senior phase – grade 8 - pearson...

M780636110236

Senior Phase – Grade 8

Today Planning Pack

MATHEMATICS

Contents:

Work Schedule: Page

Grade 8 ……………………………………………………… 2

Lesson Plans:

Grade 8 ………………………………………………………… 4

Rubrics:

LO1 Rubric 1: Recognising, classifying and representing numbers…………....22 LO1 Rubric 2: Applications of numbers to problems……………………………..23 LO1 Rubric 3: Calculations types involving numbers…………………………….24 LO1 Rubric 4: Properties of numbers………………………………………………25 LO2 Rubric 1: Patterns………………………………………………………………26 LO2 Rubric 2: Equations…………………………………………………………….27 LO2 Rubric 3: Graphs……………………………………………………………… 28 LO2 Rubric 4: Equivalent representations………………………………………. 29 LO2 Rubric 5: Algebraic Conventions (Grades 8 & 9 only)…………………...30 LO3 Rubric 1: Shapes and objects…………………………………………………31 LO3 Rubric 2: Transformations, congruence and similarity……………………..32 LO3 Rubric 3: Position……………………………………………………………… 33 LO3 Rubric 4: Straight Line Geometry (Grades 8 & 9 only)……………………..34

LO4 Rubric 1: Measurement…………………………………. …………………….35 LO5 Rubric 1: Collecting and organising data……………………………………..36 LO5 Rubric 2: Representing and Interpreting data………………………………..37 LO5 Rubric 3: Probability…………………………………………………………….38

2

Work Schedule for Maths Today – Grade 8

Term Week LOs & ASs Chapter Assessment Resources 1 1-3 LO1: Numbers,

operations and relationships

Chapter 1: Whole numbers

Informal and formal assessment

Maths Today Grade 8 Learner's Book and Teacher's Guide Number chart, number lines, number cards Calculator for checking answers and doing computations Access to Internet for research Use of computer software for consolidation and extra challenges

1 4-5 LO1: Numbers, operations and relationships

Chapter 2: Powers and roots


Maths Today Grade 8 Learner's Book and Teacher's Guide Number lines, number cards, Scientific calculator to do calculations and for checking answers

1 6-8 LO1: Numbers, operations and relationships

Chapter 3: Fractions, decimals and percentages


Maths Today Grade 8 Learner's Book and Teacher's Guide Concrete apparatus Scientific calculator Fraction wall Fraction diagrams Wall charts Bathroom scale Stopwatch Place value table

1 9 LO1: Numbers, operations and relationships

Chapter 4: Integers


Maths Today Grade 8 Learner's Book and Teacher's Guide Wall charts Number cards Number line (positive and negative integers) Calculator to do calculations and for checking answers

2 10-12 LO2: Patterns, functions and algebra

Chapter 5: Number patterns, generalisations and relationships


Maths Today Grade 8 Learner's Book and Teacher's Guide Number cards Calculator for checking answers


Chapter 6: Introduction to algebra


Maths Today Grade 8 Learner's Book and Teacher's Guide Calculator for checking answers where applicable


Chapter 7: Graphs

Informal and formal assessment Test

Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper

3

18-20 LO3: Space and shape LO4: Measurement

Chapter 8: Geometric figures


Maths Today Grade 8 Learner's Book and Teacher's Guide Protractor Piece of rope Pair of compasses

3

3 21-23 LO3: Space

and shape

Chapter 9: Transformations


Maths Today Grade 8 Learner's Book and Teacher's Guide Tracing paper

3 24 -25 LO1: Numbers, operations and relationships

Chapter 10: Geometric solids


Maths Today Grade 8 Learner's Book and Teacher's Guide Models of solids

4 26-27 LO3: Space and shape LO4: Measurement

Chapter 11: Measurement


Maths Today Grade 8 Learner's Book and Teacher's Guide Stopwatch Measuring tapes Calculators

4 28-29 LO1: Numbers, operations and relationships LO2: Patterns, functions and algebra

Chapter 12: Consumer maths


Maths Today Grade 8 Learner's Book and Teacher's Guide Newspapers Examples of variety of bills Bank statements Insurance policy contract copies Examples of claim forms Telephone bills Travel magazines, business magazines Tables with taxi fares Library books for reference Access to Internet

4 30 LO5: Data handling

Chapter 13: Data handling


Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper Scientific calculator for checking answers Variety of newspaper business sections with graphs Computer access to work on MS Excel drawing graphs

4 31 LO 5: Data handling

Chapter 14: Probability

Informal and formal assessment Test

Maths Today Grade 8 Learner's Book and Teacher's Guide Coins

Note: You need to complete 3 formal assessment tasks per term for Maths for the Senior Phase. This Work Schedule shows all the opportunities for formal assessment.

