesson 9: Perimeter LB p89 Units of length TG p49 Lesson 10: Assessment LB p90 Assessment activity LB p90 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Problems involving multiplication TG p48 Mathematics Grade 4 Learner's Book and Teacher's Guide Stationery Paper Calculator Reinforcement: Use more shapes for moving and transforming Expanded opportunities: Solving multiplication problems with large numbers 14
LESSON PLANS Grade 4 Unit 10: Machines Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 23 25 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and represents odd and even numbers in order to describe them and compare; estimates and calculates by selecting and using equal sharing with remainders to solve problems; recognises, describes and uses the equivalence of divisions and fractions; estimates and calculates by selecting and using division of 3-digit by 1-digit numbers; estimates and calculates by selecting and using appropriate operations; uses a range of strategies to check solutions; uses a calculator to perform written operations; performs mental calculations involving addition and subtraction and multiplication of whole numbers. Determines output values for given input values using flow diagrams. Describes, sorts and compares three-dimensional objects from the environment according to geometrical properties including flat and curved surfaces; describes change in the view of an object held in different positions. Solves problems by converting between kg and g; uses appropriate measuring instruments including bathroom scales, kitchen scales and balances to measure mass. Collects data in a classroom to answer questions posed by the teacher and the class; poses simple questions about own school and family environment and identifies appropriate sources of data. Integration Arts & Culture LO 2 Content/Knowledge: Division, Odd and even numbers, Number patterns, Collecting, Calculations, Calculators, Surfaces, Data Learning activities Teaching methods/approach Resources Lesson 1: Odd & even numbers LB p91 Lesson 2: Dividing LB p92 Lesson 3: Number patterns LB p93 Lesson 4: Flat and curved surfaces LB p94 Lesson 5: Different views LB p95 Lesson 6: Collecting data LB p96 Lesson 7: Calculating LB p97 Lesson 8: Calculating machines LB p98 Lesson 9: Mass LB p99 Lesson 10: Explanation of odd and even numbers TG p50 Problems involving sharing when something is left over TG p50 Explore number patterns TG p51 Copy and complete table TG p51 View picture and explain TG p52 Sort information and draw graph TG p52 Complete activity using calculator skills and estimate answers TG p53 Do basic operations mentally TG p53 Assessment LB p100 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Converting grams to kilograms and vice versa TG p54 Assessment activity LB p100 Reinforcement: Draw bar graphs with a key Expanded opportunities: Categorise data for grouping for lesson 6 Mathematics Grade 4 Learner's Book and Teacher's Guide Collecting objects Calculator Scales 15
LESSON PLANS Grade 4 Unit 11: Water wise Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 26 28 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and represents multiples of single-digit to at least a hundred; solves problems in context such as measurements in natural sciences; recognises, describes and uses the commutative, associative and distributive properties of whole numbers; solves problems in context such as how measurement in natural sciences can be used to build awareness of other learning areas as well as environmental issues. Recognises, visualises and names two-dimensional shapes including polygons in terms of the number of sides; investigates and compares two-dimensional shapes by drawing shapes on grid paper; locates position on a coded grid including column and row. Solves problems involving selecting and calculating with appropriate SI units. Poses simple questions about own school and family environment and identifies appropriate data sources to address human rights, social, political, cultural, environmental and economic issues; critically reads and interprets data to draw conclusions and make predictions sensitive to the role of gender. Integration Languages LO 4, 5 Natural Sciences LO 2, 3 Social Sciences LO 2 Technology LO 3 Life Orientation LO 1 Content/Knowledge: Multiples, Shapes, Rows and columns, Bar graphs, Operations, Capacity, Data. Learning activities Teaching methods/approach Resources Lesson 1: Multiples LB p101 Lesson 2: Capacity calculations LB p102 Lesson 3: Naming flat shapes LB p103 Lesson 4: Naming rows and columns LB p104 Lesson 5: Data LB p105 Lesson 6: Bar graphs LB p106 Lesson 7: Operations LB p107 Lesson 8: More capacity calculations LB p108 Lesson 9: Capacity LB p109 Lesson 10: Assessment LB p110 Multiply and know times tables TG p55 Understand and answer capacity problems TG p55 Complete shapes activity and compare solutions TG p56 Know the difference between rows and columns and how to label them TG p56 Make a table and draw a bar graph TG p57 Interpret bar graphs and discuss answers TG p57 Create poster, complete table using calculators TG p58 Be able to read a table and know how to subtract using up to 4 digits TG p58 Know the units of measure for capacity, converting ml to l read measurement from a measuring cylinder TG p59 Assessment activity LB p110 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Reinforcement: Draw extra graphs Expanded opportunities: Display posters as wall collage Mathematics Grade 4 Learner's Book and Teacher's Guide Measuring jugs Containers 16
LESSON PLANS Grade 4 Unit 12: Money wise 2 Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 29-30 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Performs mental calculations involving addition and subtraction; solves problems that involve comparing two quantities of different kinds; solves problems that may be used to build an awareness of other learning areas, such as measurements in natural sciences as well as economic issues such as buying and selling; solves problems in context that may be used to develop awareness of economic issues such as buying and selling. Determines the equivalences of different descriptions of the same relationship; investigates and extends numeric patterns looking for a relationship or rule including patterns represented in diagrammatic form and found in cultural contexts. Describes, sorts and compares two-dimensional shapes according to the number of sides/faces. Solves problems involving selecting and calculating with appropriate SI units; investigates and approximates the area of polygons using grids in order to develop an understanding of square units. Compares, classifies and orders events from daily life on a scale from 'certain that they will happen' to 'certain that they will not happen'. Integration Languages LO 5 Natural Sciences LO 1, 2 Economic & Management Sciences LO 1, 3, 4 LO 5: Data handling Content/Knowledge: Money, Pricing, Chance, Buying-selling, Costs, Shapes, Area Learning activities Teaching methods/approach Resources Lesson 1: Value of money LB p111 Lesson 2: Comparing costs LB p112 Lesson 3: Price patterns LB p113 Lesson 4: Shapes with 4 and more sides LB p114 Greater than and less than symbols TG p60 Sense of value for money and proficiency in basic operations; knowledge of decimal fractions TG p60 Knowledge of decimal fractions and proficiency in basic operations: multiplication and division, recognise pattern in table TG p61 Know and describe sides, arrange information in table TG p61 Lesson 5: Mathematical faces LB 115 Know difference between flat and curved surfaces TG 62 Lesson 6: Chance language LB p116 Lesson 7: Buying and selling LB p117 Lesson 8: Spending wisely LB p118 Discuss word meanings TG p63 Do basic operations involving money and work with fractions TG p63 Do basic operations involving money, answer questions, complete table TG p64 Mathematics Grade 4 Learner's Book and Teacher's Guide Examples of coins or notes Lesson 9: Area LB p119 Area activity TG p64 Lesson 10: Assessment LB p120 Assessment activity LB p120 Assessment: Reinforcement: Type of assessment: Set up a shop in the class to practise money handling Formal assessment for lesson 10 Expanded opportunities: Informal assessment: all other activities can be used Find out prices of common items bought to determine for informal assessment value for money Form of assessment: Memo Teacher reflection: 17
LESSON PLANS Grade 4 Unit 13: Caring about people Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 31 33 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 5: Data handling Assessment Standards Recognises and represents common fractions with different denominators in order to describe and compare them; recognises and uses the equivalent of common fractions with denominators that are multiples of each other; recognises and represents common fractions in diagrammatic form in order to describe and compare them; estimates and calculates using addition of common fractions in context to solve problems; solves problems in context that may be used to develop awareness of other learning areas as well as human rights; solves problems that involve comparing two or more quantities of the same kind; solves problems in context that can be used to build awareness of other learning areas as well as human rights, social, economic and environmental issues. Investigates and extends numeric patterns looking for relationships or rules including patterns represented in physical or diagrammatic form; determines equivalence of different descriptions of the same relationships; describes observed relationships in own words. Locates position on a coded grid including maps from given instructions. Lists possible outcomes for a simple experiment including rolling a die. Content/Knowledge: Fractions, Grids, Chance, Addition of fractions, Calculations, Capacity, Patterns Integration Languages LO 2, 4, 5 Life Orientation LO 1 Learning activities Teaching methods/approach Resources Lesson 1: Fractions LB p121 Know fractions, understand signs >,<, = TG p65 Lesson 2: More fractions LB p122 Lesson 3: Growing patterns LB p123 Lesson 4: Describing patterns LB p124 Lesson 5: Position on a grid LB p125 Lesson 6: Adding fractions LB p126 Lesson 7: Chance game LB p127 Lesson 8: Calculations LB p128 Lesson 9: Capacity LB p129 Lesson 10: Assessment LB p130 Recognise fractions as part of a whole shape, problemsolving activity TG p65 Discuss pattern problems TG p66 Describe patterns TG p66 Find position on grid, read and give co-ordinates for position TG p67 Adding fractions TG p67 Group game TG p68 Multiplication and division TG p68 Read information table and calculate answers TG p69 Assessment activity LB p130 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Reinforcement: Drill multiplication tables Expanded opportunities: Design their own original chance game Mathematics Grade 4 Learner's Book and Teacher's Guide 18
LESSON PLANS Grade 4 Unit 14: Building blocks Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 34 36 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and represents odd and even numbers; performs mental calculations involving multiples of whole numbers; estimates and calculates by selecting and using: addition and subtraction of numbers with at least four digits, multiplication of 2-digit by 2-digit numbers, and division of 3-digit by 1-digit numbers. Investigates numeric patterns; describes observed patterns in own words; writes number sentences to describe a pattern situation ; solves or completes number sentences by inspection or by trial and improvement. Describes, sorts and compares 3-dimensional objects according to number and shapes of faces; locates position on coded grid including maps from given instructions. Investigates and approximates volume of 3-dimensional objects by packing or filling in order to develop an understanding of cubic units. Compares, classifies and orders events from daily life on a scale from 'certain they will happen' to 'certain they will not happen'. Integration Languages LO 5 Natural Sciences LO 2 Content/Knowledge: Addition, Subtraction, Patterns, Chance, Directions on a map, Calculations Learning activities Teaching methods/approach Resources Lesson 1: Adding and subtracting LB p131 Lesson 2: Patterns in 10s and 5s LB p132 Lesson 3: Patterns in 9s LB p133 Lesson 4: Describing mathematical objects LB p134 Lesson 5: Find it on the map LB p135 Lesson 6: Chance language LB p136 Lesson 7: Adding and subtracting LB p137 Know 4 basic operations, recognise even and odd numbers, ascending and descending order TG p70 Multiplication tables TG p70 Know multiplication tables TG p70 Understand the word 'face' TG p72 Read and plot co-ordinates for a position on the grid TG p72 Arrange sentences TG p73 Show proficiency with 4 basic operations TG p73 Lesson 8: Calculations LB p138 Know 4 basic operations, complete activity TG p73 Lesson 9: Volume LB p139 Discuss and answer volume questions TG p74 Lesson 10: Assessment LB p140 Assessment activity LB p140 Assessment: Reinforcement: Type of assessment: Drill multiplication tables and bonds Formal assessment for lesson 10 Expanded opportunities: Informal assessment: all other activities can be used Label faces on 3-D objects in the classroom for informal assessment Form of assessment: Memo Teacher reflection: Mathematics Grade 4 Learner's Book and Teacher's Guide 19
LESSON PLANS Grade 4 Unit 15 : Transport Learning Area/s: Maths Grade: 4 Duration: 20 hours Weeks: 37 40 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises the place value of digits in whole numbers to at least four-digit numbers; estimates and calculates by selecting and using operations appropriate to solving problems that involve: addition and subtraction of whole numbers with at least 4 digits, multiplication of 2 digits by 2-digit numbers, division of whole 3-digit by 1-digit numbers; recognises and uses equivalent forms of common fractions with denominators that are multiples of each other; uses a number line to perform written and mental calculations; solves problems in contexts that may be used to build awareness of other learning areas as well as economic issues. Investigates and extends geometric patterns. Locates position on a coded grid including maps from given instructions. Solves problems involving calculation and conversion between appropriate units of time; reads, tells and writes analogue, digital and 24-hour time. Counts the actual outcomes of a series of trials. Integration Languages LO 5 Social Sciences LO 1, 2 Arts & Culture LO 1 Economic & Management Sciences LO 3 Content/Knowledge: Place value, Calculations, Patterns, Chance, Direction maps, Fractions, Times tables Learning activities Teaching methods/approach Resources Lesson 1: Place value LB p141 Lesson 2: Calculations LB p142 Lesson 3: Movement patterns LB p143 Lesson 4: Draw your own map LB p144 Lesson 5: Combinations and chance game LB p145 Lessons 6 & 7: Fractions and more fractions Lesson 8: Calculations LB p148 Lesson 9: Timetables LB p149 Know about place value and decomposition, place numbers in ascending and descending order and round off TG p75 Work with 4 basic operations to problem-solve TG p75 Revise sliding, flipping, turning and tessellation TG p76 Complete maps TG p76 Record data on the table TG p76 Recognise parts of shapes as fractions, write fractions. Understand number lines and how they represent number systems TG p77 Know 4 basic operations and work with money calculations TG p77 Read digital and analogue time, read time from a table and calculate time TG p78 Lesson 10: Assessment LB p150 Assessment activity LB p150 Assessment: Type of assessment: Formal assessment for lesson 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Mathematics Grade 4 Learner's Book and Teacher's Guide Reinforcement: Drill bonds and tables Expanded opportunities: Convert timetable between analogue and digital time 20
