Intermediate Phase New Day-by-Day Planning Pack MATHEMATICS

Transcription

1 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 Grade 5 57 Grade 6 62 Rubrics: Rubric Rubric 2 67 Rubric 3 68 Rubric 4 69 Rubric 5 70 Rubric 6 71 Rubric 7 72 Rubric 8 73 M

2 Work schedule for Mathematics Grade 4 Term Week LOs & ASs Unit Assessment Resources 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 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 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 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra LO 3: Space and shape LO 4: Measurement LO 5: Data handling 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

4 Work schedule for Mathematics Grade 5 Term Week LOs & ASs Unit Assessment Resources 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 LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 3: Space & shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 1: Numbers, operations and relationships LO 4: Measurement LO 5: Data handling 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

5 Work schedule for Mathematics Grade 6 Term Week LOs & ASs Unit Assessment Resources 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 LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 4: Measurement LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 4: Measurement LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 5: Data handling LO 1: Numbers, operations and relationships LO 2: Patterns, functions & algebra LO 3: Space & shape LO 5: Data handling 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

6 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

7 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 ; 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

8 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

9 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 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

10 LESSON PLANS Grade 4 Unit 5: Friends Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 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

11 LESSON PLANS Grade 4 Unit 6: Timelines Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

12 LESSON PLANS Grade 4 Unit 7: My favourite things Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

13 LESSON PLANS Grade 4 Unit 8: Maths long ago Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 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

14 LESSON PLANS Grade 4 Unit 9: Creepy crawlies Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 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

15 LESSON PLANS Grade 4 Unit 10: Machines Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

16 LESSON PLANS Grade 4 Unit 11: Water wise Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

17 LESSON PLANS Grade 4 Unit 12: Money wise 2 Learning Area/s: Maths Grade: 4 Duration: 10 hours Weeks: 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

18 LESSON PLANS Grade 4 Unit 13: Caring about people Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

19 LESSON PLANS Grade 4 Unit 14: Building blocks Learning Area/s: Maths Grade: 4 Duration: 15 hours Weeks: 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

20 LESSON PLANS Grade 4 Unit 15 : Transport Learning Area/s: Maths Grade: 4 Duration: 20 hours Weeks: 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

21 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