Senior Phase Grade 9 Today Planning Pack MATHEMATICS

Transcription

1 M Senior Phase Grade 9 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 9 2 Lesson Plans: Grade 9 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers 19 Rubric 2: Applications of numbers to problems..20 Rubric 3: Calculations types involving numbers.21 Rubric 4: Properties of numbers...22 LO2 Rubric 1: Patterns 23 LO2 Rubric 2: Equations.24 LO2 Rubric 3: Graphs..25 LO2 Rubric 4: Equivalent representations 26 LO2 Rubric 5: Algebraic conventions (Grade 8 & 9 only)..27 LO3 Rubric 1: Shapes and objects 28 LO3 Rubric 2: Transformations, congruence and similarity..29 LO3 Rubric 3: Position 30 LO3 Rubric 4: Straight line geometry (Grades 8 & 9 only) LO4 Rubric 1: Measurement..32 LO5 Rubric 1: Collecting and organising data.33 LO5 Rubric 2: Representing and interpreting data.34 LO5 Rubric 3: Probability 35

2 Work schedule for Maths Today Grade 9 Term Week LOs & ASs Chapter Assessment Resources : Numbers, operations and relationships Chapter 1: Real numbers Formal and informal Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for LO2: Patterns, functions and algebra LO2: Patterns, functions and algebra LO2: Patterns, functions and algebra LO2: Patterns, functions and algebra LO2: Patterns, functions and algebra LO3: Space and shape LO3: Space and shape LO3: Space and shape Chapter 2: Number patterns Chapter 3: Graphs Chapter 4: Products and factors Chapter 5: Algebraic fractions Chapter 6: Equations Chapter 7: Transformations Chapter 8: Geometric figures Chapter 9: Lines, angles and triangles Formal and informal Formal and informal Formal and informal Formal and informal Formal and informal Formal and informal Formal and informal Test Formal and informal consolidation and extra challenges Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Paper with triangles Colour pencils, highlighters Access to computers for exploring patterns Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares, graph paper Measuring cylinders Marbles, golf balls Three rulers per pair of learners Coins Flat buttons of different diameters String, measuring tapes Masking tape Maths Today Grade 9 Learner's Book and Teacher's Guide Maths Today Grade 9 Learner's Book and Teacher's Guide Maths Today Grade 9 Learner's Book and Teacher's Guide Maths Today Grade 9 Learner's Book and Teacher's Guide Pencil and ruler Tracing paper Scissors Pair of compasses Protractor Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Pencils, coloured pencils, crayons Felt pens, rulers White and coloured paper, thin card Tracing paper and pin Glue, scissors Compass, protractor Feathers, leaves, flowers Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Pair of compasses, protractor, ruler Set square 2

3 3 22 LO3: Space and shape LO 4: Measurement : Numbers, operations and relationships LO5: Data handling LO5: Data Handling Chapter 10: Solids Chapter 11: Measurement Chapter 12: Consumer maths Chapter 13: Statistics Chapter 14: Probability Formal and informal Formal and informal Formal and informal Formal and informal Formal and informal Test Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Grid paper, graph paper Scissors, glue, tape, rulers Pencils, erasers Cardboard Matches, toothpicks Plasticine Isometric paper Access to Internet Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Protractor Calculator Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Graph paper Calculator Sharp pencil, ruler Newspapers Examples of a variety of insurance policy contract copies, claim forms and IRP5 forms Business magazines Copies of school s budget Access to Internet Spokespeople from financial institutions Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Atlas Coloured pencils Protractor STATS SA information Internet websites Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Four coins Packet of jelly beans Two dice Note: You need to complete 3 formal tasks per term for Maths in Grade 9. This work schedule shows all the opportunities for formal 3

4 LESSON PLANS Grade 9 Chapter 1: Real numbers Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 1-3 Learning Outcome Assessment Standards Integration : Numbers, operations and relationships Describes and illustrates the historical development of number systems Recognises, uses and represents rational numbers Solves problems that involve ratio, rate and proportion Estimates and calculates by selecting and using operations Uses a range of techniques and tools Recognises, describes and uses the properties of rational numbers Natural Sciences Economic and Management Sciences LO4 Technology Social Sciences (Geog) Content / Knowledge: Describes and illustrates the historical development of number systems Recognises, uses and represents rational numbers, equivalent forms Solves ratio, rate and proportion problems Estimates, calculates, selects and uses operations, judges reasonableness of results Uses a range of techniques and tools, performs calculations Recognises, describes and uses properties of rational numbers Learning activities Teaching methods/approach Resources Lesson 1: Rational and irrational numbers LB p2 Division by 0 Lesson 2: History of rational and irrational numbers LB p3 Lesson 3: Equivalent forms of rational numbers LB p3 Recurring decimals LB p4 Lesson 4: Converting decimal fractions to common fractions LB p5 Lesson 5: Scientific notation: Write small numbers in scientific notation LB p6 Lesson 6: Calculations with numbers in scientific notation LB p7 Lesson 7: Rational approximations of irrational numbers: Ratio, rate, direct and indirect proportion LB p9 Lesson 8: Rational approximations of irrational numbers: Word problems LB p12 Lesson 9: Activity 1a: (Baseline ) Identify rational and irrational numbers TG p2 Teach and work through examples TG p3 Activity 1b: Find out about the history of numbers TG p4 Teach and work through examples TG p4 Activity 1c: Convert between common fractions and decimal fractions TG p5 Activity 2a: Write numbers in scientific and decimal notation TG p6 Activity 2b: Calculate with numbers in scientific notation TG p6 Teach and work through examples TG p7 Activity 3a: Write rational approximations of irrational numbers TG p8 Activity 3b: Solve problems involving ratio, rate and proportion TG p9 Assessment TG p10 Assessment LB p14 Assessment: Type of : Formal for Lessons 4, 6 and 9 Informal : all other activities can be used for informal Form of : Rubric 3 for Lesson 4; rubric 3 for Lesson 6; memo (TG p10) for Lesson 9 Teacher reflection: Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for consolidation and extra challenges Reinforcement: Revise, drill and consolidate with extra examples of new concepts introduced Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Solving problems at higher cognitive levels 4