LESSON PLANS Grade 5 Unit 1: Water Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 1-5 Learning Outcome LO 1: Numbers, operations & relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Recognises a place value of digits in whole numbers to at least 6 digits; recognises common fractions to at least 12ths in order to describe and compare them; performs mental calculations involving addition and subtraction; calculates by selecting and using operations appropriate to solving problems; counts forwards and backwards in whole number intervals. Investigates geometric patterns looking for a relationship; determines through discussion the equivalence of different descriptions of the same relationship or rule presented in flow diagrams and number sentences; investigates and extends numeric patterns; investigates and extends geometric patterns found in natural and cultural contexts. Describes, sorts and compares 2-D shapes from drawings and 3-D objects in natural and cultural forms; recognising and sorting 2-D shapes and 3-D objects focussing on similarities and differences; describes and sketches views of a 3-D object in different positions. Reads, tells and writes analogue and digital and 24-hour time to the nearest minute; uses appropriate measurement instruments; solves problems involving conversions between SI units and using rulers to appropriate levels of precision; investigates and approximates capacity of 3-D objects; uses conversions between ml and l ; uses time measuring instruments. 21 Integration Social Sciences LO 3 Life Orientation LO 1, 2, 3 Languages LO 2, 3 Arts & Culture LO 1, 3 Technology LO 1, 2 Natural Sciences LO2 Content/Knowledge: Place value, 3-D objects, Fractions, 2-D shapes, Calculations, Position, Patterns, Length/mass, Measurement, Capacity, Counting, Time Learning activities Teaching methods/approach Resources Lesson 1: Place value LB p1 Lesson 2: Fractions LB p2 Lesson 3: Basic operations LB p3 Lesson 4: Calculation LB p4 Lesson 5: Shape patterns LB p5 Lesson 6: Number patterns LB p6 Lesson 7: Sorting shapes LB p7 Lesson 8: Measurement LB p8 Lesson 9: Counting forwards and backwards LB p9 Lesson 10: Introducing bigger numbers LB p10 Lesson 11: Patterns in big numbers LB p11 Lesson 12: Representing big numbers LB p12 Lesson 13: Place value in big numbers LB p13 Talk about position of each number and understand that each number has its own value TG p1 Talk about sharing and use cut-out of fractions TG p1 Play maths bingo, complete questions 1-2 and do problemsolving scenario TG p2 Fill in the missing digits TG p2 Make patterns by turning, sliding or flipping shapes TG p3 Complete diagrams of number patterns TG p3 Identify shapes and draw table classifying shapes according to their properties TG p4 Draw a roster with times of the day including the details of what they did during that time, make model clocks TG p4 Count forwards and backwards using 100s chart and arrange numbers in ascending and descending order TG p5 Add on from 99, 999 and 9999 and recognise the pattern TG p5 Patterns in big numbers TG p6 Number patterns and making number cards TG p6 Make number cards and emphasise the importance of 0 as a place holder TG p7 Mathematics Grade 5 Learner's Book and Teacher's Guide Pictures Water Watch Measuring equipment Clock-face
Lesson 14: Ordering numbers LB p14 Lesson 15: Geometric patterns LB p15 Lesson 16: Naming 3-D objects LB p16 Lesson 17: Cubes and rectangular prisms LB p17 Lesson 18: Squares and rectangles LB pp18-19 Lesson 19: Different views LB p20 Lesson 20: Revising length and mass LB p21 Lesson 21: Exploring capacity LB p22 Lesson 22: Measuring and writing about capacity LB p23 Lesson 23: Time passing LB p24 Lesson 24: Digital, analogue and 24-hour time LB p25 Lesson 25: Build up and break down numbers TG p7 Copy and extend pattern TG p8 Identify shapes, complete table and in groups construct a shape village TG p8 Determine whether they know what cubes and rectangular prisms are TG p9 Play a game, make squares and rectangles of different sizes, measure accurately, explain that vertices are corners where the edges meet TG pp9 & 10 Discuss different positions and explain why the perspective changes TG p10 Do activity and discuss grams and kilograms TG p11 Measure and compare litres and millilitres, complete the table TG p11 Precision measuring and activities TG p12 Problem solving using time TG p12 Read a.m. and p.m. in analogue and digital time TG p13 Assessment LB p26 Assessment activity TG p13 Assessment: Type of assessment: Formal assessment for lessons 16 and 25 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Reinforcement: Drill multiplication tables Expanded opportunities: Convert daily timetables between analogue and digital time 22
LESSON PLANS Grade 5 Unit 2: Money Wise Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 6-10 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement Assessment Standards Counts forwards and backwards in whole number intervals; recognises and represents whole numbers to at least 6 digit numbers; counts forwards and backwards in whole numbers in whole number intervals; performs mental calculations involving addition, subtraction and multiplication. Calculates using operations appropriate to solving problems that involve addition of whole numbers with at least 5 digits; calculates using operations appropriate to solving problems that involve addition and subtraction of whole numbers with at least 5 digits; solves problems involving financial issues; recognises. Recognises, describes and performs rotations using geometric figures and solids and translations using geometric figures and reflections using geometric figures, investigates and compares 3-D objects. Estimates, measures, records, compares and orders 3-D objects using SI units with appropriate precision for grams and kilograms; solves problems involving conversions between grams and kilograms; estimates, measures, records and orders 3-D objects with appropriate precision for length using centimetres and metres; solves problems between mm, cm, m, km; uses appropriate measuring instruments to appropriate levels of precision including rulers to measure length. 23 Integration Natural Sciences LO 2 Languages LO 2, 3, 4, 5 EMS LO 2, 3 Technology LO 1 Arts & Culture LO 1 Content/Knowledge: Counting, Rotations, Place-value: Hundreds/thousands, Translations, Reflections, Mental calculations, Prisms/cubes, Addition/subtraction, Mass, Length, Calculate using money Learning activities Teaching methods/approach Resources Lesson 1: Counting forwards & backwards LB p27 Lesson 2: Introducing hundred thousands LB p28 Lesson 3: Hundred thousands LB p29 Lesson 4: Understanding hundred thousands LB p30 Lesson 5: Mental calculations LB p31 Lesson 6: Adding bigger numbers LB p32 Lesson 7: Subtracting bigger numbers LB p34 Lesson 8: Calculating money LB p36 Lesson 9: Rotations LB p37 Lesson 10: Translations LB p38 Lesson 11: Reflections LB p39 Lesson 12: Investigating rectangular prisms LB p40 Lesson 13: Investigating cubes LB p41 Lesson 14: Investigating rectangular prisms and cubes LB p42 Lesson 15: Exploring mass LB p43 Rote counting and multiplication TG p14 Add to number cards 100 000s use cards to answer questions TG p14 Complete number patterns TG p15 Ask and answer build up and break down numbers questions and give value of specific digits TG p15 Do calculations TG pp15-16 Different methods of adding bigger numbers TG p16 Process of subtracting the numbers TG p17 Shopping with money TG p17 Rotations of 90 and 180 degrees TG p18 Complete grid activity TG p18 Mirror imaging, using cut-out shapes TG p19 Identify and explain rectangular prisms TG p19 Learning about cubes TG p20 Identify rectangular prisms TG p20 Explaining mass TG p21 Mathematics Grade 5 Learner's Book and Teacher's Guide Pictures Water Watch Measuring equipment Clock-face
Lesson 16: Converting mass LB p44 Lesson 17: Measuring length LB p45 Lesson 18: Converting length LB p46 Lesson 19: Using length LB p47 Lesson 20: Measuring at the Hardware Store LB p48 Lesson 21: Measurement in transport LB p49 Lesson 22: Assessment LB p50 Complete table and convert grams to kilograms TG p21 Discuss units of measurement, play a game and complete activity TG p22 Convert measurements TG p22 Design and make a money box TG p23 Approach problems as a process TG p23 Solve problems of mass and length TG p24 Assessment activity TG p24 Assessment: Type of assessment: Formal assessment for lessons 14 and 22 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo for lesson 22 Rubric 3 for lesson 14 Teacher reflection: Reinforcement: Play shop games in class Expanded opportunities: Convert shopping items from grams to kilograms and vice versa 24
LESSON PLANS Grade 5 Unit 3: Green landscapes Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 11-15 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement Assessment Standards Counts forwards in fraction intervals; recognises and represents common fractions to at least 12ths in order to describe and compare them; recognises and uses equivalent forms of common fractions with denominators that are multiples of each other; calculates using operations appropriate to solving problems involving multiplication of at least 3-digit by 2-digit numbers; recognises and uses equivalent forms of common fractions with denominators that are multiples of each other; estimates and calculates by selecting and using operations appropriate to solving problems involving rounding off to nearest 10, 100 and 1000, recognises and represents 0 in terms of additive inverses; performs mental calculations involving addition, subtraction and multiplication. Makes 2-D shapes from geometric shapes and describes them in terms of movement including reflections, rotations and translations; describes them in terms of line of symmetry and rotational symmetry and geometric properties. Solves problems involving selecting and calculating with SI units. Integration Languages LO 2, 3, 5 Technology LO 1 Life Orientation LO 1, 2 Natural Sciences LO 3 Economic & Management Sciences LO 3 Content/Knowledge: Counting fractions, Rounding off, Equivalent fractions, Properties of 0, Multiplication, Making shapes, Division, Symmetry, Equivalent forms, Patterns Learning activities Teaching methods/approach Resources Lesson 1: Counting fractions LB p51 Lessons 2 & 3: Introducing smaller fractions LB p52 Lesson 4: Recognise and represent fractions LB p54 Lesson 5: Equivalent fractions LB p55 Lessons 6 & 7: Multiplying bigger numbers LB pp56 57 Lesson 8: Dividing bigger numbers LB p58 Lesson 9: More dividing LB p59 Lesson 10: Using +; -; x; divide LB p60 Lesson 11: Equivalent forms LB p61 Lesson 12: Equivalent fractions LB p62 Lesson 13: Rounding off in practice LB p63 Lesson 14: Using rounding off LB p64 Make dice, play game and count fractions TG p25 Discussion of fraction wall and place problems in context TG p26 Size of fractions TG p26 Fraction combinations and investigate equivalences TG p27 Revision of decomposition and how 0 works TG p27, different solutions for multiplication TG p28 Division of numbers with a remainder TG p28 Do calculations TG p29 Problem solving TG p29 Working out equivalent forms TG p29 Calculator skills, multi-step operations TG p30 Place the concept of rounding off in context TG p30 Using till slips, round off to nearest 10 or 100 TG p31 Mathematics Grade 5 Learner's Book and Teacher's Guide Calculator Number line Fraction wall Paper for shapes Table wheels 25
Lesson 15: Properties of 0 LB p65 Lessons 16 and 17: Making shapes LB p66 67 Lesson 18: Shapes and symmetry LB p68 Lesson 19: Rotational symmetry LB p69 Lesson 20: Symmetry in nature LB p70 Lesson 21: Shapes and patterns LB p71 Four basic operations using 0 TG p31 Angles of various shapes, explain shape properties, make puzzles TG p32 Mirror images, find symmetry lines in shapes TG p33 Turn triangle to practice rotational symmetry TG p33 Use nature to identify lines of symmetry TG p33 Discuss designs and design own outfit with geometric patterns TG p34 Lesson 22: Mental calculation games Fun mental maths activity TG p34 LB p72 Lesson 23: Assessment LB p73 Assessment activity TG p35 Assessment: Reinforcement: Type of assessment: Drill mental maths by playing games to beat the Formal assessment for lessons 4 and 23 calculator Informal assessment: all other activities can be used for Expanded opportunities: informal assessment Find mirror images and symmetry in items brought to Form of assessment: class from nature Peer assessment of lesson 18 with rubric 10 Rubric 4 for lesson 4 Memo for lesson 23 Teacher reflection: 26
LESSON PLANS Grade 5 Unit 4: My country Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 16-20 Learning Outcome LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling Assessment Standards Recognises and represents: 1 in terms of multiplicative inverses, multiples of 1 digit numbers to at least 100, decimal fractions decimal fractions of the form 0.5, 1.5, 2.5, etc. recognises the place value of digits in whole numbers to at least 6 digit numbers; estimates and calculates by selecting and using operations appropriate to solving problems that involve rounding off to the nearest 5, 10, 100 and 1000; calculates by selecting and using operations appropriate to solving problems that involve finding fractions of whole numbers which results in whole numbers; calculates by selecting and using appropriate to solving problems that involve finding fractions of whole numbers which result in whole numbers; Investigates and extends numeric patterns looking for a relationship or rules, including patterns represented in physical or diagrammatic form. Describes, sorts and compares 2-D shapes and 3-D objects. Estimates, records, compares and orders temperature using degree Celsius; recognises and describes right angles in 2-D shapes and 3-D objects in the environment. Makes and uses simple data collection sheets that involve counting objects in order to collect data; poses simple questions about environment and identifies appropriate data sources in order to address issues in that environment; organises and records data using tallies and tables, draws pictographs with a many-one correspondence and appropriate keys and bar graphs. Integration Languages LO 3 Economic & Management Sciences LO 3 Life Orientation LO 1 Natural Sciences LO 1, 2, 3 Technology LO 3 Content/Knowledge: Properties of 1, Multiples, Place value, Estimating and calculating, Problem solving, Decimal fractions, Fractions, Timetables, Measuring time and temperature, Right angles, Data handling Learning activities Teaching methods/approach Resources Lesson 1: Properties of 1 LB p74 Lesson 2: Multiples LB p75 Lesson 3: More multiples LB p76 Lesson 4: Place value LB p77 Lesson 5: Estimate and calculate LB p78 Lessons 6, 7 & 8: Problem solving: + and LB pp79 81 Lesson 9: Decimal fractions LB p82 Lesson 10: Equivalent forms: decimals LB p83 Lessons 11 & 12: Fractions of whole numbers LB pp84 85 Lesson 13: Reading TV programme timetables LB p86 Lesson 14: Keeping time accurately LB p87 Lesson 15: How warm is it? LB p88 Multiplying by 1 keeping its identity TG p36 Number pattern TG p36 Write down tables TG p37 Value changing with position TG p37 Time scenarios TG p37 Do activity, sketching and operations, ability to round off TG pp38 & 39 Metric system based on 10 TG p39 0,5 in decimal notation TG p39 Physically make groups to make whole number fractions, relationship between fractions and division TG p40 Units of time and basic operations TG p41 Activity using creative ways to measure time TG p40 Temperature and thermometers TG p41 Mathematics Grade 5 Learner's Book and Teacher's Guide Calculator Thermometer Magazines newspaper 27
