CAPS Grade 6 English Grade 6.pdfTriangles, squares, rectangles, parallelograms, other...

CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6

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GRADE 6_CAPS CurriculumGRADE 6_CAPS CurriculumGRADE 6_CAPS CurriculumGRADE 6_CAPS Curriculum

Term 1Term 1Term 1Term 1

TOPICSTOPICSTOPICSTOPICS CONCEPTSCONCEPTSCONCEPTSCONCEPTS CAMI KeysCAMI KeysCAMI KeysCAMI Keys

Mental Mental Mental Mental MathematicsMathematicsMathematicsMathematics

Mental calculations involving:Mental calculations involving:Mental calculations involving:Mental calculations involving:

• Addition and subtraction facts of: � Units � Multiples of 10 � Multiples of 100 � Multiples of 1 000

• Multiplication of whole numbers to at least 12 × 12

• Multiplication facts of: � Units by multiples of 10 � Units by multiples of 100 � Units by multiples of 1 000 � Units by multiples of 10 000

Number range for counting, ordering, Number range for counting, ordering, Number range for counting, ordering, Number range for counting, ordering,

comparing and representing numbers and for comparing and representing numbers and for comparing and representing numbers and for comparing and representing numbers and for

the place value of digitsthe place value of digitsthe place value of digitsthe place value of digits

• Order, compare and represent numbers to at least 9-digit numbers

• Represent prime numbers to at least 100

• Recognize the place value of digits in whole numbers to at least 9-digit

numbers

• Rounding off to the nearest 5, 10, 100 and 1 000

Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques Use a range of techniques to perform and

check written and mental calculations of whole numbers including:

• Estimation • Adding, subtracting and multiplying in columns

• Long division • Building up and breaking down

3.3.3.103.3.3.103.3.3.103.3.3.10 3.3.4.93.3.4.93.3.4.93.3.4.9

3.3.5.93.3.5.93.3.5.93.3.5.9

3.3.5.43.3.5.43.3.5.43.3.5.4

3.3.6.93.3.6.93.3.6.93.3.6.9

3.3.6.43.3.6.43.3.6.43.3.6.4 1.2.8.21.2.8.21.2.8.21.2.8.2

1.2.8.31.2.8.31.2.8.31.2.8.3 3.5.4.13.5.4.13.5.4.13.5.4.1

3.5.4.23.5.4.23.5.4.23.5.4.2

3.5.4.33.5.4.33.5.4.33.5.4.3 3.5.6.13.5.6.13.5.6.13.5.6.1

3.5.6.23.5.6.23.5.6.23.5.6.2

3.5.6.33.5.6.33.5.6.33.5.6.3

3.5.5.33.5.5.33.5.5.33.5.5.3

1.1.8.71.1.8.71.1.8.71.1.8.7

1.8.2.11.8.2.11.8.2.11.8.2.1

1.8.2.21.8.2.21.8.2.21.8.2.2

1.8.2.31.8.2.31.8.2.31.8.2.3 1.8.2.41.8.2.41.8.2.41.8.2.4

1.8.1.21.8.1.21.8.1.21.8.1.2

1.1.9.101.1.9.101.1.9.101.1.9.10

1.7.1.51.7.1.51.7.1.51.7.1.5

1.7.1.61.7.1.61.7.1.61.7.1.6

1.7.6.31.7.6.31.7.6.31.7.6.3 1.7.6.41.7.6.41.7.6.41.7.6.4


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numbers

• Using addition and subtraction as inverse operations

• Using multiplication and division as inverse operations

Number range for multiples and factorsNumber range for multiples and factorsNumber range for multiples and factorsNumber range for multiples and factors

• Multiples of 2-digit and 3-digit numbers

• Factors of 2-digit and 3-digit numbers

Properties of whole numbersProperties of whole numbersProperties of whole numbersProperties of whole numbers

• Recognize and use the commutative, associative and distributive properties

of whole numbers

• 0 in terms of its additive property • 1 in terms of its multiplicative property

1.7.7.21.7.7.21.7.7.21.7.7.2

1.7.7.31.7.7.31.7.7.31.7.7.3 1.7.7.41.7.7.41.7.7.41.7.7.4 1.7.7.51.7.7.51.7.7.51.7.7.5

1.7.7.61.7.7.61.7.7.61.7.7.6

1.2.8.11.2.8.11.2.8.11.2.8.1

1.11.11.11.1

Whole numbersWhole numbersWhole numbersWhole numbers

Counting, ordering

representing and

place value of

digits

Number range for counting, ordering and Number range for counting, ordering and Number range for counting, ordering and Number range for counting, ordering and

representing, and place value of digitsrepresenting, and place value of digitsrepresenting, and place value of digitsrepresenting, and place value of digits

• Order, compare and represent numbers up to at least 9-digit numbers



numbers

• Round off to the nearest 5, 10, 100 and 1 000

1.7.8.51.7.8.51.7.8.51.7.8.5

1.1.8.71.1.8.71.1.8.71.1.8.7

1.8.2.11.8.2.11.8.2.11.8.2.1 1.8.2.21.8.2.21.8.2.21.8.2.2 1.8.2.31.8.2.31.8.2.31.8.2.3

1.8.2.41.8.2.41.8.2.41.8.2.4

1.8.1.21.8.1.21.8.1.21.8.1.2

1.8.1.31.8.1.31.8.1.31.8.1.3

1.1.9.101.1.9.101.1.9.101.1.9.10 1.7.1.51.7.1.51.7.1.51.7.1.5

1.7.1.61.7.1.61.7.1.61.7.1.6

2.12.12.12.1

Number Number Number Number

sentencessentencessentencessentences

(introduction to algebraic

expressions)

Number sentencesNumber sentencesNumber sentencesNumber sentences

• Write number sentences to describe problem situations

• Solve and complete number sentences by

� Inspection � Trial and improvement

• Check solutions by substitution

4.1.2.44.1.2.44.1.2.44.1.2.4


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1.11.11.11.1

Whole numbers Whole numbers Whole numbers Whole numbers

Addition and

subtraction

Number range for counting, orderinNumber range for counting, orderinNumber range for counting, orderinNumber range for counting, ordering, g, g, g,

comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value

of digitsof digitsof digitsof digits

• Order, compare and represent numbers at least 9-digit numbers


• Recognizing the place value of digits in whole numbers to at least 9-digit

numbers


Number range for calculationsNumber range for calculationsNumber range for calculationsNumber range for calculations