4

LESSON PLANS – Grade 8

Chapter 1: Whole 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 and cultural development of numbers Recognises, classifies and represents numbers Uses a range of techniques to perform calculations Uses a range of strategies to check solutions

Natural Sciences LO1 Economic and Management Sciences LO3

Content / Knowledge: • Describe historical numbers, illustrate historic numbers • Recognise, classify, represent, compare multiples and factors • Use techniques to calculations; use calculator, use number properties • Check solutions • Order of operations • Applying properties • Calculators

Learning activities Teaching methods/approach Resources Lesson 1: Historical development of numbers LB p1 Egyptian number system LB p1 Roman number system LB p2

Activity 1a: Using hieroglyphs TG p42 Activity 1b: Using Roman and Hindu-Arabic numerals TG p42

Lesson 2: Multiples of whole numbers LB p4 Factors of whole numbers LB p4 Prime factors LB 6

Activity 2a: Identifying prime numbers TG p43 Activity 2b: Identifying mystery numbers TG p44 Activity 2c: Calculating prime factors TG p45 Activity 2d: Investigating perfect numbers and friendly numbers TG p45

Lesson 3: Computation with whole numbers LB p8 Rounding off numbers LB p8 Checking answers LB p9 Mental arithmetic LB p10 Pen-and-paper methods LB p10 Addition and subtraction LB p10 Multiplication and division LB p11

Activity 3a: Discussing computational needs TG p46 Activity 3b: Using mental arithmetic TG p47 Activity 3c: Adding and subtracting TG p47 Activity 4: Multiplying and dividing TG p49

Lesson 4: Use of brackets LB p13

Activity 5a: Using brackets in calculations TG p49

Lesson 5: Order of operations LB p14

Activity 5b: Applying order of operations TG p50

Lesson 6: Properties of operations LB p15

Activity 5c: Applying the properties of operations TG p51

Lesson 7: Using a calculator LB p18

Activity 6: Investigating the functions of your calculator TG p51

Lesson 9: Assessment LB p21

Assessment TG p54

Maths Today Grade 8 Learner's Book and Teacher's Guide Number chart Number lines Number cards Calculator for checking answers and doing computations Access to Internet for research Use of computer software for consolidation and extra challenges

Assessment: Type of assessment: Formal assessment for Lessons 3 and 9 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 3 LO1 for Lesson 3; memo (TG p53) for Lesson 9

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 Engaging in complicated Maths games

Teacher reflection:

5


Chapter 2: Powers and roots Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 4 – 5 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents the following numbers Estimates and calculates by selecting and using appropriate operations Uses a range of techniques to perform calculations

Natural Sciences LO1 Technology LO2 Economic and Management Sciences LO3

Content / Knowledge: • Recognise, classify, represent numbers, exponents, squares, roots, cubes • Use a calculator • Problem solving • Check and judge answers

Learning activities Teaching methods/approach Resources Lesson 1: Working with powers LB p22

Activity 1a: Working out the values of power expressions TG p56

Lesson 2: Working with roots LB p24

Activity 1b: Calculating square roots and cube roots TG p56 Activity 1c: Working out powers and roots TG p57

Lesson 3: Working with large numbers LB p27

Activity 2a: Exploring distances between the planets and the sun TG p57 Activity 2b: Using large numbers in trade and industry TG p58

Lesson 4: Assessment Assessment Task 2: LB p30

Assessment Task 2: Memo TG p59

Maths Today Grade 8 Learner's Book and Teacher's Guide Number lines Number cards Scientific calculator to do calculations and for checking answers

Assessment: Type of assessment: Formal assessment for Lessons 2 and 4 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO2 for Lesson 2; memo (TG p59) 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 Engaging in complicated Maths games

Teacher reflection:

6


Chapter 3: Fractions, decimals and percentages Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 6 – 8 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents the following numbers Recognises and uses equivalent forms Estimates and calculates by selecting and using appropriate operations Solves problems in contexts Solves problems that involve ratio and rate

Economic and Management Sciences LO1

Content / Knowledge: • Recognise, classify, represent, describe and compare decimals, fractions, percentages • Use algorithms • Find equivalent fractions • Use number properties • Estimate, calculate • Do multiple operations with rational numbers • Solve problems in financial context • Solve ratio and rate problems

Learning activities Teaching methods/approach Resources Lesson 1: Common fractions LB p32 Types of common fractions LB p32 Algorithms for finding equivalent fractions LB p32

Activity 1a: Finding a fraction of a quantity TG p61 Activity 1b: Working with common fractions TG p62

Lesson 2: Multiplicative inverse of a number LB p34 Fractions and division: Dividing a whole number by a fraction LB p34 Dividing a fraction by a whole number LB p35

Activity 1c: Investigating division of a whole number by a fraction TG p63

Lesson 3: Fractions and division: Dividing a fraction by a fraction LB p36

Activity 1d: Dividing with fractions TG p63

Lesson 4: Properties of operations LB p37

Activity 1e: Applying the properties to rational numbers TG p63

Lesson 5: Decimal fractions LB p38 Converting common fractions to decimal fractions LB p38 Recurring decimals LB p39 Converting decimal fractions to common fractions LB p40

Activity 2: Using division to convert common fractions to decimals TG p64 Activity 3a: Converting decimal fractions to common fractions TG p65

Lesson 6 Addition and subtraction LB p40

Activity 3b: Adding and subtracting decimals TG p66

Lesson 7 Multiplication and division LB p41

Activity 3c: Multiplying and dividing with decimals TG p66

Lesson 8 Checking calculator answers LB p43

Checking calculator answers TG p66

Lesson 9 Percentages LB p44 Comparing common fractions, decimals and percentages LB p44

