senior phase – grade 7 - pearson...

M780636110168

Senior Phase – Grade 7

Today Planning Pack

MATHEMATICS

Contents:

Work Schedule: Page

Grade 7 …………………………………………………………… 2

Lesson Plans:

Grade 7 …………………………………………………………… 4

Rubrics:

LO1 Rubric 1: Recognising, classifying and representing numbers………. 18 LO1 Rubric 2: Applications of numbers to problems………………………….19 LO1 Rubric 3: Calculations types involving numbers…………………………20 LO1 Rubric 4: Properties of numbers…………………………………………...21 LO2 Rubric 1: Pattern…………………………………………………………….22 LO2 Rubric 2: Equations…………………………………………………………23 LO2 Rubric 3: Graphs…………………………………………………………….24 LO2 Rubric 4: Equivalent representations……………………………………..25 LO3 Rubric 1: Shapes and objects…………………………………………….. 26 LO3 Rubric 2: Transformations, congruence and similarity…………………..27 LO3 Rubric 3: Position…………………………………………………………… 28

LO4 Rubric 1: Measurement……………………………………………………..29 LO5 Rubric 1: Collecting and organising data………………………………….30 LO5 Rubric 2: Representing and interpreting data…………………………….31 LO5 Rubric 3: Probability…………………………………………………………32

2

Work schedule for Maths Today – Grade 7 Term Week LOs & ASs Chapter Assessment Resources

1 1-3 LO 1:

Numbers, operations and relationships

Chapter 1: Integers

Informal and formal assessment

Maths Today Grade 7 Learner's Book and Teacher's Guide Stationery, number chart, number lines,number cards Calculator for checking answers Access to Maths computer software for consolidation Weather charts in newspapers Radio and TV weather reports

1 4-6 LO 1: Numbers, operations

Chapter 2: Computation with integers


Maths Today Grade 7 Learner's Book and Teacher's Guide Number lines, number cards, Calculator for checking answers Access to Maths computer software for consolidation

1 7-8 LO 1: Numbers, operations and relationships

Chapter 3: Common fractions


Maths Today Grade 7 Learner's Book and Teacher's Guide Concrete apparatus, fraction wall, fraction diagrams, wall charts Access to Maths computer software for consolidation

1 9 LO 1: Numbers, operations and relationships

Chapter 4: Decimal fractions


Maths Today Grade 7 Learner's Book and Teacher's Guide Wall charts, number cards, calculator for checking answers, place value table Access to Maths computer software for consolidation


Chapter 4: Decimal fractions


Maths Today Grade 7 Learner's Book and Teacher's Guide Wall charts, number cards, calculator for checking answers, place value table Access to Maths computer software for consolidation


Chapter 5: Percentages


Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers, accounts from shops, flyers from shops, newspaper catalogues Access to Maths computer software for consolidation

2 13-14 LO 4: Measurement

Chapter 11: Measurement in daily life


Maths Today Grade 7 Learner's Book and Teacher's Guide Enough instruments to measure, calculator for checking answers Access to Maths computer software for consolidation

2 15-16 LO 2: Patterns, functions and algebra

Chapter 6: Number patterns


Maths Today Grade 7 Learner's Book and Teacher's Guide Concrete objects to demonstrate, pattern charts, flow diagram charts, concrete counters e.g. matches, calculator for checking answers Access to Maths computer software for consolidation

3

2 17 LO 3: Space

and shape LO 4: Measurement

Chapter 8: Geometric figures


Maths Today Grade 7 Learner's Book and Teacher's Guide Protractor Calculator for checking answers Access to Maths computer software for consolidation


Chapter 14: Number systems

Informal and formal assessment Test

Maths Today Grade 7 Learner's Book and Teacher's Guide Library books for reference Access to Internet Access to Maths computer software for consolidation

3 19-20 LO 3: Space and shape LO 4: Measurement

Chapter 8: Geometric figures



3 20, 21 & 22

LO 3: Space and shape

Chapter 9: Transformation of geometric figures, similar figures and congruent figures


Maths Today Grade 7 Learner's Book and Teacher's Guide Paper, scissors, Prestik Access to Maths computer software for consolidation

3 23, 24 & 25

LO 3: Space and shape LO 4: Measurement

Chapter 10: Geometric solids


Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers, paper, light carton, scissors, plastic polyhedra, rulers, constructed polyhedra to sketch views Access to Maths computer software for consolidation


