today grade 9 mathematics lesson plans - pearson...

M780636110304

Senior Phase – Grade 9

Today Planning Pack

MATHEMATICS

Contents:

Work Schedule: Page

Grade 9 ……………………………………………………………… 2

Lesson Plans:

Grade 9 ……………………………………………………………… 4

Rubrics:

LO1 Rubric 1: Recognising, classifying and representing numbers………19 LO1 Rubric 2: Applications of numbers to problems………………………..20 LO1 Rubric 3: Calculations types involving numbers……………………….21 LO1 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)………………... 31 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

1 1-2 LO1:

Numbers, operations and relationships

Chapter 1: Real numbers

Formal and informal assessment

Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for consolidation and extra challenges

1 3-5 LO2: Patterns, functions and algebra

Chapter 2: Number patterns


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


Chapter 3: Graphs


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


Chapter 4: Products and factors


Maths Today Grade 9 Learner's Book and Teacher's Guide


Chapter 5: Algebraic fractions




Chapter 6: Equations



2 15-16 LO3: Space and shape

Chapter 7: Transformations


Maths Today Grade 9 Learner's Book and Teacher's Guide Pencil and ruler Tracing paper Scissors Pair of compasses Protractor

3

17-18 LO3: Space and shape

Chapter 8: Geometric figures

Formal and informal assessment Test

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

3 19-21 LO3: Space and shape

Chapter 9: Lines, angles and triangles


Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Pair of compasses, protractor, ruler Set square

3

3 22 LO3: Space

and shape

Chapter 10: Solids


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

4 23-24 LO 4: Measurement

Chapter 11: Measurement


Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Protractor Calculator

4 25-26 LO1: Numbers, operations and relationships

Chapter 12: Consumer maths


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

4 27-29 LO5: Data handling

Chapter 13: Statistics


Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Atlas Coloured pencils Protractor STATS SA information Internet websites

4 30-31 LO5: Data Handling

Chapter 14: Probability

Formal and informal assessment Test

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 assessment tasks per term for Maths in Grade 9. This work schedule shows all the opportunities for formal assessment

LESSON PLANS – Grade 9

Chapter 1: Real numbers Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 1-3 Learning Outcome Assessment Standards Integration LO1: 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 LO1 Economic and Management Sciences LO4 Technology LO1 Social Sciences (Geog) LO1

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

Activity 1a: (Baseline assessment) Identify rational and irrational numbers TG p2 Teach and work through examples TG p3

Lesson 2: History of rational and irrational numbers LB p3

Activity 1b: Find out about the history of numbers TG p4

Lesson 3: Equivalent forms of rational numbers LB p3 Recurring decimals LB p4

Teach and work through examples TG p4

Lesson 4: Converting decimal fractions to common fractions LB p5

Activity 1c: Convert between common fractions and decimal fractions TG p5

Lesson 5: Scientific notation: Write small numbers in scientific notation LB p6

Activity 2a: Write numbers in scientific and decimal notation TG p6

Lesson 6: Calculations with numbers in scientific notation LB p7

Activity 2b: Calculate with numbers in scientific notation TG p6

Lesson 7: Rational approximations of irrational numbers: Ratio, rate, direct and indirect proportion LB p9

Teach and work through examples TG p7 Activity 3a: Write rational approximations of irrational numbers TG p8

Lesson 8: Rational approximations of irrational numbers: Word problems LB p12

Activity 3b: Solve problems involving ratio, rate and proportion TG p9

Lesson 9: Assessment LB p14

Assessment TG p10

Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for consolidation and extra challenges

Assessment: Type of assessment: Formal assessment for Lessons 4, 6 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO1 for Lesson 4; rubric 3 LO1 for Lesson 6; memo (TG p10) for Lesson 9

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

Teacher reflection:

4


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 LO1 Technology LO2 Economic and Management Sciences LO4 Social Sciences(Geog) LO1

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

Activity 1a: (Baseline assessment) Revising number patterns TG p13

Lesson 2: Fractals LB p19 Activity 1b: Investigate patterns using the Sierpinski Carpet TG p14

Lesson 3: Number patterns around us LB p25

Activity 2: Calculating income tax TG p18


Assessment TG p20

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

Assessment: Type of assessment: Formal assessment for Lessons 3 and 4 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric TG p17 for Lesson 3; memo (TG p20) for Lesson 4

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

Teacher reflection:

5

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

Constructs mathematical models Draws graphs on the Cartesian plane for given equations Determines, analyses and interprets

LO3 Space and Shape

Uses various representational systems to describe position and movement between positions

Natural Sciences LO2 Technology LO1 Economic and Management Sciences LO1 Life Orientation LO1

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

Activity 1a: (Baseline assessment) Find your position from a street map TG p24

Lesson 2: The Cartesian Plane LB p37

Activity 1b: Plot points on a Cartesian plane TG p25

Lesson 3: Draw graphs by plotting points LB p39

Activity 2a: Analyse a formula TG p26 Activity 2b: Relate side lengths to area and perimeter TG p27

Lesson 4: Explore straight-line graphs LB p44

Activity 3a: Explore the properties of straight-line graphs TG p32 Activity 3b: Reflecting on properties of straight-line graphs TG p34

Lesson 5: The gradient of a straight-line graph LB p48

Activity 4: Determine the gradient of straight-line graphs when the graph is given TG p36

Lesson 6: Explore the general properties of straight-line graphs in the context of mathematics LB p51

Activity 5: Draw straight-line graphs for given equations TG p37

Lesson 7: Use the properties of straight-line graphs to draw graphs LB p53

Activity 6: Draw straight-line graphs by using the y-intercept gradient method TG p39

Lesson 8: Use the x- and y-intercepts to draw straight-line graphs LB p55

Activity 7: Draw sketch graphs TG p41


Assessment TG p44

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

Assessment: Type of assessment: Formal assessment for Lessons 7 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO2 for Lesson 7 Memo (TG p44) for Lesson 9

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

Teacher reflection:

6

7


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 LO1 Economic and Management Sciences LO1 Life Orientation LO1

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

Activity 1: (Baseline assessment) Use the first law of exponents to simplify expressions TG p47

Lesson 2: The second law of exponents LB p64

Activity 2: Investigate the quotient of numbers written in index form TG p48

Lesson 3: The third law of exponents LB p65

Activity 3: Use the third law of exponents to simplify expressions TG p48

Lesson 4: The fourth law of exponents LB p66

Activity 4: Use the fourth law of exponents to simplify expressions TG p49

Lesson 5: The product of a monomial and a polynomial LB p67

Activity 5: Practice writing the expansions of algebraic expressions TG p49

Lesson 6: The product of two binomials with unlike terms LB p69

Activity 6: Find the product of two binomials with unlike terms TG p50

Lesson 7: The product of two binomials with like terms LB p70

Activity 7: Find the product of two binomials with like terms TG p51

Lesson 8: The square of a binomial LB p71

Activity 8: Investigate the squares of binomials TG p52

Lesson 9: Products of the type (a + b)(a - b) LB p72

Activity 9: Investigate the products of the type (a + b)(a - b) TG p53

Lesson 10: Converting polynomials to product expressions LB p73

Activity 10: Find the factors of a polynomial TG p54 Activity 11: Factorise algebraic expressions (Common factors) TG p54

Lesson 11: The difference of two squares LB p75

Activity 12: Factorise the difference of two squares TG p55


Assessment TG p56


Assessment: Type of assessment: Formal assessment for Lessons 5, 11 and 12 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 5 LO2 for Lesson 5, Rubric 2 LO3 for Lesson 11, Memo TG p56 for Lesson 12

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.