Activity 4a: Converting between common fractions, decimals and percentages TG p67

Lesson 10 Expressing a quantity as a percentage of another quantity LB p45 Calculate a percentage of a quantity LB p46

Expressing a quantity as a percentage of another quantity TG p68 Activity 4b: Calculating percentages TG p68

Maths Today Grade 8 Learner's Book and Teacher's Guide Concrete apparatus Scientific calculator Fraction wall Fraction diagrams Wall charts Bathroom scale Stopwatch Place value table Newspaper advertisements Newspaper business sections Classified advertisements Buying and selling ads from local stores /financial institutions

7

Lesson 11 Percentage increase and decrease LB p46

Activity 4c: Working with percentage increases and decreases TG p69

Lesson 12 Ratio and rate LB p48

Activity 5: Solving problems involving ratio and rate TG p70

Lesson 13 Assessment: Assessment Task 3 LB p52

Assessment Task 3 Memo TG p71

Assessment: Type of assessment: Formal assessment for Lessons 6, 7and 13 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO1 for Lesson 6; rubric 3 LO1 for Lesson 7; Memo (TG p71) for Lesson 13

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 Engaging in complicated Mathematical problem solving

Teacher reflection:

8


Chapter 4: Integers Learning Areas: Maths Grade: 7 Duration: 5 hours Week: 9 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents the following numbers Estimates and calculates by selecting and using appropriate operations

Natural Sciences LO1 Social Sciences LO1

Content / Knowledge: • Recognise, classify and represent integers • Estimation • Calculations • Rational numbers

Learning activities Teaching methods/approach Resources Lesson 1: Representing and ordering integers LB p53

Activity1a: Working with integers TG p73

Lesson 2: Addition and multiplication LB p54

Activity 1b: Working with additive inverses TG p73

Lesson 3: Multiplying two negative numbers LB p55

Activity 1c: Investigating the products of negative numbers TG p74

Lesson 4: Subtraction LB p56

Activity 2a: Subtracting integers TG p75 Activity 2b: Using integers in magic squares TG p76

Lesson 5: Division LB p59 Activity 3: Dividing with integers TG p77 Lesson 6: Assessment LB p62

Self-assessment rubric discussion TG p78

Maths Today Grade 8 Learner's Book and Teacher's Guide Wall charts Number cards Number line (positive and negative integers) Calculator to do calculations and for checking answers

Assessment: Types of assessment: Formal assessment for Lessons 4 and 6 Informal assessment: all other activities can be used for informal activities Form of assessment: Rubric 4, LO2 for Lesson 4; memo (TG p78) for Lesson 6

Reinforcement: Revise concept from Grade 7 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 Engaging in mathematical problem solving Working in higher number ranges

Teacher reflection:

9


Chapter 5: Number patterns, generalisations and relationships Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 10 – 12 Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra

Investigates and extends numeric and geometric patterns Describes, explains and justifies observed relationships or rules Represents and uses relationships between Constructs mathematical models Determines, analyses and interprets

Natural Sciences LO1 Technology LO2 Arts and Culture LO1 Economic and Management Sciences LO3

Content / Knowledge: • Investigate and extend numeric and geometric patterns, • Look for relationships, rules, patterns in physical / diagrammatic form • Create own patterns • Represent relationships in tables, algebraically • Describe, explain and justify relationships • Represent and use relationships between variables • Construct mathematical models

Learning activities Teaching methods/approach Resources Lesson 1: Describing a number pattern LB p64

Activity 1a: Describing number patterns TG p80 Activity 1b: Identifying number patterns in a number block TG p81 Activity 1c: Investigating the relationship between two variables TG p84

Lesson 2: Number patterns everywhere around us LB p70

Activity 2: Calculating the cost of drilling a borehole TG p85


Assessment activity Memo TG p88

Maths Today Grade 8 Learner's Book and Teacher's Guide Number cards Calculator for checking answers

Assessment: Type of assessment: Formal assessment for Lessons 1 and 3 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 4 LO1 for Lesson 1; memo (TG p88) for Lesson 3

Reinforcement: Investigates and extends numeric and geometric patterns, looks for relationship, rules, patterns of easy patterns and in lower number ranges 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 Engaging in mathematical problem solving Working in higher number ranges and complicated patterns Finding mathematical websites

Teacher reflection:

10


Chapter 6: Introduction to algebra Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 13 – 15 Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra

Represents and uses relationships between variables Constructs mathematical models Solves equations Uses conventions of algebraic notation Interprets and uses basic algebraic vocabulary in context

Natural Sciences LO2

Content / Knowledge: • Represent, use relationships between variables • Determine input and/or output values • Use verbal descriptions, flow diagrams, tables, formulae, equations and expressions • Construct mathematical models • Solve equations • Use conventions of algebraic notation and Math laws • Interpret and use basic algebraic vocabulary

Learning activities Teaching methods/approach Resources Lesson 1: Algebraic expressions LB p78

Activity 1a: Writing algebraic expressions in a shorter form TG p91

Lesson 2: Input and output values LB p79

Activity 1b: Calculating input and output values TG p92 Activity 1c: Translating instructions into algebraic expressions TG p92

Lesson 3: Index notation LB p81 Activity 2: Exploring index notation TG p94 Lesson 4: Classifying algebraic expressions LB p83

