senior phase – grade 7 - pearson...
TRANSCRIPT
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
Informal and formal assessment
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
Informal and formal assessment
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
Informal and formal assessment
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
2 10 LO 1: Numbers, operations and relationships
Chapter 4: Decimal fractions
Informal and formal assessment
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
2 11-12 LO 1: Numbers, operations and relationships
Chapter 5: Percentages
Informal and formal assessment
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
Informal and formal assessment
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
Informal and formal assessment
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
Informal and formal assessment
Maths Today Grade 7 Learner's Book and Teacher's Guide Protractor Calculator for checking answers Access to Maths computer software for consolidation
2 18 LO 1: Numbers, operations and relationships
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
Informal and formal assessment
Maths Today Grade 7 Learner's Book and Teacher's Guide Protractor Calculator for checking answers Access to Maths computer software for consolidation
3 20, 21 & 22
LO 3: Space and shape
Chapter 9: Transformation of geometric figures, similar figures and congruent figures
Informal and formal assessment
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
Informal and formal assessment
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
4 26-27 LO 1: Numbers, operations and relationships
Chapter 12: Consumer maths
Informal and formal assessment
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
Informal and formal assessment
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
LESSON PLANS – Grade 7
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
Lesson 5: Assessment LB p40
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
LESSON PLANS – Grade 7
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
Lesson 9: Assessment LB p58
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
LESSON PLANS – Grade 7
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
Lesson 10: Assessment LB p77
Assessment activity Memo 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
LESSON PLANS – Grade 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
Lesson 7: Assessment LB p91
Assessment activity Memo TG p83
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
LESSON PLANS – Grade 7
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
Lesson 3: Assessment LB p106
Assessment activity Memo TG p91
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
LESSON PLANS – Grade 7
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
Lesson 3: Assessment LB p120
Assessment activity Memo TG p100
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
LESSON PLANS – Grade 7
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
Lesson 10: Assessment LB p146
Assessment activity Memo TG p109
Maths Today Grade 7 Learner's Book and Teacher's Guide Protractor Calculator for checking answers Access to Maths computer software for consolidation
Assessment: Types of assessment: Formal assessment for Lessons 3 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 3; memo (TG p109) for Lesson 10
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
LESSON PLANS – Grade 7
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
Lesson 5: Assessment LB p165
Assessment activity Memo TG p122
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
LESSON PLANS – Grade 7
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
Lesson 4: Assessment LB p185
Assessment activity Memo TG p131
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
LESSON PLANS – Grade 7
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
Lesson 5: Assessment LB p202
Assessment activity Memo TG p140
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
Assessment: Types of assessment: Formal assessment for Lessons 2 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO4 for Lesson 2; memo (TG p141) for Lesson 5
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
LESSON PLANS – Grade 7
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
Assessment activity Memo TG p146
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
LESSON PLANS – Grade 7
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
Lesson 8: Assessment LB p237
Assessment activity Memo 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
LESSON PLANS – Grade 7
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
Lesson 2: Assessment LB p249
Assessment activity Memo 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