Chapter 12: Consumer maths


Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers, newspapers, examples of variety of bills, bank statements, travel magazines, business magazines, tables of taxi fares Access to Maths computer software for consolidation

4 28-29 LO 5: Data handling

Chapter 13: Managing data


Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers, newspapers Access to Maths computer software for consolidation Dice, coins

4 30-31 LO 1: Numbers, operations and relationships LO 2: Patterns, functions and algebra

Chapter 14: Graphs

Informal and formal assessment Test

Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers, access to computer lab, variety of graphs from magazines and newspapers Access to Maths computer software for consolidation

Note: You need to complete 3 formal assessment tasks per term for Maths in Grade 7. This work schedule shows all the opportunities for formal assessment

LESSON PLANS – Grade 7

Chapter 1: Integers Learning Areas: Maths Grade: 7 Duration: 15 hours Weeks: 1 – 3 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Counts forwards and backwards Recognises, classifies and represents integers Recognises, classifies and represents factors Recognises, classifies and represents numbers Performs mental calculations involving squares of natural numbers

Natural Sciences LO1 Social Sciences LO1

Content/ Knowledge: • Counting in decimals and integers – any intervals • Recognises, classifies and represents: integers, factors, numbers in exponential form, squares, cubes,

square and cube roots Learning activities Teaching methods/approach Resources Lesson 1: Place value LB p1 Counting LB p2

Activity 1a: Place value and counting TG p41 Activity 1b: Counting TG p42

Lesson 2: Multiples of natural numbers LB p3

Activity 1c: Multiples of natural numbers TG p42 Activity 1d: Common multiples TG 42

Lesson 3: Prime numbers and composite numbers LB p4

Activity 1e: Prime and composite numbers TG p42

Lesson 4: Factors of integers LB p6

Activity 2a: Factors TG p43 Activity 2b: Prime factors TG p43

Lesson 5: Lowest common multiple (LCM) LB p9

Activity 2c: Factors and LCM TG p43

Lesson 6: Squares and square roots LB p10 Cubes and cube roots LB p12

Activity 3a: Squares TG p44 Activity 3b: Square roots TG p44 Activity 4: Cubes and cube roots TG p44

Lesson 7: Numbers in exponential form LB p13

Activity 5: Exponential form TG p44

Lesson 8: Negative numbers LB p15

Activity 6: Temperature and negative numbers TG p45 Activity 7a: Number lines TG p45 Activity 7b: Addition with negative numbers TG p45 Activity 7c: Multiplication by negative numbers TG p45

Lesson 9: Assessment LB p23

Assignment TG p52

Maths Today Grade 7 Learner's Book and Teacher's Guide Number chart Number lines Number cards Calculator for checking answers Access to Maths computer software for consolidation Weather charts in newspapers Radio and TV weather reports

Assessment: Type of assessment: Formal assessment for Lessons 1 and 9

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

Form of assessment: Rubric 2 LO1 for Lesson 1; rubric (LB p52) for Lesson 9

Reinforcement: Revision and consolidation of LOs from previous grades Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

4


Chapter 2: Computation with integers Learning Areas: Maths Grade: 7 Duration: 15 hours Weeks: 4 – 6 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Solves problems in context Estimates and calculates Performs mental calculations Uses a range of techniques to perform calculations Uses a calculator Uses a range of strategies to check solutions Recognises, describes and uses algorithms for finding equivalent fractions

Natural Sciences LO1, 2 Social Sciences (Geography) LO1

Content/ Knowledge: • Estimation, rounding off, mental calculations • Use computational methods • Problem solving • Check and judge answers • Multiple operations with negative integers • Calculations with exponents

Learning activities Teaching methods/approach Resources Lesson 1: Computing methods LB p27

Baseline assessment TG p53 Activity 1a: Mental arithmetic TG p54 Activity 1b: Estimating answers TG p54 Activity 2a: Pen-and-paper methods TG 55 Activity 2b: Multiplication and division TG p55 Activity 2c: Longer calculations TG p55