Activity 3a: Classifying algebraic expressions TG p95 Activity 3b: Working with algebraic expressions TG p95

Lesson 5: Substitution LB p86

Activity 4: Using substitution to find values of expressions TG p96

Lesson 6: Addition and subtraction: Addition and subtraction of terms LB p87

Activity 5: Investigating addition and subtraction of algebraic terms TG p97

Lesson 7: Addition and subtraction of algebraic expressions LB p89

Activity 6: Adding and subtracting algebraic expressions TG p98

Lesson 8: Multiplication and division: Multiplication of algebraic terms LB p91 Multiplication of algebraic expressions LB p92

Activity 7: Multiplying algebraic expressions TG p99

Lesson 9: Algebraic fractions LB p94

Activity 8: Simplifying algebraic fractions TG p100

Lesson 10: Division of a polynomial by a monomial LB p96

Activity 9: Dividing a polynomial by a monomial TG p101



Maths Today Grade 8 Learner's Book and Teacher's Guide Calculator for checking answers where applicable

Assessment: Type of assessment: Formal assessment for Lessons 7, 8 and 11 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO2 for Lesson 7; rubric 2 LO2 for Lesson 8; memo (TG p102) for Lesson 11

Reinforcement: Extra examples of new concepts introduced Group work for consolidation purposes Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Working with complicated polynomials

Teacher reflection:

11


Chapter 7: Graphs Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: 16 – 17 Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra

Describes, explains and justifies observed relationships or rules Represents and uses relationships between variables Constructs mathematical models Describes a situation by interpreting a graph

Economic and Management Sciences LO3 Technology LO1 Natural Sciences LO2 Languages LO4 Social Sciences (Geography) LO1

Content / Knowledge: • Describe, explain and justify relationships • Represent and use relationships between variables • Determine input and/or output values • Construct mathematical models • Represent, describe and provide solutions to problem situations • Describe a situation by interpreting a graph • Draw graph from a description

Learning activities Teaching methods/approach Resources Lesson 1: Independent and dependent variables LB p99 Relationship between variables LB p100

Activity 1a: Distinguishing between independent and dependent variables TG p105

Lesson 2: Relationship between variables: Selecting a graph that describes the situation LB p101

Activity 1b: Selecting a graph that describes a situation TG p105

Lesson 3: Relationship between variables: Reading information from a graph LB p104

Activity 2: Reading information from a graph TG p108

Lesson 4: Relationship between time and distance LB p106

Activity 3a: Identifying the relationship between time and distance TG p109

Lesson 5: Graphs representing stop-go situations LB p107

Activity 3b: Interpreting a graph representing a stop-go situation TG p110



Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper

Assessment: Types of assessment: Formal assessment for Lessons 2, 3 and 6 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO2 for Lesson 2 and Lesson 3; rubric (LB p112) for Lesson 6

Reinforcement: Revise basic concepts Extra examples of new concepts introduced Expanded opportunities: Examples with more complicated data

Teacher reflection:

12


Chapter 8: Geometric figures Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 18 – 20 Learning Outcome Assessment Standards Integration LO3: Space and shape

Recognises, visualises and names geometric figures Describes and classifies geometric figures and solids Uses vocabulary to describe Uses a pair of compasses, ruler & protractor

LO4: Measurement

Estimates, compares, measures and draws angles Investigates the relationship between the sides of a right angled triangle Uses the Theorem of Pythagoras Describes and illustrates ways of measuring in different cultures

Technology LO1 Arts and Culture LO1

Content / Knowledge: • Recognise, visualise and name geometric figures and solids • Describe and classify geometric figures and solids properties • Use vocabulary • Use a pair of compasses, ruler & protractor • Estimate, compare, measure and draw angles • Investigate, develop the Theorem of Pythagoras • Use the Theorem of Pythagoras • Describe and illustrate ways of measuring

Learning activities Teaching methods/approach Resources Lesson 1: Lines and angles LB p115 Intersecting lines LB p115

Introduce lines and angles TG p115 Activity 1a: Investigating vertically opposite angles TG p115

Lesson 2: Parallel lines LB 116 Angle properties of parallel lines LB p117

Activity 1b: Finding angle relationships for parallel lines TG p116 Discussion TG p116

Lesson 3: Angles LB p119 Complementary and supplementary angles LB p119

Activity 2a: Working with complementary and supplementary angles TG p117

Lesson 4: Triangles LB p121 Ancient people used right angles LB p123

Activity 2b: Investigating the angles of a triangle TG p118 Activity 3a: Using a knotted rope to find a right angle TG p119

Lesson 5: Right-angled triangles LB p124

Activity 3b: Investigating the relationship between the sides of a right-angled triangle TG p119

Lesson 6: Theorem of Pythagoras LB p126

Theorem of Pythagoras TG p120

Lesson 7: Quadrilaterals LB p129 Angles of quadrilaterals LB p129 Concave and convex quadrilaterals LB p130 Diagonals of quadrilaterals LB p130

Activity 4a: Identifying quadrilaterals TG p121 Activity 4b: Investigating the angles of quadrilaterals TG p121 Demonstrate concave and convex quadrilaterals TG p121 Activity 4c: Investigating the diagonals of quadrilaterals TG p121