Teacher reflection:


Chapter 5: Algebraic fractions Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 11-12 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, uses and represents rational numbers Recognises, describes and uses the properties of rational numbers

LO2: Patterns, functions and algebra

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 LO1 Life Orientation LO1 Economic and Management Sciences LO1

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

Activity 1: (Baseline assessment) To simplify fractions TG p59 Activity 2: Simplify fractions that include numbers written in exponent notation TG p59

Lesson 2: The meaning of a0 LB p80

Activity 3a: Explore the meaning of zero as an exponent TG p60

Lesson 3: Negative exponents LB p81

Activity 3b: Explore the meaning of negative exponents TG p61

Lesson 4: Simplify algebraic fractions LB p82

Activity 4: Simplify algebraic fractions TG p61

Lesson 5: Simplify algebraic expressions by factorisation LB p83

Activity 5: Simplify algebraic expressions by factorisation TG p62

Lesson 6: Multiplication and division of fractions LB p84

Activity 6: Multiplication and division of fractions TG p63

Lesson 7: Addition and subtraction of fractions LB p85

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.

Teacher reflection:

8

LESSON PLANS – Grade 9 Chapter 6: Equations Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 13-14 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Estimates and calculates by selecting and using operations appropriate to solving problems and judging the reasonableness of results

LO2: Patterns, functions and algebra

Represents and uses relationships between variables Constructs mathematical models Solves equations Determines, analyses and interprets the equivalence

Natural Sciences LO1 Technology LO1 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

Activity 1: (Baseline assessment) Solve equations by inspection TG p67

Lesson 2: Reverse the calculation procedure to determine the output value LB p92

Activity 2: Solve problems by reversing the calculation procedure TG p68

Lesson 3: The balance algorithm : Solve equations with the unknown (variable) on both sides of the equation LB p94

Activity 3a: Solving equations using the balance algorithm LB p70

Lesson 4: The balance algorithm: Solve more complicated equations with variables on both sides of the equation LB p96

Activity 3b: More about the balance algorithm LB p70

Lesson 5: Equations with fractions LB p97

Activity 4: Solve simple equations involving fractions TG p71

Lesson 6: Equations involving more complicated fractions LB p98

Activity 5: Solve more complicated equations that involve fractions TG p72

Lesson 7: The difference between simplifying algebraic fractions and solving equations with fractions LB p100

Activity 6: Interpret algebraic expressions and equations TG p73

Lesson 8: Construct equations for number problems LB p101

Activity 7: Translate word problems into algebraic language TG p74

Lesson 9: Use equations as mathematical models to solve problems LB p102

Activity 8: Use equations as mathematical models to solve problems TG p75


Assessment TG p76


Assessment: Type of assessment: Formal assessment for Lessons 5 and 10 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 5 LO2 for Lesson 5 Memo (TG p76) for Lesson 10

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

Teacher reflection:

9

LESSON PLANS – Grade 9 Chapter 7: Transformations Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 15-16 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 LO1 Arts and Culture LO1

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

Teach reflection, rotation, translation and enlargement and work through examples TG p78

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

Teach and work through examples TG p80 Activity 1: (Baseline assessment) Draw enlargements of a given figure TG p80

Lesson 6: Combined transformations LB p121

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

Teacher reflection:

10

LESSON PLANS – Grade 9 Chapter 8: Geometric figures Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 17-18 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 LO1 Arts and Culture LO1 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

Activity 1a: (Baseline assessment) Explore patterns used by different cultures TG p92

Lesson 2: Patterns used in designs LB 131 In the animal world LB p132 In fish and birds LB p133

Activity 1b: Design your own pattern TG p92

Lesson 3: Ideal designs LB p134 Fibonacci sequence LB p136

Activity 1c: Construct your own golden rectangle TG p93 Teach and work through the example TG p94

Lesson 4: More about polygons LB p137


Lesson 5: Angles of regular polygons LB p138

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

Lesson 6: Constructing regular polygons LB p141

Activity 1f: Constructing regular polygons TG p99

Lesson 7: Use transformations to investigate properties of polygons: Line symmetry LB p144 Rotational symmetry LB p144

Activity 2a: Investigate the symmetrical properties of polygons TG p102

Lesson 8: Sides and angles of polygons LB p146

Activity 2b: Investigate the properties of quadrilaterals TG p104 Activity 2c: Use the properties of quadrilaterals to identify them TG p105

Lesson 9: Congruency and similarity LB p150

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


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

Teacher reflection:

12

LESSON PLANS – Grade 9 Chapter 9: Lines, angles and triangles Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 19-21 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 LO1 Arts and Culture LO1

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

Activity 1: (Baseline assessment) Find angle relationships for triangles and lines TG p116

Lesson 3: Parallel lines LB p165

Activity 2: Work with alternate, corresponding and co-interior angles TG p118

Lesson 4: Similar triangles LB p170

Activity 3a: Explore the relation between the two conditions for similarity TG p121 Activity 3b: Identify similar triangles TG p122

Lesson 5: Calculate missing sides LB p176

Activity 4a: Calculate missing sides and angles TG p123 Activity 4b: Calculate missing sides TG p124

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 example TG p127 – 131


Assessment TG p131

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

Teacher reflection:

13

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 LO1 Arts and Culture LO1 Natural Sciences LO1

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

Activity 1a: (Baseline assessment) Make models of solids TG p135 Activity 1b: Investigate the properties of solids TG 135

Lesson 2: Symmetrical properties of polyhedrons LB p200

Activity 1c: Explore the symmetrical properties of polyhedrons TG p137 Activity 1d: Explore the rotational symmetry of polyhedrons TG p138

Lesson 3: Surface area and volume of polyhedrons LB p202

Activity 2: Calculate the surface area and the volume of a triangular prism TG p140

Lesson 4: Cylinders LB p204 Containers shaped like polyhedrons LB p208

Activity 3: Calculate the surface area and the volume of a cylinder TG p141 Teach and work through examples TG p141

Lesson 5: Isometric shapes: Isometric paper LB p209

Activity 4: Isometric shapes TG p144

Lesson 6: Views of shapes LB p212


Lesson 7: Nets LB p213 Activity 5a: Explore nets of containers TG p147 Activity 5b: Design your own containers TG p147

Lesson 6: Communicate using drawings LB 216 Projections LB 216 Orthographic drawing LB p216

Teach and work through examples TG p149 Activity 6a: Do calculations from drawings TG p150

Lesson 7: Isometric drawing LB p218

Activity 6b: Exploring projections of 3-D shapes TG p151

Lesson 8: Diagonals of polyhedrons LB p219



Assessment TG p153

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

Assessment: Type of assessment: Formal assessment for Lessons 3, 7 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 3 Rubric 1 LO3 for Lesson 7 Memo (TG p153) for Lesson 10

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

Teacher reflection:

14

LESSON PLANS – Grade 9 Chapter 11: Measurement Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 23 -24 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 LO1 Social Sciences(Geog) LO3 Life Orientation LO1, 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

Activity 1a: (Baseline assessment) Measure and calculate with length TG p157

Lesson 2: Theorem of Pythagoras LB p225

Activity 1b: Apply the Theorem of Pythagoras to calculate missing lengths TG p158

Lesson 3: Area LB p228

Teach and work through examples TG p159 Activity 2: Construct polygons with given areas TG p160

Lesson 4: Volume and capacity LB p233

Activity 3: Calculate the volume of air in a building TG p162

Lesson 5: Ratio and rate problems LB p236

Activity 4a: Calculate the number of calories in a diet TG p163

Lesson 6: Convert between imperial and metric units LB p238

Activity 4b: Convert between imperial and metric units TG p163

Lesson 7: Watering the garden LB p239 How many sprinklers? LB p240

Activity 4c: Calculate the flow rate of a tap TG p164 Activity 4d: Calculate the number of sprinklers in a water line TG p165