5 LESSON PLANS Grade 9 Chapter 2: Number patterns Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 3-5 Learning Outcome Assessment Standards Integration LO2: Numbers, operations and relationships Investigates, in different ways, a variety of numeric and geometric patterns and relationships Represents and uses relationships between variables Constructs mathematical models Solves equations by inspection, trial-and-improvement or algebraic processes Determines, analyses and interprets Natural Sciences Technology LO2 Economic and Management Sciences LO4 Social Sciences(Geog) Content / Knowledge: Investigates numeric and geometric patterns, investigates relationships, represents relationships, generalizes relationships Explains and justifies rules Represents and uses relationships between variables, determines input and/or output values, represents and uses verbal descriptions, flow diagrams, tables, formulae and equations Constructs mathematical models Solves equations by inspection, trial-and-improvement or algebraic processes, checks the solution by substitution Determines, analyses and interprets the equivalence of different descriptions, relationships, rules in, flow diagrams, tables, equations or expressions, by graphs on the Cartesian plane Learning activities Teaching methods/approach Resources Lesson 1: Describing a number pattern LB p17 Lesson 2: Fractals LB p19 Lesson 3: Number patterns around us LB p25 Lesson 4: Assessment LB p29 Activity 1a: (Baseline ) Revising number patterns TG p13 Activity 1b: Investigate patterns using the Sierpinski Carpet TG p14 Activity 2: Calculating income tax TG p18 Assessment TG p20 Assessment: Type of : Formal for Lessons 3 and 4 Informal : all other activities can be used for informal Form of : Rubric TG p17 for Lesson 3; memo (TG p20) for Lesson 4 Teacher reflection: Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Paper with triangles Coloured pencils Highlighters Access to computers for exploring patterns Reinforcement: Extra examples of new concepts introduced Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Exploring websites for interesting patterns 5

6 LESSON PLANS Grade 9 Chapter 3: Graphs Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 6-8 Learning Outcome Assessment Standards Integration LO2: Numbers, operations and relationships LO3 Space and Shape Constructs mathematical models Draws graphs on the Cartesian plane for given equations Determines, analyses and interprets Uses various representational systems to describe position and movement between positions Natural Sciences LO2 Technology Economic and Management Sciences Life Orientation Content / Knowledge: Constructs mathematical models, describes and provides solutions to problems Draws graphs on the Cartesian plane, determines equations or formulae, uses tables Determines, analyses and interprets the equivalence of different descriptions / relationships / rules Uses representational systems, describes position and movement between positions Learning activities Teaching methods/approach Resources Lesson 1: References can be used to describe position LB p34 Lesson 2: The Cartesian Plane LB p37 Lesson 3: Draw graphs by plotting points LB p39 Lesson 4: Explore straight-line graphs LB p44 Lesson 5: The gradient of a straight-line graph LB p48 Lesson 6: Explore the general properties of straight-line graphs in the context of mathematics LB p51 Lesson 7: Use the properties of straight-line graphs to draw graphs LB p53 Lesson 8: Use the x- and y- intercepts to draw straight-line graphs LB p55 Lesson 9: Assessment TG p44 Assessment LB p57 Assessment: Type of : Formal for Lessons 7 and 9 Informal : all other activities can be used for informal Form of : Rubric 3 LO2 for Lesson 7 Memo (TG p44) for Lesson 9 Teacher reflection: Activity 1a: (Baseline ) Find your position from a street map TG p24 Activity 1b: Plot points on a Cartesian plane TG p25 Activity 2a: Analyse a formula TG p26 Activity 2b: Relate side lengths to area and perimeter TG p27 Activity 3a: Explore the properties of straight-line graphs TG p32 Activity 3b: Reflecting on properties of straight-line graphs TG p34 Activity 4: Determine the gradient of straight-line graphs when the graph is given TG p36 Activity 5: Draw straight-line graphs for given equations TG p37 Activity 6: Draw straight-line graphs by using the y-intercept gradient method TG p39 Activity 7: Draw sketch graphs TG p41 Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Graph paper Measuring cylinders Marbles Golf balls Three rulers per pair of learners Coins Flat buttons of different diameters String Measuring tapes Masking tape Reinforcement: Easier and extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complex graphs 6

7 LESSON PLANS Grade 9 Chapter 4: Products and factors Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 9-10 Learning Outcome Assessment Standards Integration LO2: Numbers, operations and relationships Uses the laws of exponents to simplify expressions and solve equations Uses the distributive law and manipulative skills developed in Grade 8 Natural Sciences LO2 Technology Economic and Management Sciences Life Orientation Content / Knowledge: Uses the laws of exponents, simplifies expressions, solves equations Uses the distributive law Uses manipulative skills Finds product of two binomials Factorises algebraic expressions Learning activities Teaching methods/approach Resources Lesson 1: Explore the properties and laws of exponents: The first law of exponents LB p62 Lesson 2: The second law of exponents LB p64 Lesson 3: The third law of exponents LB p65 Lesson 4: The fourth law of exponents LB p66 Lesson 5: The product of a monomial and a polynomial LB p67 Lesson 6: The product of two binomials with unlike terms LB p69 Lesson 7: The product of two binomials with like terms LB p70 Lesson 8: The square of a binomial LB p71 Lesson 9: Products of the type (a + b)(a - b) LB p72 Lesson 10: Converting polynomials to product expressions LB p73 Lesson 11: The difference of two squares LB p75 Lesson 12: Assessment LB p76 Assessment: Type of : Formal for Lessons 5, 11 and 12 Informal : all other activities can be used for informal Form of : Rubric 5 LO2 for Lesson 5, Rubric 2 LO3 for Lesson 11, Memo TG p56 for Lesson 12 Teacher reflection: Activity 1: (Baseline ) Use the first law of exponents to simplify expressions TG p47 Activity 2: Investigate the quotient of numbers written in index form TG p48 Activity 3: Use the third law of exponents to simplify expressions TG p48 Activity 4: Use the fourth law of exponents to simplify expressions TG p49 Activity 5: Practice writing the expansions of algebraic expressions TG p49 Activity 6: Find the product of two binomials with unlike terms TG p50 Activity 7: Find the product of two binomials with like terms TG p51 Activity 8: Investigate the squares of binomials TG p52 Activity 9: Investigate the products of the type (a + b)(a - b) TG p53 Activity 10: Find the factors of a polynomial TG p54 Activity 11: Factorise algebraic expressions (Common factors) TG p54 Activity 12: Factorise the difference of two squares TG p55 Assessment TG p56 Maths Today Grade 9 Learner's Book and Teacher's Guide Reinforcement: Easier examples of new concepts Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working with complicated polynomials. 7