Lesson 8: Properties of quadrilaterals LB p132

Explain properties of quadrilaterals TG p122

Lesson 9: Construction techniques: Constructing a triangle LB p133

Activity 5a: Constructing a triangle TG p122

Lesson 10: Construction techniques: Constructing a perpendicular bisector LB p134

Activity 5b: Constructing perpendicular bisectors TG p123

Lesson 11: Construction techniques: Constructing a perpendicular from a point outside a line LB p135

Demonstrate and learners work individually TG p123

Maths Today Grade 8 Learner's Book and Teacher's Guide Protractor Piece of rope Pair of compasses

13

Lesson 12: Construction techniques: Constructing a perpendicular from a point on a line LB p135


Lesson 13: Construction techniques: Draw a line parallel to a given line LB p136


Lesson 14: Construction techniques: Constructing a kite LB p139

Activity 5c: Constructing a kite TG p123



Assessment: Type of assessment: Formal assessment for Lessons 4, 7 and 15 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 4 LO3 for Lesson 4; rubric 1 LO3 for Lesson 7; memo (TG p124) for Lesson 15

Reinforcement: Revise properties and demonstrate with concrete apparatus Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges

Teacher reflection:

14


Chapter 9: Transformations Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 21 – 23 Learning Outcome Assessment Standards Integration LO3: Space and shape

Uses transformations and symmetry to investigate properties Uses proportion to describe the effect of enlargement and reduction Locates positions on coordinate systems

Technology LO1 Arts and Culture LO1 Social Sciences (Geography) LO2

Content / Knowledge: • Use transformations • Use symmetry • Use proportion • Describe effect of enlargement and reduction • Locate positions on coordinate systems

Learning activities Teaching methods/approach Resources Lesson 1: Reflection LB p141 Activity 1: Reflecting figures TG p125 Lesson 2: Rotation LB p145 Activity 2: Using tracing paper to do rotations

TG p128 Lesson 3: Rotational symmetry LB p147

Activity 3: Classifying 2-D figures TG p129

Lesson 4: Translation LB p150 Locating position LB p150

Activity 4a: Describe movement between points in a Cartesian Plane TG p131 Activity 4b: Translating figures TG p132

Lesson 5: Enlargement LB p154 Drawing enlargements LB p155

Activity 5a: Enlarging with a scale factor greater than one TG p134 Activity 5b: Enlarging with a scale factor smaller than one TG p134


Assessment TG p136

Maths Today Grade 8 Learner's Book and Teacher's Guide Tracing paper

Assessment: Types of assessment: Formal assessment for Lessons 3, 4 and 6 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 3; rubric 3 LO3 for Lesson 4; memo (TG p136) for Lesson 6

Reinforcement: Extra examples of the new concepts introduced Expanded opportunities: Transformations with variety of shapes Enlargement with higher scale factors

Teacher reflection:

15


Chapter 10: Geometric solids Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: 24 – 25 Learning Outcome Assessment Standards Integration LO3: Space and shape

Recognises, visualises and names geometric figures and solids Designs and uses nets to make models of geometric solids Draws and interprets sketches of geometric solids

Technology LO1 Arts and Culture LO1 Natural Sciences LO1

Content / Knowledge: • Recognise, visualise and name geometric figures and solids • Deal with platonic solids (tetrahedron, cube, octahedron, dodecahedron, icosahedrons) • Design and use nets • Make models of geometric solids • Draw and interpret sketches of geometric solids from different perspectives.

Learning activities Teaching methods/approach Resources Lesson 1: Regular solids LB p158

Activity 1a: Making models of regular solids TG p138

Lesson 2: Classification of solids LB p164

Activity 1b: Classifying solids TG p138

Lesson 3: Drawing solids LB p165

Activity 1c: Drawing solids TG p140

Lesson 4: Different views of solids LB p168

Activity 2: Drawing different views TG p142



Maths Today Grade 8 Learner's Book and Teacher's Guide Models of solids

Assessment: Types of assessment: Formal assessment for Lessons 2, 4 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 4; rubric 2 LO3 for Lesson 2; memo (TG p144) for Lesson 5

Reinforcement: Revision of solids Extra examples of the new concepts introduced Expanded opportunities: Complex sketches of different views of objects Constructing complicated solids

Teacher reflection:

16


Chapter 11: Measurement Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: 26 – 27 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents numbers

LO4: Measurement Solves more complex problems involving time Solves problems using a range of strategies Converts between:

• mm2 ↔ cm

2 ↔ m

2 ↔ km

2

• mm3 ↔ cm

3 ↔ m

3

• ml (cm3) ↔ l ↔ k

Describes the meaning of and uses π in calculations involving circles Calculates by selecting and using appropriate formulae

Social Sciences (Geog) LO1 Technology LO1 Arts and Culture LO1 Natural Sciences LO1

Content / Knowledge: • Recognise, classify, represent, describe and compare irrational numbers • Solve problems involving time, distance and speed • Length • Perimeter and area of polygons and circles • Volume and surface area of rectangular prisms and cylinders • Solve problems with estimating, 2 decimal places, converting between S.I. units • Describe the meaning of and uses π (pi), discuss historical development in measurement • Calculate and use appropriate formulae