Lesson 16: Measuring temperature accurately LB p89 Lesson 17: What are angles? LB p90 Lesson 18: Square angles are right angles LB p91 Lessons 19 & 20: Collecting data LB pp92 93 Lesson 21: Recording and processing data LB p94 Lesson 22: Presenting and displaying data LB p95 Lesson 23: Practice on data LB p96 Practical activities and research TG p42 2-D shape activity TG p42 Relationship between 2-D and 3-D shapes TG p43 Various ways of collecting information, and sources to gather information TG pp43 & 44 Revise tallies, data represented in various ways TG p44 Bar graphs and pictographs TG p45 Practical applications on data handling and exercise TG p45 Lesson 24: Assessment LB p97 Assessment activity TG p45 Assessment: Reinforcement: Type of assessment: Paper flags using fractions parts Formal assessment for lessons 6, 7, 8, 24 Expanded opportunities: Informal assessment: all other activities can be used for Revise multiplication informal assessment Form of assessment: Memos Teacher reflection: 28
LESSON PLANS Grade 5 Unit 5: Technology Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 21-25 Learning Outcome LO 1: Numbers, operations & relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Describes and illustrates various ways of writing numbers in different cultures throughout history; recognises and represents: whole numbers to at least 6-digit numbers, value of digits in whole numbers to at least 6-digit numbers, recognises and uses: equivalent forms of common fractions with denominators that are multiples of each other; solves problems that involve comparing 2 or more quantities of the same kind; uses a range of techniques to perform written and mental calculations with whole numbers. Describes observed relationships or rules in own words; recognises, visualises and names 3-D objects in natural and cultural forms and geometric settings including those previously dealt with and focuses on similarities and differences between cubes and rectangular prisms. Locates position on a coded grid including maps and traces a path between positions following written instructions; recognises, visualises and names 2-D shapes in natural and cultural forms and geometric settings including those previously dealt with and focuses on similarities and differences between squares and rectangles; describes and sketches views of a simple 3-D object in different positions. Describes and illustrates ways of measuring and representing time in different cultures throughout history; investigates perimeter using rulers and measuring tapes; investigates area of polygons. Integration Social Sciences (His) LO 1 Languages LO 2, 3, 5 Technology LO 1 Social Sciences (Geog) LO 2 Life Orientation LO 1, 2 Arts & Culture LO 1 Content/Knowledge: Writing in ancient times, Using a calculator, Number lines, Grid maps, Abacus, Exploring objects, Word problems Learning activities Teaching methods/approach Resources Lesson 1: Writing numbers differently LB p98 Lesson 2: Common fractions LB p99 Lesson 3: Counting forward and backward in fractions LB p100 Lesson 4: Recognise and represent big numbers LB p101 Lesson 5: Place value and big numbers LB p102 Lesson 6: Equivalent fractions LB p103 Lessons 7& 8: Ratio LB pp104 105 Different number systems TG p46 Writing fractions in different ways, numerators and denominators 46 Practice counting fractions using flash cards TG p47 Do abacus activity TG p47 Values and positions TG p48 Fractions investigation TG p48 Questions on ratio TG p48 Mathematics Grade 5 Learner's Book and Teacher's Guide Calculator Grid paper Maps Number lines Cubes and other objects Stick to make shadow clock Ruler, tape measure Lesson 9: Using a calculator LB p106 Lesson 10: Calculator exploration LB p107 Lesson 11: Calculator calculations LB p108 Lesson 12: Using a grid map LB p109 Lesson 13: More maps LB p110 Lesson 14: Comparing cubes and rectangular prisms LB p111 Fun calculator skills TG p49 Using the memory key TG p50 Use calculator skills in activity TG p50 Plot grid map directions TG p51 Draw a grid with shapes and positions TG p51 Filling prisms and cubes TG p51 29
Lesson 15: Comparing squares and rectangles LB p112 Lesson 16: Exploring mathematical objects LB p113 Lesson 17: More about views LB p114 Lesson 18: Time and history LB p115 Lesson 19: Perimeter LB p116 Lesson 20: Perimeter of surfaces LB p117 Lesson 21: Area of polygons LB p118 Lesson 22: Area and square grids LB p119 Lesson 23: Assessment LB p120 Movement exercise and questions TG p52 Make shapes and models TG p53 Personal observation TG p53 Importance of measuring time, unusual measuring units TG p53 Perimeters of shapes TG p54 Covering shapes TG p54 Use various shapes to cover surface TG p55 Shapes, counting and multiplying TG p55 Assessment activity TG p56 Assessment: Type of assessment: Formal assessment for lessons 14, 18 and 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo for lessons 14 and 23 Rubric 5 for lesson 18 Teacher reflection: Reinforcement: Write birthdays and other important dates in different number systems Expanded opportunities: Extend perimeter making a vegetable garden 30
LESSON PLANS Grade 5 Unit 6: Sport Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 26-30 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape Assessment Standards Recognises the place value of digits in whole numbers to at least 6-digit numbers; counts forwards and backwards in whole number intervals and fractions; recognises, describes and uses the equivalence of division and fractions; recognises and represents: multiples of 1-digit numbers to at least 100, factors of at least any 2-digit whole number; performs mental calculations involving addition and multiplication; recognises and describes reciprocal relationships; recognises, describes and uses: the commutative and associative properties with whole numbers; the distributive properties with whole numbers; calculates by selecting and using operations appropriate to solving problems that involve multiplication of at least 3-digit by 2-digit numbers and division of at least whole 3-digit numbers by 2-digit numbers. Investigates and extends geometric patterns looking for a relationship or rules, including patterns found in cultural contexts and of the learner's own creation; determines output values for given input values using flow diagrams; determines through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented in flow diagrams. Investigates and compares 3-D objects, investigates 2-D shapes; recognises translations, rotations and reflections using geometric figures and solids; makes patterns from geometric shapes and describes these in terms of tessellations. 31 Integration Social Sciences (His) LO 1, 2 Languages LO 5 Life Orientation LO 2, 3 Technology LO 1 Social Sciences (Geog) LO 2 Arts & Culture LO 1 Content/Knowledge: Word problems, Number line, Problem solving, Olympics day Learning activities Teaching methods/approach Resources Lesson 1: Place value consolidation LB p121 Lesson 2: Counting fractions and whole numbers LB p122 Lesson 3: Mixing fractions and whole numbers LB p123 Lesson 4: Number cards to complete question TG p57 Counting intervals TG p57 Do practical sharing activities TG p58 Factors LB p124 Multiples of 10 have one 0, etc TG p58 Lesson 5: More factors LB p125 Identifying odd element of set, working with remainder division without remainders = factors TG p58 Lesson 6: Scoring mental calculations LB p126 Lesson 7: Relationships: multiply and divide LB p127 Lesson 8: Commutative and associative properties LB p128 129 Lessons 9 & 10: Order of operations LB p130 131 Lesson 11: Distributive property LB p132 Lesson 12: Problem solving with basic operations LB p133 Lesson 13: Grade 5 Olympics day LB p134 Lesson 14: Shape patterns LB p135 Simplifying calculations TG p59 Relationship between multiplication and division inversing TG p59 Positioning rule applies to multiplication TG pp59 & 60 BODMAS rule TG p60; complete questions TG p60 Calculate answers and provide methods TG p61 Strategies to solve problems TG p61 Make a poster TG p62 Observe and draw patterns TG p62 Mathematics Grade 5 Learner's Book and Teacher's Guide Shapes to tessellate with
Lesson 15: Flow diagrams LB p136 Lesson 16: Pattern and flow diagrams LB p137 Lesson 17: Investigating 2-D shapes and 3-D objects LB pp138 139 Lesson 18: Making models: a desk organiser LB p140 Lesson 19: Recognise rotation, reflection and translations LB pp140 141 Lesson 20: Tessellations LB p142 Lesson 21: Assessment LB p143 Assessment: Type of assessment: Formal assessment for lessons 8, 10, 13, 15, 21 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Reciprocal relationships TG p63 Understand input output concept TG p63 Triangular and rectangular prisms TG p63 Collage for identifying shapes TG p64 Match definitions with words, and complete questions TG p65 Explain the concept and features TG p65 Assessment activity TG p66 Reinforcement: Collage posters into a wall display for the class Expanded opportunities: Competition LB p122 32
LESSON PLANS Grade 5 Unit 7: The world of people Learning Area/s: Maths Grade: 5 Duration: 10 hours Weeks: 31-35 Learning Outcome LO 1: Numbers, operations and relationships LO 4: Measurement LO 5: Data handling Assessment Standards Describes and illustrates various ways of writing numbers in different cultures/throughout history. Reads, tells and writes analogue, digital and 24-hour time to at least the nearest minute and second; solves problems involving calculation and conversion between appropriate time units including decades, centuries and millennia. Critically reads and interprets: data presented in the media to draw conclusions and make predictions sensitive to the role of categories within the data, data presented in graphs to draw conclusions and make predictions sensitive to the role of context; compares, classifies and orders events from daily life on a scale from certain that they will happen to certain they will not happen ; lists possible outcomes for simple experiments. Integration Social Sciences (His) LO 1, 2 Social Sciences (Geog) LO 3 Life Orientation LO 3 Natural Sciences LO 2 Languages LO 3 Content/Knowledge: Roman numerals, Braille, Analogue and digital time, Reading data, Chance, Multiple solutions Learning activities Teaching methods/approach Resources Lesson 1: Numbers in different cultures LB p144 Lesson 2: Codes and messages LB p145 Lesson 3: How much do you know about time? LB p146 Lesson 4: What is the data telling us? LB p147 Lesson 5: Reading data LB p148 Lesson 6: Very small and very big units of time LB p149 Lesson 7: Chance LB p150 Lesson 8: How many possibilities? LB p151 Roman numerals TG p67 Braille TG p67 Analogue and digital time TG p68 Gathering data to draw up a graph TG p68 Analysing information/data TG p69 Research project on time TG p69 Questions on chance TG p69 Multiple solutions to problems TG p70 Lesson 9: Assessment LB p152 Assessment: Type of assessment: Formal assessment for lesson 6, 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Assessment activity TG p70 Reinforcement: Make Braille cards of their names Expanded opportunities: Using dictionaries for time words Mathematics Grade 5 Learner's Book and Teacher's Guide Watches Clocks 33
LESSON PLANS Grade 5 Unit 8: Past, present and future Learning Area/s: Maths Grade: 5 Duration: 25 hours Weeks: 36-40 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Describes and illustrates: various ways of writing numbers in different cultures throughout history; recognises and represents: common fractions to at least 12ths in order to describe and compare them; calculates by selecting and using operations appropriate to problems that involve addition, subtraction, multiplication and division of whole numbers; performs mental calculations involving basic operations. Investigates and extends numeric patterns looking for a relationship or rule, including patterns represented in physical or diagrammatic form; describes observed relationship and rules in own words; investigates and extends geometric patterns looking for rules or relationships, including patterns found in natural and cultural contexts. Makes 2-D shapes, 3-D objects and patterns from geometric shapes and describes them in terms of movement including translations; describes and sorts 3-D objects from drawings or pictures according to properties including number and shape of faces. Uses time-measuring instruments to appropriate levels of precision, including stopwatches; approximates area of polygon in order to develop an understanding square units; investigates perimeter using rulers; investigates and approximates volume/capacity of 3-D objects in order to develop an understanding of cubic units; records SI units with appropriate precision for length using mm and cm, capacity using ml and temperature using degree Celsius. Counts the frequency of actual outcomes for a series of trials. 34 Integration Social Sciences (His) LO 2 Social Sciences (Geog) LO 1 Languages LO 1, 2, 3, 5 Life Orientation LO 3, 5 Technology LO 1 LO 5: Data handling Content/Knowledge: Ancient numbers, Calendars, Capacity, Writing number, Transformations, Measuring, Revision, Surfaces, Chance, Magic squares, Area, Number patterns, Perimeter Learning activities Teaching methods/approach Resources Lesson 1: Numbers from an ancient culture LB p153 Lesson 2: Writing numbers LB p154 Lesson 3: Revising number concepts LB p155 Lesson 4: Number concept practice LB p156 Lesson 5: Fraction revision LB p157 Lesson 6: Basic operations: revision LB p158 Lesson 7: Problem solving with basic operations LB p159 Lesson 8: Magic squares and puzzles LB p160 Lesson 9: Investigating number patterns LB p161 Lesson 10: Calendar number patterns LB p162 Lesson 11: Patterns in nature LB p163 Lesson 12: Patterns at work LB p164 Cultural number system discussion TG p71 Writing codes to communicate TG p71 Place values and questions TG p72 Revision TG p72 Comparing fractions TG p72 Class game TG p73 Formulate problems themselves TG p73 Copy and complete magic squares TG p74 Recollection game TG p74 Number patterns TG p75 Draw patterns in nature TG p75 Repeating and non-repeating patterns TG p76 Mathematics Grade 5 Learner's Book and Teacher's Guide Watches Clocks
Lesson 13: Transformations LB p165 Lesson 14: Making 2-D shapes LB p166 Lesson 15: Faces on 3-D objects LB p167 Lesson 16: Flat and curves surfaces LB p168 Lesson 17: Different views and drawing views LB p169 Lesson 18: Can you read these results? LB p170 Lesson 19: Make a time dictionary LB p171 Lesson 20: Area LB p172 Lesson 21: Perimeter LB p173 Lesson 22: Capacity LB p174 Lesson 23: Measuring LB p175 Lesson 24: Measurement: conversion and problem solving LB p176 Lesson 25: Chance game LB p177 Lesson 26: Combinations and chance game LB p178 Lesson 27: Assessment LB p179 Basic properties of angles and polygons TG p76 Make own tangram TG p76 Number of faces TG p77 Do activity using shapes TG p77 Discussion on displayed photos using positional words TG p78 Look at results and answer questions TG p78 Terminology that has been taught TG p79 Measurement of surfaces TG p79 Measuring objects TG p79 Volume TG p80 Metric measuring system TG p80 Revision TG p81 Play game TG p81 Play game TG p81 Assessment activity TG p83 Assessment: Type of assessment: Formal assessment for lessons 4, 5, 7, 24, 27 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Reinforcement: Revision of place value lesson 4 & fractions lesson 5 Expanded opportunities: Write messages and homework in code 35