8 LESSON PLANS Grade 9 Chapter 5: Algebraic fractions Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration : Numbers, operations and relationships LO2: Patterns, functions and algebra Recognises, uses and represents rational numbers Recognises, describes and uses the properties of rational numbers Uses a range of techniques and tools (including technology) to perform calculations efficiently and to the required degree of accuracy Uses factorisation to simplify algebraic expressions and solve equations Natural Sciences LO2 Technology Life Orientation Economic and Management Sciences Content / Knowledge: Recognises, uses and represents rational numbers, moves flexibly between equivalent forms Recognises, describes and uses the properties of rational number Uses techniques, tools and technology for calculations Uses laws and meanings of exponents Uses factorization, simplifies algebraic expressions, solves equations Learning activities Teaching methods/approach Resources Lesson 1: Simplification of fractions LB p78 Lesson 2: The meaning of a 0 LB p80 Lesson 3: Negative exponents LB p81 Lesson 4: Simplify algebraic fractions LB p82 Lesson 5: Simplify algebraic expressions by factorisation LB p83 Lesson 6: Multiplication and division of fractions LB p84 Lesson 7: Addition and subtraction of fractions LB p85 Lesson 12: Assessment LB p87 Assessment: Type of : Formal for Lessons 4 and 12 Informal : all other activities can be used for informal Form of : Rubric 5 LO2 for Lesson 4 Memo (TG p64) for Lesson 12 Teacher reflection: Activity 1: (Baseline ) To simplify fractions TG p59 Activity 2: Simplify fractions that include numbers written in exponent notation TG p59 Activity 3a: Explore the meaning of zero as an exponent TG p60 Activity 3b: Explore the meaning of negative exponents TG p61 Activity 4: Simplify algebraic fractions TG p61 Activity 5: Simplify algebraic expressions by factorisation TG p62 Activity 6: Multiplication and division of fractions TG p63 Activity 7: Practice addition and subtracting of algebraic fractions TG p63 Assessment TG p64 Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Reinforcement: Easier and lots of extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complicated polynomials. 8

9 LESSON PLANS Grade 9 Chapter 6: Equations Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration : Numbers, operations and relationships LO2: Patterns, functions and algebra Estimates and calculates by selecting and using operations appropriate to solving problems and judging the reasonableness of results Represents and uses relationships between variables Constructs mathematical models Solves equations Determines, analyses and interprets the equivalence Natural Sciences Technology Economic and Management Sciences LO4 Content / Knowledge: Estimates, calculates, selects and uses operations, solves problems, judges results Represents and uses relationships, determines input and/or output values, uses verbal descriptions, flow diagrams, tables, formulae, equations and expressions Constructs mathematical models Solves equations by inspection, trial-and-improvement or algebraic processes, checks solution by substitution Determines, analyses and interprets the equivalence of different descriptions in order to select the most useful representation for a given situation Learning activities Teaching methods/approach Resources Lesson 1: Inspection and substitution LB p90 Lesson 2: Reverse the calculation procedure to determine the output value LB p92 Lesson 3: The balance algorithm : Solve equations with the unknown (variable) on both sides of the equation LB p94 Lesson 4: The balance algorithm: Solve more complicated equations with variables on both sides of the equation LB p96 Lesson 5: Equations with fractions LB p97 Lesson 6: Equations involving more complicated fractions LB p98 Lesson 7: The difference between simplifying algebraic fractions and solving equations with fractions LB p100 Lesson 8: Construct equations for number problems LB p101 Lesson 9: Use equations as mathematical models to solve problems LB p102 Lesson 10: Activity 1: (Baseline ) Solve equations by inspection TG p67 Activity 2: Solve problems by reversing the calculation procedure TG p68 Activity 3a: Solving equations using the balance algorithm LB p70 Activity 3b: More about the balance algorithm LB p70 Activity 4: Solve simple equations involving fractions TG p71 Activity 5: Solve more complicated equations that involve fractions TG p72 Activity 6: Interpret algebraic expressions and equations TG p73 Activity 7: Translate word problems into algebraic language TG p74 Activity 8: Use equations as mathematical models to solve problems TG p75 Assessment TG p76 Assessment LB p105 Assessment: Type of : Formal for Lessons 5 and 10 Informal all other activities can be used for informal Form of : Rubric 5 LO2 for Lesson 5 Memo (TG p76) for Lesson 10 Teacher reflection: Maths Today Grade 9 Learner's Book and Teacher's Guide Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Engaging in complicated problem solving 9

10 LESSON PLANS Grade 9 Chapter 7: Transformations Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration LO3: Space and shape Describes the interrelationships of the properties of geometric figures and solids with justification Uses geometry of straight lines and triangles to solve problems Uses transformations, congruence and similarity Uses various representational systems Technology Arts and Culture Content / Knowledge: Describes interrelationships of the properties of geometric figures and solids Describes congruence, describes straight line geometry, describes transformations Uses geometry of straight lines and triangles to solve problems Uses transformations, congruence and similarity to investigate, describe and justify Uses representational systems to describe position and movement between positions Uses ordered grids Uses Cartesian plane Uses compass directions Uses angles of elevation and depression Learning activities Teaching methods/approach Resources Lesson 1: The four kinds of transformations LB p108 Lesson 2: Properties of transformations: Reflection LB p109 Lesson 3: Properties of transformations: Rotation LB p110 Lesson 4: Properties of transformations: Translation LB p111 Lesson 5: Enlargement LB p115 Properties of enlargement LB 116 Find the centre of enlargement LB p116 Calculate the scale factor LB 117 Negative scale factors LB 117 Lesson 6: Combined transformations LB p121 Lesson 7: Assessment LB p125 Assessment: Type of : Formal for Lessons 6 and 7 Informal : all other activities can be used for informal Form of : Rubric 2 LO3 for Lesson 6 Memo (TG p87) for Lesson 7 Teacher reflection: Teach reflection, rotation, translation and enlargement and work through examples TG p78 Teach and work through examples TG p78 Teach and work through examples TG p78 Teach and work through examples TG p79 Teach and work through examples TG p80 Activity 1: (Baseline ) Draw enlargements of a given figure TG p80 Activity 2: Investigate the effect of combined transformations TG p82 Assessment TG p87 Maths Today Grade 9 Learner's Book and Teacher's Guide Pencil and ruler Tracing paper Scissors Pair of compasses Protractor Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated transformations 10