Lesson 2: Multiple operations LB p35

Activity 2d: Multiplication and division and brackets TG p56

Lesson 3: Computing instructions involving + or – and X or ÷ LB p36

Activity 2e: Order of computing instructions TG p56

Lesson 4: Word problems LB p38

The 4 Steps in problem-solving TG p57


Assessment TG p57 Assessment activity Memo TG p60

Maths Today Grade 7 Learner's Book and Teacher's Guide Number lines Number cards Calculator for checking answers Access to Maths computer software for consolidation

Assessment: Type of assessment: Formal assessment for Lessons 1, 2 and 9 Informal assessment: All other activities can be used for informal assessment

Form of assessment:

Rubric (LB p41) for Lesson 1

Rubric 3 LO1 for Lesson 2

Memo (TG p60) for Lesson 5

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

5


Chapter 3: Common fractions Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 7 – 8 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents common fractions Recognises and uses equivalent forms of common fractions Solves problems in context Solves problems that involve ratio and rate Estimates and calculates Uses a range of techniques to perform calculations Recognises, describes and uses algorithms

Natural Sciences LO1, 2 Technology LO1

Content/ Knowledge: • Different notations of fractions • Do calculations with fractions • Use equivalent fractions • Calculate fraction of a whole

Learning activities Teaching methods/approach Resources Lesson 1: Different meanings of a common fraction LB p43

Baseline assessment TG p61 Discuss 3 different meanings of common fractions TG p62

Lesson 2: Proper fractions, improper fractions and mixed numbers LB p44

Activity 1: Common fractions and mixed numbers TG p62

Lesson 3: A fraction of a whole or a group LB p46

Activity 2: Calculate fractions TG p62

Lesson 4: Equivalent fractions LB p49

Activity 3a: Equivalent fractions TG p63

Lesson 5: Comparing fractions LB p50

Activity 3b: Comparing fractions TG p63

Lesson 6: Addition and subtraction of fractions LB p51

Activity 4a: Adding and subtracting fractions TG p63 Activity 4b: Adding and subtracting fractions and mixed numbers TG p64

Lesson 7: Multiplication of fractions LB p54 Multiplication of 2 fractions: a rule LB p55

Activity 5: Multiplication of fractions TG p64

Lesson 8: Multiplying by mixed numbers LB p56

Activity 6: Multiplying fractions and mixed numbers TG p64


Assessment activity Memo TG p65

Maths Today Grade 7 Learner's Book and Teacher's Guide Concrete apparatus Fraction wall Fraction diagrams Wall charts Access to Maths computer software for consolidation

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 p65) for Lesson 9

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use different algorithms Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced Working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

6


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

Counts forwards and backwards in decimal intervals Recognises, classifies and represents decimals Recognises and uses equivalent forms of decimals Solves problems in context Estimates and calculates by selecting and using operations Uses a range of techniques to perform calculations Recognises, describes and uses the commutative, associative and distributive properties with rational numbers and zero Uses a range of strategies to check solutions

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

Content/ Knowledge: • Convert fractions to decimals • Count in decimal intervals • Recognise, classify and represent decimals • Add, subtract decimals, divide decimals, solve problems • Estimation, rounding off, mental calculations, check and judge answers

Learning activities Teaching methods/approach Resources Lesson 1: Counting forward and backwards LB p62

Baseline assessment TG p71 Activity1: Counting decimal numbers TG p71

Lesson 2: Equivalent forms of rational numbers LB p63

Activity 2: Practise number skills TG p71

Lesson 3: Rounding off numbers LB p65

Activity 3: Rounding off numbers TG p72

Lesson 4: Addition and subtraction with decimal fractions LB p67

Activity 4: Adding and subtracting decimal fractions TG p72

Lesson 5: Problem solving with decimal fractions LB p68

Solve problems TG p72

Lesson 6: Multiplication and division LB p70

Activity 5a: Multiplying and dividing decimal fractions TG p72 Activity 5b: Calculating decimal fractions TG p73

Lesson 7: Multiplication of two decimal numbers LB p72

Activity 6: Calculations with two decimal numbers TG p73

Lesson 8: Checking calculator answers LB p74

Activity 7: Estimate, then calculate TG p73

Lesson 9: Word problems with decimal fractions LB p75

Solving word problems TG p74



Maths Today Grade 7 Learner's Book and Teacher's Guide Wall charts Number cards Calculator for checking answers Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 4 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO 1 for Lesson 4; memo (TG p74) for Lesson 10