Lesson 8: Measurement in sport LB p241 Anaerobic fitness LB p242 Speed test LB p242 Muscle endurance LB p242 Flexibility test LB p242

Activity 4e: Test your fitness level TG p165 Teach and work through examples TG p166

Lesson 9: Problems involving time, distance and speed LB p243

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

Assessment: Type of assessment: Formal assessment for Lessons 1, 4 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO4 for Lesson 1 Rubric 1LO4 for Lesson 4 Memo (TG p167) for Lesson 10

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

Teacher reflection:

15

LESSON PLANS – Grade 9 Chapter 12: Consumer Maths Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 25 -26 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Solves problems in contexts

LO5: Data handling 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

Revising concepts from Grade 8

Lesson 2: Lending and borrowing money: Compound interest LB p249

Activity 1: (Baseline assessment) Investigate compound interest TG p169 Activity 2: Borrowing large amounts of money TG p170

Lesson 3: Compound interest LB p253 Using the formula LB p254

Activity 3: Find a formula to calculate compound interest TG p171

Lesson 4: Budgeting LB p255 Government budgets LB p256

Activity 4: Thinking about a budget TG p174 Activity 5a: Work with government budgets TG p174

Lesson 5: Budgeting LB p255 Activity 5b: Different methods of buying TG p175 Lesson 6: Bank charges LB p259 Inflation LB p261


Lesson 7: Taxation LB p261 Teach and work through examples TG p176 Lesson 8: More mathematics in everyday living LB p264



Assessment TG p178

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

Teacher reflection:

16

LESSON PLANS – Grade 9 Chapter 13: Statistics Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 27- 29 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 LO1, 3 Natural Sciences LO1 Economic and Management Sciences LO4 Social Sciences (Geog) LO3 Life Orientation LO1, 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

Activity 1: (Baseline assessment) Calculate the mean, median and mode of data TG p181

Lesson 2: Measures of dispersion LB p271

Activity 2: Calculate the range and interquartile range TG p182

Lesson 3: Statistical graphs: Bar graphs, double bar graphs and histograms LB p272

Activity 3: Interpret data displayed in bar graphs TG p183

Lesson 4: Statistical graphs: Pie charts LB p275

Activity 4: Interpret data displayed in a pie chart TG p186

Lesson 5: Statistical graphs: Line and broken-line LB p276

Activity 5: Interpret data displayed in broken-line graphs TG p187

Lesson 6: Scatter plots LB p279

Activity 6: Interpret data displayed in scatter plots TG p190

Lesson 7: Misleading statistics LB p280

Activity 7: Critically read and interpret data TG p191


Assessment TG p192

Maths Today Grade 9 Learner's Book and Teacher's Guide Atlas Coloured pencils Protractor STATS SA information Internet websites

Assessment: Type of assessment: Formal assessment for Lesson 3, 7 and 8

Informal assessment: all other activities can be used for informal assessment

Form of assessment: Rubric 2 LO5 for Lesson 3 Rubric 3 LO 5 for Lesson 7 Memo (TG p192) for Lesson 8


Teacher reflection:

17

18


Chapter 14: Probability Learning Areas: Maths Grade: 9 Duration: 10 hours Weeks: 30 -31 Learning Outcome Assessment Standards Integration LO5: Data handling

Considers situations with equally probable outcomes Economic and Management Sciences LO4 Technology LO1, 3 Natural Sciences LO1 Life Orientation LO1, 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

Activity 1: (Baseline assessment) Toss coins to determine relative frequencies TG p195

Lesson 2: Probability of an event LB p287

Activity 2: Count sweets to calculate the probability for outcomes of events TG p196

Lesson 3: Table to calculate probability LB p289

Activity 3: Use tables to calculate probability TG p197

Lesson 4: Tree diagrams LB p290

Activity 4: Using tree diagrams to calculate probability TG p198


Assessment TG p192

Mathematics today Grade 9 Learner's Book and Teacher's Guide Four coins Packet of jelly beans Two dice

Assessment: Type of assessment: Formal assessment for Lessons 2 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: 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


Teacher reflection:

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 1:

Num

bers

, Ope

ratio

ns a

nd R

elat

ions

hips

: Rec

ogni

sing

, cla

ssify

ing

and

repr

esen

ting

num

bers

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Can

exc

elle

ntly

re

cogn

ise

and

repr

esen

t, de

scrib

e an

d co

mpa

re a

nd

conv

ert b

etw

een

equi

vale

nt fo

rms

of

num

bers

in m

ore

than

one

way

to a

ve

ry h

igh

leve

l, ex

ceed

ing

expe

cted

re

quire

men

ts

Can

reco

gnis

e an

d re

pres

ent,

desc

ribe

and

com

pare

and

co

nver

t bet

wee

n eq

uiva

lent

form

s of

nu

mbe

rs m

eetin

g al

l the

requ

irem

ents

an

d w

orki

ng o

n a

good

leve

l

Can

reco

gnis

e an

d re

pres

ent,

desc

ribe

and

com

pare

and

co

nver

t bet

wee

n eq

uiva

lent

form

s of

nu

mbe

rs m

eetin

g m

ost o

f the

re

quire

men

ts

Can

fairl

y re

cogn

ise,

re

pres

ent a

nd

com

pare

num

bers

m

eetin

g an

ad

equa

te p

ortio

n of

re

quire

men

ts

Can

reco

gnis

e,

repr

esen

t and

co

mpa

re n

umbe

rs

with

low

leve

ls o

f co

mpe

tenc

y

Stru

ggle

s to

re

cogn

ise

and/

or

repr

esen

t num

bers

Can

not r

ecog

nise

an

d/or

repr

esen

t nu

mbe

rs,

requ

irem

ents

not

m

et

19

RU

BR

IC 2

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 1:

Num

bers

, Ope

ratio

ns a

nd R

elat

ions

hips

: App

licat

ion

of n

umbe

rs to

pro

blem

s

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Can

ex

celle

ntly

so

lve

prob

lem

s in

volv

ing

num

bers

and

is

cor

rect

al

mos

t all

of

the

time,

ex

ceed

ing

expe

cted

re

quire

men

ts

Sol

ves

prob

lem

s in

volv

ing

num

bers

and

is

corre

ct m

ost o

f th

e tim

e

mee

ting

all t

he

requ

irem

ents

an

d w

orki

ng o

n a

good

leve

l

Sol

ves

prob

lem

s in

volv

ing

num

bers

an

d is

cor

rect

mos

t of

the

time

mee

ting

mos

t of t

he

requ

irem

ents

A fa

ir ac

hiev

emen

t m

eetin

g an

ad

equa

te p

ortio

n of

the

requ

irem

ents

in

solv

ing

prob

lem

s in

volv

ing

num

bers

an

d is

som

etim

es

corre

ct

A m

oder

ate

achi

evem

ent

parti

ally

sat

isfy

ing

the

requ

irem

ents

so

lvin

g pr

oble

ms

invo

lvin

g nu

mbe

rs

and

is s

omet

imes

co

rrect

Ele

men

tary

at

tem

pts

to

solv

e pr

oble

ms

invo

lvin

g nu

mbe

rs a

nd

is s

eldo

m

corre

ct

Uns

atis

fact

ory

at

tem

pts

to s

olve

pr

oble

ms

invo

lvin

g nu

mbe

rs a

nd is

se

ldom

cor

rect

, re

quire

men

ts n

ot

met

20

R

UB

RIC

3: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

1: N

umbe

rs, O

pera

tions

and

Rel

atio

nshi

ps: C

alcu

latio

n ty

pes

invo

lvin

g nu

mbe

rs

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an e

xcel

lent

ly

estim

ate

and

calc

ulat

e, p

erfo

rm

men

tal c

alcu

latio

ns,

and

use

a ra

nge

of

tech

niqu

es a

s lis

ted

in th

e as

sess

men

t st

anda

rds

for t

his

grad

e to

per

form

ca

lcul

atio

ns,

chec

king

sol

utio

ns

effic

ient

ly a

nd w

ith

conf

iden

ce,

exce

edin

g th

e re

quire

men

ts

Can

est

imat

e an

d ca

lcul

ate,

per

form

m

enta

l cal

cula

tions

, an

d us

e a

rang

e of

te

chni

ques

as

liste

d in

the

asse

ssm

ent

stan

dard

s fo

r thi

s gr

ade

to p

erfo

rm

calc

ulat

ions

, ch

ecki

ng s

olut

ions

w

ith c

onfid

ence

and

m

eetin

g al

l the

re

quire

men

ts

Can

est

imat

e an

d ca

lcul

ate,

per

form

m

enta

l cal

cula

tions

, an

d us

e a

rang

e of

te

chni

ques

as

liste

d in

the

asse

ssm

ent

stan

dard

s fo

r thi

s gr

ade

to p

erfo

rm

calc

ulat

ions

, ch

ecki

ng s

olut

ions

w

ith c

onfid

ence

and

is

cor

rect

mos

t of

the

time

A fa

ir ac

hiev

emen

t m

eetin

g an

ad

equa

te p

ortio

n of

th

e re

quire

men

ts to

es

timat

e an

d ca

lcul

ate,

per

form

m

enta

l cal

cula

tions

, an

d us

e a

rang

e of

te

chni

ques

for

som

e of

the

asse

ssm

ent

stan

dard

s fo

r thi

s gr

ade

to p

erfo

rm

calc

ulat

ions

, ch

ecki

ng s

olut

ions

an

d is

som

etim

es

corre

ct

A m

oder

ate

achi

evem

ent

parti

ally

sat

isfy

ing

the

requ

irem

ents

to

estim

ate

and

calc

ulat

e, p

erfo

rm

men

tal c

alcu

latio

ns,

and

use

a ra

nge

of

tech

niqu

es fo

r so

me

of th

e as

sess

men

t st

anda

rds

for t

his

grad

e to

per

form

ca

lcul

atio

ns,

chec

king

sol

utio

ns

and

is s

omet

imes

co

rrect

Ele

men

tary

at

tem

pts

to

estim

ate

and

calc

ulat

e an

d pe

rform

men

tal

calc

ulat

ions

for t

he

asse

ssm

ent

stan

dard

s fo

r thi

s gr

ade

and

is

seld

om c

orre

ct

Uns

atis

fact

ory

at

tem

pts

to

estim

ate

and

calc

ulat

e an

d pe

rform

men

tal

calc

ulat

ions

for t

he

asse

ssm

ent

stan

dard

s fo

r thi

s gr

ade

and

is

seld

om c

orre

ct,

requ

irem

ents

not

m

et

21

RU

BR

IC 4

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 1:

Num

bers

, Ope

ratio

ns a

nd R

elat

ions

hips

: Pro

pert

ies

of n

umbe

r

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an u

se a

rang

e of

pr

oper

ties

of

num

bers

ex

celle

ntly

and

with

co

nfid

ence

in o

rder

to

sim

plify

ca

lcul

atio

ns,

exce

edin

g ex

pect

ed

requ

irem

ents

Can

use

a ra

nge

of

prop

ertie

s of

nu

mbe

rs

appr

opria

tely

, co

rrec

tly a

nd w

ith

conf

iden

ce in

ord

er

to s

impl

ify

calc

ulat

ions

, m

eetin

g al

l the

re

quire

men

ts a

nd

wor

king

on

a go

od

leve

l

Can

use

a ra

nge

of

prop

ertie

s of

nu

mbe

rs

appr

opria

tely

, co

rrec

tly a

nd w

ith

conf

iden

ce in

ord

er

to s

impl

ify

calc

ulat

ions

, is

corre

ct m

ost o

f the

tim

e, m

eetin

g m

ost

of th

e re

quire

men

ts

Can

fairl

y us

e a

rang

e of

pro

perti

es

of n

umbe

rs

appr

opria

tely

, co

rrec

tly a

nd w

ith

conf

iden

ce in

ord

er

to s

impl

ify

calc

ulat

ions

Atte

mpt

s to

use

pr

oper

ties

of

num

bers

to s

impl

ify

calc

ulat

ions

with

m

oder

ate

succ

ess

and

only

par

tially

sa

tisfy

the

requ

irem

ents

Mak

es n

o at

tem

pt

to u

se th

e pr

oper

ties

of

num

bers

to s

impl

ify

calc

ulat

ions

with

ju

st e

lem

enta

ry

atte

mpt

s

Mak

es n

o at

tem

pt

to u

se th

e pr

oper

ties

of

num

bers

to s

impl

ify

calc

ulat

ions

R

equi

rem

ents

not

m

et

22

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 2:

Pat

tern

s, F

unct

ions

and

Alg

ebra

: Pat

tern

s

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an e

xten

d pa

ttern

s ex

celle

ntly

an

d de

scrib

e,

expl

ain

and

just

ify

rela

tions

hips

with

in

patte

rns

in te

rms

of

both

con

secu

tive

term

s an

d th

e po

sitio

n of

the

term

in

the

patte

rn w

ith

delib

erat

e at

tem

pts

at e

ffici

ency

, ex

ceed

ing

expe

cted

re

quire

men

ts

Can

ext

end

patte

rns

and

desc

ribe,

exp

lain

an

d ju

stify

re

latio

nshi

ps w

ithin

pa

ttern

s in

term

s of

bo

th c

onse

cutiv

e te

rms

and

the

posi

tion

of th

e te

rm

in th

e pa

ttern

with

de

liber

ate

atte

mpt

s at

effi

cien

cy,

mee

ting

all t

he

requ

irem

ents

Can

ext

end

patte

rns

and

desc

ribe,

exp

lain

an

d ju

stify

re

latio

nshi

ps w

ithin

pa

ttern

s in

term

s of

bo

th c

onse

cutiv

e te

rms

and

the

posi

tion

of th

e te

rm

in th

e pa

ttern

m

eetin

g m

ost o

f the

re

quire

men

ts

Can

ext

end

patte

rns

fairl

y an

d de

scrib

e, e

xpla

in

and

just

ify

rela

tions

hips

with

in

patte

rns

in te

rms

of

both

con

secu

tive

term

s an

d th

e po

sitio

n of

the

term

in

the

patte

rn,

mee

ting

an

adeq

uate

por

tion

of

requ

irem

ents

Can

ext

end

patte

rns

and

desc

ribe

rela

tions

hips

with

in

patte

rns

in te

rms

of

cons

ecut

ive

term

s in

the

patte

rn,

parti

ally

sat

isfy

ing

the

requ

irem

ents

Can

ext

end

elem

enta

ry

patte

rns,

mar

gina

lly

satis

fyin

g th

e re

quire

men

ts

Can

not e

xten

d pa

ttern

s, d

oes

not

mee

t req

uire

men

ts

23

R

UB

RIC

2: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

2: P

atte

rns,

Fun

ctio

ns a

nd A

lgeb

ra: E

quat

ions

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Sol

ves

equa

tions

(n

umbe

r sen

tenc

es)