LESSON PLANS Grade 6 Unit 1: Community Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 1 5 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Recognises and places value of digits in the whole numbers to at least nine-digit numbers; recognises and represents common fractions in order to describe and compare them; estimates and calculates by selecting and using operations appropriate to solving problems that involve addition and subtraction of whole numbers; addition and subtraction of common fractions with denominators which are multiples of each other; counts forwards and backwards in whole numbers and fractions; estimates and calculates by selecting and using operations appropriate to solving problems that involve rounding off to the nearest 5, 10, 100 or 1000; recognises and represents whole numbers to at least nine-digit numbers in order to describe and compare them; performs mental calculations involving addition and subtraction; multiplication of whole numbers to at least 12 x 12; estimates and calculates by using operations appropriate to solving problems that involve multiple operations on whole numbers with or without brackets. Investigates and extends numeric patterns looking for a relationship or rules, including patterns represented in diagrammatic or physical form. Uses the vocabulary and properties of translations to describe the relationships between 2-D shapes and 3-D objects within patterns, including transformations and symmetry; recognises and names 2-D shapes and 3-D objects in geometric settings focusing on similarities and differences between tetrahedral and other pyramids; investigates and compares 2-D shapes and 3-D objects studied according to properties listed by drawing shapes on grid paper; describes and classifies 2-D shapes and 3-D objects in terms of properties including faces, vertices and edges. Reads, tells and writes analogue, digital and 24-hour time to at least the nearest minute and second; describes and illustrates ways of measuring time in different cultures throughout history including informal measuring systems. Integration Life Orientation LO 1 Languages LO 2 Social Sciences (His) LO 1 Content/Knowledge: Fractions, Time, Rounding, Place value, Number patterns, 3-D objects, 2-D shapes, Properties of shapes, Geometric patterns, Making, Folding, Mental arithmetic Learning activities Teaching methods/approach Resources Lesson 1: Number concept revision LB p1 Lesson 2: Revision of fractions LB p2 Lesson 3: Basic operations revision LB p3 Lesson 4: Common fractions LB p4 Lesson 5: Cubes and rectangular prisms LB p5 Lesson 6: Time LB p6 Lesson 7: Counting forwards and backwards LB p7 Lesson 8: Rounding off to 5, 10, 100 and 1000 LB p8 Lesson 9: Introducing millions LB p9 Lesson 10: Recognise and represent numbers LB p10 Learning the value of each digit TG p1 Fraction problems TG p2 Calculating exercise TG p2 Name fractions, see the connection between fractions names and equal parts TG p3 Faces, make a cube, rotational symmetry and mirror symmetry TG p4 Make a clock, time questions TG p5 Maths in daily life, multiplication and array TG p5 Rounding off activities TG p6 The value of digits and the place of each 0 in a million TG p7 Use number cards to break down numbers and write in expanded notation TG p8 Mathematics Grade 6 Learner's Book and Teacher's Guide Number chart Fractions wall Calculator Firm paper Scissors Geoboard Clock face Digital clock Coloured pencils Koki pens 36
Lesson 11: Introducing 8-digit and 9-digit numbers LB p11 Lesson 12: Place value LB p12 Lesson 13: Number patterns LB p13 Lesson 14: Making 3-D objects LB p14 Lesson 15: Making more 3-D objects LB p15 Lesson 16: Angles in 2-D shapes and 3-D objects LB pp16 & 17 Lesson 17: Properties of shapes LB pp18 & 19 Lesson 18: Geometric patterns LB p20 Lessons 19: Measuring in different cultures LB p21 Lesson 20: Mental calculations LB p22 Lesson 21: Mental multiplications LB p23 Lesson 22: Order of operations LB p24 Lesson 23: Missing numbers and number patterns TG p8 6-digit numbers and group poster TG p9 Describe the pattern and the relationship TG p10 Tetrahedron TG p10 Similarities and differences of polygons and rectangular pyramids TG p11 Making 3-D shapes TG p11 Various angles TG p12 Identify shapes, draw distinctions between rectangle and parallelogram TG p13 Informal measuring systems and the metric system TG p14 Different strategies when calculating TG p15 Learn 11 and 12 times table TG p15 BODMAS TG p16 Assessment LB p25 Assessment: Type of assessment: Formal assessment for lessons 9, 11, 21, 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Assessment activity TG p17 Reinforcement: Make more new numbers for given digits, lesson 1 Expanded opportunities: Make posters illustrating BODMAS for the classroom wall 37
LESSON PLANS Grade 6 Unit 2: Our changing world Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 6-10 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Recognises and represents whole to at least 9-digit numbers; counts forwards and backwards in whole number intervals and fractions; performs written and mental calculations with whole numbers including adding, subtracting and multiplying in columns; addition and subtraction of whole numbers with at least nine digits; knowing 0 in terms of its additive property; recognises, describes and uses divisibility rules for 2, 5, 10, 100 and 1000; recognises and represents common fractions; recognises common fractions including 10ths and 100ths. Investigates and extends numeric and geometric patterns in diagrammatic form. Describes and classifies 2-D shapes and 3-D objects in terms of faces, vertices and edges; lengths of sides; angle size of corners; draws enlargements and reductions of 2-D shapes using grid paper to compare their size and shape; makes 3-dimensional models using drinking straws to make a skeleton; uses a pair of compasses to draw circles, patterns in circles, and pattern with circles. Uses appropriate measuring instruments including bathroom and kitchen scales and balances to measure mass; estimates, measures, records and compares length using mm, cm, m and km; recognises and describes right angles in 2-D shapes and 3-D objects and the environment. 38 Integration Languages LO 2, 3 Economic & Management Sciences LO 1 Arts & Culture LO 1 Content/Knowledge: Fractions, Addition, Subtraction, Division, Palindromes, Geometric patterns, Parallelograms, 3-D objects, Grids, Circles, Mass, Angles Learning activities Teaching methods/approach Resources Lesson 1: Exploring numbers LB pp26 & 27 Lesson 2: Equivalent forms of number LB p28 Lesson 3: Column addition LB p29 Lesson 4: Column subtraction LB p30 Lesson 5: Addition and subtraction of big numbers LB p31 Lesson 6: Properties of zero LB p32 Lesson 7: Palindromic numbers LB p33 Lesson 8: Number patterns LB p34 Lesson 9: Geometric patterns LB p35 Lesson 10: Exploring rectangles LB p36 Lesson 11: Exploring parallelograms LB p37 Lesson 12: Enlarging shapes LB p38 Lesson 13: Making skeleton models of 3-D objects LB p39 Lesson 14: Shapes on grid paper LB p40 Use number cards in expanded notation TG p18 Mixed numbers and fractions TG p19 Calculations and methods TG p19 Borrowing and other methods TG p20 Using addition for subtraction TG p21 The importance of 0 as an identity element use calculators TG p22 Line of symmetry, reads the same from right to left TG p22 Finding patterns TG p22 Design a pattern TG p23 Parallelograms, complete tables TG p24 Distinguish between properties of rectangles and parallelograms TG p24 Draw an enlargement TG p25 Make 3-D models from geometric shapes TG p25 Imagine and build shapes TG p26 Mathematics Grade 6 Learner's Book and Teacher's Guide Paper Potato Knife Paints Crayons Drinking straws Compasses
Lesson 15: Patterns with circles LB p41 Lesson 16: Measuring mass LB p42 Lesson 17: Problem-solving with mass LB p43 Lesson 18: Measuring length LB p44 Lesson 19: Recognising the size of angles LB p45 Lesson 20: Dividing by 2 and 5 LB pp46 & 47 Lesson 21: Tenths and hundredths LB p48 Lesson 22: Adding and subtracting fractions LB p49 Lesson 23: Assessment LB p50 Circle size, how to draw a circle without a compass, make patterns TG p26 Estimated and actual mass g and kg TG p27 Convert kg to g to measure mass, common fractions and decimal fractions TG p28 How to measure length units of length TG p28 Various angles TG p29 Division of whole 3-digit by 2-digit numbers TG p30 Identify the numerator and denominator TG p30 Understanding common fractions, equivalent fractions TG p31 Assessment activity TG p32 Assessment: Type of assessment: Formal assessment for lesson 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Reinforcement: Calculate mass and height of learners in class Expanded opportunities: Present sums in lesson 4 as problems 39
LESSON PLANS Grade 6 Unit 3: Space Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 11 15 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape Assessment Standards Recognises the place value of digits in whole numbers to at least nine-digit numbers; calculates to solve problems that involve rounding off to the nearest 5, 10, 100 or 1000; recognises and represents common fractions including specifically 10ths, 100ths and percentage; recognises and represents prime numbers to at least 100; uses a range of techniques to perform written and mental calculations including adding, subtracting and multiplying in columns; recognises, describes and uses divisibility rules for 2, 5, 10, 100 and 1000; solves problems that involve comparing 2 quantities of different kinds; recognises and represents decimal fractions to at least 2 decimal places. Determines output values or input values using flow diagrams. Investigates, compares and copies 2-D shapes and 3-D objects by using nets provided by the teacher; uses the vocabulary to describe the relationships of 2-D shapes and 3-D objects within patterns; recognises and names 2-D shapes and 3- D objects in natural and cultural forms and geometric settings focusing on similarities and differences between rectangles and parallelograms. Estimates, measures and records length using mm, cm, m and km. 40 Integration Technology LO 1, 2, 3 Social Sciences (Geog) LO 1 Economic & Management Sciences LO 1 Life Orientation LO 1 Natural Sciences LO 1, 2 LO 4: Measurement Content/Knowledge: Greater/smaller than, Rounding off, Fractions/percentages, Multiplying/dividing, 3-D objects, Tessellations, Transformations, Symmetry, Temperature, Decimals Learning activities Teaching methods/approach Resources Lesson 1: Exploring big numbers LB p51 Lesson 2: Comparing big numbers LB p52 Lesson 3: Rounding off LB p53 Lesson 4: Common fractions and percentage (%) LB pp54 & 55 Lesson 5: Multiplying by 10; 100 and 1000 LB p56 Lesson 6: Multiplying bigger numbers LB p57 Lesson 7: Dividing by 10; 100 and 1000 LB p58 Lesson 8: Division of big numbers LB p59 Lesson 9: Problem solving LB p60 Lesson 10: Flow diagrams LB p61 Lesson 11: Working with nets LB p62 Lesson 12: Comparing 3-D objects LB p63 Lesson 13: Transformation in patterns LB p64 Lesson 14: Patterns and symmetry LB p65 Dabbling with big numbers and distance TG p33 Revise place values, complete the tasks TG p34 Estimate accurate measurements, draw a number line TG p34 Common fractions and concept of percentages TG p35 Identify relationships between number multiplied and answer TG p36 Multiplication TG p36 Divide by multiples of 10, 100 and 1000, relationship between dividend and quotient TG p37 Estimate and calculate long division TG p38 Comparing 2 quantities TG p38 Patterns, of output values TG p39 Visualise 2-D and 3-D models, measure angles, make models TG p39 Name, explain, compare objects, make a poster TG p40 Different geometrical shapes, different types of transformations and what translation means TG p40 Revise shapes, lines of symmetry mirror image and balance TG p41 Mathematics Grade 6 Learner's Book and Teacher's Guide Crayons Koki pens Clinical thermometer Abacus
Lesson 15: Geometric shapes around us LB pp66 & 67 Lesson 16: Measuring temperature LB pp68 & 69 Lesson 17: How to find North on a sunny day using shadows LB p70 Lesson 18: Working with length LB p71 Lesson 19: Decimal numbers: tenths LB p72 & 73 Lesson 20: Decimal numbers: hundredths LB p74 Lesson 21: Assessment LB p75 Identify shapes from different perspectives cultural forms TG p41 Temperature, thermometers, degrees C and F TG p42 Do experiment and answer questions TG p43 Units of measurement TG p43 Base 10 number system and poster TG p44 Decimal fractions of the form 0,5, 1,5, 2,5 TG p44 Assessment activity TG p45 Assessment: Type of assessment: Formal assessment for lessons 11 and 21 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo for lesson 21 Rubric 6 for lesson 11 Teacher reflection: Reinforcement: Instamaths Grade 6 p16 mixed problems Expanded opportunities: Obtain a thermometer and measure the temperature of learners 41
LESSON PLANS Grade 6 Unit 4: Sport and games Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 16-20 Learning Assessment Standards Outcome LO 1: Numbers, operations and relationships LO 4: Measurement Solves problems that involve addition and subtraction, multiplication and division of at least whole 4-digit by 3-digit numbers; recognises the place value of digits in whole numbers to at least 9-digit numbers; recognises and represents multiples and factors of at least any two-digit and three-digit whole numbers; estimates and calculates to solve problems that involve addition and subtraction of whole numbers; solves problems that involve addition and subtraction of common fractions with denominators which are multiples of each other and whole numbers with common fractions; solves problems that involve comparing 2 quantities of different kinds; recognises and represents numbers in order to describe and compare decimal fractions with at least 2 decimal places; estimates and calculates by selecting and using operations appropriate to solving problems that involve equivalent fractions. Solves problems involving calculations and conversion between appropriate time units including time zones and differences; investigates and approximates perimeter using rulers and measuring tapes; investigates and approximates area of polygons in order to develop an understanding of square units; uses appropriate measuring instruments to appropriate levels of precision including measuring jugs to measure capacity; investigates and approximates volume/capacity of 3-D objects in order to develop an understanding of cubic units. Draws a variety of graphs by hand/technology to display and interpret data including pictographs; organises and records using tallies and tables. Integration Technology LO 1, 2, 3 Social Sciences (Geog) LO 1, 3, 4 Languages LO 1, 2 LO 5: Data handling Content/Knowledge: Basic operations, Multiples, Fractions/decimals, Time zones, Area, Capacity, Volume, Recording, Bar graphs Learning activities Teaching methods/approach Resources Lesson 1: Practising basic operations Solve problems using basic operations TG p46 LB p76 Mathematics Lesson 2: Grade 6 Place value LB p77 Questions on place value TG p46 Learner's Book Lesson 3: and Teacher's Multiples LB p78 Identify multiples TG p47 Guide Lesson 4: More multiples LB p79 Lessons 5 & 6: Basic operations with whole numbers LB pp80 & 81 Lesson 7: Adding and subtracting fractions LB p82 & 83 Lesson 8: Completing number sentences LB p84 Lesson 9: Number sentences and problemsolving LB p85 Lesson 10: Time zones across the world LB p86 Lesson 11: Perimeter LB p87 Lesson 12: Area LB p88 Different methods for multiplication TG p48 Problem-solve whole numbers TG p48 & 49 Problem-solve to stress the importance of the denominator TG p49 Symbols and BODMAS TG p50 Write the number sentences step by step TG p51 Question/answer discussion, revise standard and international time TG p52 Measure perimeter using measuring tools TG p52 Calculate area using measuring units TG p53 Netball hoop and ball Bucket Litre bottle Measuring jug Cooldrink can Cardboard Scissors 42