• Addition and subtraction of whole numbers with at least 6-digits

• Multiple operations on whole numbers with or without brackets

Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques

Using a range of techniques to perform and check written and mental calculations with

whole numbers including:

• Estimation • Adding, subtracting in columns • Building up and breaking down numbers

• Rounding off and compensating • Using addition and subtraction as inverse operations

• Using a calculator



of whole numbers

1.2.6.91.2.6.91.2.6.91.2.6.9 1.2.6.101.2.6.101.2.6.101.2.6.10

1.3.7.41.3.7.41.3.7.41.3.7.4

1.7.10.101.7.10.101.7.10.101.7.10.10

1.7.5.11.7.5.11.7.5.11.7.5.1 1.7.5.21.7.5.21.7.5.21.7.5.2

1.7.5.31.7.5.31.7.5.31.7.5.3 1.7.5.41.7.5.41.7.5.41.7.5.4

1.7.5.51.7.5.51.7.5.51.7.5.5

1.7.5.61.7.5.61.7.5.61.7.5.6 1.7.5.71.7.5.71.7.5.71.7.5.7

1.7.5.81.7.5.81.7.5.81.7.5.8


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• 0 in terms of its additive property

Solving problemsSolving problemsSolving problemsSolving problems

• Solve problems involving whole numbers and decimal fractions,

including:

� Financial contexts � Measurement contexts

• Solve problems involving whole numbers, including comparing two or

more quantities of the same kind

(ratio)

10.6.2.310.6.2.310.6.2.310.6.2.3

10.6.2.410.6.2.410.6.2.410.6.2.4

3.8.4.73.8.4.73.8.4.73.8.4.7

10.6.5.510.6.5.510.6.5.510.6.5.5

1.21.21.21.2

Common Common Common Common

fractionsfractionsfractionsfractions

Describing and orderingDescribing and orderingDescribing and orderingDescribing and ordering fractions fractions fractions fractions

Compare and order common fraction,

including specifically tenths and hundredths.

Calculations with fractionsCalculations with fractionsCalculations with fractionsCalculations with fractions

• Addition and subtraction of common fractions in which one denominator is

a multiple of another

• Addition and subtraction of mixed numbers

• Fractions of whole numbers

Solving problemsSolving problemsSolving problemsSolving problems Solve problems in contexts involving common fractions, including grouping and

sharing.

PercentagesPercentagesPercentagesPercentages Find percentages of whole numbers

Equivalent formsEquivalent formsEquivalent formsEquivalent forms

Learners should recognizeLearners should recognizeLearners should recognizeLearners should recognize

• Equivalent forms of common fractions with 1-digit or 2-digit denominators (denominators which are multiples of

each other)

• Equivalence between common

2.2.1.22.2.1.22.2.1.22.2.1.2

2.2.1.32.2.1.32.2.1.32.2.1.3

2.2.1.42.2.1.42.2.1.42.2.1.4

2.2.3.22.2.3.22.2.3.22.2.3.2 3.4.6.53.4.6.53.4.6.53.4.6.5

3.4.6.63.4.6.63.4.6.63.4.6.6

2.1.3.32.1.3.32.1.3.32.1.3.3

2.1.4.42.1.4.42.1.4.42.1.4.4 2.1.5.32.1.5.32.1.5.32.1.5.3 2.1.5.62.1.5.62.1.5.62.1.5.6

2.2.1.12.2.1.12.2.1.12.2.1.1

2.2.2.42.2.2.42.2.2.42.2.2.4

2.2.2.52.2.2.52.2.2.52.2.2.5

2.2.2.62.2.2.62.2.2.62.2.2.6 2.2.2.72.2.2.72.2.2.72.2.2.7

2.2.2.82.2.2.82.2.2.82.2.2.8 2.2.3.12.2.3.12.2.3.12.2.3.1

2.2.3.32.2.3.32.2.3.32.2.3.3

2.2.3.42.2.3.42.2.3.42.2.3.4

2.2.3.52.2.3.52.2.3.52.2.3.5 2.2.3.62.2.3.62.2.3.62.2.3.6

2.2.3.72.2.3.72.2.3.72.2.3.7

2.2.3.82.2.3.82.2.3.82.2.3.8

2.2.3.92.2.3.92.2.3.92.2.3.9 2.2.3.102.2.3.102.2.3.102.2.3.10 2.2.4.12.2.4.12.2.4.12.2.4.1

2.2.4.22.2.4.22.2.4.22.2.4.2


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fraction and decimal fraction forms of

the same number

• Equivalence between common fraction, decimal fraction and

percentage forms of the same number

2.2.4.32.2.4.32.2.4.32.2.4.3

2.2.4.42.2.4.42.2.4.42.2.4.4

2.2.5.102.2.5.102.2.5.102.2.5.10

2.2.5.72.2.5.72.2.5.72.2.5.7

2.2.5.82.2.5.82.2.5.82.2.5.8 2.2.5.92.2.5.92.2.5.92.2.5.9

2.3.5.12.3.5.12.3.5.12.3.5.1 2.3.5.22.3.5.22.3.5.22.3.5.2

2.3.5.32.3.5.32.3.5.32.3.5.3

4.44.44.44.4

TimeTimeTimeTime

Reading time and time instrumentsReading time and time instrumentsReading time and time instrumentsReading time and time instruments

Read, tell and write time in 12-hour and 24-

hour formats on both analogue and digital

instruments in

• Hours • Minutes • Seconds

Instruments include clocks, watches and stopwatches.

Reading caleReading caleReading caleReading calendarsndarsndarsndars

Calculations and problemCalculations and problemCalculations and problemCalculations and problem----solving related to solving related to solving related to solving related to timetimetimetime Solve problems in contexts involving time.

Read time zone maps and calculating time

differences based on time zones.

Calculation of time intervals where time is

given in

• Seconds and/or minutes • Minutes and/or hours • Hours and/or days • Days and/or weeks and/or months • Years and/or decades • Centuries, decades and years

History of timeHistory of timeHistory of timeHistory of time

Know some ways in which time was

measured and represented in the past.