exce

llent

ly u

sing

tri

al a

nd

impr

ovem

ent w

ith

succ

ess

alm

ost a

ll of

the

time

and/

or

desc

ribes

a

prob

lem

situ

atio

n in

a

varie

ty o

f way

s,

exce

edin

g ex

pect

ed

requ

irem

ents

Sol

ves

equa

tions

(n

umbe

r sen

tenc

es)

on a

goo

d le

vel

usin

g tri

al a

nd

impr

ovem

ent w

ith

succ

ess

alm

ost a

ll of

the

time

and/

or

desc

ribes

a

prob

lem

situ

atio

n in

a

varie

ty o

f way

s,

mee

ting

all t

he

requ

irem

ents

Goo

d ac

hiev

emen

t in

sol

ving

equ

atio

ns

(num

ber s

ente

nces

) us

ing

trial

and

im

prov

emen

t with

su

cces

s m

ost o

f the

tim

e an

d/or

de

scrib

es a

pr

oble

m s

ituat

ion

in

a va

riety

of w

ays,

m

eetin

g m

ost o

f the

re

quire

men

ts

Fair

achi

evem

ent i

n so

lvin

g eq

uatio

ns

(num

ber s

ente

nces

) us

ing

trial

and

im

prov

emen

t with

su

cces

s m

ost o

f the

tim

e an

d/or

de

scrib

es a

pr

oble

m s

ituat

ion

in

a va

riety

of w

ays,

m

eetin

g an

ad

equa

te p

ortio

n of

th

e re

quire

men

ts

Can

det

erm

ine

unkn

owns

in

inpu

t/out

put

cont

exts

and

/or c

an

som

etim

es d

escr

ibe

a pr

oble

m s

ituat

ion

usin

g a

num

ber

sent

ence

, par

tially

sa

tisfy

ing

the

requ

irem

ents

Ele

men

tary

at

tem

pts

to

dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s

Can

not s

olve

eq

uatio

ns (n

umbe

r se

nten

ces)

by

trial

-an

d-im

prov

emen

t or

alg

ebra

ic

proc

ess

24

R

UB

RIC

3: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

2: P

atte

rns,

Fun

ctio

ns a

nd A

lgeb

ra: G

raph

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

onfid

ently

co

nstru

cts

and

inte

rpre

ts

mat

hem

atic

al

mod

els

that

re

pres

ent,

desc

ribe

an p

rovi

de s

olut

ions

to

pro

blem

s

Can

con

stru

ct a

nd

inte

rpre

t m

athe

mat

ical

m

odel

s th

at

repr

esen

t, de

scrib

e an

pro

vide

sol

utio

ns

to p

robl

ems

Can

mos

tly

cons

truct

and

in

terp

ret

mat

hem

atic

al

mod

els

that

re

pres

ent,

desc

ribe

an p

rovi

de s

olut

ions

to

pro

blem

s

A fa

ir ac

hiev

emen

t in

con

stru

ctin

g an

d in

terp

retin

g m

athe

mat

ical

m

odel

s th

at

repr

esen

t, de

scrib

e an

pro

vide

sol

utio

ns

to p

robl

ems

Cor

rect

ly a

nsw

ers

ques

tions

from

gr

aphs

som

e of

the

time

and

draw

s gr

aphs

. A m

oder

ate

achi

evem

ent

parti

ally

sat

isfy

ing

the

requ

irem

ents

Par

tly a

nsw

ers

ques

tions

on

inte

rpre

ting

mat

hem

atic

al

mod

els

Uns

atis

fact

ory

atte

mpt

s to

ans

wer

qu

estio

ns o

n m

athe

mat

ical

m

odel

s th

at

repr

esen

t, de

scrib

e an

d pr

ovid

e so

lutio

ns to

pr

oble

m s

ituat

ions

25

RU

BR

IC 4

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 2:

Pat

tern

s, F

unct

ions

and

Alg

ebra

: Equ

ival

ent r

epre

sent

atio

ns

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an (f

or th

e sa

me

situ

atio

n)

exce

llent

ly

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

se

lect

ing

the

mos

t us

eful

for a

giv

en

situ

atio

n w

ith

flexi

bilit

y, e

xcee

ds

expe

cted

re

quire

men

ts

Can

(for

the

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

di

ffere

nt

repr

esen

tatio

ns

sele

ctin

g th

e m

ost

usef

ul fo

r a g

iven

si

tuat

ion

with

fle

xibi

lity,

m

eetin

g al

l the

re

quire

men

ts a

nd

wor

king

on

a go

od

leve

l

Can

(for

the

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

di

ffere

nt

repr

esen

tatio

ns

sele

ctin

g th

e m

ost

usef

ul fo

r a g

iven

si

tuat

ion

mee

ting,

m

ost o

f the

re

quire

men

ts

Can

fairl

y (fo

r the

sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

se

lect

ing

the

mos

t us

eful

for a

giv

en

situ

atio

n, m

eetin

g an

ade

quat

e po

rtion

of

the

requ

irem

ents

Can

(for

the

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

re

pres

enta

tions

gi

ven

in th

e sa

me

form

(e.g

. tw

o di

ffere

nt v

erba

l de

scrip

tions

, onl

y pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

Can

not (

for t

he

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

di

ffere

nt

repr

esen

tatio

ns

Mak

es n

o at

tem

pt

(for t

he s

ame

situ

atio

n) to

de

mon

stra

te th

e eq

uiva

lenc

e of

di

ffere

nt

repr

esen

tatio

ns.

Req

uire

men

ts n

ot

met

26

RU

BR

IC 5

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 2:

Pat

tern

s, F

unct

ions

and

Alg

ebra

: Alg

ebra

ic c

onve

ntio

ns (8

& 9

onl

y)

