M780636110304
Senior Phase – Grade 9
Today Planning Pack
MATHEMATICS
Contents:
Work Schedule:
Page
Grade 9 ………………………………………………………………
2
Lesson Plans:
Grade 9 ………………………………………………………………
4
Rubrics:
LO1 Rubric 1: Recognising, classifying and representing numbers………19
LO1 Rubric 2: Applications of numbers to problems………………………..20
LO1 Rubric 3: Calculations types involving numbers……………………….21
LO1 Rubric 4: Properties of numbers………………………………………...22
LO2 Rubric 1: Patterns…………………………………………………………23
LO2 Rubric 2: Equations……………………………………………………….24
LO2 Rubric 3: Graphs…………………………………………………………..25
LO2 Rubric 4: Equivalent representations……………………………………26
LO2 Rubric 5: Algebraic conventions (Grade 8 & 9 only)…………………..27
LO3 Rubric 1: Shapes and objects……………………………………………28
LO3 Rubric 2: Transformations, congruence and similarity………………..29
LO3 Rubric 3: Position…………………………………………………………30
LO3 Rubric 4: Straight line geometry (Grades 8 & 9 only)………………... 31
LO4 Rubric 1: Measurement…………………………………………………..32
LO5 Rubric 1: Collecting and organising data……………………………….33
LO5 Rubric 2: Representing and interpreting data………………………….34
LO5 Rubric 3: Probability………………………………………………………35
Work schedule for Maths Today – Grade 9
Term
Week
1-2
LOs & ASs
LO1:
Numbers,
operations and
relationships
Chapter
Chapter 1:
Real numbers
Assessment
Formal and
informal
assessment
1
3-5
LO2: Patterns,
functions and
algebra
Chapter 2:
Number patterns
Formal and
informal
assessment
1
6-8
LO2: Patterns,
functions and
algebra
Chapter 3:
Graphs
Formal and
informal
assessment
1
9-10
2
11-12
2
13-14
Chapter 4:
Products and
factors
Chapter 5:
Algebraic
fractions
Chapter 6:
Equations
2
15-16
LO2: Patterns,
functions and
algebra
LO2: Patterns,
functions and
algebra
LO2: Patterns,
functions and
algebra
LO3: Space
and shape
Formal and
informal
assessment
Formal and
informal
assessment
Formal and
informal
assessment
Formal and
informal
assessment
3
17-18
LO3: Space
and shape
Chapter 8:
Geometric figures
Formal and
informal
assessment
Test
3
19-21
LO3: Space
and shape
Chapter 9:
Lines, angles and
triangles
Formal and
informal
assessment
1
Chapter 7:
Transformations
2
Resources
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Protractor
Calculator
Use of computer software for
consolidation and extra challenges
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Paper with squares
Paper with triangles
Colour pencils, highlighters
Access to computers for exploring
patterns
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Paper with squares, graph paper
Measuring cylinders
Marbles, golf balls
Three rulers per pair of learners
Coins
Flat buttons of different diameters
String, measuring tapes
Masking tape
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Pencil and ruler
Tracing paper
Scissors
Pair of compasses
Protractor
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Workbooks
Pencils, coloured pencils, crayons
Felt pens, rulers
White and coloured paper, thin card
Tracing paper and pin
Glue, scissors
Compass, protractor
Feathers, leaves, flowers
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Workbooks
Pair of compasses, protractor, ruler
Set square
3
22
LO3: Space
and shape
Chapter 10:
Solids
Formal and
informal
assessment
Maths Today Grade 9 Learner's Book
and Teacher's Guide
Workbooks
Grid paper, graph paper
Scissors, glue, tape, rulers
Pencils, erasers
Cardboard
Matches, toothpicks
Plasticine
Isometric paper
Access to Internet
4
23-24 LO 4:
Chapter 11:
Formal and
Maths Today Grade 9 Learner's Book
Measurement
Measurement
informal
and Teacher's Guide
assessment
Workbooks
Protractor
Calculator
4
25-26 LO1:
Chapter 12:
Formal and
Maths Today Grade 9 Learner's Book
Numbers,
Consumer maths informal
and Teacher's Guide
operations and
assessment
Workbooks
relationships
Graph paper
Calculator
Sharp pencil, ruler
Newspapers
Examples of a variety of insurance
policy contract copies, claim forms
and IRP5 forms
Business magazines
Copies of school’s budget
Access to Internet
Spokespeople from financial
institutions
4
27-29 LO5: Data
Chapter 13:
Formal and
Maths Today Grade 9 Learner's Book
handling
informal
Statistics
and Teacher's Guide
assessment
Workbooks
Atlas
Coloured pencils
Protractor
STATS SA information
Internet websites
4
30-31 LO5: Data
Chapter 14:
Formal and
Maths Today Grade 9 Learner's Book
Probability
Handling
informal
and Teacher's Guide
assessment
Workbooks
Test
Four coins
Packet of jelly beans
Two dice
Note: You need to complete 3 formal assessment tasks per term for Maths in Grade 9. This work schedule
shows all the opportunities for formal assessment
3
LESSON PLANS – Grade 9
Chapter 1: Real numbers
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO1:
Numbers, operations
and relationships
Grade: 8
Weeks: 1-3
Integration
Describes and illustrates the historical development of number systems
Recognises, uses and represents rational numbers
Solves problems that involve ratio, rate and proportion
Estimates and calculates by selecting and using operations
Uses a range of techniques and tools
Recognises, describes and uses the properties of rational numbers
Natural Sciences
LO1
Economic and
Management Sciences
LO4
Technology
LO1
Social Sciences (Geog)
LO1
Content / Knowledge:
•
•
•
•
•
Describes and illustrates the historical development of number systems
Recognises, uses and represents rational numbers, equivalent forms
Solves ratio, rate and proportion problems
Estimates, calculates, selects and uses operations, judges reasonableness of results
Uses a range of techniques and tools, performs calculations
•
Recognises, describes and uses properties of rational numbers
Learning activities
Teaching methods/approach
Resources
Maths Today Grade
Lesson 1: Rational and
Activity 1a: (Baseline assessment) Identify rational and
irrational numbers LB p2
9 Learner's Book
irrational numbers TG p2
and Teacher's Guide
Division by 0
Teach and work through examples TG p3
Lesson 2: History of rational
Activity 1b: Find out about the history of numbers
Protractor
and irrational numbers LB p3
TG p4
Calculator
Lesson 3: Equivalent forms of
Teach and work through examples TG p4
Use of computer
rational numbers LB p3
software for
Recurring decimals LB p4
consolidation and
Lesson 4: Converting decimal
Activity 1c: Convert between common fractions and
extra challenges
fractions to common fractions
decimal fractions TG p5
LB p5
Lesson 5: Scientific notation:
Activity 2a: Write numbers in scientific and decimal
Write small numbers in
notation TG p6
scientific notation LB p6
Lesson 6: Calculations with
Activity 2b: Calculate with numbers in scientific notation
numbers in scientific notation
TG p6
LB p7
Lesson 7: Rational
Teach and work through examples TG p7
approximations of irrational
Activity 3a: Write rational approximations of irrational
numbers: Ratio, rate, direct and numbers TG p8
indirect proportion LB p9
Lesson 8: Rational
Activity 3b: Solve problems involving ratio, rate and
approximations of irrational
proportion TG p9
numbers: Word problems
LB p12
Assessment TG p10
Lesson 9:
Assessment LB p14
Reinforcement:
Assessment:
Revise, drill and consolidate with extra examples of new
Type of assessment:
concepts introduced
Formal assessment for Lessons 4, 6 and 9
Informal assessment: all other activities can be used for Use of computer software for consolidation and extra
challenges
informal assessment
Expanded opportunities:
Use of computer software for consolidation and extra
Form of assessment:
challenges
Rubric 3 LO1 for Lesson 4; rubric 3 LO1 for Lesson 6;
Exploring old Olympiad papers
memo (TG p10) for Lesson 9
Solving problems at higher cognitive levels