11 LESSON PLANS Grade 9 Chapter 8: Geometric figures Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO3: Space and shape Recognises, visualises and names geometric figures and solids In contexts describes the interrelationships of the properties Uses geometry of straight lines and triangles to solve problems Draws and/or constructs geometric figures and makes models of solids Uses transformations, congruence and similarity Recognises and describes geometric solids Technology Arts and Culture Natural Sciences LO3 Content / Knowledge: Recognises, visualises and names regular and irregular polygons and polyhedra, spheres, cylinders Describes properties of geometric figures and solids Describes congruence, straight line geometry, transformations Uses geometry of straight lines and triangles Draws and/or constructs geometric figures Makes models of solids, investigates and compares properties and models situations Uses transformations, congruence and similarity Investigates, describes and justifies properties of geometric figures and solids Tests for similarity and congruence of triangles Recognises and describes geometric solids Simple perspective drawing Learning activities Teaching methods/approach Resources Lesson 1: Patterns relating to our culture LB p130 Lesson 2: Patterns used in designs LB 131 In the animal world LB p132 In fish and birds LB p133 Lesson 3: Ideal designs LB p134 Fibonacci sequence LB p136 Lesson 4: More about polygons LB p137 Lesson 5: Angles of regular polygons LB p138 Lesson 6: Constructing regular polygons LB p141 Lesson 7: Use transformations to investigate properties of polygons: Line symmetry LB p144 Rotational symmetry LB p144 Lesson 8: Sides and angles of polygons LB p146 Lesson 9: Congruency and similarity LB p150 Lesson 10: Assessment LB p157 Activity 1a: (Baseline ) Explore patterns used by different cultures TG p92 Activity 1b: Design your own pattern TG p92 Activity 1c: Construct your own golden rectangle TG p93 Teach and work through the example TG p94 Teach and work through examples TG p94 Activity 1d: Determine the sum of the interior angles of a regular pentagon TG p95 Activity 1e: Find the sum of the exterior angles of a polygon TG p97 Activity 1f: Constructing regular polygons TG p99 Activity 2a: Investigate the symmetrical properties of polygons TG p102 Activity 2b: Investigate the properties of quadrilaterals TG p104 Activity 2c: Use the properties of quadrilaterals to identify them TG p105 Activity 3a: Find out if the given geometric figures are congruent TG p108 Activity 3b: Find out if the given geometric figures are similar TG p108 Assessment TG p112 Maths Today Grade 9 Learner's Book and Teacher's Guide Pencils Coloured pencils Crayons Felt pens Rulers White and coloured paper or thin card Tracing paper and pin Glue Scissors Compass Protractor Feathers Leaves Flowers 11

12 Assessment: Type of : Formal for Lessons 7 and 10 Informal : all other activities can be used for informal Form of : Rubric 1 LO3 for Lesson 7 Memo (TG p112) for Lesson 10 Teacher reflection: Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated polygons 12

13 LESSON PLANS Grade 9 Chapter 9: Lines, angles and triangles Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO3: Space and shape Recognises, visualises and names geometric figures and solids Uses geometry of straight lines and triangles to solve problems Uses transformations, congruence and similarity to investigate, describe and justify relationships Technology Arts and Culture Content / Knowledge: Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders Uses geometry of straight lines and triangles Solves problems, justifies relationships Uses transformations, congruence and similarity Investigates, describes and justifies properties of geometric figures and solids Tests for similarity and congruence of triangles Learning activities Teaching methods/approach Resources Lesson 1: Calculate the sizes of angles LB p159 Lesson 2: Different types of triangles LB p161 Lesson 3: Parallel lines LB p165 Lesson 4: Similar triangles LB p170 Lesson 5: Calculate missing sides LB p176 Lesson 6: Congruent triangles Use transformations to confirm congruency LB p182 Use congruency to calculate missing values LB p183 Lesson 7: Angles of elevation and depression LB p186 Teach and work through examples TG p115 Lesson 8: Assessment TG p131 Assessment LB p188 Assessment: Type of : Formal for Lessons 4 and 8 Informal : all other activities can be used for informal Form of : Rubric 1 LO3 for Lesson 4 Memo (TG p131) for Lesson 8 Teacher reflection: Activity 1: (Baseline ) Find angle relationships for triangles and lines TG p116 Activity 2: Work with alternate, corresponding and cointerior angles TG p118 Activity 3a: Explore the relation between the two conditions for similarity TG p121 Activity 3b: Identify similar triangles TG p122 Activity 4a: Calculate missing sides and angles TG p123 Activity 4b: Calculate missing sides TG p124 Teach and work through examples TG p126 Teach and work through example TG p Maths Today Grade 9 Learner's Book and Teacher's Guide Pair of compasses Protractor Ruler Set square Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complicated examples 13