Lesson 13: Capacity LB p89 Lesson 14: Volume LB p90 Lesson 15: Recording data LB p91 Lesson 16: Pictograms and bar graphs LB p92 & 93 Lesson 17: Organising data LB p94 Lesson 18: Collecting and recording data LB p95 Lesson 19: Decimal fractions LB p96 Lesson 20: Equivalent fractions LB p97 Lesson 21: Equivalent fractions: tenths & hundredths LB p98 Lesson 22: Equivalence LB p99 Lesson 23: Assessment LB p100 Using practical methods with ml and l TG p54 Explain volume, make cube and answer questions using formula TG p55 Conduct survey TG p55 Displaying information TG p56 Make a tally sheet and a table TG p56 Interpreting information from different graphs TG p57 Revise place value and distinguish between common and decimal fractions TG p57 Do calculations changing a common fraction to a decimal TG p58 Calculating equivalent fractions TG p58 Convert fractions, rules following a comma TG p59 Assessment activity TG p60 Assessment: Type of assessment: Formal assessment for lessons 16, 19, 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo for lesson 23 Rubrics 7 and 8 for lessons 16 and 19 Teacher reflection: Reinforcement: Make a memory cube by constructing a cube and sticking on pictures to represent their memories Expanded opportunities: Measure perimeter of buildings in school grounds and draw a plan of school grounds 43
LESSON PLANS Grade 6 Unit 5: Conservation Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 21 25 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Estimates and calculates to solve problems that involve addition and subtraction of common fractions with denominators which are multiples of each other and whole numbers with common fractions; counts forwards and backwards in decimals; estimates and calculates by selecting and using operations appropriate to solving problems that involve equivalent fractions; estimates and calculates by selecting and using operations appropriate to solving problems that involve finding fractions of whole numbers; recognises and uses equivalent forms of numbers, including common fractions with 1-digit or 2-digit denominators; solves problems that involve comparing 2 quantities of different kinds; writes number sentences to describe a problem situation including problems within context of human rights, social, economic, cultural and environmental issues; estimates and calculates by using operations to solve problems that involve addition and subtraction of whole numbers. Investigates and extends numeric and geometric patterns including patterns represented in physical or diagrammatic form. Locates positions on a coded grid, describes how to move between positions on a grid and recognises maps as grids; recognises, visualises and names 2-D shapes and 3-D objects in natural and cultural forms and geometric settings focussing on similarities and differences between tetrahedral and other pyramids. Describes and illustrates ways of representing time in different cultures throughout history; investigates and approximates perimeter using rulers or measuring tapes; investigates and approximates area of polygons in order to develop an understanding of square units. 44 Integration Natural Sciences LO 1, 2 Content/Knowledge: Fractions, Decimals, Comparing quantities, Patterns, Grid, 3-D objects, Time, Area, Perimeter, Length Learning activities Teaching methods/approach Resources Lesson 1: Subtraction of common fractions LB p101 Lesson 2: Counting in decimal fractions LB p102 Lesson 3: Finding equivalent fractions LB p103 Lesson 4: Common fractions and decimals LB p104 Lesson 5: Writing numbers as fractions LB p105 Lesson 6: Adding and subtracting fractions LB p106 Lesson 7: Comparing quantities LB p107 Lesson 8: Sharing quantities LB p108 Lesson 9: Number patterns LB p109 Lesson 10: Describing number patterns LB p110 Lesson 11: Position on a grid LB p111 Lesson 12: Grids and maps LB p112 Rules regarding subtraction of fractions TG p61 Counting and number line activities TG p61 Lowest common multiples without remainders TG p62 Methods of division TG p62 Find fractions of whole numbers TG p63 Fraction activity TG p63 Comparing quantities of different kinds TG p64 Dividing 3-digit numbers by 2-digit numbers TG p65 Extend number pattern TG p66 Developing a formula for patterns TG p66 Reading co-ordinates TG p67 Develop and extend concept of co-ordinates TG p67 Mathematics Grade 6 Learner's Book and Teacher's Guide Calculator Plastic bottle Prestik or candle wax
Lesson 13: Comparing 3-D objects LB p113 Tetrahedron, square pyramid and rectangular pyramid TG p68 Discussions, questioning and reporting back on shapes TG p68 Lesson 14: Sorting 3-D objects LB p114 Lesson 15: Representing time through the ages LB p115 Lesson 16: Area and perimeter LB p116 & 117 Lessons 17 & 18: Calculating area and Rules for Length x Breadth TG p70 calculating area LB p118 & 119 Lesson 19: Problem-solving with basic operations LB p120 & 121 Lesson 20: Problem-solving using calculators LB p122 Lesson 21: Fractions of whole numbers LB p123 Lesson 22: Problem solving: fractions of whole numbers LB p124 Lesson 23: Assessment LB p125 Assessment activity TG p73 Assessment: Type of assessment: Formal assessment for lessons 2, 4, 9, 11, 14, 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo Teacher reflection: Make a water clock and discuss TG p69 Difference between perimeter and area TG p69 Calculate the solutions to the problems TG p70 Use basic operations and a calculator TG p71 Stress the relationship of 'of' and multiplication TG p72 Use operations to solve problems TG p72 Reinforcement: Lesson 1 homework task Expanded opportunities: Calculate the areas of the school buildings based on perimeter measurements 45
LESSON PLANS Grade 6 Unit 6: Money wise Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 26 30 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 5: Data handling Assessment Standards Recognises and represents decimal fractions to at least two decimal places; recognises and represents multiples of at least any 2-digit and 3-digit whole numbers; solves problems that involve comparing two quantities of different kinds; uses a range of strategies to check solutions and judge the reasonableness of solutions; recognises, describes and uses divisibility rules for 2, 5, 10, 100 and 1000; recognises, describes and uses the commutative, associative and distributive properties with whole numbers; recognises and uses equivalent forms of 9-digit numbers, including common fractions; estimates and calculates using operations appropriate to solving problems that involve finding percentages of whole numbers and that involve addition and subtraction of positive decimals with at least 2 decimal places. Solves problems that involve comparing two quantities of different kinds; writes number sentences to describe a problems situation, including problems within contexts that may be used to build awareness of human rights, social, economic, cultural and environmental issues. Locates positions on a coded grid, describes how to move between positions on the grid, and recognises maps as grids; investigates and compares 2-D shapes and 3-D objects by making three dimensional models using a pair of compasses to draw circles, patterns in circles, and patterns with circles; investigates and compares 2-D shapes and 3-D objects by making 3-D models using nets provided by the teacher. Examines ungrouped numerical data to determine the most frequently occurring score and the midpoint of the data set in order to describe central tendencies; draws a variety of graphs to display and interpret data including bar graphs and double bar graphs. Integration Economic & Management Sciences LO 1, 2, 3 Content/Knowledge: Decimals/fractions, Multiples, Rate, Basic operations, Divisibility, Mode/median, Grids, Compass, Tangrams, Graphs Learning activities Teaching methods/approach Resources Lesson 1: Comparing decimal fractions LB p126 Lesson 2: More comparing decimal fractions LB p127 Lesson 3: Multiples LB p128 Lesson 4: Problem-solving involving rate LB p129 Lesson 5: Problem-solving LB p130 Lesson 6: Properties of operations LB p131 Lesson 7: Divisibility by 10; 100 and 1000 LB pp132 & 133 Lesson 8: Associative and distributive properties LB p134 Lesson 9: Solve and complete number sentences LB p135 Lesson 10: Write and solve number sentences LB p136 Fraction size related to denominator TG p74 Filling in number lines using fractions TG p74 Finding multiples TG p75 Comparing prices TG p75 Determining different amounts TG p76 Do calculations of same operations in different order TG p76 Own methods of division TG p77 Commutative, associative and distributive properties TG p77 Open number sentences - equations TG p78 Use correct notation to solve problems TG p79 Mathematics Grade 6 Learner's Book and Teacher's Guide Square grid paper Compasses Scissors 46
Lesson 11: Drawing shapes on grids LB p137 Lesson 12: Patterns using a pair of compasses LB p138 Lesson 13: A shape puzzle LB p139 Lesson 14: Tangrams LB p140 Lesson 15: Problem solving LB p141 Lesson 16: Mode and median LB p142 & 143 Lesson 17: Understanding mode and median LB p144 Lesson 18: Interpreting information and drawing graphs LB p145 Lesson 19: Reading and interpreting information LB p146 Lesson 20: Equivalent form of numbers LB p147 Lesson 21: Converting between common fractions, decimal fractions and percentages LB p148 Copy shape onto grid TG p79 Circumference, radius and diameter TG p80 Shapes and parallelograms TG p80 Build shapes TG p81 Calculate costs and complete questions TG p81 Questions on mode and median TG p82 Do activity and compare answers TG p82 Organising information through the use of graphs TG p83 Identify main features in graph TG p83 Manipulation of numbers TG p84 Conversions between the 3 forms: fractions, decimals and percentages TG p84 Lesson 22: Equivalent form of numbers LB p149 Lesson 23: Assessment LB p150 Assessment: Type of assessment: Formal assessment for lessons 7, 10, 11, 15, 21, 22, 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Use of different forms of fractions numbers TG p85 Assessment activity TG p85 Reinforcement: Calculate circumference, radius and area of tin cans of food Expanded opportunities: Make labels for tin cans based on calculations 47
LESSON PLANS Grade 6 Unit 7: Africa Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 31 35 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 5: Data handling Assessment Standards 48 Integration Estimates and calculates using operations appropriate to solving problems that involve addition and subtraction of positive decimals with at least two decimal places; recognises and represents prime numbers to at least 100; uses a range of strategies to check solutions and judge the reasonableness of solutions; uses a range of techniques to perform written and mental calculations with whole numbers including using a calculator; solves problems in context including context of measurement in natural sciences and technology contexts; recognises and represents factors of at least any 2-digit and 3-digit whole numbers; estimates and calculates by using operations to solve problems that involve addition and subtraction of whole numbers; recognises and represents prime numbers to at least 100; counts forwards and backwards in decimals. Recognises, visualises and names 2-D shapes and 3-D objects in natural and cultural forms and geometric settings, focussing on similarities and differences between rectangles and parallelograms Describes and classifies 2-D shapes and 3-D objects in terms of faces, vertices and edges; draws and interprets sketches of 3-dimensional objects from different positions; uses the vocabulary and properties of translations to describe the relationship between 2-D shapes and 3-D objects within patterns. Lists possible outcomes for simple experiments; critically reads and interprets data to draw conclusions and make predictions sensitive to the role of human rights issues; predicts likelihood of events in daily life based on observation and places them on a scale from 'impossible' to 'certain'. Social Sciences (Geog) LO 1 Natural Sciences LO 1, 2 Economic & Management Sciences LO 1 Content/Knowledge: Cultural patterns, 3-D objects, Fractions/decimals, Prime numbers, Factors, Patterns, Graphs Learning activities Teaching methods/approach Resources Lesson 1: Visualise, recognise and name shapes LB p151 Lesson 2: Adding and subtracting decimal fractions LB p152 Lesson 3: Problem-solving p153 Lesson 4: Problem-solving using strategies LB p154 Lesson 5: Problem-solving using different techniques LB p155 Lesson 6: Problem-solving with area LB p156 Lesson 7: Solving number sentences LB p157 Lesson 8: Number sentences LB p158 Lesson 9: Comparing 3-D objects LB p159 Lesson 10: Objects from different views LB p160 Lesson 11: Transformation of shapes in patterns LB p161 Lesson 12: Factors LB p162 Identifying shapes in the environment, design and build a bridge TG p86 Link between decimal fractions and working with money TG p86 Prime numbers and composite numbers TG p87 Drawing and illustrating to solve problems TG p87 Playing a game using a calculator TG p88 Interpreting data to solve problems TG p89 Developing own methods and strategies TG p89 Write number sentences to consolidate basic operations TG p90 Differences between faces, vertices and edges TG p90 The birds eye view used in map-making TG p91 Translation, reflection and rotation TG p91 Factors of numbers TG p92 Mathematics Grade 6 Learner's Book and Teacher's Guide Drinking straws Pipe cleaners Used matchsticks Coins Dice Spinner
Lesson 13: Puzzles using matchstick shapes LB p163 Lesson 14: What are the chances? LB p164 Lesson 15: Drawing graphs and interpreting information LB p165 Lesson 16: Interpreting bar graphs LB p166 & 167 Lesson 17: Exploring likelihood LB p168 Lesson 18: Counting in whole numbers and fractions LB p169 Lesson 19: Prime numbers LB p170 Lesson 20: Exploring prime numbers LB p171 Lesson 21: Counting with decimal fractions LB p172 Lesson 21: Investigation in groups with patterns TG p92 Predicting results by tossing a coin TG p93 Pictograms TG p93 Draw a table to show information clearly TG p94 Possibility TG p94 Assessment LB p173 Assessment: Type of assessment: Formal assessment for lessons 8, 17, 21 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Exposure to the processes of calculating using whole numbers or fractions TG p95 Extending the grid using prime and composite numbers TG p96 Difference between prime numbers and multiples TG p96 Counting backwards and forwards with decimal fractions TG p96 Assessment activity TG p97 Reinforcement: Instamaths Grade 6 Expanded opportunities: Make a map of the school from a bird s eye view 49