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Use

s co

nven

tions

of

alg

ebra

ex

celle

ntly

and

co

rrec

tly a

nd is

al

mos

t alw

ays

corre

ct w

hile

ex

ceed

ing

expe

cted

re

quire

men

ts

Use

s co

nven

tions

of

alg

ebra

goo

d an

d co

rrec

tly a

nd is

al

mos

t alw

ays

corre

ct,

Mee

ts a

ll th

e re

quire

men

ts a

nd

wor

king

on

a go

od

leve

l

Use

s co

nven

tions

of

alg

ebra

cor

rect

ly

mos

t of t

he ti

me

mee

ting

mos

t of t

he

requ

irem

ents

Fairl

y us

es

conv

entio

ns o

f al

gebr

a co

rrect

ly

mos

t of t

he ti

me

Ofte

n us

es

conv

entio

ns o

f al

gebr

a co

rrect

ly

parti

ally

sat

isfy

the

requ

irem

ents

Ele

men

tary

at

tem

pts

to u

se

conv

entio

ns o

f al

gebr

a an

d is

se

ldom

cor

rect

Mak

es li

ttle

atte

mpt

to

use

con

vent

ions

of

alg

ebra

and

is

seld

om c

orre

ct

27

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: Sha

pes

and

obje

cts

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an e

xcel

lent

ly

nam

e, c

ompa

re a

nd

clas

sify

2-D

sha

pes

and

3-D

obj

ects

gi

ven

in d

iffer

ent

posi

tions

in te

rms

of

thei

r pro

perti

es

beyo

nd th

ose

spec

ified

for t

his

grad

e, e

xcee

ding

ex

pect

ed

requ

irem

ents

Can

nam

e,

com

pare

and

cl

assi

fy 2

-D s

hape

s an

d 3-

D o

bjec

ts

give

n in

diff

eren

t po

sitio

ns v

ery

good

in

term

s of

thei

r pr

oper

ties

beyo

nd

thos

e sp

ecifi

ed fo

r th

is g

rade

mee

ting

all t

he re

quire

men

ts

Can

nam

e,

com

pare

and

cl

assi

fy 2

-D s

hape

s an

d 3-

D o

bjec

ts

give

n in

diff

eren

t po

sitio

ns in

term

s of

th

eir p

rope

rties

, m

eetin

g m

ost o

f the

re

quire

men

ts

Can

nam

e,

com

pare

and

cl

assi

fy 2

-D s

hape

s an

d 3-

D o

bjec

ts

fairl

y gi

ven

in

diffe

rent

pos

ition

s in

te

rms

of th

eir

prop

ertie

s, m

eets

an

ade

quat

e po

rtion

of

requ

irem

ents

Can

nam

e an

d co

mpa

re 2

-D

shap

es a

nd 3

-D

obje

cts,

giv

en in

di

ffere

nt p

ositi

ons,

in

term

s of

thei

r pr

oper

ties,

par

tially

sa

tisfy

ing

the

requ

irem

ents

Can

nam

e so

me

2-D

and

3-D

and

kn

ows

som

e of

the

prop

ertie

s of

2-D

sh

apes

and

3-D

ob

ject

s in

a g

iven

po

sitio

n in

el

emen

tary

way

an

d lit

tle s

atis

fyin

g th

e re

quire

men

ts

Can

not n

ame

som

e 2-

D a

nd 3

-D

shap

es a

nd s

ome

of th

e pr

oper

ties

of

2-D

sha

pes

and

3-D

obj

ects

in a

giv

en

posi

tion,

doe

s no

t m

eet r

equi

rem

ents

28

RU

BR

IC 2

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: Tra

nsfo

rmat

ions

, con

grue

nce

and

sim

ilarit

y

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Use

s tra

nsfo

rmat

ions

, co

ngru

ence

axi

oms

and

sim

ilarit

y ap

prop

riate

ly to

ju

stify

pro

perti

es o

f 2-

D s

hape

s ex

celle

ntly

cor

rect

al

mos

t all

of th

e tim

e, e

xcee

ding

ex

pect

ed

requ

irem

ents

Use

s tra

nsfo

rmat

ions

, co

ngru

ence

axi

oms

and

sim

ilarit

y ap

prop

riate

ly to

ju

stify

pro

perti

es o

f 2-

D s

hape

s co

rrect

ly a

lmos

t all

of th

e tim

e S

olve

s eq

uatio

ns (n

umbe

r se

nten

ces)

usi

ng

trial

and

im

prov

emen

t with

su

cces

s al

mos

t all

of th

e tim

e an

d/or

de

scrib

es a

pr

oble

m s

ituat

ion

in

a va

riety

of w

ays

Sol

ves

prob

lem

s in

volv

ing

num

bers

an

d is

cor

rect

mos

t of

the

time,

m

eetin

g al

l the

re

quire

men

ts a

nd

wor

king

on

a go

od

leve

l

Use

s tra

nsfo

rmat

ions

, co

ngru

ence

axi

oms

and

sim

ilarit

y ap

prop

riate

ly to

ju

stify

pro

perti

es o

f 2-

D s

hape

s co

rrec

tly m

ost o

f th

e tim

e S

olve

s eq

uatio

ns (n

umbe

r se

nten

ces)

usi

ng

trial

and

im

prov

emen

t with

su

cces

s m

ost o

f the

tim

e an

d/or

de

scrib

es a

pr

oble

m s

ituat

ion

in

a va

riety

of w

ays

Sol

ves

prob

lem

s in

volv

ing

num

bers

an

d is

cor

rect

mos

t of

the

time,

mee

ting

mos

t of t

he

requ

irem

ents

Use

s tra

nsfo

rmat

ions

, co

ngru

ence

axi

oms

and

sim

ilarit

y ap

prop

riate

ly to

ju

stify

pro

perti

es o

f 2-

D s

hape

s co

rrec

tly m

ost o

f th

e tim

e S

olve

s eq

uatio

ns (n

umbe

r se

nten

ces)

usi

ng

trial

and

im

prov

emen

t with

su

cces

s m

ost o

f the

tim

e an

d/or

de

scrib

es a

pr

oble

m s

ituat

ion

in

a va

riety

of w

ays

A

fair

achi

evem

ent

mee

ting

an

adeq

uate

por

tion

of

the

requ

irem

ents

in

solv

ing

prob

lem

s in

volv

ing

num

bers

an

d is

som

etim

es

corre

ct

Atte

mpt

s to

use

tra

nsfo

rmat

ions

an

d/or

con

grue

nce

axio

ms

and/

or

sim

ilarit

y to

just

ify

prop

ertie

s of

2-D

sh

apes

and

is

som

etim

es c

orre

ct

Can

det

erm

ine

unkn

owns

in

inpu

t/out

put

cont

exts

and

/or c

an

som

etim

es d

escr

ibe

a pr

oble

m s

ituat

ion

usin

g a

num

ber

sent

ence

A

mod

erat

e ac

hiev

emen

t pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

solv

ing

prob

lem

s in

volv

ing

num

bers

an

d is

som

etim

es

corre

ct

Atte

mpt

s to

use

tra

nsfo

rmat

ions

an

d/or

con

grue

nce

axio

ms

and/

or

sim

ilarit

y to

just

ify

prop

ertie

s of

2-D

sh

apes

and

is

seld

om c

orre

ct C

an

dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s E

lem

enta

ry

atte

mpt

s to

sol

ve

prob

lem

s in

volv

ing

num

bers

and

is

seld

om c

orre

ct

Atte

mpt

s to

use

tra

nsfo

rmat

ions

an

d/or

con

grue

nce

axio

ms

and/

or

sim

ilarit

y to

just

ify

prop

ertie

s of

2-D

sh

apes

and

is

seld

om c

orre

ct C

an

dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s U

nsat

isfa

ctor

y

atte

mpt

s to

sol

ve

prob

lem

s in

volv

ing

num

bers

and

is

seld

om c

orre

ct,

requ

irem

ents

not

m

et

29

R

UB

RIC

3: M

ATH

EMA

TIC

SLe

arni

ng O

utco

me

3: S

pace

and

Sha

pe: P

ositi

on

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an lo

cate

pos

ition

an

d/or

trac

e a

path

an

d/or

des

crib

e m

ovem

ent b

etw

een

poin

ts o

n va

rious

gr

ids

in a

var

iety

of

way

s C

orre

ctly

an

swer

s qu

estio

ns

with

insi

ght a

bout

a

situ

atio

n fro

m a

gr

aph

of a

situ

atio

n an

d dr

aws

exce

llent

an

d ap

prop

riate

gr

aphs

for a

giv

en

situ

atio

n, e

xcee

ding

th

e re

quire

men

ts

Can

loca

te p

ositi

on

and/

or tr

ace

a pa

th

and/

or d

escr

ibe

mov

emen

t bet

wee

n po

ints

on

vario

us

grid

s in

a v

arie

ty o

f w

ays.