3.8.6.63.8.6.63.8.6.63.8.6.6

9.2.1.59.2.1.59.2.1.59.2.1.5

9.2.1.69.2.1.69.2.1.69.2.1.6

9.2.1.79.2.1.79.2.1.79.2.1.7 9.2.1.89.2.1.89.2.1.89.2.1.8 9.2.1.99.2.1.99.2.1.99.2.1.9

9.2.2.39.2.2.39.2.2.39.2.2.3

9.2.2.49.2.2.49.2.2.49.2.2.4

9.2.2.59.2.2.59.2.2.59.2.2.5 9.2.2.69.2.2.69.2.2.69.2.2.6

9.2.2.89.2.2.89.2.2.89.2.2.8

9.2.3.19.2.3.19.2.3.19.2.3.1

9.2.3.39.2.3.39.2.3.39.2.3.3 9.2.3.29.2.3.29.2.3.29.2.3.2 9.2.3.49.2.3.49.2.3.49.2.3.4

9.2.3.59.2.3.59.2.3.59.2.3.5

9.2.4.39.2.4.39.2.4.39.2.4.3

3.8.6.53.8.6.53.8.6.53.8.6.5

9.2.2.109.2.2.109.2.2.109.2.2.10 3.8.6.53.8.6.53.8.6.53.8.6.5


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3.13.13.13.1

Properties of Properties of Properties of Properties of

2222----D shapesD shapesD shapesD shapes

Shapes learners need to know and nameShapes learners need to know and nameShapes learners need to know and nameShapes learners need to know and name

• Regular and irregular polygons � Triangles, squares, rectangles, parallelograms, other

quadrilaterals, pentagons, hexagons, heptagons, octagons

• Similarities and differences between rectangles and parallelograms

Features of shapesFeatures of shapesFeatures of shapesFeatures of shapes Describe, sort and compare 2-D shapes in

terms of

• Numbers of sides • Length of sides • Size of angles

� Acute � Right � Obtuse � Straight � Reflex � Revolution

Further activitiesFurther activitiesFurther activitiesFurther activities

• Draw 2-D shapes on grid paper • Draw circles, patterns in circles and patterns with circles using a pair of compasses

AngleAngleAngleAnglessss

Recognize and name the following angles in

2-D shapes:

• Acute • Right • Obtuse • Straight • Reflex • Revolution

8.1.1.58.1.1.58.1.1.58.1.1.5

8.1.4.18.1.4.18.1.4.18.1.4.1 8.1.4.28.1.4.28.1.4.28.1.4.2

5.15.15.15.1

Collecting and Collecting and Collecting and Collecting and

Collect dataCollect dataCollect dataCollect data

• Use tally marks and tables for


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organizing dataorganizing dataorganizing dataorganizing data

recording

• Use simple questionnaires (yes/no type response)

Order data from smallest group to largest

group.

10.1.1.310.1.1.310.1.1.310.1.1.3

5.25.25.25.2

Representing Representing Representing Representing

datadatadatadata

Draw a variety of graphs to display and Draw a variety of graphs to display and Draw a variety of graphs to display and Draw a variety of graphs to display and

interpret data including:interpret data including:interpret data including:interpret data including:

• Pictographs with many-to-one representations

• Bar graphs and double bar graphs

10.1.2.310.1.2.310.1.2.310.1.2.3

10.1.2.410.1.2.410.1.2.410.1.2.4 10.1.2.510.1.2.510.1.2.510.1.2.5

5.35.35.35.3

Analyzing, Analyzing, Analyzing, Analyzing, interpreting and interpreting and interpreting and interpreting and

reporting datareporting datareporting datareporting data

Critically read and interpret data represented Critically read and interpret data represented Critically read and interpret data represented Critically read and interpret data represented

inininin

• Words • Pictographs • Bar graphs • Double graphs • Pie graphs

Analyze data by answering questionsAnalyze data by answering questionsAnalyze data by answering questionsAnalyze data by answering questions related related related related totototo

• Data categories, including data intervals

• Data sources and contexts • Central tendencies – (mode and median)

Summarize data verbally and in short written Summarize data verbally and in short written Summarize data verbally and in short written Summarize data verbally and in short written paragraphs that includeparagraphs that includeparagraphs that includeparagraphs that include

• Drawing conclusions about data • Making predictions based on the data

Examine ungrouped numerical data to Examine ungrouped numerical data to Examine ungrouped numerical data to Examine ungrouped numerical data to

determinedeterminedeterminedetermine

• The most frequently occurring score in the data set (mode)

• The middlemost score in a data set(median)

10.1.2.610.1.2.610.1.2.610.1.2.6

10.1.4.210.1.4.210.1.4.210.1.4.2 10.1.4.110.1.4.110.1.4.110.1.4.1

10.3.1.210.3.1.210.3.1.210.3.1.2

2.12.12.12.1 Investigate and extend patternsInvestigate and extend patternsInvestigate and extend patternsInvestigate and extend patterns


- 8 -

Numeric Numeric Numeric Numeric

patternspatternspatternspatterns • Investigate and extend numeric patterns looking for relationships or

rules of patterns:

� Sequences involving a constant difference or ratio

� Of learner’s own words

Input and output valuesInput and output valuesInput and output valuesInput and output values

Determine input values, output values and rules for patterns and relationships using flow diagrams.