Reinforcement: Use a variety of examples from different sources Use different algorithms Use money to explain in context Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

7


Chapter 5: Percentages Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 11 – 12 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Recognises, classifies and represents percentages Recognises and uses equivalent forms of percentages Solves problems in context Estimates and calculates by selecting and using operations Uses a range of techniques to perform calculations Recognises, describes and uses the commutative, associative and distributive properties with positive rational numbers and zero Uses a range of techniques to check solutions

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

Content / Knowledge: • Write common fractions and decimals as percentages • Write percentages as common fractions and decimals • Express one quantity as percentage of another • Calculate VAT • Solve problems involving discount, simple interest, profit, loss • Mental calculations • Use computational methods • Check and judge answers

Learning activities Teaching methods/approach Resources Lesson 1: What is percentage and how do we write it? LB p79

Baseline assessment TG p81 Activity 1: Fractions and percentage TG p81

Lesson 2: One quantity as a percentage of another LB p81

Activity 2: Using percentage to compare quantities TG p81

Lesson 3: Calculating a quantity if the percentage is known LB p83

Activity 3: Using percentage to calculate quantity TG p82

Lesson 4: Discount on purchases LB p85

Activity 4: Percentage discount TG p82

Lesson 5: VAT LB p87 Activity 5: Calculating VAT TG p82 Lesson 6: Profit and loss LB p89

Activity 6: Profit and loss TG 83



Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers Accounts from shops Flyers from shops Newspapers Catalogues Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 1, 4 and 7 Informal assessment: all other activities can be used for informal assessment Form of assessment: Memo (TG p81) for Lesson 1; rubric (TG p86) for Lesson 4; memo (TG p83) for Lesson 7

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use different algorithms Use problem solving in context to demonstrate Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

8


Chapter 6: Number patterns Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 15 – 16 Learning Outcome Assessment Standards Integration LO1: Numbers, Operations and Relationships

Solves problems involving ratio and rate

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 variables Constructs mathematical models Solves or completes number sentences Determines, analyses and interprets the equivalence of different descriptions

Natural Sciences LO1 Technology LO2 Economic and Management Sciences LO3

Content / Knowledge: • Identify number patterns • Identify rules for patterns • Determine relationships in number sequences • Describe patterns in own words • Determine value of missing numbers • Extend patterns

Learning activities Teaching methods/approach Resources Lesson 1: Number sequences LB p94

Baseline assessment TG p89 Activity 1: Finding number patterns TG p89

Lesson 2: Number patterns around us LB 101

Activity 2: Everyday number patterns TG p90



Maths Today Grade 7 Learner's Book and Teacher's Guide Concrete objects to demonstrate Pattern charts Flow diagram charts Concrete counters e.g. matches Calculator for checking answers Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 1 and 3 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO1 for Lesson 1; memo (TG p91) for Lesson 3

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Explore a wide variety of patterns in increasing levels of difficulty Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher Reflection:

9


Chapter 7: Graphs Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 30 – 31 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Solves problems that involve ratio and rate

LO2: Patterns, functions and algebra

Constructs mathematical models Describes a situation by interpreting a graph

Natural Sciences LO1 Technology LO1 Economic and Management Sciences LO3

Content / Knowledge: • Interpret graphs, describing graph’s content • Draw own graphs • Understand equivalent descriptions of situation • Problem solving

Learning activities Teaching methods/approach Resources Lesson 1: Data maps LB p111 Lesson 2: Graphical representations LB p112

Activity 1: Using graphs to show relationships TG p99 Activity 2: Using graphs to solve problems TG p99



Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers Access to computer lab Variety of graphs from magazines and newspapers Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment Lesson 2 and 3 Informal assessment: all other activities can be used for informal assessment Form of assessment: LO2 Rubric 3 for Lesson 2; memo (TG p100) for Lesson 3

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Expanded opportunities: Extra examples of new concepts introduced Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

10


Chapter 8: Geometric figures Learning Areas: Maths Grade: 7 Duration: 5 hours Week: 17 Learning Outcome Assessment Standards Integration LO3: Space and shape

Recognises, visualises and names geometric figures and solids Describes and classifies geometric figures in terms of properties Uses a pair of compasses, ruler and protractor Classifies angles into acute, right, obtuse, straight, reflex or revolution Estimates, compares, measures and draws angles