Teacher reflection:
4
LESSON PLANS – Grade 9
Chapter 2: Number patterns
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO2:
Numbers, operations
and relationships
Grade: 9
Weeks: 3-5
Integration
Investigates, in different ways, a variety of numeric and geometric
patterns and relationships
Represents and uses relationships between variables
Constructs mathematical models
Solves equations by inspection, trial-and-improvement or algebraic
processes
Determines, analyses and interprets
Natural Sciences
LO1
Technology
LO2
Economic and
Management Sciences
LO4
Social Sciences(Geog)
LO1
Content / Knowledge:
•
Investigates numeric and geometric patterns, investigates relationships, represents relationships,
generalizes relationships
• Explains and justifies rules
• Represents and uses relationships between variables, determines input and/or output values, represents
and uses verbal descriptions, flow diagrams, tables, formulae and equations
• Constructs mathematical models
• Solves equations by inspection, trial-and-improvement or algebraic processes, checks the solution by
substitution
•
Determines, analyses and interprets the equivalence of different descriptions, relationships, rules in, flow
diagrams, tables, equations or expressions, by graphs on the Cartesian plane
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Describing a number
Activity 1a: (Baseline assessment)
Learner's Book and
pattern LB p17
Revising number patterns TG p13
Teacher's Guide
Lesson 2: Fractals LB p19
Activity 1b: Investigate patterns using the Sierpinski
Carpet TG p14
Paper with squares
Lesson 3: Number patterns
Activity 2: Calculating income tax TG p18
Paper with triangles
around us LB p25
Coloured pencils
Assessment TG p20
Lesson 4:
Highlighters
Assessment LB p29
Access to computers
Assessment:
Type of assessment:
Formal assessment for Lessons 3 and 4
Informal assessment: all other activities can be used for
informal assessment
Form of assessment:
Rubric TG p17 for Lesson 3; memo (TG p20) for Lesson 4
Teacher reflection:
5
for exploring patterns
Reinforcement:
Extra examples of new concepts introduced
Use of computer software for consolidation and extra
challenges
Expanded opportunities:
Use of computer software for consolidation and extra
challenges
Exploring old Olympiad papers
Exploring websites for interesting patterns
LESSON PLANS – Grade 9
Chapter 3: Graphs
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO2:
Numbers, operations
and relationships
LO3 Space and
Shape
Grade: 9
Weeks: 6-8
Integration
Constructs mathematical models
Draws graphs on the Cartesian plane for given equations
Determines, analyses and interprets
Uses various representational systems to describe position and
movement between positions
Natural Sciences
LO2
Technology
LO1
Economic and
Management Sciences
LO1
Life Orientation
LO1
Content / Knowledge:
•
•
•
Constructs mathematical models, describes and provides solutions to problems
Draws graphs on the Cartesian plane, determines equations or formulae, uses tables
Determines, analyses and interprets the equivalence of different descriptions / relationships / rules
•
Uses representational systems, describes position and movement between positions
Learning activities
Teaching methods/approach
Resources
Lesson 1: References can be
Activity 1a: (Baseline assessment)
Maths Today Grade 9
used to describe position LB p34 Find your position from a street map TG p24
Learner's Book and
Teacher's Guide
Lesson 2: The Cartesian Plane
Activity 1b: Plot points on a Cartesian plane TG p25
LB p37
Paper with squares
Lesson 3: Draw graphs by
Activity 2a: Analyse a formula TG p26
Graph paper
plotting points LB p39
Activity 2b: Relate side lengths to area and perimeter
Measuring cylinders
TG p27
Marbles
Lesson 4: Explore straight-line
Activity 3a: Explore the properties of straight-line
Golf balls
graphs LB p44
graphs TG p32
Three rulers per pair
Activity 3b: Reflecting on properties of straight-line
of learners
graphs TG p34
Coins
Lesson 5: The gradient of a
Activity 4: Determine the gradient of straight-line
Flat buttons of
straight-line graph LB p48
graphs when the graph is given TG p36
different diameters
Lesson 6: Explore the general
Activity 5: Draw straight-line graphs for given
String
properties of straight-line graphs
equations TG p37
Measuring tapes
in the context of mathematics
Masking tape
LB p51
Lesson 7: Use the properties of
Activity 6: Draw straight-line graphs by using the
straight-line graphs to draw
y-intercept gradient method TG p39
graphs LB p53
Lesson 8: Use the x- and yActivity 7: Draw sketch graphs TG p41
intercepts to draw straight-line
graphs LB p55
Assessment TG p44
Lesson 9:
Assessment LB p57
Reinforcement:
Assessment:
Easier and extra examples of new concepts
Type of assessment:
introduced
Formal assessment for Lessons 7 and 9
Use of computer software for consolidation
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and extra
Form of assessment:
challenges
Rubric 3 LO2 for Lesson 7
Working from a variety of resources
Memo (TG p44) for Lesson 9
Working with complex graphs
Teacher reflection:
6
LESSON PLANS – Grade 9
Chapter 4: Products and factors
Learning Areas: Maths
Duration: 10 hours
Learning Outcome Assessment Standards
LO2:
Numbers, operations
and relationships
Grade: 9
Weeks: 9-10
Integration
Uses the laws of exponents to simplify expressions and solve equations
Uses the distributive law and manipulative skills developed in Grade 8
Natural Sciences LO2
Technology LO1
Economic and
Management Sciences
LO1
Life Orientation LO1
Content / Knowledge:
• Uses the laws of exponents, simplifies expressions, solves equations
• Uses the distributive law
• Uses manipulative skills
• Finds product of two binomials
• Factorises algebraic expressions
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Explore the
Activity 1: (Baseline assessment)
Learner's Book and
properties and laws of
Use the first law of exponents to simplify expressions
Teacher's Guide
exponents: The first law of
TG p47
exponents LB p62
Lesson 2: The second law of
Activity 2: Investigate the quotient of numbers written
exponents LB p64
in index form TG p48
Lesson 3: The third law of
Activity 3: Use the third law of exponents to simplify
exponents LB p65
expressions TG p48
Lesson 4: The fourth law of
Activity 4: Use the fourth law of exponents to simplify
exponents LB p66
expressions TG p49
Activity 5: Practice writing the expansions of algebraic
Lesson 5:
The product of a monomial and expressions TG p49
a polynomial LB p67
Activity 6: Find the product of two binomials with
Lesson 6:
The product of two binomials
unlike terms TG p50
with unlike terms LB p69
Activity 7: Find the product of two binomials with like
Lesson 7:
The product of two binomials
terms TG p51
with like terms LB p70
Lesson 8: The square of a
Activity 8: Investigate the squares of binomials
TG p52
binomial LB p71
Lesson 9: Products of the type Activity 9: Investigate the products of the type
(a + b)(a - b) LB p72
(a + b)(a - b) TG p53
Lesson 10: Converting
Activity 10: Find the factors of a polynomial TG p54
polynomials to product
Activity 11: Factorise algebraic expressions
expressions LB p73
(Common factors) TG p54
Lesson 11: The difference of
Activity 12: Factorise the difference of two squares
two squares LB p75
TG p55
Assessment TG p56
Lesson 12:
Assessment LB p76
Reinforcement:
Assessment:
Easier examples of new concepts
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lessons 5, 11 and 12
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
Form of assessment:
extra challenges
Rubric 5 LO2 for Lesson 5,
Working with complicated polynomials.