LESSON PLANS Grade 6 Unit 8: Healthy living Learning Area/s: Maths Grade: 6 Duration: 25 hours Weeks: 36 40 Learning Outcome LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement Assessment Standards Integration Solves problems in context including context of measurement in natural sciences and technology context; solves problems that involve comparing two quantities of different kinds; describes and illustrates written number systems different to own; estimates and calculates by solving problems that involve addition and subtraction of whole numbers with common fractions and of positive decimals with at least 2 decimal places; estimates and calculates to solving problems that involve finding percentages of whole numbers; addition and subtraction of whole numbers, multiplication of at least whole 4-digit by 3-digit numbers, division of at least whole 4-digit by 3-digit numbers. Determines output values or input values using flow diagrams. Draws enlargements and reductions of 2-D shapes using grid paper to compare their size and shape; recognises, visualises and names 2-D shapes and 3-D objects in natural and cultural forms and geometric settings focussing on similarities and differences between rectangles and parallelograms; investigates and compares 2-D shapes and 3-D objects according to properties by using a pair of compasses to draw circles, patterns in circles and patterns within circles; describes and classifies 2-D shapes and 3-D objects in terms of properties including lengths of sides. Investigates relationship between the perimeter and area of rectangles and squares; investigates relationship between the surface area and dimensions of rectangular prisms; investigates and approximates value/capacity of 3-D objects in order to develop an understanding of cubic units. Social Sciences (His) LO 1 Life Orientation LO 2 Economic & Management Sciences LO 1 Content/Knowledge: Basic operations, Number systems, LCD, Fractions/decimals, Percentage, Enlargements, Shapes, Volume, Capacity Learning activities Teaching methods/approach Resources Lesson 1: Problem solving with basic operations LB p174 Lesson 2: Rate and problem-solving LB p175 Lesson 3: Number systems LB p176 Lesson 4: Lowest common denominator (LCD) LB p177 Lesson 5: Addition and subtraction of decimals LB p178 Lesson 6: Addition and subtraction of decimal fractions p179 Lesson 7: Value of decimal numbers LB p180 Lesson 8: Percentages of whole numbers LB p181 Lesson 9: Problem-solving with percentages LB p182 Strategising in order to solve problems, rules for calculating area and perimeter TG p98 Kilometres per hour, minutes per hour and hours per day TG p98 History of our number system, a combination of Hindu and Arabic systems TG p99 LCD: the lowest number that both denominators can be divided into without a remainder TG p99 Do the same rules apply for decimals as with money? TG p100 Add and subtract decimal fractions TG p100 More digits does not always mean a higher value TG p101 Percentage as a fraction with a denominator of 100 TG p102 Percentage discount should be subtracted from 100% TG p102 Mathematics Grade 6 Learner's Book and Teacher's Guide Paper Scissors Grid paper Boxes 50
Lesson 10: Flow diagrams and tables LB p183 Lesson 11: Describing rules differently LB p184 Lesson 12: Reductions of shapes LB p185 Lesson 13: Enlargement of shapes LB p186 Lesson 14: Exploring shapes LB p187 Lesson 15: Using shapes LB p188 Lesson 16: Problem solving using area and perimeter LB p189 Lesson 17: Exploring rectangles, squares and parallelograms LB pp190 & 191 Lesson 18: Volume LB p192 Lesson 19: Volume of rectangular prisms LB p193 Lesson 20: Surface area of prisms and volume LB pp194 & 195 Lesson 21: Volume and capacity LB p196 Lesson 22: Basic operations LB p197 Lesson 23: Relationship between input and output values TG p102 Correct terminology when working with number sentences TG p103 Reduction and enlarging of shapes TG p103 Twice as wide and twice as tall TG p104 Answer questions TG p104 Methods to find a square p104 Using subtraction to determine area TG p105 Revision exercise TG p105 Volume exercises TG p106 Volume and capacity of 3-D objects TG p106 Counting faces, strategising to find a quicker method to calculate areas TG p107 Revise the formula h x l x b TG p107 Revision exercise TG p108 Assessment LB p198 Assessment: Type of assessment: Formal assessment for lessons 4, 6, 8, 13, 23 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memos Teacher reflection: Assessment activity TG p108 Reinforcement: Instamaths Grade 6 Expanded opportunities: Calculate class marks as percentages 51
Mathematics Grade 4 Milestones: TERM 1 MILESTONE Counting forwards and backwards in a variety of intervals (including 2s, 3s, 5s, 10s, 25s, 50s and 100s) between 0 and 1000 Recognise and represent numbers in order to describe and compare them: expanded notation of numbers to 1000 common fractions with different denominators including halves, thirds, quarters and eighths common fractions in diagrammatic form decimal fractions of the form 0.5 in the context of measurement odd and even numbers to at least 1000 multiples of two single-digit numbers to at least 100 Recognise the place value of digits in whole numbers to a minimum of 3-digit numbers LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 4 Ch 1: Animals, lesson 1: p1 Ch 1: Animals, lesson 8: p8 Ch 2: Messages, lesson 6: p17 Perform mental calculation involving addition and subtraction of: Ch 1: Animals, lesson 3: p3 a single-digit to a two-digit number e.g. 53+4, 63+4, 72-5, 62-5 2 two-digit numbers where one number is a whole ten e.g. 39+10, 39+30, 97-20, 23-10 Perform mental calculations involving multiplication of two single-digit numbers in number range dealt with Ch 1: Animals, lesson 7: p7 Use a range of techniques to perform written and mental Ch 3: Green around me, lesson 2: p23 calculations with whole numbers including: building up and breaking down numbers Ch 4: Moneywise I, lesson 7: p38 rounding off doubling and halving using a number line Solve problems in context using a variety of strategies with numbers to 500 using a number chart if necessary Ch 1: Animals, lesson 2: p2 Investigate and extend numeric and geometric patterns looking Ch 1: Animals, lesson 1: p1 for general rules or a relationship, including patterns: represented in physical and diagrammatic form Ch 1: Animals, lesson 3: p3 of learner's own creation Describe observed relationships of rules in own words Ch 3: Green around me, lesson 3: p23 Determine the output values for given input values using: Ch 1: Animals, lesson 7: p7 verbal description flow diagrams Recognise, visualise and name 2-dimensional shapes and 3- Ch 1: Animals, lesson 4: p4 dimensional objects in the environment including: rectangular prisms, spheres, cylinders and other objects Ch 1: Animals, lesson 5: p5 prisms and pyramids circles and rectangles polygons in terms the number of sides up to 6-sided figures Describe, sort and compare 2-dimensional shapes and 3- dimensional objects from the environment according to geometric properties including: shapes of faces number of sides flat and curved surfaces, straight and curved sides Investigate and compare 2-dimensional, shapes and 3- dimensional objects according to properties listed above: making 3-dimensional models using cut-out polygons (supplied) Ch 1: Animals, lesson 5: p5 Ch 4: Moneywise I, lesson 3: p34 52
Mathematics Grade 4 Milestones: TERM 2 MILESTONE Counting forwards and backwards in a variety of intervals (including 2s, 3s, 5s, 9s, 10s, 11s, 25s, 50s and 100s) between 0 and 2000 Ways of counting in different cultures (including local) throughout history Recognise and represent numbers in order to describe and compare them: LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 4 Ch 6: Timelines, lesson 2: p52 Ch 8: Maths long ago, lessons 1 & 2: p71 Ch 5: Friends, lesson 1: p41 expanded notation of numbers to 5000 Ch 6: Timelines, lesson 1: p52 common fractions with different denominators including Ch 7: My favourite things, lesson 2: p62 halves, thirds, quarters, sixths and eighths common fractions in diagrammatic form decimal fractions of the form 0,5, 1,5 and 2,5 in the context of measurement multiples of 2 two-digit numbers where one number is a whole 10 to at least 200 Recognise the place value of digits in whole numbers to a Ch 5: Friends, lesson 7: p47 minimum of 4-digit numbers Recognise and use equivalent forms of the numbers listed above including: common fractions with denominators that are multiples of each other decimal fractions of the form 0,5, 1,5 and 2,5 and so on in the context of measurement Perform mental calculations involving addition, subtraction and multiplication within the number range dealt with Solve problems in contexts such as: financial (buying, selling and simple budgets) measurements in Natural Sciences and Technology contexts Use a range of techniques to perform written and mental calculations with whole numbers including: Ch 6: Timelines, lesson 1: p51 Ch 5: Friends, lesson 7: p47, lesson 8: p48 Ch 4: Money wise 1, lesson 1: p31 Ch 6: Timelines, lesson 2: p52 building up and breaking down numbers Ch 7: My favourite things, lesson 1: p61 rounding off and compensating Ch 8: Maths long ago, lesson 7: p78 doubling and halving using a number line using a calculator Recognise and describe lines of symmetry in 2-dimensional shapes including those in nature and its cultural art forms Make 2-dimensional shapes, 3-dimensional objects and patterns from geometric objects and shapes (e.g. tangrams) with a focus on tiling (tessellations) and line symmetry. Ch 5: Friends, lesson 3: p43 Ch 6: Timelines, lesson 3: p54 Ch 8: Maths long ago, lesson 4: pp74, 75 Read, tell and write analogue, digital and 24-hour time to at Ch 8: Maths long ago, lesson 8: p79 least the nearest minute and second Solve problems involving calculation and conversion between Ch 6: Timelines, lesson 3: p53 appropriate time units including seconds, minutes, hours, days, weeks, months and years Use time-measuring instruments to appropriate levels of Ch 8: Maths long ago, lesson 8: p79 precision, including watches and clocks Describe and illustrate ways of measuring and representing time Ch 6: Timelines, lesson 6: p57 in different cultures throughout history Estimate, measure, record, compare and order 2-dimensional Ch 10: Machines, lesson 9: p99 shapes and 3-dimensional objects using SI units with appropriate precision for: Mass (grams and kilograms) 53
MATHEMATICS Grade 4 Milestones: TERM 3 MILESTONE Counting forwards and backwards in a variety of intervals (including 2s, 3s, 4s, 5s, 9s, 10s, 11s, 25s, 50s and 100s) between 0 and 5000 Recognise and represent numbers in order to describe and compare them: LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 4 Ch 11: Water wise, lesson 1: p101 Ch 10: Machines, lesson 9: p92 whole numbers to at least 4 digits Ch 9: Creepy crawlies, lesson 9: p89 common fractions with different denominators including Ch 10: Machines, assessment: p100 halves, thirds, quarters, fifths, sixths and eighths common fractions in diagrammatic form decimal fractions of the form 0.5, 1.5 and 2.5 in the context of measurement Recognise the place value of digits in whole numbers to a Ch 9: Creepy crawlies, lesson 2: p82 minimum of 4-digit numbers Solve problems involving: comparing two or more quantities of the same kind (ratio) comparing two or more quantities of different kinds (rate, e.g. kg/r) Estimate and calculate by selecting and using operations appropriate to solve problems that involve: Ch 10: Machines, lesson 9: p99 Ch 9: Creepy crawlies, lesson 2: p82 rounding off to the nearest 10, 100 or 1000 Ch 9: Creepy crawlies, lesson 7: p87 addition and subtraction of whole numbers with at least 4 Ch 9: Creepy crawlies, lesson 8: p88 digits addition of common fractions in context Ch 10: Machines, lesson 2: p92 multiplication of at least whole 2-digit by 2-digit numbers to 200 division of at least a whole 3-digit by 2-digit numbers equal sharing with remainders Perform mental calculations involving: Ch 9: Creepy crawlies, lesson 1: p81 addition and subtraction Ch 10: Machines, lesson 8: p98 multiplication of at least whole numbers to at least 10 x 10 Write number sentences to describe a problem situation within Ch 11: Water wise, lesson 2: p102 a context Solve or complete number sentences by inspection or by trialand-improvement, checking the solutions by substitution (e.g. x 4 = 12) Determine through discussion and comparison, the equivalence of different descriptions of the same relationship or rule represented: verbally in a flow diagram by number sentences Estimate, measure, record, compare and order 2-dimensional shapes and 3-dimensional objects using SI units with appropriate precision for: capacity (millimetres and litres) Using appropriate measuring instruments to appropriate levels of precision including: measuring jugs to measure capacity Solve problems involving selecting, calculating with and converting between appropriate SI units listed above Pose simple questions about own school and family environment and identify appropriate data sources Collect data in the classroom and school environment to answer questions posed by the teacher and the class Organise and record data using tallies and tables Ch 10: Machines, lesson 2: p92 Ch 11: Water wise, lesson 4: p104 Ch 11: Water wise, lesson 9: p109 Ch 11: Water wise, lesson 9: p109 Ch 11: Water wise, lesson 8: p108 Ch 11: Water wise, lesson 5: p105 Ch 9: Creepy crawlies, lesson 6: p86 Ch 10: Machines, lesson 1: p91 54
Draw graphs and interpret data (ungrouped) pictographs with a one-to-one correspondence between data and representation (e.g. one picture = one person) bar graphs Ch 11: Water wise, lesson 6: p106 Ch 10: Machines, lesson 6: p96 55