Learning activities Teaching methods/approach Resources Lesson 1: Area and perimeter LB p174 Area of a polygon LB p174

Activity 1a: Revising parallelograms TG p146 Activity 1b: Finding the area of a hexagon TG 147

Lesson 2: Measuring large areas LB p175

Activity 1c: Measuring large areas TG p147

Lesson 3: The perimeter of a polygon LB p177

Activity 2: Calculating the perimeter of a polygon TG p148

Lesson 4: The circumference of a circle LB p180

Activity 3: Measuring circumference and diameter TG p148

Lesson 5: History of pi LB p181 Teach pi TG p149 Lesson 6: The area of a circle LB p182

Activity 4: Working out the area of a circle TG p149

Lesson 7: Surface area LB p184 Surface area of a prism LB p184

Activity 5a: Calculating the surface area of a prism TG p150

Lesson 8: The surface area of a cylinder LB p186

Activity 5b: Calculating the surface area of a cylinder TG p151

Lesson 9: Volume LB p188 Prisms LB p188

Activity 6: Calculating the volume of prisms TG p151

Lesson 10: Cylinders LB p190 Activity 7a: Calculating the volume of a cylinder TG 152

Lesson 11: Storing and measuring liquids LB p190

Activity 7b: Measuring liquids TG p152

Lesson 12: Time, distance and speed LB p192

Activity 8: Calculating speed TG p153



Maths Today Grade 8 Learner's Book and Teacher's Guide Stop watch Measuring tapes Calculators

17

Assessment: Types of assessment: Formal assessment for Lessons 1, 4, 11 and 13 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 1; rubric 1 LO3 for Lesson 4; rubric 1 LO4 for Lesson 11; memo (TG p155) for Lesson 13

Reinforcement: Revision of formulas Extra examples of the new concepts introduced Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Working with more examples, problems and sketches

Teacher reflection:

18


Chapter 12: Consumer mathematics Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: 28 – 29 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Solves problems in context Uses a range of techniques to perform calculations

LO2: Patterns, functions and algebra

Investigates and extends numeric and geometric patterns Describes, explains and justifies observed relationships or rules Describes a situation by interpreting a graph

Languages LO4 Technology LO2 Economic and Management Sciences LO1 Social Sciences (Geography) LO2

Content / Knowledge: • Solve problems in financial context • Use a range of techniques, perform calculations • Investigate and extend numeric and geometric patterns • Look for a relationship or rules • Look for patterns • Describe, explain and justify relationships or rules • Describe a situation by interpreting graphs • Draw a graph from a description of a situation

Learning activities Teaching methods/approach Resources Lesson 1: Foreign currency and exchange rates LB p198 Working with forex graphs LB p199

Activity 1: Working with forex tables TG p157

Lesson 2: Interest LB p200 Simple interest LB p201 Compound interest LB p202

Activity 2a: Calculating simple interest TG p158 Activity 2b: Calculating compound interest TG p158

Lesson 3: Insurance LB p204 Activity 3: Working out an insurance claim TG p159 Lesson 4: Bank accounts LB p205

Activity 4: Reading a bank account statement TG p160

Lesson 5: Telephone charges LB p207

Activity 5: Reading call charge charts TG p160

Lesson 6: Investigation LB p209 Assessment LB p211


Maths Today Grade 8 Learner's Book and Teacher's Guide Workbooks Newspapers Examples of variety of bills Bank statements Insurance policy contract copies Examples of claim forms Telephone bills Travel magazines Business magazines Tables of taxi fares Library books for reference Access to Internet

Assessment: Types of assessment: Formal assessment for Lessons 1, 2 and 6 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 3 LO1 for Lesson 1; rubric 2 LO2 for Lesson 2; memo (TG p163) for Lesson 6

Reinforcement: Extra examples of the new concepts introduced Repetitive calculations Expanded opportunities: Examples with higher levels of complexity Cell phone bills

Teacher reflection:

19


Chapter 13: Data handling Learning Areas: Maths Grade: 8 Duration: 5 hours Weeks: 30 Learning Outcome Assessment Standards Integration LO5: Data handling

Poses questions Selects appropriate sources for the collection of data Designs and uses questionnaires Organises and records data Summarises grouped and ungrouped numerical data Draws a variety of graphs Critically reads and interprets data

Languages LO4 Natural Sciences LO2 Economic and Management Sciences LO3 Social Sciences (Geography) LO1

Content / Knowledge: • Pose questions, select appropriate source, collect data • Design and use questionnaires • Organise and record data • Summarise grouped and ungrouped numerical data • Draw a variety of graphs by hand/technology • Critically read and interpret data

Learning activities Teaching methods/approach Resources Lesson 1: Interpreting data LB p213

Activity 1: Interpreting data TG p165

Lesson 2: Collecting data LB p216

Activity 2a: Designing a questionnaire TG p166

Lesson 3: Organizing data LB p218

Activity 2b: Using a data sheet to record data from a questionnaire TG p167

Lesson 4: Frequency tables LB p218

Activity 2c: Using a frequency table TG p167

Lesson 5: Stem-and-leaf diagrams LB p221

Activity 3a: Using stem-and-leaf diagrams TG p169 Activity 3b: Using back-to-back stem-and-leaf diagrams TG p169