Rubric 2 LO3 for Lesson 11,
Memo TG p56 for Lesson 12
Teacher reflection:
7
LESSON PLANS – Grade 9
Chapter 5: Algebraic fractions
Learning Areas: Maths
Duration: 10 hours
Learning Outcome
Assessment Standards
LO1:
Numbers, operations
and relationships
LO2:
Patterns, functions
and algebra
Grade: 9
Weeks: 11-12
Integration
Recognises, uses and represents rational numbers
Recognises, describes and uses the properties of rational numbers
Uses a range of techniques and tools (including technology) to perform
calculations efficiently and to the required degree of accuracy
Uses factorisation to simplify algebraic expressions and solve equations
Natural Sciences
LO2
Technology
LO1
Life Orientation
LO1
Economic and
Management Sciences
LO1
Content / Knowledge:
•
•
•
•
Recognises, uses and represents rational numbers, moves flexibly between equivalent forms
Recognises, describes and uses the properties of rational number
Uses techniques, tools and technology for calculations
Uses laws and meanings of exponents
•
Uses factorization, simplifies algebraic expressions, solves equations
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Simplification of
Activity 1: (Baseline assessment) To simplify fractions
Learner's Book and
fractions LB p78
TG p59
Activity 2: Simplify fractions that include numbers written Teacher's Guide
in exponent notation TG p59
Workbooks
Lesson 2: The meaning of a0
Activity 3a: Explore the meaning of zero as an exponent
LB p80
TG p60
Lesson 3: Negative
Activity 3b: Explore the meaning of negative exponents
exponents LB p81
TG p61
Lesson 4: Simplify algebraic
Activity 4: Simplify algebraic fractions TG p61
fractions LB p82
Lesson 5: Simplify algebraic
Activity 5: Simplify algebraic expressions by factorisation
expressions by factorisation
TG p62
LB p83
Lesson 6: Multiplication and
Activity 6: Multiplication and division of fractions TG p63
division of fractions LB p84
Lesson 7: Addition and
Activity 7: Practice addition and subtracting of algebraic
subtraction of fractions LB p85 fractions TG p63
Assessment TG p64
Lesson 12:
Assessment LB p87
Assessment:
Reinforcement:
Easier and lots of extra examples of new concepts
Type of assessment:
Formal assessment for Lessons 4 and 12
introduced
Informal assessment: all other activities can be used for
Use of computer software for consolidation
informal assessment
Form of assessment:
Expanded opportunities:
Rubric 5 LO2 for Lesson 4
Use of computer software for consolidation and
Memo (TG p64) for Lesson 12
extra challenges
Working from a variety of resources
Working with complicated polynomials.
Teacher reflection:
8
LESSON PLANS – Grade 9
Chapter 6: Equations
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO1:
Numbers, operations
and relationships
LO2:
Patterns, functions
and algebra
Grade: 9
Weeks: 13-14
Integration
Estimates and calculates by selecting and using operations appropriate to
solving problems and judging the reasonableness of results
Represents and uses relationships between variables
Constructs mathematical models
Solves equations
Determines, analyses and interprets the equivalence
Natural Sciences
LO1
Technology
LO1
Economic and
Management Sciences
LO4
Content / Knowledge:
•
•
Estimates, calculates, selects and uses operations, solves problems, judges results
Represents and uses relationships, determines input and/or output values, uses verbal descriptions, flow
diagrams, tables, formulae, equations and expressions
• Constructs mathematical models
• Solves equations by inspection, trial-and-improvement or algebraic processes, checks solution by
substitution
•
Determines, analyses and interprets the equivalence of different descriptions in order to select the most
useful representation for a given situation
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Inspection and
Activity 1: (Baseline assessment) Solve equations
Learner's Book and
substitution LB p90
by inspection TG p67
Teacher's Guide
Lesson 2: Reverse the calculation Activity 2: Solve problems by reversing the
procedure to determine the output
calculation procedure TG p68
value LB p92
Lesson 3: The balance algorithm : Activity 3a: Solving equations using the balance
Solve equations with the unknown
algorithm LB p70
(variable) on both sides of the
equation LB p94
Lesson 4: The balance algorithm:
Activity 3b: More about the balance algorithm
Solve more complicated equations LB p70
with variables on both sides of the
equation LB p96
Lesson 5: Equations with fractions Activity 4: Solve simple equations involving fractions
LB p97
TG p71
Lesson 6: Equations involving
Activity 5: Solve more complicated equations that
more complicated fractions LB p98 involve fractions TG p72
Lesson 7: The difference between Activity 6: Interpret algebraic expressions and
simplifying algebraic fractions and
equations TG p73
solving equations with fractions
LB p100
Lesson 8: Construct equations for Activity 7: Translate word problems into algebraic
number problems LB p101
language TG p74
Lesson 9: Use equations as
Activity 8: Use equations as mathematical models to
mathematical models to solve
solve problems TG p75
problems LB p102
Assessment TG p76
Lesson 10:
Assessment LB p105
Assessment:
Reinforcement:
Easier examples of new concepts introduced
Type of assessment:
Formal assessment for Lessons 5 and 10
Use of computer software for consolidation
Informal assessment all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
Form of assessment:
Rubric 5 LO2 for Lesson 5
extra challenges
Memo (TG p76) for Lesson 10
Engaging in complicated problem solving
Teacher reflection:
9
LESSON PLANS – Grade 9
Chapter 7: Transformations
Learning Areas: Maths
Duration: 10 hours
Learning Outcome
Assessment Standards
LO3:
Space and shape
Grade: 9
Weeks: 15-16
Integration
Describes the interrelationships of the properties of geometric figures and
solids with justification
Uses geometry of straight lines and triangles to solve problems
Uses transformations, congruence and similarity
Uses various representational systems
Technology
LO1
Arts and Culture
LO1
Content / Knowledge:
•
•
•
•
•
•
•
•
Describes interrelationships of the properties of geometric figures and solids
Describes congruence, describes straight line geometry, describes transformations
Uses geometry of straight lines and triangles to solve problems
Uses transformations, congruence and similarity to investigate, describe and justify
Uses representational systems to describe position and movement between positions
Uses ordered grids
Uses Cartesian plane
Uses compass directions
•
Uses angles of elevation and depression
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: The four kinds of
Teach reflection, rotation, translation and
Learner's Book and
transformations LB p108
enlargement and work through examples TG p78
Teacher's Guide
Lesson 2: Properties of
Teach and work through examples TG p78
transformations: Reflection
Pencil and ruler
LB p109
Tracing paper
Lesson 3: Properties of
Teach and work through examples TG p78
Scissors
transformations: Rotation
Pair of compasses
LB p110
Protractor
Lesson 4: Properties of
Teach and work through examples TG p79
transformations: Translation
LB p111
Lesson 5: Enlargement LB p115
Teach and work through examples TG p80
Properties of enlargement LB 116 Activity 1: (Baseline assessment)
Find the centre of enlargement
Draw enlargements of a given figure TG p80
LB p116
Calculate the scale factor LB 117
Negative scale factors LB 117
Lesson 6: Combined
Activity 2: Investigate the effect of combined
transformations LB p121
transformations TG p82
Assessment TG p87
Lesson 7:
Assessment LB p125
Reinforcement:
Assessment:
Easier examples of new concepts introduced
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lessons 6 and 7
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and extra
challenges
Form of assessment:
Working from a variety of resources
Rubric 2 LO3 for Lesson 6
Engaging in complicated transformations
Memo (TG p87) for Lesson 7
Teacher reflection:
10
LESSON PLANS – Grade 9
Chapter 8: Geometric figures
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO3:
Space and shape
Grade: 9
Weeks: 17-18
Integration
Recognises, visualises and names geometric figures and solids
In contexts describes the interrelationships of the properties
Uses geometry of straight lines and triangles to solve problems
Draws and/or constructs geometric figures and makes models of solids
Uses transformations, congruence and similarity