LO4: Measurement

Solves problems Calculates by selecting and using appropriate formulae Solves problems using a range of strategies Describes interrelationships between perimeter and area

Technology LO1 Arts & Culture LO1

Content / Knowledge: • Identify and describe symmetric figures • Classify angles • Estimate, compare, measure, draw angles • Describe and classify geometric figures • Determine perimeter • Interrelationships between perimeter and area • Construct geometric figures • Solve problems

Learning activities Teaching methods/approach Resources Lesson 1: Symmetry LB p123 Baseline assessment TG p105

Activity 1a: Exploring symmetry TG p105 Lesson 2: Types of line LB p124

Types of line TG p106

Lesson 3: Angles LB p126 Activity 1b: Estimate, then measure angles TG p106 Lesson 4: Perimeter of polygons LB p130

Activity 2: Perimeter of polygons TG p107

Lesson 5: Classification of polygons LB p132

Activity 3a: Measuring pentagons TG p107 Activity 3b: Measuring and classifying triangles TG p107

Lesson 6: Classification of quadrilaterals LB p134

Activity 4a: Measuring and classifying quadrilaterals TG p108 Activity 4b: Trapeziums and kites TG p108

Lesson 7: Area of rectangles and squares LB p140

Activity 5: Area of rectangles and squares TG p108

Lesson 8: Area of triangles LB p142

Activity 6: Area of triangles TG p108

Lesson 9: Measuring larger areas LB p145

Activity 7: Measuring larger areas TG p109





Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

11


Chapter 9: Transformation of geometric figures: similar and congruent figures Learning Areas: Maths Grade: 7 Duration: 15 hours Weeks: 20 – 22 Learning Outcome Assessment Standards Integration LO3: Space and shape

Uses transformations and symmetry Recognises and describes the properties of similar and congruent figures and the difference between them Locates positions on co-ordinate systems and maps

Social Sciences (Geography) LO2

Content / Knowledge: • Perform transformations • Investigate properties of geometric figures • Recognise, describe properties of similar figures • Locate position • Horizontal and vertical change

Learning activities Teaching methods/approach Resources Lesson 1: Transformations LB p149

Baseline assessment TG p117 Translation, reflection and rotation TG pp118 – 119 Activity 1: Practise of transformations TG p120

Lesson 2: Similar figures LB p156

Activity 2a: Identifying similar figures TG p120 Activity 2b: Investigating similar figures TG p120

Lesson 3: Enlargements LB p159

Activity 2c: Enlargements TG p121

Lesson 4: Congruent figures LB p162

Activity 3: Investigating congruency TG p121



Maths Today Grade 7 Learner's Book and Teacher's Guide Workbooks Paper Scissors Prestik Maps Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 4 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: LO2 Rubric 2 for Lesson 4; memo (TG p122) for Lesson 5

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

12


Chapter 10: Geometric solids Learning Areas: Maths Grade: 7 Duration: 15 hours Weeks: 23 – 25 Learning Outcome Assessment Standards Integration LO3: Space and shape

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

LO4: Measurement Solves problems involving the volume and surface area Solves problems using a range of strategies Calculates Describes the interrelationships

Technology LO1 Arts & Culture LO1

Content / Knowledge: • Classify geometric solids • Identify similarities and differences in polyhedra • Design and use nets • Make models • Determine volume, determine capacity • Converts units of volume • Solve problems in volume

Learning activities Teaching methods/approach Resources Lesson 1: Polyhedra LB p169

Baseline assessment TG p125 Activity 1: Drawing and naming different polyhedra TG p127 Activity 2: Measuring polyhedra TG p127 Activity 3: Identifying properties of polyhedra TG p127 Activity 4: Classifying polyhedra TG p128 Activity 5a: Investigating nets TG p128 Activity 5b: Design a box TG p128 Activity 5c: Looking at die TG p128 Activity 6: Isometric views of polyhedra TG p129 Activity 7: Other views of polyhedra TG p129

Lesson 2: Volume and capacity LB p180

Activity 8a: Volume of rectangular prisms TG p130 Activity 8b: Volume of triangular prisms TG p130