Lesson 6: Displaying data: Bar graphs LB p224 Histograms LB p225

Activity 4a: Representing data in a bar graph TG p171 Activity 4b: Deducing information from a histogram TG p172

Lesson 7: Displaying data: Pie charts LB p228

Activity 5: Drawing a pie chart TG p174

Lesson 8: Displaying data: Line graphs LB p229

Activity 6a: Drawing a line graph TG p175

Lesson 9: Displaying data: Scatter diagrams LB p230

Activity 6b: Drawing a scatter diagram TG p176

Lesson 10: Representative values LB p233

Activity 7a: Calculating the mean TG p178 Activity 7b: Calculating the median TG p179 Activity 7c: Calculating the mode TG p179

Lesson 11: Measures of dispersion LB p234

Activity 7d: Describing a set of data TG p179

Lesson 12: Which one to use: mean, median or mode? LB p236

Activity 8: Comparing the mean and the mode of a set of data TG p180

Lesson 13: Using a calculator to find the mean LB p238

Activity 9: Using the statistical functions on a scientific calculator TG p182



Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper Scientific calculator for checking answers Variety of newspaper business sections with graphs Computer access to work on MS Excel drawing graphs

20

Assessment: Type of assessment: Formal assessment for Lessons 3, 6, 11 and 14 Informal assessment: all other activities can be used for informal assessment Form of assessment Rubric 1 LO5 for Lesson 3; rubric 2 LO5 for Lesson 6; rubric 3 LO5 for Lesson 11; rubric (TG p183) for Lesson 14

Reinforcement: Revise data handling process Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges, engaging in complicated issues

Teacher reflection:

21


Chapter 14: Probability Learning Areas: Maths Grade: 8 Duration: 5 hours Weeks: 31 Learning Outcome Assessment Standards Integration LO5: Data handling

Performs simple experiments Considers a simple situation

Technology LO1 Economic and Management Sciences LO3

Content / Knowledge: • Perform simple experiments, collect data • Consider a simple situation to be described with probability • List outcomes • Determine the probability • Find relative frequency • Compare relative frequency • Predict outcomes

Learning activities Teaching methods/approach Resources Lesson 1: Probability LB p242

Activity 1: Describing the chances of something happening TG p185

Lesson 2: The probability scale LB p243

Teach probability TG p185

Lesson 3: Determining probability LB p244 Probability based on reasoning LB p244 Probability based on investigation LB p244 Calculating probability LB p244

Activity 2a: Investigating the results of tossing a coin TG p186 Activity 2b: Investigating the results of tossing two coins TG p187



Maths Today Grade 8 Learner's Book and Teacher's Guide Coins

Assessment: Types of assessment: Formal assessment for Lessons 2 and 4 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO5 for Lesson 2; rubric (TG p188) for Lesson 4

Reinforcement: Extra examples of the new concepts introduced Expanded opportunities: Examples in higher order thinking e.g. Lotto

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

22

RU

BR

IC 2

: MA

THEM

ATI

CS

Le

arni

ng O

utco

me

1: N

umbe

rs, O

pera

tions

and

Rel

atio

nshi

ps: A

pplic

atio

ns o

f num

bers

to p

robl

ems

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

exce

llent

ly

solv

e pr

oble

ms

invo

lvin

g nu

mbe

rs a

nd

is c

orre

ct

alm

ost a

ll of

th

e tim

e,

exce

edin

g ex

pect

ed

requ

irem

ents

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

23

RU

BR

IC 3

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 1:

Num

bers

, Ope

ratio

ns a

nd R

elat

ions

hips

: Cal

cula

tion

type

s in

volv

ing

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

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

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

ef

ficie

ntly

and

with

co

nfid

ence

, ex

ceed

ing

the

requ

irem

ents

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

24

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

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 u

se a

rang

e of

pr

oper

ties

of

num

bers

exc

elle

ntly

an

d w

ith c

onfid

ence

in

ord

er 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

25

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

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

ext

end

patte

rns

exce

llent

ly

and

desc

ribe,

ex

plai

n 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,

exce

edin

g ex

pect

ed

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

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

uns

atis

fact

orily

ex

tend

pat

tern

s,

does

not

mee

t re

quire

men

ts

26

RU

BR

IC 2

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 2:

Pat

tern

s, F

unct

ions

and

Alg

ebra

: Equ

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

S

olve

s eq

uatio

ns

(num

ber s

ente

nces

) ex

celle

ntly

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,

ex

ceed

ing

expe

cted

re

quire

men

ts

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

27

RU

BR

IC 3

: MA

THEM

ATI

CS

Le

arni

ng O

utco

me

2: P

atte

rns,

Fun

ctio

ns a

nd A

lgeb

ra: G

raph

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

Con

fiden

tly

cons

truct

s an

d in

terp

rets

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

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

that

re

pres

ent,

desc

ribe

and

prov

ide

solu

tions

to

prob

lem

s

unsa

tisfa

ctor

y at

tem

pts

to a

nsw

er

ques

tions

on

mat

hem

atic

al

mod

els

that

re

pres

ent,

desc

ribe

and

prov

ide

solu

tions

to

prob

lem

situ

atio

ns

28

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

29

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)