Recognises and describes geometric solids
Technology
LO1
Arts and Culture
LO1
Natural Sciences
LO3
Content / Knowledge:
•
•
•
•
•
•
•
•
•
•
Recognises, visualises and names regular and irregular polygons and polyhedra, spheres, cylinders
Describes properties of geometric figures and solids
Describes congruence, straight line geometry, transformations
Uses geometry of straight lines and triangles
Draws and/or constructs geometric figures
Makes models of solids, investigates and compares properties and models situations
Uses transformations, congruence and similarity
Investigates, describes and justifies properties of geometric figures and solids
Tests for similarity and congruence of triangles
Recognises and describes geometric solids
•
Simple perspective drawing
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Patterns relating to our
Activity 1a: (Baseline assessment)
Learner's Book and
culture LB p130
Explore patterns used by different cultures TG p92
Teacher's Guide
Lesson 2: Patterns used in
Activity 1b: Design your own pattern TG p92
Pencils
designs LB 131
Coloured pencils
In the animal world LB p132
Crayons
In fish and birds LB p133
Felt pens
Lesson 3: Ideal designs LB p134
Activity 1c: Construct your own golden rectangle
Rulers
Fibonacci sequence LB p136
TG p93
White and coloured
Teach and work through the example TG p94
paper or thin card
Lesson 4: More about polygons
Teach and work through examples TG p94
Tracing paper and pin
LB p137
Glue
Lesson 5: Angles of regular
Activity 1d: Determine the sum of the interior angles
Scissors
polygons LB p138
of a regular pentagon TG p95
Compass
Activity 1e: Find the sum of the exterior angles of a
Protractor
polygon TG p97
Feathers
Lesson 6: Constructing regular
Activity 1f: Constructing regular polygons TG p99
Leaves
polygons LB p141
Flowers
Lesson 7: Use transformations to
Activity 2a: Investigate the symmetrical properties of
investigate properties of polygons:
polygons TG p102
Line symmetry LB p144
Rotational symmetry LB p144
Lesson 8: Sides and angles of
Activity 2b: Investigate the properties of
polygons LB p146
quadrilaterals TG p104
Activity 2c: Use the properties of quadrilaterals to
identify them TG p105
Lesson 9: Congruency and
Activity 3a: Find out if the given geometric figures
similarity LB p150
are congruent TG p108
Activity 3b: Find out if the given geometric figures
are similar TG p108
Assessment TG p112
Lesson 10:
Assessment LB p157
11
Reinforcement:
Easier examples of new concepts introduced
Use of computer software for consolidation
Assessment:
Type of assessment:
Formal assessment for Lessons 7 and 10
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Working from a variety of resources
Engaging in complicated polygons
Form of assessment:
Rubric 1 LO3 for Lesson 7
Memo (TG p112) for Lesson 10
Teacher reflection:
12
LESSON PLANS – Grade 9
Chapter 9: Lines, angles and triangles
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO3:
Space and shape
Grade: 9
Weeks: 19-21
Integration
Recognises, visualises and names geometric figures and solids
Uses geometry of straight lines and triangles to solve problems
Uses transformations, congruence and similarity to investigate, describe
and justify relationships
Technology
LO1
Arts and Culture
LO1
Content / Knowledge:
•
•
•
•
•
Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders
Uses geometry of straight lines and triangles
Solves problems, justifies relationships
Uses transformations, congruence and similarity
Investigates, describes and justifies properties of geometric figures and solids
•
Tests for similarity and congruence of triangles
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Calculate the sizes
Teach and work through examples TG p115
Learner's Book and
of angles LB p159
Teacher's Guide
Lesson 2: Different types of
Activity 1: (Baseline assessment) Find angle
triangles LB p161
relationships for triangles and lines TG p116
Pair of compasses
Lesson 3: Parallel lines
Activity 2: Work with alternate, corresponding and coProtractor
LB p165
interior angles TG p118
Ruler
Lesson 4: Similar triangles
Activity 3a: Explore the relation between the two
Set square
LB p170
conditions for similarity TG p121
Activity 3b: Identify similar triangles TG p122
Lesson 5: Calculate missing
Activity 4a: Calculate missing sides and angles
sides LB p176
TG p123
Activity 4b: Calculate missing sides TG p124
Lesson 6: Congruent triangles Teach and work through examples TG p126
Use transformations to confirm
congruency LB p182
Use congruency to calculate
missing values LB p183
Lesson 7: Angles of elevation
Teach and work through example TG p127 – 131
and depression LB p186
Assessment TG p131
Lesson 8:
Assessment LB p188
Assessment:
Type of assessment:
Formal assessment for Lessons 4 and 8
Informal assessment: all other activities can be used for
informal assessment
Reinforcement:
Easier examples of new concepts introduced
Use of computer software for consolidation
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Working from a variety of resources
Working with complicated examples
Form of assessment:
Rubric 1 LO3 for Lesson 4
Memo (TG p131) for Lesson 8
Teacher reflection:
13
LESSON PLANS – Grade 9
Chapter 10: Solids
Learning Areas: Maths
Duration: 10 hours
Learning Outcome
Assessment Standards
LO3:
Space and shape
Grade: 9
Week: 22
Integration
Recognises, visualises and names geometric figures and solids
In context describes the interrelationships of the properties
Draws and/or constructs geometric figures and makes models of solids
Uses transformations, congruence and similarity
Recognises and describes geometric solids
Technology
LO1
Arts and Culture
LO1
Natural Sciences
LO1
Content / Knowledge:
•
•
Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders
Describes the interrelationships of the properties of geometric figures and solids, justification with
congruence and straight line geometry, transformations
• Draws and/or constructs geometric figures and makes models of solids, compares their properties, models
situations
• Uses transformations, congruence and similarity to investigate, describe and justify
•
Recognises and describes geometric solids, simple perspective drawing
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Planes LB p192
Activity 1a: (Baseline assessment) Make models of
Learner's Book and
solids TG p135
Teacher's Guide
Activity 1b: Investigate the properties of solids TG 135
Lesson 2: Symmetrical
Activity 1c: Explore the symmetrical properties of
Grid paper
properties of polyhedrons
polyhedrons TG p137
Graph paper
LB p200
Activity 1d: Explore the rotational symmetry of
Scissors
polyhedrons TG p138
Glue
Lesson 3: Surface area and
Activity 2: Calculate the surface area and the volume of
Tape
volume of polyhedrons
a triangular prism TG p140
Rulers
LB p202
Pencils
Lesson 4: Cylinders LB p204
Activity 3: Calculate the surface area and the volume of
Erasers
Containers shaped like
a cylinder TG p141
Cardboard
polyhedrons LB p208
Teach and work through examples TG p141
Matches
Lesson 5: Isometric shapes:
Activity 4: Isometric shapes TG p144
Toothpicks
Isometric paper LB p209
Plasticine
Lesson 6: Views of shapes
Teach and work through examples TG p145
Isometric paper
LB p212
Access to Internet
Lesson 7: Nets LB p213
Activity 5a: Explore nets of containers TG p147
Activity 5b: Design your own containers TG p147
Lesson 6: Communicate using Teach and work through examples TG p149
drawings LB 216
Activity 6a: Do calculations from drawings TG p150
Projections LB 216
Orthographic drawing LB p216
Lesson 7: Isometric drawing
Activity 6b: Exploring projections of 3-D shapes
LB p218
TG p151
Lesson 8: Diagonals of
Teach and work through examples TG p153
polyhedrons LB p219
Assessment TG p153
Lesson 10:
Assessment LB p221
Reinforcement:
Assessment:
Easier examples of new concepts introduced
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lessons 3, 7 and 10
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Form of assessment:
Working from a variety of resources
Rubric 2 LO3 for Lesson 3
Engaging in complicated polyhedrons, isometric
Rubric 1 LO3 for Lesson 7
drawings, floor plans of buildings
Memo (TG p153) for Lesson 10
Teacher reflection:
14
LESSON PLANS – Grade 9
Chapter 11: Measurement
Learning Areas: Maths
Duration: 10 hours
Learning Outcome Assessment Standards
LO4:
Measurement
Grade: 9
Weeks: 23 -24
Integration
Solves ratio and rate problems involving time, distance and speed.