Lesson 3: Relationship between surface area and volume LB p184

Activity 9: Relationship between surface area and volume TG p130



Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers Paper Light carton Scissors Plastic polyhedra Rulers Constructed polyhedra to sketch views Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 1 and 4 Informal assessment: All other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 1; memo (TG p134) for Lesson 4

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

13


Chapter 11: Measurement in daily life Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 13 – 14 Learning Outcome Assessment Standards Integration LO4: Measurement

Solves problems involving time Solves problems involving length and distance Describes ways of measuring in different cultures and history Solve problems using different strategies

Natural Sciences LO1 Technology LO2

Content / Knowledge: • Describe units of length, volume, mass • Explain use of standards • Convert between units • Solve problems • Estimation, mental calculations • Use computational methods • Check and judge answers

Learning activities Teaching methods/approach Resources Lesson 1: Measurement in your personal life LB p189

Activity 1a: Everyday measurement TG p136

Lesson 2: Measurement in early times LB p189

Activity 1b: Measurement in early times TG p137

Lesson 3: Units of measurement used today LB p192

Activity 2: Units of measurement TG p137

Lesson 4: Measurement in sport LB p194

Activity 3a: Measurement in sport TG p137 Activity 3b: Making a trundle wheel TG p138

Lesson 5: Measuring time LB p197

Activity 4a: Measuring time TG 138 Activity 4b: Making a sundial TG p138 Activity 5: Measuring time in sport TG p139



Maths Today Grade 7 Learner's Book and Teacher's Guide Instruments to measure Calculator for checking answers Access to Maths computer software for consolidation


Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use different algorithms Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

14


Chapter 12: Consumer maths Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 26 – 27 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Solves problems in context Estimates and calculates by selecting and using operations appropriate to solving problems Uses a range of techniques to perform calculations Uses a range of techniques to check solutions

Economic and Management Sciences LO3 Technology LO3 Life Orientation LO1 Languages LO1

Content / Knowledge: • Read and understand accounts • Read and understand receipts • Understand hire purchase • Repayment of finances • Understand loans • Understand interest • Draw up budgets • Calculate travel costs • Calculate exchange rates

Learning activities Teaching methods/approach Resources Lesson 1: Understanding bills LB p207

Activity 1a: Understanding electricity bills TG p144 Activity 1b: Understanding water bills TG p144

Lesson 2: How to pay for expensive items LB p210

Activity 2: Buying a microwave oven TG p144

Lesson 3: Drawing up a personal budget LB p212

Activity 3: Studying a family’s budget TG p145

Lesson 4: Cost of transportation LB p214

Activity 4: Investigating transportation costs TG p145

Lesson 5: Exchange rates LB p215

Activity 5: Calculating exchange rates TG p146

Lesson 6: Assessment LB p218 Investigation LB p219


Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers Newspapers Examples of variety of bills Bank statements Travel magazines Business magazines Tables with taxi fares Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 5 and 6 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO1 for Lesson 5; memos (TG p146) for Lesson 6

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use different algorithms Use of problem solving in context – various levels of difficulty Examples in lower number ranges Use of concrete apparatus Expanded opportunities: Extra examples of new concepts introduced, working in high number ranges Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

15


Chapter 13: Managing data Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 28 – 29 Learning Outcome Assessment Standards Integration LO5: Data handling

Poses questions Selects appropriate sources for the collection of data Uses simple questionnaires Distinguishes between samples and populations Organises and records data using tallies, tables and stem-and-leaf displays Summarises ungrouped numerical data Identifies the largest and smallest scores Draws a variety of graphs by hand or using technology Critically reads and interprets data Performs simple experiments

Languages LO5 Social Sciences (Geography) LO3 Life Orientation LO1

Content / Knowledge: • Read and interpret data • Design a survey/questionnaire • Collect data • Use bar graphs • Use pie charts • Understand mean and range • Understand probability

Learning activities Teaching methods/approach Resources Lesson 1: Reading and interpreting data LB p221

Activity 1a: Reading and interpreting data TG p152

Lesson 2: Questionnaires LB p223

Activity 1b: Collecting data TG p152

Lesson 3: Organising data LB p224

Organising data TG p153

Lesson 4: Stem-and-leaf display LB p225

Activity 2: Stem-and-leaf display TG p153

Lesson 5: Presentation of data LB p227

Activity 3: Studying bar graphs TG p153 Activity 4: Histograms TG p153 Activity 5: Interpreting pie charts TG p154