14 LESSON PLANS Grade 9 Chapter 10: Solids Learning Areas: Maths Grade: 9 Duration: 10 hours Week: 22 Learning Outcome Assessment Standards Integration LO3: Space and shape Recognises, visualises and names geometric figures and solids In context describes the interrelationships of the properties Draws and/or constructs geometric figures and makes models of solids Uses transformations, congruence and similarity Recognises and describes geometric solids Technology Arts and Culture Natural Sciences Content / Knowledge: Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders Describes the interrelationships of the properties of geometric figures and solids, justification with congruence and straight line geometry, transformations Draws and/or constructs geometric figures and makes models of solids, compares their properties, models situations Uses transformations, congruence and similarity to investigate, describe and justify Recognises and describes geometric solids, simple perspective drawing Learning activities Teaching methods/approach Resources Lesson 1: Planes LB p192 Lesson 2: Symmetrical properties of polyhedrons LB p200 Lesson 3: Surface area and volume of polyhedrons LB p202 Lesson 4: Cylinders LB p204 Containers shaped like polyhedrons LB p208 Lesson 5: Isometric shapes: Isometric paper LB p209 Lesson 6: Views of shapes LB p212 Lesson 7: Nets LB p213 Lesson 6: Communicate using drawings LB 216 Projections LB 216 Orthographic drawing LB p216 Lesson 7: Isometric drawing LB p218 Lesson 8: Diagonals of polyhedrons LB p219 Lesson 10: Activity 1a: (Baseline ) Make models of solids TG p135 Activity 1b: Investigate the properties of solids TG 135 Activity 1c: Explore the symmetrical properties of polyhedrons TG p137 Activity 1d: Explore the rotational symmetry of polyhedrons TG p138 Activity 2: Calculate the surface area and the volume of a triangular prism TG p140 Activity 3: Calculate the surface area and the volume of a cylinder TG p141 Teach and work through examples TG p141 Activity 4: Isometric shapes TG p144 Teach and work through examples TG p145 Activity 5a: Explore nets of containers TG p147 Activity 5b: Design your own containers TG p147 Teach and work through examples TG p149 Activity 6a: Do calculations from drawings TG p150 Activity 6b: Exploring projections of 3-D shapes TG p151 Teach and work through examples TG p153 Assessment TG p153 Assessment LB p221 Assessment: Type of : Formal for Lessons 3, 7 and 10 Informal : all other activities can be used for informal Form of : Rubric 2 LO3 for Lesson 3 Rubric 1 LO3 for Lesson 7 Memo (TG p153) for Lesson 10 Teacher reflection: Maths Today Grade 9 Learner's Book and Teacher's Guide Grid paper Graph paper Scissors Glue Tape Rulers Pencils Erasers Cardboard Matches Toothpicks Plasticine Isometric paper Access to Internet Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated polyhedrons, isometric drawings, floor plans of buildings 14

15 LESSON PLANS Grade 9 Chapter 11: Measurement Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration LO4: Measurement Solves ratio and rate problems involving time, distance and speed. Solves problems involving known geometric figures and solids Describes and illustrates the development of measuring instruments Uses the Theorem of Pythagoras to solve problems Technology Social Sciences(Geog) LO3 Life Orientation, 4 Economic and Management Sciences LO4 Content / Knowledge: Solves ratio and rate problems Solves time, distance and speed problems Solves problems involving known geometric figures and solids Measures precisely, selects measuring instruments Estimates and calculates with precision, selects and uses appropriate formulae and measurements Describes and illustrates the development of measuring instruments Uses the Theorem of Pythagoras to solve problems Learning activities Teaching methods/approach Resources Lesson 1: Measuring instruments and measuring units LB p223 Length and perimeter LB p224 Lesson 2: Theorem of Pythagoras LB p225 Lesson 3: Area LB p228 Lesson 4: Volume and capacity LB p233 Lesson 5: Ratio and rate problems LB p236 Lesson 6: Convert between imperial and metric units LB p238 Lesson 7: Watering the garden LB p239 How many sprinklers? LB p240 Lesson 8: Measurement in sport LB p241 Anaerobic fitness LB p242 Speed test LB p242 Muscle endurance LB p242 Flexibility test LB p242 Lesson 9: Problems involving time, distance and speed LB p243 Lesson 10: Assessment LB p247 Assessment: Type of : Formal for Lessons 1, 4 and 10 Informal : all other activities can be used for informal Form of : Rubric 1 LO4 for Lesson 1 Rubric 1LO4 for Lesson 4 Memo (TG p167) for Lesson 10 Teacher reflection: Activity 1a: (Baseline ) Measure and calculate with length TG p157 Activity 1b: Apply the Theorem of Pythagoras to calculate missing lengths TG p158 Teach and work through examples TG p159 Activity 2: Construct polygons with given areas TG p160 Activity 3: Calculate the volume of air in a building TG p162 Activity 4a: Calculate the number of calories in a diet TG p163 Activity 4b: Convert between imperial and metric units TG p163 Activity 4c: Calculate the flow rate of a tap TG p164 Activity 4d: Calculate the number of sprinklers in a water line TG p165 Activity 4e: Test your fitness level TG p165 Teach and work through examples TG p166 Activity 4f: Calculations involving time, distance and speed TG p166 Assessment TG p167 Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Reinforcement: Easier and extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations 15

16 LESSON PLANS Grade 9 Chapter 12: Consumer Maths Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration : Numbers, operations and relationships LO5: Data handling Solves problems in contexts Draws a variety of graphs by hand/technology to display and interpret data Economic and Management Sciences LO3 Life Orientation LO2, 3 Content / Knowledge: Solves problems in: profit and loss; budgets; accounts; loans; simple and compound interest, hire purchase; exchange rates; commission; rentals and banking contexts Draws a pie chart by hand / technology Displays and interprets data Learning activities Teaching methods/approach Resources Lesson 1: Lending and borrowing money: Simple interest LB p249 Lesson 2: Lending and borrowing money: Compound interest LB p249 Lesson 3: Compound interest LB p253 Using the formula LB p254 Lesson 4: Budgeting LB p255 Government budgets LB p256 Lesson 5: Budgeting LB p255 Lesson 6: Bank charges LB p259 Inflation LB p261 Lesson 7: Taxation LB p261 Lesson 8: More mathematics in everyday living LB p264 Lesson 9: Assessment LB p266 Revising concepts from Grade 8 Activity 1: (Baseline ) Investigate compound interest TG p169 Activity 2: Borrowing large amounts of money TG p170 Activity 3: Find a formula to calculate compound interest TG p171 Activity 4: Thinking about a budget TG p174 Activity 5a: Work with government budgets TG p174 Activity 5b: Different methods of buying TG p175 Teach and work through examples TG p175 Teach and work through examples TG p176 Teach and work through examples TG p177 Assessment TG p178 Assessment: Type of : Formal for Lessons 4 and 9 Informal : all other activities can be used for informal Form of : Rubric 2 LO5 for Lesson 4 Memo (TG p178) for Lesson 9 Teacher reflection: Maths Today Grade 9 Learner's Book and Teacher's Guide Graph paper Calculator Sharp pencil Ruler Calculators Newspapers Examples of a variety of insurance policy contract copies Example of claim forms IRP 5 forms Business magazines Copies of school s budget Access to Internet Spokespeople from financial institutions Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations 16