Solves problems involving known geometric figures and solids
Describes and illustrates the development of measuring instruments
Uses the Theorem of Pythagoras to solve problems
Technology
LO1
Social Sciences(Geog)
LO3
Life Orientation
LO1, 4
Economic and
Management Sciences
LO4
Content / Knowledge:
•
•
•
•
•
•
Solves ratio and rate problems
Solves time, distance and speed problems
Solves problems involving known geometric figures and solids
Measures precisely, selects measuring instruments
Estimates and calculates with precision, selects and uses appropriate formulae and measurements
Describes and illustrates the development of measuring instruments
•
Uses the Theorem of Pythagoras to solve problems
Learning activities
Teaching methods/approach
Resources
Maths Today Grade
Lesson 1: Measuring instruments
Activity 1a: (Baseline assessment)
9 Learner's Book
and measuring units LB p223
Measure and calculate with length TG p157
and Teacher's Guide
Length and perimeter LB p224
Lesson 2: Theorem of Pythagoras
Activity 1b: Apply the Theorem of Pythagoras to
Protractor
LB p225
calculate missing lengths TG p158
Calculator
Lesson 3: Area LB p228
Teach and work through examples TG p159
Activity 2: Construct polygons with given areas
TG p160
Lesson 4: Volume and capacity
Activity 3: Calculate the volume of air in a building
LB p233
TG p162
Lesson 5: Ratio and rate problems Activity 4a: Calculate the number of calories in a diet
LB p236
TG p163
Lesson 6: Convert between
Activity 4b: Convert between imperial and metric
imperial and metric units LB p238
units TG p163
Lesson 7: Watering the garden
Activity 4c: Calculate the flow rate of a tap TG p164
LB p239
Activity 4d: Calculate the number of sprinklers in a
How many sprinklers? LB p240
water line TG p165
Lesson 8: Measurement in sport
Activity 4e: Test your fitness level TG p165
LB p241
Teach and work through examples TG p166
Anaerobic fitness LB p242
Speed test LB p242
Muscle endurance LB p242
Flexibility test LB p242
Lesson 9: Problems involving time, Activity 4f: Calculations involving time, distance and
distance and speed LB p243
speed TG p166
Assessment TG p167
Lesson 10:
Assessment LB p247
Reinforcement:
Assessment:
Easier and extra examples of new concepts
Type of assessment:
introduced
Formal assessment for Lessons 1, 4 and 10
Use of computer software for consolidation
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
Form of assessment:
extra challenges
Rubric 1 LO4 for Lesson 1
Working from a variety of resources
Rubric 1LO4 for Lesson 4
Engaging in complicated calculations
Memo (TG p167) for Lesson 10
Teacher reflection:
15
LESSON PLANS – Grade 9
Chapter 12: Consumer Maths
Learning Areas: Maths
Duration: 10 hours
Learning Outcome
Assessment Standards
LO1: Numbers,
operations and
relationships
LO5: Data handling
Grade: 9
Weeks: 25 -26
Integration
Solves problems in contexts
Draws a variety of graphs by hand/technology to display and interpret
data
Economic and
Management Sciences
LO3
Life Orientation
LO2, 3
Content / Knowledge:
•
Solves problems in: profit and loss; budgets; accounts; loans; simple and compound interest, hire
purchase; exchange rates; commission; rentals and banking contexts
• Draws a pie chart by hand / technology
•
Displays and interprets data
Learning activities
Teaching methods/approach
Resources
Lesson 1: Lending and
Maths Today Grade 9
Revising concepts from Grade 8
borrowing money: Simple
Learner's Book and
interest LB p249
Teacher's Guide
Lesson 2: Lending and
Activity 1: (Baseline assessment)
borrowing money: Compound
Investigate compound interest TG p169
interest LB p249
Activity 2: Borrowing large amounts of money TG p170 Graph paper
Calculator
Lesson 3: Compound interest
Activity 3: Find a formula to calculate compound
Sharp pencil
LB p253
interest TG p171
Ruler
Using the formula LB p254
Calculators
Lesson 4: Budgeting LB p255
Activity 4: Thinking about a budget TG p174
Newspapers
Government budgets LB p256
Activity 5a: Work with government budgets TG p174
Examples of a variety
Lesson 5: Budgeting LB p255
Activity 5b: Different methods of buying TG p175
of insurance policy
Lesson 6: Bank charges
Teach and work through examples TG p175
contract copies
LB p259
Example of claim
Inflation LB p261
forms
Lesson 7: Taxation LB p261
Teach and work through examples TG p176
IRP 5 forms
Lesson 8: More mathematics
Teach and work through examples TG p177
Business magazines
in everyday living LB p264
Copies of school’s
Assessment TG p178
Lesson 9:
budget
Assessment LB p266
Access to Internet
Spokespeople from
financial institutions
Reinforcement:
Assessment:
Easier examples of new concepts introduced
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lessons 4 and 9
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Form of assessment:
Working from a variety of resources
Rubric 2 LO5 for Lesson 4
Engaging in complicated calculations
Memo (TG p178) for Lesson 9
Teacher reflection:
16
LESSON PLANS – Grade 9
Chapter 13: Statistics
Learning Areas: Maths
Duration: 15 hours
Learning Outcome
Assessment Standards
LO5:
Data Handling
Grade: 9
Weeks: 27- 29
Integration
Organises numerical data in different ways in order to summarise
Draws a variety of graphs by hand/technology to display and interpret
data
Critically reads and interprets data with awareness for sources of error,
and manipulation to draw conclusions and make predictions
Technology
LO1, 3
Natural Sciences
LO1
Economic and
Management Sciences
LO4
Social Sciences (Geog)
LO3
Life Orientation
LO1, 2
Content / Knowledge:
•
Organises numerical data in different ways, in order to summarise, determine measures of central
tendency / dispersion
• Draws a variety of graphs by hand / technology
• Draws bar graphs and double bar graphs, histograms with given and own intervals, pie charts, line and
broken line graphs, scatter plots
•
Critically reads and interprets data
Learning activities
Teaching methods/approach
Resources
Maths Today Grade 9
Lesson 1: Measures of central
Activity 1: (Baseline assessment)
Learner's Book and
tendency LB p268
Calculate the mean, median and mode of data
Teacher's Guide
TG p181
Lesson 2: Measures of
Activity 2: Calculate the range and interquartile range
Atlas
dispersion LB p271
TG p182
Coloured pencils
Lesson 3: Statistical graphs:
Activity 3: Interpret data displayed in bar graphs
Protractor
Bar graphs, double bar graphs
TG p183
STATS SA
and histograms LB p272
information
Lesson 4: Statistical graphs:
Activity 4: Interpret data displayed in a pie chart
Internet websites
Pie charts LB p275
TG p186
Lesson 5: Statistical graphs:
Activity 5: Interpret data displayed in broken-line graphs
Line and broken-line LB p276
TG p187
Lesson 6: Scatter plots
Activity 6: Interpret data displayed in scatter plots
LB p279
TG p190
Lesson 7: Misleading statistics Activity 7: Critically read and interpret data TG p191
LB p280
Assessment TG p192
Lesson 8:
Assessment LB p284
Reinforcement:
Assessment:
Easier examples of new concepts introduced
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lesson 3, 7 and 8
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Working from a variety of resources
Engaging in complicated calculations
Form of assessment:
Rubric 2 LO5 for Lesson 3
Rubric 3 LO 5 for Lesson 7
Memo (TG p192) for Lesson 8
Teacher reflection:
17
LESSON PLANS – Grade 9
Chapter 14: Probability
Learning Areas: Maths
Duration: 10 hours
Learning Outcome
Assessment Standards
LO5:
Data handling
Grade: 9
Weeks: 30 -31
Integration
Considers situations with equally probable outcomes
Economic and
Management Sciences
LO4
Technology
LO1, 3
Natural Sciences
LO1
Life Orientation
LO1, 2
Social Sciences (Geog)
LO3
Content / Knowledge:
•
•
Considers probable outcomes, determines probabilities
Determines outcomes of events, predicts relative frequency in simple experiments
•
Discusses differences between the probability of outcomes and their relative frequency
Learning activities
Teaching methods/approach
Resources
Lesson 1: Relative frequency
Activity 1: (Baseline assessment)
Mathematics today
LB p285
Toss coins to determine relative frequencies TG p195
Grade 9 Learner's
Book and Teacher's
Lesson 2: Probability of an
Activity 2: Count sweets to calculate the probability for
Guide
event LB p287
outcomes of events TG p196
Lesson 3: Table to calculate
Activity 3: Use tables to calculate probability TG p197
Four coins
probability LB p289
Packet of jelly beans
Lesson 4: Tree diagrams
Activity 4: Using tree diagrams to calculate probability
Two dice
LB p290
TG p198
Assessment TG p192
Lesson 5:
Assessment LB p292
Reinforcement:
Assessment:
Easier examples of new concepts introduced
Type of assessment:
Use of computer software for consolidation
Formal assessment for Lessons 2 and 5
Informal assessment: all other activities can be used for
informal assessment
Expanded opportunities:
Use of computer software for consolidation and
extra challenges
Form of assessment:
Working from a variety of resources
Rubric 3 LO5 for Lesson 2
Engaging in complicated calculations
Memo (TG p192) for Lesson 5 Piece of paper
Colour crayons
Koki pens
Access to the Internet or library
Teacher reflection:
18
19
Level 6
Can recognise and
represent, describe
and compare and
convert between
equivalent forms of
numbers meeting
all the requirements
and working on a
good level
Can excellently
recognise and
represent, describe
and compare and
convert between
equivalent forms of
numbers in more
than one way to a
very high level,
exceeding expected
requirements
Can recognise and
represent, describe
and compare and
convert between
equivalent forms of
numbers meeting
most of the
requirements
Level 5
Can fairly
recognise,
represent and
compare numbers
meeting an
adequate portion of
requirements
Level 4
Grade:
Date:
Level 7
Name:
Activity:
Can recognise,
represent and
compare numbers
with low levels of
competency
Level 3
Struggles to
recognise and/or
represent numbers
Level 2
Cannot recognise
and/or represent
numbers,
requirements not
met
Level 1
RUBRIC 1: MATHEMATICS
Learning Outcome 1: Numbers, Operations and Relationships: Recognising, classifying and representing numbers
20
Level 4
A fair achievement
meeting an
adequate portion
of the
requirements in
solving problems
involving numbers
and is sometimes
correct
Level 5
Solves problems
involving numbers
and is correct most
of the time meeting
most of the
requirements
Level 6
Solves problems
involving
numbers and is
correct most of
the time
meeting all the
requirements
and working on
a good level
Can
excellently
solve
problems
involving
numbers and
is correct
almost all of
the time,
exceeding
expected
requirements
Grade:
Date:
Level 7
Name:
Activity:
A moderate
achievement
partially satisfying
the requirements
solving problems
involving numbers
and is sometimes
correct
Level 3
Elementary
attempts to
solve
problems
involving
numbers and
is seldom
correct
Level 2
Unsatisfactory
attempts to solve
problems involving
numbers and is
seldom correct,
requirements not
met
Level 1
RUBRIC 2: MATHEMATICS
Learning Outcome 1: Numbers, Operations and Relationships: Application of numbers to problems
21
Level 4
A fair achievement
meeting an
adequate portion of
the requirements to
estimate and
calculate, perform
mental calculations,
and use a range of
techniques for
some of the
assessment
standards for this
grade to perform
calculations,
checking solutions
and is sometimes
correct
Level 5
Can estimate and
calculate, perform
mental calculations,
and use a range of
techniques as listed
in the assessment
standards for this
grade to perform
calculations,
checking solutions
with confidence and
is correct most of
the time
Level 6
Can estimate and
calculate, perform
mental calculations,
and use a range of
techniques as listed
in the assessment
standards for this
grade to perform
calculations,
checking solutions
with confidence and
meeting all the
requirements
Can excellently
estimate and
calculate, perform
mental calculations,
and use a range of
techniques as listed
in the assessment
standards for this
grade to perform
calculations,
checking solutions
efficiently and with
confidence,
exceeding the
requirements
Grade:
Date:
Level 7
Name:
Activity:
A moderate
achievement
partially satisfying
the requirements to
estimate and
calculate, perform
mental calculations,
and use a range of
techniques for
some of the
assessment
standards for this
grade to perform
calculations,
checking solutions
and is sometimes
correct
Level 3
Elementary
attempts to
estimate and
calculate and
perform mental
calculations for the
assessment
standards for this
grade and is
seldom correct
Level 2
RUBRIC 3: MATHEMATICS
Learning Outcome 1: Numbers, Operations and Relationships: Calculation types involving numbers
Unsatisfactory
attempts to
estimate and
calculate and
perform mental
calculations for the
assessment
standards for this
grade and is
seldom correct,
requirements not
met
Level 1
22
Level 4
Can fairly use a
range of properties
of numbers
appropriately,
correctly and with
confidence in order
to simplify
calculations
Level 5
Can use a range of
properties of
numbers
appropriately,
correctly and with
confidence in order
to simplify
calculations, is
correct most of the
time, meeting most
of the requirements
Level 6
Can use a range of
properties of
numbers
appropriately,
correctly and with
confidence in order
to simplify
calculations,
meeting all the
requirements and
working on a good
level
Can use a range of
properties of
numbers
excellently and with
confidence in order
to simplify
calculations,
exceeding expected
requirements
Grade:
Date:
Level 7
Name:
Activity:
Attempts to use
properties of
numbers to simplify
calculations with
moderate success
and only partially
satisfy the
requirements
Level 3
RUBRIC 4: MATHEMATICS
Learning Outcome 1: Numbers, Operations and Relationships: Properties of number
Makes no attempt
to use the
properties of
numbers to simplify
calculations with
just elementary
attempts
Level 2
Makes no attempt
to use the
properties of
numbers to simplify
calculations
Requirements not
met
Level 1
23
Level 5
Can extend
patterns and
describe, explain
and justify
relationships within
patterns in terms of
both consecutive
terms and the
position of the term
in the pattern
meeting most of the
requirements
Level 6
Can extend
patterns and
describe, explain
and justify
relationships within
patterns in terms of
both consecutive
terms and the
position of the term
in the pattern with
deliberate attempts
at efficiency,
meeting all the
requirements
Can extend
patterns excellently
and describe,
explain and justify
relationships within
patterns in terms of
both consecutive
terms and the
position of the term
in the pattern with
deliberate attempts
at efficiency,
exceeding expected
requirements
Can extend
patterns fairly and
describe, explain
and justify
relationships within
patterns in terms of
both consecutive
terms and the
position of the term
in the pattern,
meeting an
adequate portion of
requirements
Level 4
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 1: MATHEMATICS
Learning Outcome 2: Patterns, Functions and Algebra: Patterns
Can extend
patterns and
describe
relationships within
patterns in terms of
consecutive terms
in the pattern,
partially satisfying
the requirements
Level 3
Can extend
elementary
patterns, marginally
satisfying the
requirements
Level 2
Cannot extend
patterns, does not
meet requirements
Level 1
24
Level 4
Fair achievement in
solving equations
(number sentences)
using trial and
improvement with
success most of the
time and/or
describes a
problem situation in
a variety of ways,
meeting an
adequate portion of
the requirements
Level 5
Good achievement
in solving equations
(number sentences)
using trial and
improvement with
success most of the
time and/or
describes a
problem situation in
a variety of ways,
meeting most of the
requirements
Level 6
Solves equations
(number sentences)
on a good level
using trial and
improvement with
success almost all
of the time and/or
describes a
problem situation in
a variety of ways,
meeting all the
requirements
Solves equations
(number sentences)
excellently using
trial and
improvement with
success almost all
of the time and/or
describes a
problem situation in
a variety of ways,
exceeding expected
requirements
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 2: MATHEMATICS
Learning Outcome 2: Patterns, Functions and Algebra: Equations
Can determine
unknowns in
input/output
contexts and/or can
sometimes describe
a problem situation
using a number
sentence, partially
satisfying the
requirements
Level 3
Elementary
attempts to
determine output
values for given
input values
Level 2
Cannot solve
equations (number
sentences) by trialand-improvement
or algebraic
process
Level 1
25
Level 6
Can construct and
interpret
mathematical
models that
represent, describe
an provide solutions
to problems
Confidently
constructs and
interprets
mathematical
models that
represent, describe
an provide solutions
to problems
Can mostly
construct and
interpret
mathematical
models that
represent, describe
an provide solutions
to problems
Level 5
A fair achievement
in constructing and
interpreting
mathematical
models that
represent, describe
an provide solutions
to problems
Level 4
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 3: MATHEMATICS
Learning Outcome 2: Patterns, Functions and Algebra: Graph