Mathematics Grade 4 Milestones: TERM 4 MILESTONE Count forwards and backwards in a variety of intervals (including 2s, 3s, 4s, 5s, 9s, 10s, 11s, 20s, 25s, 50s and 100s) between 0 and 10 000 Recognise and represent numbers in order to describe and compare LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 4 Ch 14: Building blocks, lesson 2: p132 Ch 13: Caring about people, lesson 1: p121 them: whole numbers to at least 4 digits Ch 13: Caring about people, lesson 2: p122 common fractions with different denominators including halves, thirds, quarters, fifths, sixths, sevenths and eighths multiples of single-digit numbers to at least 100 Use a range of techniques to perform written and mental calculations with whole numbers including: Ch 12: Moneywise 2, lesson 1: p111 building up and breaking down numbers Ch 15: Transport, lesson 6: p146 rounding off and compensating doubling and halving using a number line using a calculator Estimate and calculate by selecting and using operations appropriate to solve problems that involve: Ch 13: Caring about people, lesson 6: p126 rounding off to the nearest 10, 100 or 1000 Ch 13: Caring about people, lesson 8: p128 addition and subtraction of whole numbers with at least 4 digits Ch 14: Building blocks, lesson 7: p137 addition of common fractions in context multiplication of at least whole 2-digit by 2-digit numbers to 200 multiplication of 3-digit by 1-digit numbers division of at least a whole 3-digit by 1-digit numbers equal sharing with remainders Use a range of strategies to check solutions and judge reasonableness of solutions Recognise, describe and use: the reciprocal relationship between multiplication and division (e.g. if 5 x 3 = 15, then 15 3 = 5 the equivalence of divisions and fractions (e.g. 1 8 = 1/8) the commutative, associative and distributive properties with whole numbers (learners able to use properties; not necessarily know the names) Recognise and describe 2-dimensional shapes, 3-dimensional objects and patterns in terms of geometric properties Ch 13: Caring about people, lesson 7: p127 Ch 15: Transport, lesson 2: p142 Ch 14: Building blocks, lesson 4: p134 Describe changes in the view of an object held in different positions Ch 10: Machines, lesson 5: p95 Locate positions on a coded (labelled) grid including: Ch 13: Caring about people, lesson 5: p125 maps from given instructions column and row Investigate and approximate: Ch 12: Moneywise 2, lesson 9: p119 perimeter using rulers or measuring tapes Ch 14: Building blocks, lesson 9: p139 area of polygons (using square grids and tiling) to develop understanding of square units volume/capacity of 3-dimensional objects (by packing or filling them) in order to develop an understanding of cubic units Critically read and interpret data presented in a variety of ways (including own representations, representations in the media) to draw conclusions and make predictions sensitive to the role of: Ch 13: Caring about people, lesson 9: p129 context (e.g. rural or urban) Ch 12: Moneywise 2, lesson 8: p118 other human rights issues Compare and classify events in daily life as: Ch 12: Moneywise 2, lesson 6: p116 certain they will happen certain they will not happen uncertain Count the number of possible outcomes for simple trials Ch 13: Caring about people, lesson 7: p127 56
Mathematics Grade 5 Milestones: TERM 1 MILESTONE LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 5 Count forwards and backwards in whole number intervals and Ch 1: Water, lesson 9: p9 fractions Ways of writing numbers in different cultures (including local) Ch 5: Technology, lesson 1: p98 throughout history Recognise the place value of digits in whole numbers to 4 digits Ch 1: Water, lesson 1: p1 Recognise and represent in order to compare: Ch 1: Water, lesson 2: p2 to a minimum of 4-digit whole numbers common fractions to eighths decimal fractions of the form 0,5, 1,5 and 2,5 and so on in the context of measurement Estimate and calculate by selecting and using operations Ch 1: Water, lesson 4: p4 appropriate to solve problems that involve: rounding off to the nearest 10, 100 or 1000 Ch 2: Moneywise, lesson 6: p32, 33 addition and subtraction of whole numbers with at least 4 Ch 2: Moneywise, lesson 7: p34, 35 digits addition of common fractions in context multiplication of at least whole 2-digit by 2-digit numbers to 500 multiplication of 3-digit by 1-digit numbers division of at least a whole 3-digit by 1-digit numbers equal sharing with remainders Use a range of techniques to perform written and mental Ch 1: Water, lesson 3: p3 calculations with whole numbers including: building up and breaking down numbers, [including Ch 2: Moneywise, lesson 4: p30 expanded notation] including expanded notation Ch 2: Moneywise, lesson 5: p31 rounding off and compensating doubling and halving using a number line using a calculator Mental calculations involving addition, subtraction and Ch 2: Moneywise, lesson 5: p31 multiplication (10 x 10) Write number sentences to describe a problem situation within a Ch 2: Moneywise, lesson 3: p29 context Investigate and extend numeric and geometric patterns looking Ch 1: Water, lesson 6: p6 for general rules or a relationship, including patterns: represented in physical and diagrammatic form of learner's own creation Describe observed relationships of rules in own words Ch 2: Moneywise, lesson 4: p30 Determine output values for given input values using: Ch 2: Moneywise, lesson 20: p48 verbal description flow diagrams Recognise, visualise and name 2-dimensional shapes and 3- Ch 1: Water, lesson 16: p16, lesson 17: p17 dimensional objects focussing on: similarities and differences between cubes and rectangular Ch 1: Water, lesson 18: p18 prisms similarities and differences between squares and rectangles Describe, sort and compare 2-dimensional shapes and 3- Ch 1: Water, lesson 7: p7 dimensional objects in terms of properties: number and/or shape of faces number and/or length of sides Investigate and compare 2-dimensional shapes and 3- Ch 2: Moneywise, lesson 12: p40 dimensional objects according to the properties listed above: make models of geometric objects using polygons they have Ch 2: Moneywise, lesson 13: p41 cut out cutting open models or geometric objects (e.g. boxes) to trace their nets drawing shapes on grid paper Ch 2: Moneywise, lesson 14: p42 57
Mathematics Grade 5 Milestones: TERM 2 MILESTONE 58 LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 5 Ch 3: Green landscapes, lesson 1: p51 Counting forwards and backwards in whole number intervals and fractions Recognise the place value of digits in whole numbers to a Ch 4: My country, lesson 5: p77 minimum of 5-digit numbers Recognise and represent in order to compare: Ch 3: Green landscapes, lesson 2: p52 to a minimum of 5-digit whole numbers Ch 3: Green landscapes, lesson 3: p53 common fractions to twelfths decimal fractions of the form 0,5, 1,5 and 2,5 and so on in the context of measurement [multiples of single-digit numbers to at least 100 0 in terms of additive inverses 1in terms of multiplicative inverses] Recognise and use equivalent forms of the numbers listed above including: Ch 3: Green landscapes, lesson 4: p54 common fractions with denominators that are multiples of Ch 3: Green landscapes, lesson 5: p55 each other decimal fractions of the form 0,5, 1,5 and 2,5 and so on in Ch 4: My country, lesson 10: p82 the context of measurement Estimate and calculate by selecting and using operations and Ch 3: Green landscapes, lesson 6: p56 techniques appropriate to solve problems that involve: rounding off to the nearest 5, 10, 100 or 1000 Ch 3: Green landscapes, lesson 7: p57 addition and subtraction of whole numbers with at least 5 Ch 3: Green landscapes, lesson 8: p58 digits addition of common fractions with the same denominator multiplication of at least whole 2-digit by 2-digit numbers to at least 1000 multiplication of 3-digit by 1-digit numbers division of at least a whole 3-digit by 1-digit numbers finding fractions of whole numbers which result in whole numbers Solve problems in contexts such as: Ch 2: Money wise, lesson 20: p48 financial (buying, selling, profit, loss, simple budgets) measurements in Natural Sciences and Technology contexts Write number sentences to describe a problem situation within a context Investigate and extend numeric and geometric patterns looking for general rules or a relationship, including patterns: found in natural and cultural contexts of learner's own creation Recognise, describe and perform rotations (turns), reflections (flips) and translations (slides) using geometric figures and solids Ch 4: My country, lesson 1: p74 Ch 3: Green landscapes, lesson 21: p71 Ch 3: Green landscapes, lesson 16,17: p66, 67 Make 2-dimensional shapes, 3-dimensional objects and patterns Ch 3: Green landscapes, lesson 18: p68 from geometric shapes and describe these in terms of: tessellations Ch 3: Green landscapes, lesson 19: p69 line and rotational symmetry Ch 3: Green landscapes, lesson 20: p70 movement including rotations, reflections and translations Read, tell and write analogue, digital and 24-hour time to at least the nearest minute and second Solve problems involving calculation and conversion between appropriate time units including decades, centuries and millennia Use time measuring instruments to appropriate levels of precision including watches and stopwatches Describe and illustrate ways of representing time in different cultures throughout history Ch 1: Water, lesson 23: p25 Ch 4: My country, lesson 14: p86 Ch 4: My country, lesson 15: p87 Ch 5: Technology, lesson 17: p115
Estimate, measure, record, compare and order 2-dimensional shapes and 3-dimensional objects using SI units with appropriate precision for: Mass (grams and kilograms) Capacity (millilitres and litres) Length (millimetres, centimetres, metres and kilometres) Temperature (degree Celsius scale) Solve problems involving selecting, calculating with and converting between appropriate SI units above Organise and record data using tallies and tables Examine ungrouped numerical data to determine the most frequently occurring score (mode) of the data Describe central tendencies using the mode of the data collected Ch 4: My country, lesson 16: p 88 Ch 4: My country, lesson 17: p 89 Ch 3: Green landscapes, lesson 10: p60 Ch 4: My country, lesson 7: p79 Ch 3: Green landscapes, lesson 9: p59 Ch 4: My country, lesson 22: p94 Ch 4: My country, lesson 23: p95 Ch 4: My country, lesson 23: p95 59
Mathematics Grade 5 Milestones: TERM 3 MILESTONE 60 LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 5 Ch 5: Technology, lesson 3: p100 Count forwards and backwards in whole number intervals and fractions Recognise the place value of digits in whole numbers to a Ch 5: Technology, lesson 5: p102 minimum of 6-digit numbers Recognise and represent in order to compare: Ch 5: Technology, lesson 2: p99 to a minimum of 6-digit whole numbers Ch 5: Technology, lesson 4: p101 common fractions to twelfths multiples of single-digit numbers to at least 100 factors of any 2-digit whole number Solve problems involving: Ch 5: Technology, lesson 7: p104, lesson 8: p105 comparing two or more quantities of the same kind (ratio) Estimate and calculate by selecting and using operations and techniques appropriate to solve problems that involve: Ch 6: Sport, lesson 7: p127 rounding off to the nearest 5, 10, 100 or 1000 Ch 6: Sport, lesson 10: p130 [addition and subtraction of whole numbers with at least 5 digits] addition and subtraction of common fractions with the same denominator and whole numbers with common fractions (mixed numbers) Ch 6: Sport, lesson 13: p133 multiplication of at least whole 3-digit by 2-digit numbers Ch 6: Sport, lesson 11: p131 division of at least a whole 3-digit by 2-digit numbers finding fractions of whole numbers which result in whole numbers Perform mental calculations involving: addition and subtraction multiplication of whole numbers to at least 10 x 10 Solve or complete number sentences by inspection or by trial-andimprovement, checking the solution by substitution (e.g. x 4 = 12) Ch 6: Sport, lesson 6: p126 Ch 6: Sport, lesson 10: p130 Write number sentences to describe a problem situation within a Ch 6: Sport, lesson 10: p130 context Investigate and extend numeric and geometric patterns looking for Ch 6: Sport, lesson 15: p135 general rules or a relationship, including patterns: not limited to sequences involving constant difference or ratio Determine through discussion and comparison, the equivalence of Ch 6: Sport, lesson 16: p136 different descriptions of the same relationship or rule represented: verbally in flow diagrams by number sentences Describes and sketches views of a simple 3-dimensional object in different positions Ch 5: Technology, lesson 16: p114 Investigate and approximate: Ch 5: Technology, lesson 21: p116 perimeter using rulers or measuring tapes Ch 5: Technology, lesson 23: p118 area of polygons (using square grids and tiling) to develop an Ch 5: Technology, lesson 24: p119 understanding of square units Pose simple questions about own school and family environment, Ch 6: Sport, lesson 3: p123 and identify appropriate data sources Make and use simple data collection sheets that involve counting Ch 5: Technology, lesson 8: p105 objects in order to collect data to answer questions posed by the teacher and the class Organise and record data using tallies and tables Examine ungrouped numerical data to determine mode Draw graphs and interpret data (ungrouped): pictographs with a many-to-one correspondence and appropriate keys e.g. one picture = 10 persons bar graphs Ch 5: Technology, lesson 8: p105 Ch 6: Sport, lesson 3: p123 Ch 4: My country, lesson 21: p95
Mathematics Grade 5 Milestones: TERM 4 MILESTONE LESSON IN NEW DAY-BY-DAY MATHEMATICS GR5 Ch 8: Past, present, future, lesson 6: p158 Use a range of techniques to perform written and mental calculations with whole numbers including: adding and subtracting in columns Ch 8: Past, present, future, lesson 7: p159 building up and breaking down numbers rounding off and compensating doubling and halving using a calculator Estimate and calculate by selecting and using operations appropriate to solve problems that involve: rounding off to the nearest 5, 10, 100 or 1000 addition and subtraction of whole numbers with at least 6 digits multiplication of at least whole 3-digit by 2-digit numbers division of at least a whole 3-digit by 2-digit numbers equivalent fractions Solve problems involving: comparing two or more quantities of different kinds (rate, e.g. learners/teachers) Use a range of techniques to check solutions and judge the reasonableness of solutions Ch 8: Past, present, future, lesson 4: p156 Ch 5: Technology, lesson 7: p104 Ch 8: Past, present, future, lesson 4: p156 Write number sentences to describe a problem situation within Ch 8: Past, present, future, lesson 7: p159 a context Recognise, describe and use: Ch 8: Past, present, future, lesson 4: p156 the reciprocal relationship between multiplication and division e.g. if 5 x 3 = 15, then 15 (divided by) 3 = 5 the equivalence of division and fractions e.g. 1 (divided by) 8 = 1/8 the commutative, associative and distributive properties with whole numbers (use properties but not necessarily know the names) Recognise and describe 2-dimensional shapes, 3-dimensional Ch 8: Past, present, future, lesson 14: p165 objects and patterns in terms of geometric properties Locate positions on a coded (labelled) grid including maps and trace a path between positions from verbal and written instructions Investigate and approximate: volume/capacity of 3-dimensional objects in order to develop an understanding of cubic units Recognise and describe right angles in 2-dimensional shapes, 3-dimensional objects and the environment Compare, classify and order events from daily life on a scale from 'certain that they will happen' to 'certain they will not happen' List possible outcomes for simple experiments (including tossing a coin, rolling a die and spinning a spinner) Count the frequency of actual outcomes for a series of trials Ch 5: Technology, lesson 13: p110 Ch 8: Past, present, future, lesson 23: p174 Ch 4: My country, lesson 19: p91 Ch 7: The world of people, lesson 7: p150 Ch 7: The world of people, lesson 8: p151 Ch 8: Past, present, future, lesson 26: p177 61