17 LESSON PLANS Grade 9 Chapter 13: Statistics Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO5: Data Handling Organises numerical data in different ways in order to summarise Draws a variety of graphs by hand/technology to display and interpret data Critically reads and interprets data with awareness for sources of error, and manipulation to draw conclusions and make predictions Technology, 3 Natural Sciences Economic and Management Sciences LO4 Social Sciences (Geog) LO3 Life Orientation, 2 Content / Knowledge: Organises numerical data in different ways, in order to summarise, determine measures of central tendency / dispersion Draws a variety of graphs by hand / technology Draws bar graphs and double bar graphs, histograms with given and own intervals, pie charts, line and broken line graphs, scatter plots Critically reads and interprets data Learning activities Teaching methods/approach Resources Lesson 1: Measures of central tendency LB p268 Lesson 2: Measures of dispersion LB p271 Lesson 3: Statistical graphs: Bar graphs, double bar graphs and histograms LB p272 Lesson 4: Statistical graphs: Pie charts LB p275 Lesson 5: Statistical graphs: Line and broken-line LB p276 Lesson 6: Scatter plots LB p279 Activity 1: (Baseline ) Calculate the mean, median and mode of data TG p181 Activity 2: Calculate the range and interquartile range TG p182 Activity 3: Interpret data displayed in bar graphs TG p183 Activity 4: Interpret data displayed in a pie chart TG p186 Activity 5: Interpret data displayed in broken-line graphs TG p187 Activity 6: Interpret data displayed in scatter plots TG p190 Maths Today Grade 9 Learner's Book and Teacher's Guide Atlas Coloured pencils Protractor STATS SA information Internet websites Lesson 7: Misleading statistics Activity 7: Critically read and interpret data TG p191 LB p280 Lesson 8: Assessment TG p192 Assessment LB p284 Assessment: Reinforcement: Type of : Easier examples of new concepts introduced Formal for Lesson 3, 7 and 8 Use of computer software for consolidation Informal : all other activities can be used for informal Form of : Rubric 2 LO5 for Lesson 3 Rubric 3 LO 5 for Lesson 7 Memo (TG p192) for Lesson 8 Teacher reflection: Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations 17

18 LESSON PLANS Grade 9 Chapter 14: Probability Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration LO5: Data handling Considers situations with equally probable outcomes Economic and Management Sciences LO4 Technology, 3 Natural Sciences Life Orientation, 2 Social Sciences (Geog) LO3 Content / Knowledge: Considers probable outcomes, determines probabilities Determines outcomes of events, predicts relative frequency in simple experiments Discusses differences between the probability of outcomes and their relative frequency Learning activities Teaching methods/approach Resources Lesson 1: Relative frequency LB p285 Lesson 2: Probability of an event LB p287 Lesson 3: Table to calculate probability LB p289 Activity 1: (Baseline ) Toss coins to determine relative frequencies TG p195 Activity 2: Count sweets to calculate the probability for outcomes of events TG p196 Activity 3: Use tables to calculate probability TG p197 Lesson 4: Tree diagrams Activity 4: Using tree diagrams to calculate probability LB p290 TG p198 Lesson 5: Assessment TG p192 Assessment LB p292 Assessment: Type of : Formal for Lessons 2 and 5 Informal : all other activities can be used for informal Form of : Rubric 3 LO5 for Lesson 2 Memo (TG p192) for Lesson 5 Piece of paper Colour crayons Koki pens Access to the Internet or library Mathematics today Grade 9 Learner's Book and Teacher's Guide Four coins Packet of jelly beans Two dice Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations Teacher reflection: 18

19 RUBRIC 1: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Recognising, classifying and representing numbers Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently recognise and represent, describe and compare and convert between equivalent forms of numbers in more than one way to a very high level, exceeding expected Can recognise and represent, describe and compare and convert between equivalent forms of numbers meeting all the and working on a good level Can recognise and represent, describe and compare and convert between equivalent forms of numbers meeting most of the Can fairly recognise, represent and compare numbers meeting an adequate portion of Can recognise, represent and compare numbers with low levels of competency Struggles to recognise and/or represent numbers Cannot recognise and/or represent numbers, not met 19

20 RUBRIC 2: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Application of numbers to problems Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently solve problems involving numbers and is correct almost all of the time, exceeding expected Solves problems involving numbers and is correct most of the time meeting all the and working on a good level Solves problems involving numbers and is correct most of the time meeting most of the A fair achievement meeting an adequate portion of the in solving problems involving numbers and is sometimes correct A moderate achievement partially satisfying the solving problems involving numbers and is sometimes correct Elementary attempts to solve problems involving numbers and is seldom correct Unsatisfactory attempts to solve problems involving numbers and is seldom correct, not met 20