Cor

rect

ly

answ

ers

ques

tions

w

ith in

sigh

t abo

ut a

si

tuat

ion

from

a

grap

h of

a s

ituat

ion

and

draw

s ve

ry

good

app

ropr

iate

gr

aphs

for a

giv

en

situ

atio

n m

eetin

g al

l th

e re

quire

men

ts

Can

loca

te p

ositi

on

and/

or tr

ace

a pa

th

and/

or d

escr

ibe

mov

emen

t bet

wee

n po

ints

on

vario

us

grid

s C

orre

ctly

an

swer

s qu

estio

ns

abou

t a s

ituat

ion

from

a g

raph

of t

he

situ

atio

n m

ost o

f th

e tim

e an

d dr

aws

appr

opria

te g

raph

s fo

r a g

iven

situ

atio

n an

d w

ith c

onfid

ence

an

d is

cor

rect

mos

t of

the

time

Can

loca

te p

ositi

on

and/

or tr

ace

a pa

th

and/

or d

escr

ibe

mov

emen

t bet

wee

n po

ints

on

vario

us

grid

s C

orre

ctly

an

swer

s qu

estio

ns

abou

t a s

ituat

ion

from

a g

raph

of t

he

situ

atio

n so

me

of

the

time

and

draw

s gr

aphs

A fa

ir ac

hiev

emen

t m

eetin

g an

ad

equa

te p

ortio

n of

th

e re

quire

men

ts

Can

loca

te p

ositi

on

and/

or tr

ace

a pa

th

on a

grid

Cor

rect

ly

answ

ers

ques

tions

ab

out a

situ

atio

n fro

m a

gra

ph o

f the

si

tuat

ion

som

e of

th

e tim

e an

d dr

aws

grap

hs A

mod

erat

e ac

hiev

emen

t pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

Can

not l

ocat

e po

sitio

n on

a g

rid

Stru

ggle

s to

ans

wer

qu

estio

ns a

bout

a

situ

atio

n fro

m a

gr

aph.

Is s

eldo

m

corre

ct

Can

not l

ocat

e po

sitio

n on

a g

rid

unsa

tisfa

ctor

y

Req

uire

men

ts n

ot

met

30

RU

BR

IC 4

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: St

raig

ht li

ne g

eom

etry

(Gra

des

8 &

9 o

nly)

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Exc

elle

ntly

use

s pr

oper

ties

of

stra

ight

line

and

tri

angl

e ge

omet

ry

and

is a

lmos

t al

way

s co

rrec

t Can

(fo

r the

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

di

ffere

nt

repr

esen

tatio

ns

sele

ctin

g th

e m

ost

usef

ul fo

r a g

iven

si

tuat

ion

with

fle

xibi

lity,

exc

eedi

ng

expe

cted

re

quire

men

ts

Use

s pr

oper

ties

of

stra

ight

line

and

tri

angl

e ge

omet

ry in

go

od w

ay a

nd is

al

mos

t alw

ays

corr

ect C

an (f

or th

e sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

se

lect

ing

the

mos

t us

eful

for a

giv

en

situ

atio

n w

ith

flexi

bilit

y,

mee

ting

all t

he

requ

irem

ents

and

w

orki

ng o

n a

good

le

vel

Use

s pr

oper

ties

of

stra

ight

line

and

tri

angl

e ge

omet

ry

corr

ectly

mos

t of

the

time

an (f

or th

e sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

se

lect

ing

the

mos

t us

eful

for a

giv

en

situ

atio

n, m

eetin

g m

ost o

f the

re

quire

men

ts

Use

s pr

oper

ties

of

stra

ight

line

and

tri

angl

e ge

omet

ry

fairl

y an

d co

rrec

tly

mos

t of t

he ti

me.

C

an (f

or th

e sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

se

lect

ing

the

mos

t us

eful

for a

giv

en

situ

atio

n

Ofte

n us

es

prop

ertie

s of

st

raig

ht li

ne a

nd

trian

gle

geom

etry

co

rrect

ly C

an (f

or

the

sam

e si

tuat

ion)

de

mon

stra

te th

e eq

uiva

lenc

e of

re

pres

enta

tions

gi

ven

in th

e sa

me

form

(e.g

. tw

o di

ffere

nt v

erba

l de

scrip

tions

, onl

y pa

rtial

ly s

atis

fy th

e re

quire

men

ts .

Atte

mpt

s to

use

pr

oper

ties

of

stra

ight

line

and

tri

angl

e ge

omet

ry

and

is s

eldo

m

corre

ct. C

anno

t (fo

r th

e sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

, ju

st e

lem

enta

ry

atte

mpt

s

Mak

es n

o at

tem

pt

to u

se p

rope

rties

of

stra

ight

line

and

tri

angl

e ge

omet

ry

and

is s

eldo

m

corr

ect C

anno

t (fo

r th

e sa

me

situ

atio

n)

dem

onst

rate

the

equi

vale

nce

of

diffe

rent

re

pres

enta

tions

, re

quire

men

ts n

ot

met

31

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 4:

Mea

sure

men

t: M

easu

rem

ent

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an e

xcel

lent

ly

mea

sure

and

sol

ve

prob

lem

s re

quiri

ng

and

invo

lvin

g: th

e se

lect

ion

of

appr

opria

te

form

ulae

; co

nver

sion

bet

wee

n un

its; a

ccur

acy

and

prec

isio

n w

ith

grea

ter e

ffici

ency

, ex

ceed

ing

expe

cted

re

quire

men

ts

Can

mea

sure

and

so

lve

prob

lem

s ve

ry

wel

l req

uirin

g an

d in

volv

ing:

the

sele

ctio

n of

ap

prop

riate

fo

rmul

ae;

conv

ersi

on b

etw

een

units

; acc

urac

y an

d pr

ecis

ion

with

gr

eate

r effi

cien

cy,

mee

ting

all t

he

requ

irem

ents

Can

mea

sure

and

so

lve

prob

lem

s re

quiri

ng a

nd

invo

lvin

g: th

e se

lect

ion

of

appr

opria

te

form

ulae

; co

nver

sion

bet

wee

n un

its; a

ccur

acy

and

prec

isio

n an

d is

al

mos

t alw

ays

corre

ct, m

eetin

g m

ost o

f the

re

quire

men

ts

Can

mea

sure

and

so

lve

prob

lem

s re

quiri

ng a

nd

invo

lvin

g: th

e se

lect

ion

of

appr

opria

te

form

ulae

; co

nver

sion

bet

wee

n un

its; a

ccur

acy

and

prec

isio

n an

d is

al

mos

t alw

ays

corr

ect,

mee

ts a

n ad

equa

te p

ortio

n of

re

quire

men

ts

Can

mea

sure

an

d/or

sol

ve

prob

lem

s re

quiri

ng

and

invo

lvin

g: th

e se

lect

ion

of

appr

opria

te

form

ulae

; co

nver

sion

bet

wee

n un

its; a

ccur

acy

and

prec

isio

n an

d is

so

met

imes

cor

rect

, on

ly p

artia

lly

satis

fyin

g th

e re

quire

men

ts

Can

mea

sure

an

d/or

sol

ve

prob

lem

s re

quiri

ng

and

invo

lvin

g: th

e se

lect

ion

of

appr

opria

te

form

ulae

; co

nver

sion

bet

wee

n un

its; a

ccur

acy

and

prec

isio

n an

d is

se

ldom

cor

rect

, m

argi

nally

sa

tisfy

ing

the

requ

irem

ents

Can

not m

easu

re

and/

or s

olve

pr

oble

ms

requ

iring

an

d in

volv

ing:

the

sele

ctio

n of

ap

prop

riate

fo

rmul

ae;

conv

ersi

on b

etw

een

units

; acc

urac

y an

d pr

ecis

ion

and

is

seld

om c

orre

ct,

does

not

mee

t re

quire

men

ts

32

R

UB

RIC

1: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

5: D

ata

hand

ling:

Col

lect

ing

and

orga

nisi

ng d

ata

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an p

ose

ques

tions

an

d id

entif

y da

ta

sour

ces

and/

or

colle

ct a

nd o

rgan

ise

data

exc

elle

ntly

and

ac

cura

tely

sel

ectin

g an

d us

ing

appr

opria

te

tech

niqu

es b

eyon

d th

ose

spec

ified

for

this

gra

de,

exce

edin

g ex

pect

ed

requ

irem

ents

Can

pos

e go

od

ques

tions

and

id

entif

y da

ta

sour

ces

and/

or

colle

ct a

nd o

rgan

ise

data

ver

y ac

cura

tely

sel

ectin

g go

od a

nd u

sing

ap

prop

riate

te

chni

ques

bey

ond

thos

e sp

ecifi

ed fo

r th

is g

rade

, mee

ting

all t

he re

quire

men

ts

Can

pos

e qu

estio

ns

and

iden

tify

data

so

urce

s an

d/or

co

llect

and

org

anis

e da

ta a

ccur

atel

y se

lect

ing

and

usin

g ap

prop

riate

te

chni

ques

, m

eetin

g m

ost o

f the

re

quire

men

ts

Can

pos

e qu

estio

ns

and

iden

tify

data

so

urce

s an

d/or

co

llect

and

org

anis

e da

ta a

ccur

atel

y se

lect

ing

and

usin

g ap

prop

riate

te

chni

ques

. Can

po

se q

uest

ions

an

d/or

col

lect

and

or

gani

se d

ata,

m

eetin

g an

ad

equa

te p

ortio

n of

re

quire

men

ts

Mod

erat

e at

tem

pts

to p

ose

ques

tions

an

d/or

col

lect

and

or

gani

se d

ata,

pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

Can

col

lect

dat

a,

mar

gina

lly

satis

fyin

g th

e re

quire

men

ts

Can

not c

olle

ct d

ata

D

oes

not m

eet

requ

irem

ents

33

RU

BR

IC 2

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 5:

Dat

a ha

ndlin

g: R

epre

sent

ing

and

inte

rpre

ting

data

Act

ivity

: N

ame:

Dat

e:

Gra

de:

Le

vel 7

Leve

l 6

Le

vel 5

Leve

l 4

Le

vel 3

Leve

l 2

Le

vel 1

Can

dra

w a

ccur

ate

and

exce

llent

gr

aphs

giv

ing

all

rele

vant

info

rmat

ion

and/

or c

ritic

ally

an

swer

s qu

estio

ns

from

mor

e th

an o

ne

pers

pect

ive

with

ju

stifi

catio

n an

d m

akes

real

istic

pr

edic

tions

bas

ed

on g

iven

dat

a,

exce

edin

g ex

pect

ed

requ

irem

ents

Can

dra

w a

ccur

ate

and

good

gra

phs

givi

ng a

ll re

leva

nt

info

rmat

ion

and/

or

criti

cally

ans

wer

s qu

estio

ns fr

om

mor

e th

an o

ne

pers

pect

ive

with

ju

stifi

catio

n an

d m

akes

real

istic

pr

edic

tions

bas

ed

on g

iven

dat

a,

mee

ting

all t

he

requ

irem

ents

and

w

orki

ng o

n a

good

le

vel

Can

dra

w a

ccur

ate

grap

hs g

ivin

g al

l re

leva

nt in

form

atio

n an

d/or

crit

ical

ly

answ

ers

ques

tions

w

ith ju

stifi

catio

n an

d m

akes

real

istic

pr

edic

tions

bas

ed

on g

iven

dat

a,

mee

ting

mos

t of t

he

requ

irem

ents

A fa

ir ac

hiev

emen

t to

dra

w a

ccur

ate

grap

hs g

ivin

g al

l re

leva

nt in

form

atio

n an

d/or

crit

ical

ly

answ

ers

ques

tions

w

ith ju

stifi

catio

n an

d m

akes

real

istic

pr

edic

tions

bas

ed

on g

iven

dat

a,

mee

ting

an

adeq

uate

por

tion

of

the

requ

irem

ents

Can

dra

w g

raph

s gi

ving

rele

vant

in

form

atio

n an

d/or

an

swer

s qu

estio

ns

and

mak

es

pred

ictio

ns b

ased

on

giv

en d

ata

Can

de

term

ine

unkn

owns

in

inpu

t/out

put

cont

exts

and

/or c

an

som

etim

es d

escr

ibe

a pr

oble

m s

ituat

ion

usin

g a

num

ber

sent

ence

. A

mod

erat

e ac

hiev

emen

t pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

Ele

men

tary

at

tem

pts

to d

raw

gr

aphs

giv

ing

som

e re

leva

nt in

form

atio

n an

d/or

ans

wer

qu

estio

ns b

ased

on

give

n da

ta. C

an

dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s

Can

not d

raw

gra

phs

and/

or a

nsw

er

ques

tions

bas

ed o

n gi

ven

data

. Can

not

dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s

34

RU

BR

IC 3

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 5:

Dat

a ha

ndlin

g: P

roba

bilit

y

A

ctiv

ity:

Nam

e:

D

ate:

G

rade

:

Leve

l 7

Le

vel 6

Leve

l 5

Le

vel 4

Leve

l 3

Le

vel 2

Leve

l 1

C

an e

xcel

lent

ly li

st

all p

ossi

ble

outc

omes

for e

vent

s an

d de

term

ine

the

prob

abilit

y of

thes

e ou

tcom

es a

nd/o

r de

term

ine/

pred

ict

rela

tive

frequ

enci

es

of o

utco

mes

in

sim

ple

expe

rimen

ts

with

reco

gniti

on o

f th

e di

ffere

nce

betw

een

the

prob

abilit

y of

ou

tcom

es a

nd th

eir

rela

tive

frequ

ency

, ex

ceed

ing

the

requ

irem

ents

Can

list

all

poss

ible

ou

tcom

es fo

r eve

nts

and

dete

rmin

e th

e pr

obab

ility

of th

ese

outc

omes

and

/or

dete

rmin

e/pr

edic

t re

lativ

e fre

quen

cies

of

out

com

es in

si

mpl

e ex

perim

ents

w

ith re

cogn

ition

of

the

diffe

renc

e be

twee

n th

e pr

obab

ility

of

outc

omes

and

thei

r re

lativ

e fre

quen

cy,

mee

ting

all t

he

requ

irem

ents

Can

list

all

poss

ible

ou

tcom

es fo

r eve

nts

and

dete

rmin

e th

e pr

obab

ility

of th

ese

outc

omes

and

/or

dete

rmin

e/pr

edic

t re

lativ

e fre

quen

cies

of

out

com

es in

si

mpl

e ex

perim

ents

, m

eetin

g m

ost o

f the

re

quire

men

ts

Can

fairl

y lis

t all

poss

ible

out

com

es

for e

vent

s an

d de

term

ine

the

prob

abilit

y of

thes

e ou

tcom

es a

nd/o

r de

term

ine/

pred

ict

rela

tive

frequ

enci

es

of o

utco

mes

in

sim

ple

expe

rimen

ts,

mee

ting

an

adeq

uate

por

tion

of

the

requ

irem

ents

Can

list

pos

sibl

e ou

tcom

es fo

r and

ev

ent a

nd/o

r de

term

ine/

pred

ict

rela

tive

frequ

ency

of

outc

omes

for s

impl

e ex

perim

ents

. A

mod

erat

e ac

hiev

emen

t pa

rtial

ly s

atis

fyin

g th

e re

quire

men

ts

Mak

es e

lem

enta

ry

atte

mpt

s to

list

po

ssib

le o

utco

mes

fo

r eve

nts

and

is

seld

om c

orre

ct

Can

not

list p

ossi

ble

outc

omes

for

even

ts,

Req

uire

men

ts n

ot

met

35

today grade 9 mathematics lesson plans - pearson...

Documents