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CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 1 -
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 2 -
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
• Represent prime numbers to at least 100
• Recognize the place value of digits in whole numbers to at least 9-digit
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 3 -
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
• Represent prime numbers to at least 100
• Recognizing 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
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
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
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 4 -
• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 5 -
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 6 -
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 7 -
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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.
Equivalent formsEquivalent formsEquivalent formsEquivalent forms
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
Term 2Term 2Term 2Term 2
Mental Mental Mental Mental mathematicsmathematicsmathematicsmathematics
Same as Term 1Same as Term 1Same as Term 1Same as Term 1
1.11.11.11.1
Whole numbersWhole numbersWhole numbersWhole numbers
Counting,
ordering, comparing,
representing
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
• Represent prime numbers to at least 100
• Recognize the place value of digits in whole numbers to at least 9-digit
numbers
• Round off to the nearest 5, 10, 100 and 1 000
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
of digitsof digitsof digitsof digits
• Order, compare and represent numbers to at least 9-digit numbers
• Represent prime numbers to at least
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 9 -
100
• Recognize the place value of digits in whole numbers to at least 9-digit
numbers
• Round off to the nearest 5, 10, 100 or 1 000
Number range for calculationsNumber range for calculationsNumber range for calculationsNumber range for calculations
• Multiplication of at least whole 4-digit by 3-digit numbers
• Multiple operations on whole numbers with or without brackets
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
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-digits numbers
• Factors of 2-digit and 3-digit whole numbers
• Prime factors of numbers to at least 100
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
Solving problemsSolving problemsSolving problemsSolving problems
• Solve problems involving whole numbers and decimal fractions,
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 10 -
including:
� Financial contexts � Measurement contexts
• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 11 -
� 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:
• Verbally • In a flow diagram • By a number sentence
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
• Order, compare and represent numbers up to at least 9-digit numbers
• Represent prime numbers to at least 100
• 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 for calculationsNumber range for calculationsNumber range for calculationsNumber range for calculations
• Division of at least whole 4-digit by 3-digit numbers
• Multiple operations on whole numbers with or without brackets
Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques
• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 12 -
between multiplication and division
• Long division • Building up and breaking down numbers
• Rounding off and compensating • Using a calculator
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 whole numbers
• Prime factors of numbers up to at least 100
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
SolvinSolvinSolvinSolving problemsg problemsg problemsg 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)
� 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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
Solving problemsSolving problemsSolving problemsSolving problems
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 14 -
• Solving problems in context with capacity
• Converting between kilolitres, litres and milliliters
• Conversions should include fraction and decimal forms to 2 decimal places
Term 3Term 3Term 3Term 3
Mental Mental Mental Mental
mathematicsmathematicsmathematicsmathematics
Same as Term 1Same as Term 1Same as Term 1Same as Term 1
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
UnitsUnitsUnitsUnits
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
Class activityClass activityClass activityClass activity
3.8.6.23.8.6.23.8.6.23.8.6.2
1.11.11.11.1
Whole numbersWhole numbersWhole numbersWhole numbers
Counting, ordering, comparing,
representing
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 representing, and representing, and representing, and place value of digitsplace value of digitsplace value of digitsplace value of digits
• Order, compare and represent numbers up 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
• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 15 -
and 1 000
1.11.11.11.1
Whole numbersWhole numbersWhole numbersWhole numbers
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
of digitsof digitsof digitsof digits
• Order, compare and represent numbers at least 9-digit numbers
• Represent prime numbers to at least 100
• Recognizing 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
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
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
Solving problemsSolving problemsSolving problemsSolving problems
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 16 -
• 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)
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 17 -
• Draw 2-D shapes on grid paper • Draw circles, patterns in circles and patterns with circles using a pair of compasses
Class activityClass activityClass activityClass activity
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
Class activityClass activityClass activityClass activity
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
Measuring instrumentsMeasuring instrumentsMeasuring instrumentsMeasuring instruments
Thermometers (analogue and digital)
UnitsUnitsUnitsUnits
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
Equivalent formsEquivalent formsEquivalent formsEquivalent forms
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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.
Equivalent formsEquivalent formsEquivalent formsEquivalent forms
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
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
Measuring instrumentsMeasuring instrumentsMeasuring instrumentsMeasuring instruments
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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
Term 4Term 4Term 4Term 4
Mental Mental Mental Mental
mathematicsmathematicsmathematicsmathematics
Same as Term 1Same as Term 1Same as Term 1Same as Term 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 plrepresenting, and plrepresenting, and plrepresenting, and place value of digitsace value of digitsace value of digitsace value of digits
• Order, compare and represent numbers up 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
• Round off to the nearest 5, 10, 100 and 1 000
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 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
of digitsof digitsof digitsof 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
• Round off to the nearest 5, 10, 100 or
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 21 -
1 000
Number range for calculationsNumber range for calculationsNumber range for calculationsNumber range for calculations
• Multiplication of at least whole 4-digit by 3-digit numbers
• Multiple operations on whole numbers with or without brackets
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
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-digits numbers
• Factors of 2-digit and 3-digit whole numbers
• Prime factors of numbers to at least 100
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
Solving problemsSolving problemsSolving problemsSolving problems
• Solve problems involving whole numbers and decimal fractions, including:
� Financial contexts � Measurement contexts
• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
- 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
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 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
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• 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
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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
Whole numbersWhole numbersWhole numbersWhole numbers
Division
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 valurepresenting, and place valurepresenting, and place valurepresenting, and place valueeee
• Order, compare and represent numbers up to at least 9-digit numbers
• Represent prime numbers to at least 100
• 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
• Multiple operations on whole numbers with or without brackets
Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques
• Estimation • Using the reciprocal relationship between multiplication and division
• Long division • Building up and breaking down numbers
• Rounding off and compensating • Using a calculator
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
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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
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numbers
• Factors of 2-digit and 3-digit whole 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
• 0 in terms of its additive property • 1 in terms of its multiplicative 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)
� 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
CAMI Education linked to CAPS: Mathematicsathematicsathematicsathematics: Grade 6: Grade 6: Grade 6: Grade 6
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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