Determine equivalence of different

descriptions of the same relationship or rule presented

• Verbally • In a flow diagram • By a number sentence

3.2.5.13.2.5.13.2.5.13.2.5.1

3.2.5.23.2.5.23.2.5.23.2.5.2

3.2.6.33.2.6.33.2.6.33.2.6.3

4.1.2.54.1.2.54.1.2.54.1.2.5

4.1.2.64.1.2.64.1.2.64.1.2.6 4.1.4.14.1.4.14.1.4.14.1.4.1


Mental Mental Mental Mental mathematicsmathematicsmathematicsmathematics

Same as Term 1Same as Term 1Same as Term 1Same as Term 1

1.11.11.11.1


Counting,

ordering, comparing,

representing

digits


representing, and place value of digitsrepresenting, and place value of digitsrepresenting, and place value of digitsrepresenting, and place value of digits




numbers


1.1.8.71.1.8.71.1.8.71.1.8.7

1.8.2.11.8.2.11.8.2.11.8.2.1

1.8.2.21.8.2.21.8.2.21.8.2.2 1.8.2.31.8.2.31.8.2.31.8.2.3

1.8.2.41.8.2.41.8.2.41.8.2.4

1.8.1.21.8.1.21.8.1.21.8.1.2

1.1.9.101.1.9.101.1.9.101.1.9.10

1.7.1.51.7.1.51.7.1.51.7.1.5 1.7.1.61.7.1.61.7.1.61.7.1.6

1.11.11.11.1 Whole numbersWhole numbersWhole numbersWhole numbers

Multiplication

Number range for counting, ordering, Number range for counting, ordering, Number range for counting, ordering, Number range for counting, ordering, comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value



• Represent prime numbers to at least


- 9 -

100


numbers

• Round off to the nearest 5, 10, 100 or 1 000


• Multiplication of at least whole 4-digit by 3-digit numbers


Calculation techniques includeCalculation techniques includeCalculation techniques includeCalculation techniques include

• Estimation • Multiplying in columns • Building up and breaking down numbers

• Rounding off and compensating • Using a calculator


• Multiples of 2-digit and 3-digits numbers

• Factors of 2-digit and 3-digit whole numbers

• Prime factors of numbers to at least 100



of whole numbers




1.4.4.51.4.4.51.4.4.51.4.4.5

1.4.6.81.4.6.81.4.6.81.4.6.8 3.8.3.63.8.3.63.8.3.63.8.3.6


- 10 -

including:


• Solve problems involving whole numbers, including

� Comparing two or more quantities of the same kind (ratio)

� Comparing two quantities of different kinds (rate)

3.8.7.33.8.7.33.8.7.33.8.7.3

3.23.23.23.2

Properties ofProperties ofProperties ofProperties of

3 3 3 3----D objectsD objectsD objectsD objects

Objects learners need to know and nameObjects learners need to know and nameObjects learners need to know and nameObjects learners need to know and name

• Rectangular prisms • Cubes • Tetrahedrons and other pyramids • Similarities and differences between tetrahedrons and other pyramids

Features leFeatures leFeatures leFeatures learners use to distinguish, describe, arners use to distinguish, describe, arners use to distinguish, describe, arners use to distinguish, describe,

sort and compare objectssort and compare objectssort and compare objectssort and compare objects

Describe, sort and compare 2-D shapes and

3-D objects in terms of:

• Number and shape of faces • Number of vertices • Number of edges

Further activities to focus learners on Further activities to focus learners on Further activities to focus learners on Further activities to focus learners on

characteristics of objectcharacteristics of objectcharacteristics of objectcharacteristics of objectssss

Make 3-D models using:

• Drinking straws/toothpicks, etc. to form a skeleton

• nets

8.1.2.48.1.2.48.1.2.48.1.2.4

Class activityClass activityClass activityClass activity

2.22.22.22.2 Geometric Geometric Geometric Geometric

patternspatternspatternspatterns

Investigate and extend patternsInvestigate and extend patternsInvestigate and extend patternsInvestigate and extend patterns

• Investigate and extend geometric patterns looking for relationships or

rules of patterns:

� represented in physical or diagram form

� sequences involving a constant difference or ratio

4.1.1.74.1.1.74.1.1.74.1.1.7


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� of learner’s own creation • Describe observed relationships or rules in learner’s own words

Input and output vaInput and output vaInput and output vaInput and output valueslueslueslues Determine input values, output values and

rules for the patterns and relationships using

flow diagrams

Equivalent formsEquivalent formsEquivalent formsEquivalent forms Determine equivalence of different

descriptions of the same relationship or rule

presented:


3.33.33.33.3 SymmetrySymmetrySymmetrySymmetry

Recognize, draw and describe lines of Recognize, draw and describe lines of Recognize, draw and describe lines of Recognize, draw and describe lines of symmetry in 2symmetry in 2symmetry in 2symmetry in 2----D shapesD shapesD shapesD shapes

8.10.1.58.10.1.58.10.1.58.10.1.5

1.11.11.11.1

Whole numbersWhole numbersWhole numbersWhole numbers Division

Number range fNumber range fNumber range fNumber range for counting, ordering and or counting, ordering and or counting, ordering and or counting, ordering and

representing, and place valuerepresenting, and place valuerepresenting, and place valuerepresenting, and place value



• Recognize the place value of digits in whole numbers up to at least 9-digit

numbers

• Round off to the nearest 5, 10, 100 and 1000


• Division of at least whole 4-digit by 3-digit numbers



• Estimation • Using the reciprocal relationship

1.5.8.21.5.8.21.5.8.21.5.8.2

3.5.5.33.5.5.33.5.5.33.5.5.3

1.5.3.81.5.3.81.5.3.81.5.3.8

1.5.5.81.5.5.81.5.5.81.5.5.8

1.5.7.41.5.7.41.5.7.41.5.7.4


- 12 -

between multiplication and division

• Long division • Building up and breaking down numbers



• Multiples of 2-digit and 3-digit numbers


• Prime factors of numbers up to at least 100



of whole numbers


SolvinSolvinSolvinSolving problemsg problemsg problemsg problems


including:


• Solve problems involving whole numbers, including: � Comparing two or more quantities of the same kind (ratio)

� Comparing two quantities of different kind (rate)

� Grouping and equal sharing with remainders

1.31.31.31.3

Decimal Decimal Decimal Decimal fractionsfractionsfractionsfractions

Recognizing, ordering and place value of Recognizing, ordering and place value of Recognizing, ordering and place value of Recognizing, ordering and place value of

decimal fractionsdecimal fractionsdecimal fractionsdecimal fractions

• Count forwards and backwards in

2.3.1.12.3.1.12.3.1.12.3.1.1 2.3.1.22.3.1.22.3.1.22.3.1.2


- 13 -

decimal fractions to at least two

decimal places

• Compare and order decimal fractions to at least two decimal places

• Place value of digits to at least two decimal places

Calculations with decimal fractionsCalculations with decimal fractionsCalculations with decimal fractionsCalculations with decimal fractions