Lesson 6: Arithmetic mean and range LB p233

Activity 6: Calculating mean and range TG p154

Lesson 7: Probability LB p234 Activity 7a: How likely is it? TG p155 Activity 7b: Fun with probability TG p155 Activity 8: Rolling a die TG p156



Maths Today Grade 7 Learner's Book and Teacher's Guide Calculator for checking answers Newspapers Access to Maths computer software for consolidation Dice, coins

Assessment: Types of assessment: Formal assessment for Lessons 2, 5 and 8 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO5 for Lesson 2; rubric 2 LO5 for Lesson 5; memo (TG p156) for Lesson 8

Reinforcement: Revision and consolidation of LOs from previous grades Use a variety of examples from different sources Use of context based problems Expanded opportunities: Extra examples of new concepts introduced Examples from Olympiad Test Papers, e.g. AMESA Bonus questions when assessing Variety of Maths games

Teacher reflection:

16

17


Chapter 14: Number systems Learning Areas: Maths Grade: 7 Duration: 5 hours Week: 18 Learning Outcome Assessment Standards Integration LO1: Numbers, operations and relationships

Describes and illustrates the historical and cultural development of numbers Social Sciences (History) LO1

Content / Knowledge: • Facts about the development of number systems • Role of place value • Understand different number systems and base numbers • Count in different systems • Convert numbers between bases

Learning activities Teaching methods/approach Resources Lesson 1: Number systems from around the world LB p240

Activity 1a: Converting bases of numbers TG p164 Activity 1b: Work with Mayan numbers TG p165 Activity 1c: Representing numbers on a quipu TG p165 Activity 1d: Babylonian numbers TG p165 Activity 1e: Hieroglyphs TG p165 Activity 1f: Place value TG p166



Maths Today Grade 7 Learner's Book and Teacher's Guide Library books for reference Access to Internet Access to Maths computer software for consolidation

Assessment: Types of assessment: Formal assessment for Lessons 1 and 2 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 1 LO1 for Lesson 1; memo (TG p166) for Lesson 2

Reinforcement: Use a variety of examples from different sources Expanded opportunities: Extra examples

Teacher reflection:

R

UB

RIC

1: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

1: N

umbe

rs, O

pera

tions

and

Rel

atio

nshi

ps: R

ecog

nisi

ng, c

lass

ifyin

g an

d re

pres

entin

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

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 in

mor

e th

an o

ne w

ay to

a

very

hig

h le

vel,

exce

edin

g ex

pect

ed

requ

irem

ents

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

18

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

ions

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

exc

elle

ntly

so

lve

prob

lem

s in

volv

ing

num

bers

and

is

corre

ct a

lmos

t all

of th

e tim

e,

exce

edin

g ex

pect

ed

requ

irem

ents

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

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

th

e re

quire

men

ts in

so

lvin

g pr

oble

ms

invo

lvin

g nu

mbe

rs

and

is s

omet

imes

co

rrect

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 s

olve

pr

oble

ms

invo

lvin

g nu

mbe

rs a

nd is

se

ldom

cor

rect

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

. R

equi

rem

ents

not

m

et

19

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

Ac

tivity

:

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

atte

mpt

s to

es

timat

e an

d ca

lcul

ate

and

perfo

rm m

enta

l ca

lcul

atio

ns fo

r the

as

sess

men

t st

anda

rds

for t

his

grad

e an

d is

se

ldom

cor

rect

. re

quire

men

ts n

ot

met

R

UB

RIC

4: M

ATH

EMA

TIC

S Le

arni

ng O

utco

me

1: N

umbe

rs, O

pera

tions

and

Rel

atio

nshi

ps: P

rope

rtie

s of

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

use

a ra

nge

of

prop

ertie

s of

nu

mbe

rs e

xcel

lent

ly

and

with

con

fiden

ce

in o

rder

to s

impl

ify

calc

ulat

ions

, ex

ceed

ing

expe

cted

re

quire

men

ts

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

tisfie

s th

e re

quire

men

ts

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

21

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

not e

xten

d pa

ttern

s. D

oes

not

mee

t req

uire

men

ts

22

R

UB

RIC

2: M

ATH

EMA

TIC

SLe

arni

ng O

utco

me

2: P

atte

rns,

Fun

ctio

ns a

nd A

lgeb

ra: E

quat

ions

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

23

R

UB

RIC

3: M

ATH

EMA

TIC

S

Lear

ning

Out

com

e 2:

Pat

tern

s, F

unct

ions

and

Alg

ebra

: Gra

ph

Ac

tivity

: 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

d pr

ovid

e so

lutio

ns to

pr

oble

m s

ituat

ions

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

d pr

ovid

e so

lutio

ns to

pr

oble

m s

ituat

ions

Can

mos

tly

cons

truct

and

in

terp

ret

mat

hem

atic

al

mod

els

that

re

pres

ent,

desc

ribe

and

prov

ide

solu

tions

to

prob

lem

situ

atio

ns

A fa

ir ac

hiev

emen

t in

con

stru

ctin

g an

d in

terp

retin

g

Cor

rect

ly a

nsw

ers

ques

tion

abou

t a

situ

atio

n fro

m a

gr

aph

of th

e 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

Par

tly a

nsw

ers

ques

tions

on

inte

rpre

ting

mat

hem

atic

al

mod

els

Uns

atis

fact

ory

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

24

RU

BR

IC 4

: MA

THEM

ATI

CS

Le

arni

ng O

utco

me

2: P

atte

rns,

Fun

ctio

ns a

nd A

lgeb

ra: E

quiv

alen

t rep

rese

ntat

ion

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

mos

t of t

he

requ

irem

ents

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

Act

ivity

: N

ame:

Dat

e:

Gra

de:

25

R

UB

RIC

1: M

ATH

EMA

TIC

S

Le

arni

ng O

utco

me

3: S

pace

and

Sha

pe: S

hape

s an

d ob

ject

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

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

som

e 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

an

d se

ldom

sa

tisfie

s 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 o

bjec

ts in

a

give

n po

sitio

n.

Doe

s no

t mee

t re

quire

men

ts

26

R

UB

RIC

2: M

ATH

EMA

TIC

S

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.

Exce

llent

ly c

orre

ct

alm

ost a

ll of

the

time,

exc

eedi

ng

expe

cted

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

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

Uns

atis

fact

ory

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

. R

equi

rem

ents

not

m

et

27

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 abo

ut a

si

tuat

ion

from

a

grap

h of

a s

ituat

ion

and

draw

s ex

celle

nt

and

appr

opria

te

grap

hs 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 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

er q

uest

ions

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

and

is

seld

om c

orre

ct

Can

not l

ocat

e po

sitio

n on

a g

rid.

Uns

atis

fact

ory

at

tem

pts.

R

equi

rem

ents

not

m

et

28

RU

BR

IC 1

: M

ATH

EMA

TIC

SLe

arni

ng O

utco

me

4: M

easu

rem

ent:

Mea

sure

men

t

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

m

easu

re a

nd 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

with

gr

eate

r effi

cien

cy,

exce

edin

g ex

pect

ed

requ

irem

ents

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.

Doe

s no

t mee

t re

quire

men

ts

29

RU

BR

IC 1

: MA

THE

MA

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

30

RU

BR

IC 2

: MA

THE

MA

TIC

S Le

arni

ng O

utco

me

5: D

ata

hand

ling:

Rep

rese

ntin

g an

d in

terp

retin

g da

ta

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 d

raw

acc

urat

e an

d ex

celle

nt

grap

hs g

ivin

g al

l re

leva

nt in

form

atio

n an

d/or

crit

ical

ly

answ

ers

ques

tions

fro

m m

ore

than

one

pe

rspe

ctiv

e w

ith

just

ifica

tion

and

mak

es re

alis

tic

pred

ictio

ns b

ased

on

giv

en d

ata,

ex

ceed

ing

expe

cted

re

quire

men

ts

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

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.

Req

uire

men

ts n

ot

met

31

RU

BR

IC 3

: MA

THE

MA

TIC

S Le

arni

ng O

utco

me

5: D

ata

hand

ling:

Pro

babi

lity

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

even

ts a

nd

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

outc

omes

in s

impl

e ex

perim

ents

with

re

cogn

ition

of t

he

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 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 l

ist p

ossi

ble

outc

omes

for e

vent

s.

Req

uire

men

ts n

ot

met

32

senior phase – grade 7 - pearson...

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