21 RUBRIC 3: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Calculation types involving numbers Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently estimate and calculate, perform mental calculations, and use a range of techniques as listed in the standards for this grade to perform calculations, checking solutions efficiently and with confidence, exceeding the Can estimate and calculate, perform mental calculations, and use a range of techniques as listed in the standards for this grade to perform calculations, checking solutions with confidence and meeting all the Can estimate and calculate, perform mental calculations, and use a range of techniques as listed in the standards for this grade to perform calculations, checking solutions with confidence and is correct most of the time A fair achievement meeting an adequate portion of the to estimate and calculate, perform mental calculations, and use a range of techniques for some of the standards for this grade to perform calculations, checking solutions and is sometimes correct A moderate achievement partially satisfying the to estimate and calculate, perform mental calculations, and use a range of techniques for some of the standards for this grade to perform calculations, checking solutions and is sometimes correct Elementary attempts to estimate and calculate and perform mental calculations for the standards for this grade and is seldom correct Unsatisfactory attempts to estimate and calculate and perform mental calculations for the standards for this grade and is seldom correct, not met 21

22 RUBRIC 4: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Properties of number Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can use a range of properties of numbers excellently and with confidence in order to simplify calculations, exceeding expected Can use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations, meeting all the and working on a good level Can use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations, is correct most of the time, meeting most of the Can fairly use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations Attempts to use properties of numbers to simplify calculations with moderate success and only partially satisfy the Makes no attempt to use the properties of numbers to simplify calculations with just elementary attempts Makes no attempt to use the properties of numbers to simplify calculations Requirements not met 22

23 RUBRIC 1: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Patterns Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can extend patterns excellently and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern with deliberate attempts at efficiency, exceeding expected Can extend patterns and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern with deliberate attempts at efficiency, meeting all the Can extend patterns and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern meeting most of the Can extend patterns fairly and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern, meeting an adequate portion of Can extend patterns and describe relationships within patterns in terms of consecutive terms in the pattern, partially satisfying the Can extend elementary patterns, marginally satisfying the Cannot extend patterns, does not meet 23

24 RUBRIC 2: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Equations Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Solves equations (number sentences) excellently using trial and improvement with success almost all of the time and/or describes a problem situation in a variety of ways, exceeding expected Solves equations (number sentences) on a good level using trial and improvement with success almost all of the time and/or describes a problem situation in a variety of ways, meeting all the Good achievement in solving equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways, meeting most of the Fair achievement in solving equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways, meeting an adequate portion of the Can determine unknowns in input/output contexts and/or can sometimes describe a problem situation using a number sentence, partially satisfying the Elementary attempts to determine output values for given input values Cannot solve equations (number sentences) by trialand-improvement or algebraic process 24

25 RUBRIC 3: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Graph Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Confidently constructs and interprets mathematical models that represent, describe an provide solutions to problems Can construct and interpret mathematical models that represent, describe an provide solutions to problems Can mostly construct and interpret mathematical models that represent, describe an provide solutions to problems A fair achievement in constructing and interpreting mathematical models that represent, describe an provide solutions to problems Correctly answers questions from graphs some of the time and draws graphs. A moderate achievement partially satisfying the Partly answers questions on interpreting mathematical models Unsatisfactory attempts to answer questions on mathematical models that represent, describe and provide solutions to problem situations 25

26 RUBRIC 4: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Equivalent representations Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can (for the same situation) excellently demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, exceeds expected Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, meeting all the and working on a good level Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation meeting, most of the Can fairly (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation, meeting an adequate portion of the Can (for the same situation) demonstrate the equivalence of representations given in the same form (e.g. two different verbal descriptions, only partially satisfying the Cannot (for the same situation) demonstrate the equivalence of different representations Makes no attempt (for the same situation) to demonstrate the equivalence of different representations. Requirements not met 26

27 RUBRIC 5: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Algebraic conventions (8 & 9 only) Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Uses conventions of algebra excellently and correctly and is almost always correct while exceeding expected Uses conventions of algebra good and correctly and is almost always correct, Meets all the and working on a good level Uses conventions of algebra correctly most of the time meeting most of the Fairly uses conventions of algebra correctly most of the time Often uses conventions of algebra correctly partially satisfy the Elementary attempts to use conventions of algebra and is seldom correct Makes little attempt to use conventions of algebra and is seldom correct 27

28 RUBRIC 1: MATHEMATICS Learning Outcome 3: Space and Shape: Shapes and objects Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently name, compare and classify 2-D shapes and 3-D objects given in different positions in terms of their properties beyond those specified for this grade, exceeding expected Can name, compare and classify 2-D shapes and 3-D objects given in different positions very good in terms of their properties beyond those specified for this grade meeting all the Can name, compare and classify 2-D shapes and 3-D objects given in different positions in terms of their properties, meeting most of the Can name, compare and classify 2-D shapes and 3-D objects fairly given in different positions in terms of their properties, meets an adequate portion of Can name and compare 2-D shapes and 3-D objects, given in different positions, in terms of their properties, partially satisfying the Can name some 2- D and 3-D and knows some of the properties of 2-D shapes and 3-D objects in a given position in elementary way and little satisfying the Cannot name some 2-D and 3-D shapes and some of the properties of 2-D shapes and 3- D objects in a given position, does not meet 28

29 RUBRIC 2: MATHEMATICS Learning Outcome 3: Space and Shape: Transformations, congruence and similarity Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Uses transformations, congruence axioms and similarity appropriately to justify properties of 2-D shapes excellently correct almost all of the time, exceeding expected Uses transformations, congruence axioms and similarity appropriately to justify properties of 2-D shapes correctly almost all of the time Solves equations (number sentences) using trial and improvement with success almost all of the time and/or describes a problem situation in a variety of ways Solves problems involving numbers and is correct most of the time, meeting all the and working on a good level Uses transformations, congruence axioms and similarity appropriately to justify properties of 2-D shapes correctly most of the time Solves equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways Solves problems involving numbers and is correct most of the time, meeting most of the Uses transformations, congruence axioms and similarity appropriately to justify properties of 2-D shapes correctly most of the time Solves equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways A fair achievement meeting an adequate portion of the in solving problems involving numbers and is sometimes correct Attempts to use transformations and/or congruence axioms and/or similarity to justify properties of 2-D shapes and is sometimes correct Can determine unknowns in input/output contexts and/or can sometimes describe a problem situation using a number sentence A moderate achievement partially satisfying the solving problems involving numbers and is sometimes correct Attempts to use transformations and/or congruence axioms and/or similarity to justify properties of 2-D shapes and is seldom correct Can determine output values for given input values Elementary attempts to solve problems involving numbers and is seldom correct Attempts to use transformations and/or congruence axioms and/or similarity to justify properties of 2-D shapes and is seldom correct Can determine output values for given input values Unsatisfactory attempts to solve problems involving numbers and is seldom correct, not met 29