Correctly answers
questions from
graphs some of the
time and draws
graphs. A moderate
achievement
partially satisfying
the requirements
Level 3
Partly answers
questions on
interpreting
mathematical
models
Level 2
Unsatisfactory
attempts to answer
questions on
mathematical
models that
represent, describe
and provide
solutions to
problem situations
Level 1
26
Level 4
Can fairly (for the
same situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation, meeting
an adequate portion
of the requirements
Level 5
Can (for the same
situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation meeting,
most of the
requirements
Level 6
Can (for the same
situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation with
flexibility,
meeting all the
requirements and
working on a good
level
Can (for the same
situation)
excellently
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation with
flexibility, exceeds
expected
requirements
Grade:
Date:
Level 7
Name:
Activity:
Can (for the same
situation)
demonstrate the
equivalence of
representations
given in the same
form (e.g. two
different verbal
descriptions, only
partially satisfying
the requirements
Level 3
RUBRIC 4: MATHEMATICS
Learning Outcome 2: Patterns, Functions and Algebra: Equivalent representations
Cannot (for the
same situation)
demonstrate the
equivalence of
different
representations
Level 2
Makes no attempt
(for the same
situation) to
demonstrate the
equivalence of
different
representations.
Requirements not
met
Level 1
27
Level 6
Uses conventions
of algebra good and
correctly and is
almost always
correct,
Meets all the
requirements and
working on a good
level
Level 7
Uses conventions
of algebra
excellently and
correctly and is
almost always
correct while
exceeding expected
requirements
Uses conventions
of algebra correctly
most of the time
meeting most of the
requirements
Level 5
Fairly uses
conventions of
algebra correctly
most of the time
Level 4
Often uses
conventions of
algebra correctly
partially satisfy the
requirements
Level 3
Elementary
attempts to use
conventions of
algebra and is
seldom correct
Level 2
RUBRIC 5: MATHEMATICS
Learning Outcome 2: Patterns, Functions and Algebra: Algebraic conventions (8 & 9 only)
Makes little attempt
to use conventions
of algebra and is
seldom correct
Level 1
28
Level 5
Can name,
compare and
classify 2-D shapes
and 3-D objects
given in different
positions in terms of
their properties,
meeting most of the
requirements
Level 6
Can name,
compare and
classify 2-D shapes
and 3-D objects
given in different
positions very good
in terms of their
properties beyond
those specified for
this grade meeting
all the requirements
Can excellently
name, compare and
classify 2-D shapes
and 3-D objects
given in different
positions in terms of
their properties
beyond those
specified for this
grade, exceeding
expected
requirements
Can name,
compare and
classify 2-D shapes
and 3-D objects
fairly given in
different positions in
terms of their
properties, meets
an adequate portion
of requirements
Level 4
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 1: MATHEMATICS
Learning Outcome 3: Space and Shape: Shapes and objects
Can name and
compare 2-D
shapes and 3-D
objects, given in
different positions,
in terms of their
properties, partially
satisfying the
requirements
Level 3
Can name some 2D and 3-D and
knows some of the
properties of 2-D
shapes and 3-D
objects in a given
position in
elementary way
and little satisfying
the requirements
Level 2
Cannot name some
2-D and 3-D
shapes and some
of the properties of
2-D shapes and 3D objects in a given
position, does not
meet requirements
Level 1
29
Level 5
Uses
transformations,
congruence axioms
and similarity
appropriately to
justify properties of
2-D shapes
correctly most of
the time Solves
equations (number
sentences) using
trial and
improvement with
success most of the
time and/or
describes a
problem situation in
a variety of ways
Solves problems
involving numbers
and is correct most
of the time, meeting
most of the
requirements
Level 6
Uses
transformations,
congruence axioms
and similarity
appropriately to
justify properties of
2-D shapes
correctly almost all
of the time Solves
equations (number
sentences) using
trial and
improvement with
success almost all
of the time and/or
describes a
problem situation in
a variety of ways
Solves problems
involving numbers
and is correct most
of the time,
meeting all the
requirements and
working on a good
level
Uses
transformations,
congruence axioms
and similarity
appropriately to
justify properties of
2-D shapes
excellently correct
almost all of the
time, exceeding
expected
requirements
Uses
transformations,
congruence axioms
and similarity
appropriately to
justify properties of
2-D shapes
correctly most of
the time Solves
equations (number
sentences) using
trial and
improvement with
success most of the
time and/or
describes a
problem situation in
a variety of ways A
fair achievement
meeting an
adequate portion of
the requirements in
solving problems
involving numbers
and is sometimes
correct
Level 4
Grade:
Date:
Level 7
Name:
Activity:
Attempts to use
transformations
and/or congruence
axioms and/or
similarity to justify
properties of 2-D
shapes and is
sometimes correct
Can determine
unknowns in
input/output
contexts and/or can
sometimes describe
a problem situation
using a number
sentence A
moderate
achievement
partially satisfying
the requirements
solving problems
involving numbers
and is sometimes
correct
Level 3
RUBRIC 2: MATHEMATICS
Learning Outcome 3: Space and Shape: Transformations, congruence and similarity
Attempts to use
transformations
and/or congruence
axioms and/or
similarity to justify
properties of 2-D
shapes and is
seldom correct Can
determine output
values for given
input values
Elementary
attempts to solve
problems involving
numbers and is
seldom correct
Level 2
Attempts to use
transformations
and/or congruence
axioms and/or
similarity to justify
properties of 2-D
shapes and is
seldom correct Can
determine output
values for given
input values
Unsatisfactory
attempts to solve
problems involving
numbers and is
seldom correct,
requirements not
met
Level 1
30
Level 4
Can locate position
and/or trace a path
and/or describe
movement between
points on various
grids Correctly
answers questions
about a situation
from a graph of the
situation some of
the time and draws
graphs A fair
achievement
meeting an
adequate portion of
the requirements
Level 5
Can locate position
and/or trace a path
and/or describe
movement between
points on various
grids Correctly
answers questions
about a situation
from a graph of the
situation most of
the time and draws
appropriate graphs
for a given situation
and with confidence
and is correct most
of the time
Level 6
Can locate position
and/or trace a path
and/or describe
movement between
points on various
grids in a variety of
ways. Correctly
answers questions
with insight about a
situation from a
graph of a situation
and draws very
good appropriate
graphs for a given
situation meeting all
the requirements
Can locate position
and/or trace a path
and/or describe
movement between
points on various
grids in a variety of
ways Correctly
answers questions
with insight about a
situation from a
graph of a situation
and draws excellent
and appropriate
graphs for a given
situation, exceeding
the requirements
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 3: MATHEMATICS
Learning Outcome 3: Space and Shape: Position
Can locate position
and/or trace a path
on a grid Correctly
answers questions
about a situation
from a graph of the
situation some of
the time and draws
graphs A moderate
achievement
partially satisfying
the requirements
Level 3
Cannot locate
position on a grid
Struggles to answer
questions about a
situation from a
graph.Is seldom
correct
Level 2
Cannot locate
position on a grid
unsatisfactory
Requirements not
met
Level 1
31
Level 6
Uses properties of
straight line and
triangle geometry in
good way and is
almost always
correct Can (for the
same situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation with
flexibility,
meeting all the
requirements and
working on a good
level
Excellently uses
properties of
straight line and
triangle geometry
and is almost
always correct Can
(for the same
situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation with
flexibility, exceeding
expected
requirements
Uses properties of
straight line and
triangle geometry
correctly most of
the time an (for the
same situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation, meeting
most of the
requirements
Level 5
Uses properties of
straight line and
triangle geometry
fairly and correctly
most of the time.