Mathematics Grade 6 Milestones: TERM 1 MILESTONE LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 6 Ch 1: Community, lesson 7: p7 Ch 1: Community, lesson 19: p21 Count forwards and backwards in decimals Describe and illustrate number systems different to own e.g. Roman Number systems, Egyptians etc. Recognise the place value of digits in whole numbers to 6 Ch 1: Community, lesson 1: p1 digits Recognise and represent numbers in order to compare: Ch 1: Community, lesson 9: p9 to a minimum of 6-digit whole numbers Ch 2: Our changing world, lesson 6: p32 common fractions including specifically tenths 0 in terms of its additive property 1 in terms of its multiplicative property Recognise, represent and compare: Ch 1: Community, lesson 21: p23 multiples and factors of 2-digit whole numbers Estimate and calculate by selecting and using operations Ch 1: Community, lesson 4: p4 appropriate to solve problems that involve: rounding off to the nearest 5, 10, 100 or 1000 Ch 1: Community, lesson 22: p24 addition and subtraction of whole numbers Ch 2: Our changing world, lesson 1: p26, 27 addition of whole numbers with common fractions (mixed numbers) multiplication of at least whole 3-digit by 2-digit numbers division of at least whole 3-digit by 2-digit numbers finding fractions of whole numbers equivalent fractions multiple operations of whole numbers with or without brackets Use a range of techniques to perform written and mental calculations with whole numbers including: Ch 1: Community, lesson 3: p3 adding and subtracting in columns Ch 1: Community, lesson 8: p8 building up and breaking down numbers rounding off and compensating using a calculator Mental calculations using a range of techniques for addition, subtraction and multiplication in the number range dealt with Write number sentences to describe a problem situation within a context Investigate and extend numeric and geometric patterns looking for a general rule or relationships: represented in physical or diagrammatic form of learner's own creation Describe observed relationships or rules in own words Determine output values for given input values or input values for given output values using: verbal description flow diagrams tables Recognise, visualise and name 2-dimensional shapes and 3- dimensional objects focussing on: similarities and differences between tetrahedrons and other pyramids similarities and differences between rectangles and parallelograms Describe and classify 2-dimensional shapes and 3- dimensional objects in terms of properties: Ch 1: Community, lesson 20: p22 Ch 2: Our changing world, lesson 17: p43 Ch 1: Community, lesson 13: p13 Ch 2: Our changing world, lesson 8: p34 Ch 1: Community, lesson 20: p22 Ch 1: Community, lesson 15: p15 Ch 1: Community, lesson 16: p16, 17 Ch 1: Community, lesson 5: p5 faces, vertices and edges Ch 1: Community, lesson 18: p20 length of sides angle size of corners 62
Mathematics Grade 6 Milestones: TERM 2 MILESTONE LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 6 Counting forwards and backwards in decimals Ch 3: Space, lesson 19: p72, 73 Recognise the place value of digits: Ch 3: Space, lesson 1: p51 whole numbers to a minimum of 7-digit numbers Ch 4: Sports and games, lesson 2: p77 decimal fractions to at least 1 decimal place Recognise and use equivalent forms of the numbers listed Ch 3: Space, lesson 4: p54, 55 above including: common fractions with 1 digit denominators Ch 3: Space, lesson 19: p72, 73 decimal fractions to at least 1 decimal place Solve problems in contexts such as: Ch 3: Space, lesson 18: p71 financial (buying and selling, profit and loss, simple budgets) measurements in Natural Science and Technology contexts Mental calculations involving: Ch 3: Space, lesson 6: p57 addition and subtraction multiplication of whole numbers to 12 x 12 Estimate and calculate by selecting and using operations Ch 3: Space, lesson 3: p53 appropriate to solve problems that involve: rounding off to the nearest 5, 10, 100 or 1000 Ch 4: Sports and games, lesson 5: p80 addition and subtraction of whole numbers Ch 4: Sports and games, lesson 6: p81 addition and subtraction of common fractions with Ch 4: Sports and games, lesson 7: p82, 83 denominators which are multiples of each other and whole numbers with common fractions (mixed numbers) multiplication of at least whole 4-digit by 1-digit numbers division of at least whole 4-digit by 3-digit numbers addition and subtraction of positive decimals with at least 1 decimal place multiple operations of whole numbers with or without brackets Use a range of techniques to perform written and mental Ch 4: Sports and games, lesson 1: p76 calculations with whole numbers including: multiplying in columns building up and breaking down numbers rounding off and compensating using a calculator Use a range of techniques to check solutions and judge Ch 3: Space, lesson 9: p85 reasonableness of solutions Write number sentences to describe a problem situation within Ch 3: Space, lesson 9: p85 a context Investigate and extend numeric and geometric patterns Ch 3: Space, lesson 15: p66, 67 looking for general rules or relationships: represented in physical or diagrammatic form not limited to sequences involving constant difference or ratio Describe observed relationships or rules in own words Ch 3: Space, lesson 15: p66, 67 Use the vocabulary and properties of rotations, reflections and Ch 3: Space, lesson 13: p64 translations to describe relationships between 2-dimensional shapes, 3-dimensional objects (including transformation and symmetry) Draw enlargements and reductions of 2-dimensional shapes Ch 5: Conservation, lesson 15: p117 using grid paper to compare their size and shape Read, tell and write analogue, digital and 24-hour time to the Ch 1: Community, lesson 6: p6 nearest minute and second Solve problems involving calculation and conversion between Ch 4: Sports and games, lesson 10: p86 appropriate time units including time zones and differences Describe and illustrate ways of representing time in different Ch 5: Conservation, lesson 14: p115 cultures throughout history 63
Mathematics Grade 6 Milestones: TERM 3 MILESTONE LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 6 Counting forwards and backwards in decimals Ch 5: Conservation, lesson 2: p102 Recognise the place value of digits: Ch 6: Money wise, lesson 1, 2: p126, 127 whole numbers to a minimum of 8-digit numbers decimal fractions to at least 2 decimal places Recognise and use equivalent forms of the numbers listed above including: common fractions with 1-digit and 2-digit denominators decimal fractions to at least 2 decimal places Solve problems in contexts such as: 64 Ch 5: Conservation, lesson 5: p105 Ch 6: Money wise, lesson 1: p126 financial (reading and interpreting accounts, and discount) Ch 6: Money wise, lesson 4: p129 measurements in Natural Science and Technology contexts Ch 6: Money wise, lesson 5: p130 Solve problems involving: Ch 6: Money wise, lesson 4: p129 comparing two or more quantities of the same kind (ratio) Estimate and calculate by selecting and using operations Ch 5: Conservation, lesson 2: p102 appropriate to solve problems that involve: addition and subtraction of common fractions with denominators which are multiples of each other and whole numbers with common fractions (mixed numbers) Ch 5: Conservation, lesson 3: p103 multiplication of at least whole 4-digit by 2-digit numbers Ch 5: Conservation, lesson 4: p104 division of at least 4-digit by 2-digit numbers equivalent fractions addition and subtraction of positive decimals with at least 2 decimal places multiple operations of whole numbers with or without brackets Use a range of techniques to perform written and mental calculations with whole numbers including: Ch 5: Conservation, lesson 8: p108 adding and subtracting and multiplying in columns Ch 6: Money wise, lesson 3: p128 long division Ch 6: Money wise, lesson 3: p128 building up and breaking down numbers Ch 6: Money wise, lesson 6: p131 rounding off and compensating using a calculator Recognise, describe and use: the commutative, associative and distributive properties of whole numbers (learners should be able to use the properties but not necessarily know the names) Perform mental calculations involving: addition and subtraction multiplication of whole numbers to at least 12 x 12 Write number sentences to describe a problem situation within a context Solve or complete number sentences by inspection or by trialand-improvement, checking the solution by substitution Investigate and extend numeric and geometric patterns looking for a general rule or relationships: found in natural and cultural context learner's own creation Determine through discussion and comparison, the equivalence of different descriptions of the same relationship or rule represented: verbally in flow diagrams by number sentences in tables Draw and interpret sketches of simple 3-dimensional objects from different positions (perspectives) Describe and illustrate ways of measuring in different cultures throughout history, including informal measuring systems Ch 6: Money wise, lesson 8: p134 Ch 6: Money wise, lesson 8: p134 Ch 5: Conservation, lesson 18: p120, 121 Ch 5: Conservation, lesson 19: p122 Ch 5: Conservation, lesson 9: p109 Ch 5: Conservation, lesson 10: p110 Ch 7: Africa, lesson 10: p160 Ch 5: Conservation, lesson 14: p115
Mathematics Grade 6 Milestones: TERM 4 MILESTONE 65 LESSON IN NEW DAY-BY-DAY MATHEMATICS GRADE 6 Ch 7: Africa, lesson 21: p172 Ch 8: Healthy living, lesson 7: p180 Counting forwards and backwards in decimals Recognise the place value of digits whole numbers to a minimum of 9-digit numbers decimal fractions to at least 2 decimal places Recognise and use equivalent forms of the numbers listed Ch 8: Healthy living, lesson 4: p177 above including: common fractions with 1-digit and 2 digit denominators Ch 8: Healthy living, lesson 8: p181 decimal fractions to at least 2 decimal places percentages Estimate and calculate by selecting and using operations appropriate to solve problems that involve: addition and subtraction of common fractions with denominators which are multiples of each other and whole numbers with common fractions (mixed numbers) Ch 7: Africa, lesson 2: p152 Ch 7: Africa, lesson 18: p169 multiplication of at least whole 4-digit by 3-digit numbers Ch 8: Healthy living, lesson 5: p178 division of at least 4-digit by 1-digit numbers finding fractions of whole numbers addition and subtraction of positive decimals with at least 2 decimal places finding percentages of whole numbers multiple operations of whole numbers with or without brackets Use a range of techniques to perform written and mental calculations with whole numbers including: Ch 7: Africa, lesson 5: p155 adding, subtracting and multiplying in columns Ch 8: Healthy living, lesson 22: p197 long division building up and breaking down numbers rounding off and compensating using a calculator Perform mental calculations involving: addition and subtraction multiplication of whole numbers to at least 12 x 12 Solve problems involving: comparing two or more quantities of different kinds (rate, e.g. wages/day) Write number sentences to describe a problem situation within a context Use a range of strategies to check solutions and judge the reasonableness of solutions Recognise, describe and use: divisibility rule for 2, 5, 10, 100 and 1000 Investigate and extend numeric and geometric patterns looking for a general rule or relationships learner's own creation represented in tables Describe observed relationships or rules in own words Recognise and describe natural and cultural 2-dimensional shapes, 3-dimensional objects and patterns in terms of geometric properties Ch 8: Healthy living, lesson 9: p182 Ch 8: Healthy living, lesson 2: p175 Ch 7: Africa, lesson 4: p154 Ch 7: Africa, lesson 4: p154 Ch 6: Money wise, lesson 7: p132 Ch 7: Africa, lesson 11: p161 Ch 7: Africa, lesson 7: p157 Ch 7: Africa, lesson 1: p151 Locate positions on a coded grid, describe how to move Ch 5: Conservation, lesson 12: p112 between positions on a grid, and recognise maps as grids Investigate and approximate: Ch 8: Healthy living, lesson 16: p189 perimeter using ruler or measuring tapes Ch 8: Healthy living, lesson 18: p192 area of polygons (using square grids) in order to develop rules for calculating areas of squares and rectangles volume/capacity of objects (by packing or filling them) in order to develop rules for calculating volumes of rectangular prisms
RUBRIC 1: Constructions Mathematics Grade 4 LB p54 Activity: Name: Date: Grade: 4 LO 3: Describe and represent characteristics and relationships between 2-D shapes and 3-D objects in a variety of orientations and positions The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions answer questions based on observation of pictures draw triangles on a card make a template cut out shapes accurately make a pattern with tessellations draw tessellation pattern neatly Overall rating: 66
RUBRIC 2: Measurement Mathematics Grade 4 LB p79 Activity: Name: Date: Grade: 4 LO 4: Describes and illustrates ways of measuring and representing time in different cultures throughout history The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions read the time off clock faces showing Roman numerals draw clock faces using Roman numerals from word clues draw clock faces using Roman numerals from 24-hour format work neatly Overall rating: 67
RUBRIC 3: Constructions Mathematics Grade 5 LB p42 Activity: Name: Date: Grade: 5 LO 3: Makes 2-D shapes and 3-D objects and patterns from geometric objects and shapes The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions trace a net cut out shapes accurately construct a box from given net design an original net make a net from original design decorate creatively and neatly Overall rating: 68
RUBRIC 4: Exercises Mathematics Grade 5 LB p54 Activity: Name: Date: Grade: 5 LO 1: Recognises, describes and uses the equivalence of fractions The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions recognise fractions from diagrams use <, > and = to make statements about fractions true draw diagrams to illustrate fractions work neatly Overall rating: 69
RUBRIC 5: Measurement Mathematics Grade 5 LB p115 Activity: Name: Date: Grade: 5 LO 4: Describes and illustrates ways of measuring and representing time in different cultures throughout history The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions answer questions based on observation of pictures write sentences which explain how an object is used to tell time problem solve based on pictures work with a partner make a shadow clock write sentences explaining reason for measuring time work neatly Overall rating: 70
RUBRIC 6: Graphic representation Mathematics Grade 6 LB p62 Activity: Name: Date: Grade: 6 LO 3: Draws and interprets sketches of simple 3-D objects from different positions The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions name 3-D forms from a diagram identify faces of a 3-D object work in a table analyse different 3-D objects to describe form make a poster showing differences and similarities between two 3-D objects work in a group Overall rating: 71
RUBRIC 7: Graphic representations Mathematics Grade 6 LB pp92, 93 Activity: Name: Date: Grade: 6 LO 5: Critically reads and interprets data presented in a variety of ways The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions answer questions by interpreting a pictogram read a key accurately answer questions by interpreting a bar graph draw a table based on a bar graph communicate opinion with to a partner Overall rating: 72
RUBRIC 8: Exercises Mathematics Grade 6 LB p96 Activity: Name: Date: Grade: 6 LO 1: Recognises the place value of digits in decimal fractions The learner was able to: Not achieved 1 Partial achievement 2 Satisfactory achievement 3 Outstanding achievement 4 follow instructions write decimal fractions from abacus diagrams write common fractions from abacus diagrams represent decimal fractions on an abacus diagram fill in decimal fractions on a number line work neatly Overall rating: 73