30 RUBRIC 3: MATHEMATICS Learning Outcome 3: Space and Shape: Position Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can locate position and/or trace a path and/or describe movement between points on various grids in a variety of ways Correctly answers questions with insight about a situation from a graph of a situation and draws excellent and appropriate graphs for a given situation, exceeding the Can locate position and/or trace a path and/or describe movement between points on various grids in a variety of ways. Correctly answers questions with insight about a situation from a graph of a situation and draws very good appropriate graphs for a given situation meeting all the Can locate position and/or trace a path and/or describe movement between points on various grids Correctly answers questions about a situation from a graph of the situation most of the time and draws appropriate graphs for a given situation and with confidence and is correct most of the time Can locate position and/or trace a path and/or describe movement between points on various grids Correctly answers questions about a situation from a graph of the situation some of the time and draws graphs A fair achievement meeting an adequate portion of the Can locate position and/or trace a path on a grid Correctly answers questions about a situation from a graph of the situation some of the time and draws graphs A moderate achievement partially satisfying the Cannot locate position on a grid Struggles to answer questions about a situation from a graph.is seldom correct Cannot locate position on a grid unsatisfactory Requirements not met 30

31 RUBRIC 4: MATHEMATICS Learning Outcome 3: Space and Shape : Straight line geometry (Grades 8 & 9 only) Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Excellently uses properties of straight line and triangle geometry and is almost always correct Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, exceeding expected Uses properties of straight line and triangle geometry in good way and is almost always correct Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, meeting all the and working on a good level Uses properties of straight line and triangle geometry correctly most of the time an (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation, meeting most of the Uses properties of straight line and triangle geometry fairly and correctly most of the time. Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation Often uses properties of straight line and triangle geometry correctly Can (for the same situation) demonstrate the equivalence of representations given in the same form (e.g. two different verbal descriptions, only partially satisfy the. Attempts to use properties of straight line and triangle geometry and is seldom correct. Cannot (for the same situation) demonstrate the equivalence of different representations, just elementary attempts Makes no attempt to use properties of straight line and triangle geometry and is seldom correct Cannot (for the same situation) demonstrate the equivalence of different representations, not met 31

32 RUBRIC 1: MATHEMATICS Learning Outcome 4: Measurement: Measurement Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently measure and solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision with greater efficiency, exceeding expected Can measure and solve problems very well requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision with greater efficiency, meeting all the Can measure and solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision and is almost always correct, meeting most of the Can measure and solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision and is almost always correct, meets an adequate portion of Can measure and/or solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision and is sometimes correct, only partially satisfying the Can measure and/or solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision and is seldom correct, marginally satisfying the Cannot measure and/or solve problems requiring and involving: the selection of appropriate formulae; conversion between units; accuracy and precision and is seldom correct, does not meet 32

33 RUBRIC 1: MATHEMATICS Learning Outcome 5: Data handling: Collecting and organising data Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can pose questions and identify data sources and/or collect and organise data excellently and accurately selecting and using appropriate techniques beyond those specified for this grade, exceeding expected Can pose good questions and identify data sources and/or collect and organise data very accurately selecting good and using appropriate techniques beyond those specified for this grade, meeting all the Can pose questions and identify data sources and/or collect and organise data accurately selecting and using appropriate techniques, meeting most of the Can pose questions and identify data sources and/or collect and organise data accurately selecting and using appropriate techniques. Can pose questions and/or collect and organise data, meeting an adequate portion of Moderate attempts to pose questions and/or collect and organise data, partially satisfying the Can collect data, marginally satisfying the Cannot collect data Does not meet 33

34 RUBRIC 2: MATHEMATICS Learning Outcome 5: Data handling: Representing and interpreting data Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can draw accurate and excellent graphs giving all relevant information and/or critically answers questions from more than one perspective with justification and makes realistic predictions based on given data, exceeding expected Can draw accurate and good graphs giving all relevant information and/or critically answers questions from more than one perspective with justification and makes realistic predictions based on given data, meeting all the and working on a good level Can draw accurate graphs giving all relevant information and/or critically answers questions with justification and makes realistic predictions based on given data, meeting most of the A fair achievement to draw accurate graphs giving all relevant information and/or critically answers questions with justification and makes realistic predictions based on given data, meeting an adequate portion of the Can draw graphs giving relevant information and/or answers questions and makes predictions based on given data Can determine unknowns in input/output contexts and/or can sometimes describe a problem situation using a number sentence. A moderate achievement partially satisfying the Elementary attempts to draw graphs giving some relevant information and/or answer questions based on given data. Can determine output values for given input values Cannot draw graphs and/or answer questions based on given data. Cannot determine output values for given input values 34

35 RUBRIC 3: MATHEMATICS Learning Outcome 5: Data handling: Probability Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently list all possible outcomes for events and determine the probability of these outcomes and/or determine/predict relative frequencies of outcomes in simple experiments with recognition of the difference between the probability of outcomes and their relative frequency, exceeding the Can list all possible outcomes for events and determine the probability of these outcomes and/or determine/predict relative frequencies of outcomes in simple experiments with recognition of the difference between the probability of outcomes and their relative frequency, meeting all the Can list all possible outcomes for events and determine the probability of these outcomes and/or determine/predict relative frequencies of outcomes in simple experiments, meeting most of the Can fairly list all possible outcomes for events and determine the probability of these outcomes and/or determine/predict relative frequencies of outcomes in simple experiments, meeting an adequate portion of the Can list possible outcomes for and event and/or determine/predict relative frequency of outcomes for simple experiments. A moderate achievement partially satisfying the Makes elementary attempts to list possible outcomes for events and is seldom correct Cannot list possible outcomes for events, Requirements not met 35