• Addition and subtraction of decimal fractions of at least two decimal places

• Multiply decimal fractions by 10 and 100


Solve problems in context involving decimal fractions

Equivalent formsEquivalent formsEquivalent formsEquivalent forms Recognize equivalence between common

fraction and decimal fraction forms of the

same number

2.3.1.32.3.1.32.3.1.32.3.1.3

2.3.1.42.3.1.42.3.1.42.3.1.4

2.3.1.52.3.1.52.3.1.52.3.1.5

2.3.1.62.3.1.62.3.1.62.3.1.6

2.3.2.12.3.2.12.3.2.12.3.2.1 2.3.2.22.3.2.22.3.2.22.3.2.2

2.3.4.12.3.4.12.3.4.12.3.4.1 2.3.4.22.3.4.22.3.4.22.3.4.2

2.3.4.52.3.4.52.3.4.52.3.4.5

2.3.4.62.3.4.62.3.4.62.3.4.6 2.3.4.72.3.4.72.3.4.72.3.4.7

2.3.5.42.3.5.42.3.5.42.3.5.4

2.3.5.52.3.5.52.3.5.52.3.5.5

2.3.5.72.3.5.72.3.5.72.3.5.7

2.3.5.82.3.5.82.3.5.82.3.5.8 2.3.5.92.3.5.92.3.5.92.3.5.9 2.3.6.12.3.6.12.3.6.12.3.6.1

2.3.9.42.3.9.42.3.9.42.3.9.4

3.2.4.43.2.4.43.2.4.43.2.4.4

2.3.5.22.3.5.22.3.5.22.3.5.2

2.3.5.32.3.5.32.3.5.32.3.5.3 3.4.7.13.4.7.13.4.7.13.4.7.1

3.4.7.23.4.7.23.4.7.23.4.7.2 3.4.7.33.4.7.33.4.7.33.4.7.3

3.4.7.53.4.7.53.4.7.53.4.7.5

3.4.7.43.4.7.43.4.7.43.4.7.4 3.4.7.63.4.7.63.4.7.63.4.7.6

3.8.5.33.8.5.33.8.5.33.8.5.3

4.34.34.34.3 Capacity/volumeCapacity/volumeCapacity/volumeCapacity/volume

Practical measuring of 3Practical measuring of 3Practical measuring of 3Practical measuring of 3----D objects by D objects by D objects by D objects by Estimating, measuring, recording, comparing

and ordering

Measuring instrumentsMeasuring instrumentsMeasuring instrumentsMeasuring instruments

Measuring jugs

UnitsUnitsUnitsUnits

Millitres (ml), litres(l) and kilolitres (kl)

Calculations and problemCalculations and problemCalculations and problemCalculations and problem----solving related to solving related to solving related to solving related to capacity/volume include:capacity/volume include:capacity/volume include:capacity/volume include:

3.8.6.43.8.6.43.8.6.43.8.6.4

9.1.3.59.1.3.59.1.3.59.1.3.5


- 14 -

• Solving problems in context with capacity

• Converting between kilolitres, litres and milliliters

• Conversions should include fraction and decimal forms to 2 decimal places


Mental Mental Mental Mental

mathematicsmathematicsmathematicsmathematics


4.24.24.24.2

MMMMassassassass

Practical measuring of 3Practical measuring of 3Practical measuring of 3Practical measuring of 3----D objects byD objects byD objects byD objects by

• Estimating • Measuring • Recording • Comparing and ordering

Measuring instrumentsMeasuring instrumentsMeasuring instrumentsMeasuring instruments Bathroom scales (analogue and digital),

kitchen scales (analogue and digital) and

balances


Grams (g) and kilograms (kg)

CalculatiCalculatiCalculatiCalculations and problemons and problemons and problemons and problem----solving related to solving related to solving related to solving related to mass include:mass include:mass include:mass include:

Solve problems in context using mass.

Converting between grams and kilograms.

Conversions should include fraction and

decimal forms (to 2 decimal places)

9.1.2.59.1.2.59.1.2.59.1.2.5 9.1.2.69.1.2.69.1.2.69.1.2.6


3.8.6.23.8.6.23.8.6.23.8.6.2

1.11.11.11.1


Counting, ordering, comparing,

representing

digits


representing, and representing, and representing, and representing, and place value of digitsplace value of digitsplace value of digitsplace value of digits




numbers

• Round off to the nearest 5, 10, 100

1.1.8.71.1.8.71.1.8.71.1.8.7

1.8.2.11.8.2.11.8.2.11.8.2.1 1.8.2.21.8.2.21.8.2.21.8.2.2 1.8.2.31.8.2.31.8.2.31.8.2.3

1.8.2.41.8.2.41.8.2.41.8.2.4

1.8.1.21.8.1.21.8.1.21.8.1.2

1.1.9.101.1.9.101.1.9.101.1.9.10

1.7.1.51.7.1.51.7.1.51.7.1.5 1.7.1.61.7.1.61.7.1.61.7.1.6


- 15 -

and 1 000

1.11.11.11.1


Addition and subtraction

Number range Number range Number range Number range for counting, ordering, for counting, ordering, for counting, ordering, for counting, ordering,

comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value


• Order, compare and represent numbers at least 9-digit numbers


• Recognizing the place value of digits in whole numbers to at least 9-digit

numbers



• Addition and subtraction of whole numbers with at least 6-digits


Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques Using a range of techniques to perform and

check written and mental calculations with

whole numbers including:

• Estimation • Adding, subtracting in columns • Building up and breaking down numbers

• Rounding off and compensating • Using addition and subtraction as inverse operations

• Using a calculator



of whole numbers

• 0 in terms of its additive property


1.2.6.91.2.6.91.2.6.91.2.6.9

1.2.6.101.2.6.101.2.6.101.2.6.10

1.3.7.41.3.7.41.3.7.41.3.7.4

1.7.5.11.7.5.11.7.5.11.7.5.1

1.7.5.21.7.5.21.7.5.21.7.5.2

1.7.5.31.7.5.31.7.5.31.7.5.3

1.7.5.41.7.5.41.7.5.41.7.5.4 1.7.5.51.7.5.51.7.5.51.7.5.5

1.7.5.61.7.5.61.7.5.61.7.5.6 1.7.5.71.7.5.71.7.5.71.7.5.7

1.7.5.81.7.5.81.7.5.81.7.5.8


- 16 -


including:


• Solve problems involving whole numbers, including comparing two or

more quantities of the same kind (ratio)

3.8.4.73.8.4.73.8.4.73.8.4.7

3.53.53.53.5 Viewing objectsViewing objectsViewing objectsViewing objects

Position and viewsPosition and viewsPosition and viewsPosition and views Link the position of viewer to views of single

or composite objects, or collections of objects, can include both everyday and

geometric objects.