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

U

ses

conv

entio

ns

of a

lgeb

ra

exce

llent

ly a

nd

corr

ectly

and

is

alm

ost a

lway

s co

rrect

whi

le

exce

edin

g ex

pect

ed

requ

irem

ents

Use

s co

nven

tions

of

alg

ebra

wel

l and

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

Use

s co

nven

tions

of

alg

ebra

fairl

y co

rrec

tly m

ost o

f th

e tim

e

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,

requ

irem

ents

not

m

et

30

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: Sha

pes

and

Obj

ects

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

na

me,

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

be

yond

thos

e sp

ecifi

ed fo

r thi

s gr

ade,

exc

eedi

ng

expe

cted

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 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

sha

pes

and

know

s so

me

of

the

prop

ertie

s of

2-

D s

hape

s an

d

3-D

obj

ects

in a

gi

ven

posi

tion

in a

n el

emen

tary

way

se

ldom

sat

isfy

ing

the

requ

irem

ents

Can

not n

ame

som

e 2-

Dan

d 3-

D s

hape

s an

d so

me

of th

e pr

oper

ties

of

2-D

sha

pes

and

3-

D o

bjec

ts in

a

give

n po

sitio

n, d

oes

not m

eet

requ

irem

ents

31

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.

S

olve

s pr

oble

ms

invo

lvin

g nu

mbe

rs

and

is c

orre

ct m

ost

of th

e tim

e,

mee

ting

all t

he

requ

irem

ents

and

w

orki

ng o

n a

good

le

vel

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.

S

olve

s pr

oble

ms

invo

lvin

g nu

mbe

rs

and

is c

orre

ct m

ost

of th

e tim

e, m

eetin

g m

ost o

f the

re

quire

men

ts

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.

Can

det

erm

ine

outp

ut v

alue

s fo

r gi

ven

inpu

t val

ues.

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.

Can

not d

eter

min

e ou

tput

val

ues

for

give

n in

put v

alue

s.

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

32

RU

BR

IC 3

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: Pos

ition

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

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 fro

m a

gr

aph

and

draw

s ex

celle

nt a

nd

appr

opria

te g

raph

s fo

r a g

iven

si

tuat

ion,

exc

eedi

ng

the

requ

irem

ents

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 fro

m a

gr

aph

and

draw

s ve

ry g

ood

appr

opria

te g

raph

s fo

r a g

iven

situ

atio

n m

eetin

g al

l the

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

from

a g

raph

mos

t of

the

time

and

draw

s ap

prop

riate

gr

aphs

for a

giv

en

situ

atio

n an

d w

ith

conf

iden

ce a

nd is

co

rrect

mos

t of t

he

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

from

a g

raph

som

e of

the

time

and

draw

s gr

aphs

A fa

ir ac

hiev

emen

t m

eetin

g an

d ad

equa

te p

ortio

n of

th

e re

quire

men

ts

met

Can

loca

te p

ositi

on

and/

or tr

ace

a pa

th

on a

grid

. Cor

rect

ly

an a

nsw

er

ques

tions

from

a

grap

h so

me

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 fr

om a

gr

aph.

Is s

eldo

m

corre

ct

Can

not l

ocat

e po

sitio

n on

a g

rid.

Ans

wer

s qu

estio

ns

from

a g

raph

U

nsat

isfa

ctor

y

atte

mpt

s,

Req

uire

men

ts n

ot

met

33

RU

BR

IC 4

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 3:

Spa

ce a

nd S

hape

: Str

aigh

t Lin

e G

eom

etry

(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. C

an

(for t

he s

ame

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, e

xcee

ding

ex

pect

ed

requ

irem

ents

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

corre

ct. 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

rrec

tly. 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

just

el

emen

tary

at

tem

pts

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

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

, re

quire

men

ts n

ot

met

34

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

35

RU

BR

IC 1

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 5:

Dat

a ha

ndlin

g: C

olle

ctin

g an

d O

rgan

isin

g 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

and

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

36

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

Dat

a

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 se

nsiti

ve to

the

role

of

the

situ

atio

n,

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

gr

aphs

and

/or

answ

er q

uest

ions

ba

sed

on g

iven

da

ta C

anno

t de

term

ine

outp

ut

valu

es fo

r giv

en

inpu

t val

ues,

re

quire

men

ts n

ot

met

37

RU

BR

IC 3

: MA

THEM

ATI

CS

Lear

ning

Out

com

e 5:

Dat

a ha

ndlin

g: P

roba

bilit

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

Can

exc

elle

ntly

list

al

l pos

sibl

e 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,

exce

edin

g th

e re

quire

men

ts

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 an

even

t and

/or

dete

rmin

e/pr

edic

t re

lativ

e fre

quen

cy o

f ou

tcom

es fo

r sim

ple

expe

rimen

ts. A

m

oder

ate

achi

evem

ent

parti

ally

sat

isfy

ing

the

requ

irem

ents

Mak

es a

ttem

pts

to

list p

ossi

ble

outc

omes

for e

vent

s an

d is

sel

dom

co

rrect

Can

not l

ist p

ossi

ble

outc

omes

for

even

ts,

Req

uire

men

ts n

ot

met

38

senior phase – grade 8 - pearson...

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