Can (for the same
situation)
demonstrate the
equivalence of
different
representations
selecting the most
useful for a given
situation
Level 4
Grade:
Date:
Level 7
Name:
Activity:
Often uses
properties of
straight line and
triangle geometry
correctly Can (for
the same situation)
demonstrate the
equivalence of
representations
given in the same
form (e.g. two
different verbal
descriptions, only
partially satisfy the
requirements .
Level 3
RUBRIC 4: MATHEMATICS
Learning Outcome 3: Space and Shape : Straight line geometry (Grades 8 & 9 only)
Attempts to use
properties of
straight line and
triangle geometry
and is seldom
correct. Cannot (for
the same situation)
demonstrate the
equivalence of
different
representations,
just elementary
attempts
Level 2
Makes no attempt
to use properties of
straight line and
triangle geometry
and is seldom
correct Cannot (for
the same situation)
demonstrate the
equivalence of
different
representations,
requirements not
met
Level 1
32
Level 6
Can measure and
solve problems very
well requiring and
involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision with
greater efficiency,
meeting all the
requirements
Can excellently
measure and solve
problems requiring
and involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision with
greater efficiency,
exceeding expected
requirements
Can measure and
solve problems
requiring and
involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision and is
almost always
correct, meeting
most of the
requirements
Level 5
Level 4
Can measure and
solve problems
requiring and
involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision and is
almost always
correct, meets an
adequate portion of
requirements
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 1: MATHEMATICS
Learning Outcome 4: Measurement: Measurement
Can measure
and/or solve
problems requiring
and involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision and is
sometimes correct,
only partially
satisfying the
requirements
Level 3
Can measure
and/or solve
problems requiring
and involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision and is
seldom correct,
marginally
satisfying the
requirements
Level 2
Cannot measure
and/or solve
problems requiring
and involving: the
selection of
appropriate
formulae;
conversion between
units; accuracy and
precision and is
seldom correct,
does not meet
requirements
Level 1
33
Level 6
Can pose good
questions and
identify data
sources and/or
collect and organise
data very
accurately selecting
good and using
appropriate
techniques beyond
those specified for
this grade, meeting
all the requirements
Can pose questions
and identify data
sources and/or
collect and organise
data excellently and
accurately selecting
and using
appropriate
techniques beyond
those specified for
this grade,
exceeding expected
requirements
Level 4
Can pose questions
and identify data
sources and/or
collect and organise
data accurately
selecting and using
appropriate
techniques. Can
pose questions
and/or collect and
organise data,
meeting an
adequate portion of
requirements
Level 5
Can pose questions
and identify data
sources and/or
collect and organise
data accurately
selecting and using
appropriate
techniques,
meeting most of the
requirements
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 1: MATHEMATICS
Learning Outcome 5: Data handling: Collecting and organising data
Moderate attempts
to pose questions
and/or collect and
organise data,
partially satisfying
the requirements
Level 3
Can collect data,
marginally
satisfying the
requirements
Level 2
Cannot collect data
Does not meet
requirements
Level 1
34
Level 4
A fair achievement
to draw accurate
graphs giving all
relevant information
and/or critically
answers questions
with justification and
makes realistic
predictions based
on given data,
meeting an
adequate portion of
the requirements
Level 5
Can draw accurate
graphs giving all
relevant information
and/or critically
answers questions
with justification and
makes realistic
predictions based
on given data,
meeting most of the
requirements
Level 6
Can draw accurate
and good graphs
giving all relevant
information and/or
critically answers
questions from
more than one
perspective with
justification and
makes realistic
predictions based
on given data,
meeting all the
requirements and
working on a good
level
Can draw accurate
and excellent
graphs giving all
relevant information
and/or critically
answers questions
from more than one
perspective with
justification and
makes realistic
predictions based
on given data,
exceeding expected
requirements
Grade:
Date:
Level 7
Name:
Activity:
Can draw graphs
giving relevant
information and/or
answers questions
and makes
predictions based
on given data Can
determine
unknowns in
input/output
contexts and/or can
sometimes describe
a problem situation
using a number
sentence. A
moderate
achievement
partially satisfying
the requirements
Level 3
RUBRIC 2: MATHEMATICS
Learning Outcome 5: Data handling: Representing and interpreting data
Elementary
attempts to draw
graphs giving some
relevant information
and/or answer
questions based on
given data. Can
determine output
values for given
input values
Level 2
Cannot draw graphs
and/or answer
questions based on
given data. Cannot
determine output
values for given
input values
Level 1
35
Level 4
Can fairly list all
possible outcomes
for events and
determine the
probability of these
outcomes and/or
determine/predict
relative frequencies
of outcomes in
simple experiments,
meeting an
adequate portion of
the requirements
Level 5
Can list all possible
outcomes for events
and determine the
probability of these
outcomes and/or
determine/predict
relative frequencies
of outcomes in
simple experiments,
meeting most of the
requirements
Level 6
Can list all possible
outcomes for events
and determine the
probability of these
outcomes and/or
determine/predict
relative frequencies
of outcomes in
simple experiments
with recognition of
the difference
between the
probability of
outcomes and their
relative frequency,
meeting all the
requirements
Can excellently list
all possible
outcomes for events
and determine the
probability of these
outcomes and/or
determine/predict
relative frequencies
of outcomes in
simple experiments
with recognition of
the difference
between the
probability of
outcomes and their
relative frequency,
exceeding the
requirements
Grade:
Date:
Level 7
Name:
Activity:
RUBRIC 3: MATHEMATICS
Learning Outcome 5: Data handling: Probability
Can list possible
outcomes for and
event and/or
determine/predict
relative frequency of
outcomes for simple
experiments. A
moderate
achievement
partially satisfying
the requirements
Level 3
Makes elementary
attempts to list
possible outcomes
for events and is
seldom correct
Level 2
Cannot list possible
outcomes for
events,
Requirements not
met
Level 1