3.13.13.13.1 Properties of Properties of Properties of Properties of

2222----D shapes D shapes D shapes D shapes

Shapes Shapes Shapes Shapes learners need to know and namelearners need to know and namelearners need to know and namelearners need to know and name

• Regular and irregular polygons � Triangles, squares, rectangles, parallelograms, other

quadrilaterals, pentagons,

hexagons, heptagons, octagons

• Similarities and differences between rectangles and parallelograms

Features of shFeatures of shFeatures of shFeatures of shapesapesapesapes

Describe, sort and compare 2-=D shapes in

terms of

• Numbers of sides • Length of sides • Size of angles

� Acute � Right � Obtuse � Straight � Reflex � Revolution

Further activitiesFurther activitiesFurther activitiesFurther activities

8.1.1.58.1.1.58.1.1.58.1.1.5

8.1.4.18.1.4.18.1.4.18.1.4.1

8.1.4.28.1.4.28.1.4.28.1.4.2


- 17 -

• Draw 2-D shapes on grid paper • Draw circles, patterns in circles and patterns with circles using a pair of compasses


3.43.43.43.4

TransformationsTransformationsTransformationsTransformations

Describe paDescribe paDescribe paDescribe patternstternstternstterns

Refer to lines, 2-D shapes, 3-D objects and/or

lines of symmetry and/or rotations and/or

reflections and/or translations when describing patterns in

• Nature • From modern everyday life • From our cultural heritage

Enlargement and reductionEnlargement and reductionEnlargement and reductionEnlargement and reduction

Draw enlargement and reductions of 2-D

shapes to compare size and shape of

• Triangles • Quadrilaterals

8.10.2.18.10.2.18.10.2.18.10.2.1

8.10.2.28.10.2.28.10.2.28.10.2.2

8.10.2.38.10.2.38.10.2.38.10.2.3 8.10.3.18.10.3.18.10.3.18.10.3.1

8.10.3.28.10.3.28.10.3.28.10.3.2


4.54.54.54.5

TemperatureTemperatureTemperatureTemperature

Practical measuring of temperature byPractical measuring of temperature byPractical measuring of temperature byPractical measuring of temperature by

• Estimating • Measuring • Recording • Comparing and ordering


Thermometers (analogue and digital)


Degrees Celsius

Calculations and problemCalculations and problemCalculations and problemCalculations and problem----solving related solving related solving related solving related temperature include:temperature include:temperature include:temperature include:

• Solving problems in contexts related to temperatures

9.1.49.1.49.1.49.1.4

3.8.6.43.8.6.43.8.6.43.8.6.4

1.21.21.21.2

PercentagesPercentagesPercentagesPercentages

CalculationsCalculationsCalculationsCalculations

Find percentages of whole numbers



- 18 -

• Recognize equivalences between common fraction and decimal fraction

forms of the same number

• Recognize equivalence between common fraction, decimal fraction

and percentage forms of the same

number

5.15.15.15.1 Collecting and Collecting and Collecting and Collecting and

organizing dataorganizing dataorganizing dataorganizing data

Collect data using:Collect data using:Collect data using:Collect data using:

• Tally marks and tables for recording • Simple questionnaires with a (yes/no type response)

• Order data from smallest group to largest group.

10.1.1.310.1.1.310.1.1.310.1.1.3

5.25.25.25.2

Representing Representing Representing Representing datadatadatadata

Draw a variety of graphs to display and Draw a variety of graphs to display and Draw a variety of graphs to display and Draw a variety of graphs to display and

interpret data including:interpret data including:interpret data including:interpret data including:

• Pictographs (many-to-one correspondence)

• Bar graphs and double bar graphs

10.1.2.310.1.2.310.1.2.310.1.2.3 10.1.2.410.1.2.410.1.2.410.1.2.4

10.1.2.510.1.2.510.1.2.510.1.2.5

5.35.35.35.3

Analyzing, Analyzing, Analyzing, Analyzing,

interpreting and interpreting and interpreting and interpreting and

reporting datareporting datareporting datareporting data

Critically read and interpret data represented Critically read and interpret data represented Critically read and interpret data represented Critically read and interpret data represented

inininin

• Words • Pictographs • Bar graphs • Double graphs • Pie graphs

Analyze datAnalyze datAnalyze datAnalyze data by answering questions related a by answering questions related a by answering questions related a by answering questions related

totototo

• Data categories, including data intervals

• Data sources and contexts • Central tendencies – (mode and median)

Summarize data verbally and in short written Summarize data verbally and in short written Summarize data verbally and in short written Summarize data verbally and in short written

paragraphs that includeparagraphs that includeparagraphs that includeparagraphs that include

• Drawing conclusions about data

10.1.2.610.1.2.610.1.2.610.1.2.6

10.1.4.110.1.4.110.1.4.110.1.4.1

10.1.4.210.1.4.210.1.4.210.1.4.2

10.3.1.210.3.1.210.3.1.210.3.1.2


- 19 -

• Making predictions based on the data

Examine ungrouped numerical data to Examine ungrouped numerical data to Examine ungrouped numerical data to Examine ungrouped numerical data to

determinedeterminedeterminedetermine

• The most frequently occurring score in the data set (mode)

• The middlemost score in a data set called the median of the data set

2.12.12.12.1

Numeric Numeric Numeric Numeric

patternspatternspatternspatterns

Investigate and extend patternsInvestigate and extend patternsInvestigate and extend patternsInvestigate and extend patterns

• Investigate and extend numeric patterns looking for relationships or

rules of patterns: � Sequences involving a constant difference or ratio

� Of learner’s own creations • Describe observed relationships or rules in learner’s own words

Input and output valuesInput and output valuesInput and output valuesInput and output values

Determine input values, output values and

rules for patterns and relationships using flow diagrams.


Determine equivalence of different descriptions of the same relationship or rule presented


3.2.5.13.2.5.13.2.5.13.2.5.1

3.2.5.23.2.5.23.2.5.23.2.5.2

3.2.6.33.2.6.33.2.6.33.2.6.3 4.1.2.54.1.2.54.1.2.54.1.2.5 4.1.2.64.1.2.64.1.2.64.1.2.6

4.1.4.14.1.4.14.1.4.14.1.4.1

4.4.4.4.1111 LengthLengthLengthLength

Practical measuring of 2Practical measuring of 2Practical measuring of 2Practical measuring of 2----D shapes and 3D shapes and 3D shapes and 3D shapes and 3----D D D D objects byobjects byobjects byobjects by

Estimating, measuring, recording, comparing and ordering


Rulers, metre sticks, tape measures, trundle

wheels UnitsUnitsUnitsUnits

9.1.1.29.1.1.29.1.1.29.1.1.2 9.1.1.39.1.1.39.1.1.39.1.1.3

9.1.1.49.1.1.49.1.1.49.1.1.4


- 20 -

Millimeters(mm), centimetres(cm), metres(m)

and kilometers(km)

Calculations and problemCalculations and problemCalculations and problemCalculations and problem----solving related to solving related to solving related to solving related to

lengthlengthlengthlength Solve problems in contexts related to length

Conversions include converting between any

of the following units:

mm , cm , m , km

Conversions should include fraction and

decimal forms (to 2 decimal places)

9.1.2.49.1.2.49.1.2.49.1.2.4

9.1.2.69.1.2.69.1.2.69.1.2.6

3.8.6.13.8.6.13.8.6.13.8.6.1


Mental Mental Mental Mental

mathematicsmathematicsmathematicsmathematics



Counting,

ordering

representing and

place value of digits

Number range for counting, ordering and Number range for counting, ordering and Number range for counting, ordering and Number range for counting, ordering and representing, and plrepresenting, and plrepresenting, and plrepresenting, and place value of digitsace value of digitsace value of digitsace value of digits




numbers


1.1.8.71.1.8.71.1.8.71.1.8.7

1.8.2.11.8.2.11.8.2.11.8.2.1

1.8.2.21.8.2.21.8.2.21.8.2.2

1.8.2.31.8.2.31.8.2.31.8.2.3

1.8.2.41.8.2.41.8.2.41.8.2.4 1.8.1.21.8.1.21.8.1.21.8.1.2

1.1.9.101.1.9.101.1.9.101.1.9.10

1.7.1.51.7.1.51.7.1.51.7.1.5 1.7.1.61.7.1.61.7.1.61.7.1.6


Multiplication

Number range for countingNumber range for countingNumber range for countingNumber range for counting, ordering, , ordering, , ordering, , ordering, comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value comparing and representing, and place value





numbers

• Round off to the nearest 5, 10, 100 or


- 21 -

1 000


• Multiplication of at least whole 4-digit by 3-digit numbers


Calculation techniques includeCalculation techniques includeCalculation techniques includeCalculation techniques include

• Estimation • Multiplying in columns • Building up and breaking down numbers



• Multiples of 2-digit and 3-digits numbers


• Prime factors of numbers to at least 100



of whole numbers



• Solve problems involving whole numbers and decimal fractions, including:


• Solve problems involving whole numbers, including

1.4.4.51.4.4.51.4.4.51.4.4.5

1.4.6.81.4.6.81.4.6.81.4.6.8


- 22 -

� Comparing two or more quantities of the same kind (ratio)

� Comparing two quantities of different kinds (rate)

3.8.7.33.8.7.33.8.7.33.8.7.3

1.21.21.21.2

Common Common Common Common

fractionsfractionsfractionsfractions

Describing and ordering fractionsDescribing and ordering fractionsDescribing and ordering fractionsDescribing and ordering fractions

Compare and order common fraction,

including specifically tenths and hundredths.

Calculations with fractionsCalculations with fractionsCalculations with fractionsCalculations with fractions

• Addition and subtraction of common fractions in which one denominator is

a multiple of each other

• Addition and subtraction of mixed numbers

• Fractions of whole numbers

Solving problemsSolving problemsSolving problemsSolving problems Solve problems in contexts involving

common fractions, including grouping and

sharing.

PercentagesPercentagesPercentagesPercentages Find percentages of whole numbers


Learners should recognizeLearners should recognizeLearners should recognizeLearners should recognize

• Equivalent forms of common fractions with 1-digit or 2-digit denominators

(denominators which are multiples of

each other)

• Equivalence between common fraction and decimal fraction forms of

the same number

• Equivalence between common fraction, decimal fraction and percentage forms of the same number

3.4.6.53.4.6.53.4.6.53.4.6.5

3.4.6.63.4.6.63.4.6.63.4.6.6

2.1.3.32.1.3.32.1.3.32.1.3.3 2.1.4.42.1.4.42.1.4.42.1.4.4 2.1.5.32.1.5.32.1.5.32.1.5.3

2.1.5.62.1.5.62.1.5.62.1.5.6

2.2.1.12.2.1.12.2.1.12.2.1.1

2.2.2.42.2.2.42.2.2.42.2.2.4

2.2.2.52.2.2.52.2.2.52.2.2.5 2.2.2.62.2.2.62.2.2.62.2.2.6 2.2.2.72.2.2.72.2.2.72.2.2.7

2.2.2.82.2.2.82.2.2.82.2.2.8

2.2.3.12.2.3.12.2.3.12.2.3.1

2.2.3.32.2.3.32.2.3.32.2.3.3 2.2.3.42.2.3.42.2.3.42.2.3.4

2.2.3.52.2.3.52.2.3.52.2.3.5

2.2.3.62.2.3.62.2.3.62.2.3.6

2.2.3.72.2.3.72.2.3.72.2.3.7 2.2.3.82.2.3.82.2.3.82.2.3.8 2.2.3.92.2.3.92.2.3.92.2.3.9

2.2.3.102.2.3.102.2.3.102.2.3.10

2.2.4.12.2.4.12.2.4.12.2.4.1

2.2.4.22.2.4.22.2.4.22.2.4.2

2.2.4.32.2.4.32.2.4.32.2.4.3 2.2.4.42.2.4.42.2.4.42.2.4.4

2.2.5.102.2.5.102.2.5.102.2.5.10 2.2.5.72.2.5.72.2.5.72.2.5.7

2.2.5.82.2.5.82.2.5.82.2.5.8

2.2.5.92.2.5.92.2.5.92.2.5.9 2.3.5.12.3.5.12.3.5.12.3.5.1

2.3.5.22.3.5.22.3.5.22.3.5.2

2.3.5.32.3.5.32.3.5.32.3.5.3

3.23.23.23.2 3333----D objectsD objectsD objectsD objects

Objects learners need to know and nameObjects learners need to know and nameObjects learners need to know and nameObjects learners need to know and name

• Rectangular prisms 8.1.2.48.1.2.48.1.2.48.1.2.4


- 23 -

• Cubes • Tetrahedrons • Pyramids • Similarities and differences between tetrahedrons and other pyramids

Characteristics which learCharacteristics which learCharacteristics which learCharacteristics which learners use to ners use to ners use to ners use to distinguish, describe, sort and compare distinguish, describe, sort and compare distinguish, describe, sort and compare distinguish, describe, sort and compare objectsobjectsobjectsobjects

Describe, sort and compare 2-D shapes and

3-D objects in terms of:

• Number and shape of faces • Number of vertices • Number of edges

Further activities to focus learners on Further activities to focus learners on Further activities to focus learners on Further activities to focus learners on

characteristics of objectscharacteristics of objectscharacteristics of objectscharacteristics of objects Create 3-D models using

• Drinking straws/toothpicks, etc. to make a skeleton

• Nets

4.64.64.64.6

Perimeter, area Perimeter, area Perimeter, area Perimeter, area

and volumeand volumeand volumeand volume

PerimeterPerimeterPerimeterPerimeter

Measure perimeter using rulers or measuring

tapes Measurement of areaMeasurement of areaMeasurement of areaMeasurement of area

• Continue to find areas of regular and irregular shapes by counting squares

on grids

• Develop an understanding of why the area of rectangles can be described as

their length multiplied by their width

Measurement of volumeMeasurement of volumeMeasurement of volumeMeasurement of volume

• Continue to find volume/capacity of objects (by packing or filling them)

• Develop an understanding of why the volume of rectangular prisms can be

described as their length multiplied by

their width multiplied by their height

9.3.1.69.3.1.69.3.1.69.3.1.6

9.3.1.79.3.1.79.3.1.79.3.1.7 9.3.2.59.3.2.59.3.2.59.3.2.5 9.3.1.89.3.1.89.3.1.89.3.1.8

9.5.1.39.5.1.39.5.1.39.5.1.3


- 24 -

Investigate:Investigate:Investigate:Investigate:

• Relationship between perimeter and area of rectangles and squares

• Relationship between surface area and volume of rectangular prisms

4.74.74.74.7

History of History of History of History of measurementmeasurementmeasurementmeasurement

Know how people measured and recorded

measurement in the past.

1.11.11.11.1


Division


representing, and place valurepresenting, and place valurepresenting, and place valurepresenting, and place valueeee



• Recognize the place value of digits in whole numbers up to at least 9-digit

numbers

• Round off to the nearest 5, 10, 100 and 1000

Number range foNumber range foNumber range foNumber range for calculationsr calculationsr calculationsr calculations

• Division of at least whole 4-digit by 3-digit numbers



• Estimation • Using the reciprocal relationship between multiplication and division

• Long division • Building up and breaking down numbers



• Multiples of 2-digit and 3-digit

1.8.2.51.8.2.51.8.2.51.8.2.5

1.5.8.21.5.8.21.5.8.21.5.8.2

3.5.5.33.5.5.33.5.5.33.5.5.3

1.5.3.81.5.3.81.5.3.81.5.3.8 1.5.5.81.5.5.81.5.5.81.5.5.8

1.5.7.41.5.7.41.5.7.41.5.7.4


- 25 -

numbers


• Prime factors of numbers up to at least 100

PropPropPropProperties of whole numberserties of whole numberserties of whole numberserties of whole numbers

• Recognize and use the commutative, associative and distributive properties of whole numbers



• Solve problems involving whole numbers and decimal fractions, including:


• Solve problems involving whole numbers, including: � Comparing two or more quantities of the same kind (ratio)

� Comparing two quantities of different kind (rate)

� Grouping and equal sharing with remainders

10.6.5.510.6.5.510.6.5.510.6.5.5

3.8.7.33.8.7.33.8.7.33.8.7.3

2.32.32.32.3 NumberNumberNumberNumber sentencessentencessentencessentences

Number sentencesNumber sentencesNumber sentencesNumber sentences

• Write number sentences to describe problem situations

• Solve and complete number sentences by:

� Inspection � Trial and improvement

• Check answers by substitution

4.1.2.44.1.2.44.1.2.44.1.2.4

3.43.43.43.4 TransformationsTransformationsTransformationsTransformations

Describe patternsDescribe patternsDescribe patternsDescribe patterns Refer to lines, 2-D shapes, 3-D objects and/or

lines of symmetry and/or rotations and/or


- 26 -

reflections and/or translations when

describing patterns in

• Nature • From modern everyday life • From our cultural heritage

Enlargement and reductionEnlargement and reductionEnlargement and reductionEnlargement and reduction

Draw enlargement and reductions of 2-D

shapes to compare size and shape of

• Triangles • Quadrilaterals

3.63.63.63.6

Locations and Locations and Locations and Locations and

directionsdirectionsdirectionsdirections

Location and directionsLocation and directionsLocation and directionsLocation and directions

Locate position of objects/drawings/symbols

on grid with alpha-numeric grid references.

Locate positions of objects on a map by using alpha-numeric grid references.

Give directions to move between positions

and places on a map.

9.6.1.19.6.1.19.6.1.19.6.1.1

9.6.1.29.6.1.29.6.1.29.6.1.2

9.6.1.39.6.1.39.6.1.39.6.1.3

5.45.45.45.4

ProbabilityProbabilityProbabilityProbability

Perform simple repeated events and list

possible outcomes for events such as:

• Tossing a coin • Rolling a die • Spinning a spinner

Count and compare the frequency of actual

outcomes for a series of trials:

• Up to 50 trials

10.2.1.410.2.1.410.2.1.410.2.1.4

Date post:	19-Aug-2020
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