CAPS Grade 5 A - camiweb.comcamiweb.com/CAPS/CAPS 2016/CAPS 2016 PDF/CAPS_Grade 5 Englis… · Multiples of 100 Multiples of 1 000 ... 1.1.8.51.1.8.5 1.1.8.61.1.8.6 ... • Regular

CAMI Education linked to CAPS:

Mathematicsathematicsathematicsathematics: Grade 5: Grade 5: Grade 5: Grade 5

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GRADE 5_CAPS CurriculumGRADE 5_CAPS CurriculumGRADE 5_CAPS CurriculumGRADE 5_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 10 × 10

• 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 comparing and representing numbers and comparing and representing numbers and comparing and representing numbers and

for the place value of digitsfor the place value of digitsfor the place value of digitsfor the place value of digits

• Count backwards and forwards in whole number intervals up to at least

10 000

• Order, compare and represent numbers to at least 4-digit numbers

• Represent odd and even numbers to at least 1 000

• Recognize the place value of digits in whole numbers to at least 4-digit

numbers

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

Calculation techniquesCalculation techniquesCalculation techniquesCalculation techniques

Use a range of techniques to perform and

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

3.3.5.43.3.5.43.3.5.43.3.5.4

3.3.6.43.3.6.43.3.6.43.3.6.4

3.33.33.33.3.5.9.5.9.5.9.5.9

3.3.6.93.3.6.93.3.6.93.3.6.9

1.1.2.71.1.2.71.1.2.71.1.2.7

1.1.2.81.1.2.81.1.2.81.1.2.8

1.7.8.41.7.8.41.7.8.41.7.8.4

1.1.11.1.11.1.11.1.10.30.30.30.3

1.1.6.101.1.6.101.1.6.101.1.6.10

1.1.8.101.1.8.101.1.8.101.1.8.10

1.1.8.51.1.8.51.1.8.51.1.8.5

1.1.8.61.1.8.61.1.8.61.1.8.6

1.1.9.51.1.9.51.1.9.51.1.9.5

1.1.9.91.1.9.91.1.9.91.1.9.9

1.7.9.31.7.9.31.7.9.31.7.9.3

1.7.1.11.7.1.11.7.1.11.7.1.1

1.7.1.51.7.1.51.7.1.51.7.1.5



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check written and mental calculations of

whole numbers including:

• Estimation

• Adding and subtracting in columns

• Building up and breaking down numbers

• Using a number line

• Rounding off and compensating

• Doubling and halving

• 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 whole numbers

to at least 100

• Factors of 2-digit whole 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

1.7.10.41.7.10.41.7.10.41.7.10.4

1.7.10.81.7.10.81.7.10.81.7.10.8

1.7.3.81.7.3.81.7.3.81.7.3.8 1.7.6.11.7.6.11.7.6.11.7.6.1

1.7.6.21.7.6.21.7.6.21.7.6.2

3.8.8.53.8.8.53.8.8.53.8.8.5

1.8.1.11.8.1.11.8.1.11.8.1.1

1.7.7.11.7.7.11.7.7.11.7.7.1

1.7.7.61.7.7.61.7.7.61.7.7.6

1.11.11.11.1

Whole numbersWhole numbersWhole numbersWhole numbers

Counting,

ordering,

comparing,

representing and place value

of digits


comcomcomcomparing, representing and place value of paring, representing and place value of paring, representing and place value of paring, representing and place value of

digitsdigitsdigitsdigits

• Count forwards and backwards in whole number intervals up to at

least 10 000




1.1.2.71.1.2.71.1.2.71.1.2.7

1.1.2.81.1.2.81.1.2.81.1.2.8

1.7.8.41.7.8.41.7.8.41.7.8.4

1.1.10.31.1.10.31.1.10.31.1.10.3

1.1.6.101.1.6.101.1.6.101.1.6.10

1.1.8.101.1.8.101.1.8.101.1.8.10

1.1.8.51.1.8.51.1.8.51.1.8.5

1.1.8.61.1.8.61.1.8.61.1.8.6



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numbers

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

1.1.9.51.1.9.51.1.9.51.1.9.5

1.1.9.91.1.9.91.1.9.91.1.9.9

1.7.9.31.7.9.31.7.9.31.7.9.3

1.7.1.11.7.1.11.7.1.11.7.1.1

1.7.1.51.7.1.51.7.1.51.7.1.5

2.12.12.12.1

Number Number Number Number sentensentensentensentencescescesces

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 the solution by substitution

3.8.8.13.8.8.13.8.8.13.8.8.1

3.8.8.23.8.8.23.8.8.23.8.8.2

1.11.11.11.1 Whole numbersWhole numbersWhole numbersWhole numbers

Addition and

subtraction

Number range for calculationNumber range for calculationNumber range for calculationNumber range for calculation Addition and subtraction of whole numbers

with at least 5-digit numbers.


Using a range of techniques to perform and

check written and mental calculations with


• Estimation











1.2.6.81.2.6.81.2.6.81.2.6.8

1.3.7.31.3.7.31.3.7.31.3.7.3

1.3.8.51.3.8.51.3.8.51.3.8.5

1.3.8.61.3.8.61.3.8.61.3.8.6

1.7.10.91.7.10.91.7.10.91.7.10.9



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• 1 in terms of its multiplicative

property

Solving problemsSolving problemsSolving problemsSolving problems

Solve problems involving whole numbers,

including:

• Financial contexts

• Measurement contexts

3.8.4.63.8.4.63.8.4.63.8.4.6

3.8.4.73.8.4.73.8.4.73.8.4.7

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 creation

• 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

4.1.1.64.1.1.64.1.1.64.1.1.6

4.1.4.14.1.4.14.1.4.14.1.4.1

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

1111.1.1.1.1

Whole numbersWhole numbersWhole numbersWhole numbers Multiplication

and division

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

• Multiplication of at least whole 3-digit by 2-digit numbers

• Division of at least whole 3-digit by 1-digit numbers


• Estimation

1.4.2.41.4.2.41.4.2.41.4.2.4 1.4.2.51.4.2.51.4.2.51.4.2.5

1.4.3.31.4.3.31.4.3.31.4.3.3

1.4.3.41.4.3.41.4.3.41.4.3.4

1.4.4.31.4.4.31.4.4.31.4.4.3

1.4.4.41.4.4.41.4.4.41.4.4.4



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• Building up and breaking down

numbers






Number range for multipNumber range for multipNumber range for multipNumber range for multiples and factorsles and factorsles and factorsles and factors

• Multiples of 2-digit whole numbers to at least 100

• Factors of 2-digit numbers to at least 100


• Recognize and use the commutative, associative and distributive property

of whole numbers




• Solve problems involving whole numbers, including

� Financial contexts

� Measurement contexts


� Comparing two or more

quantities of the same kind (ratio)

� Comparing two quantities of different kinds (rate)

� Grouping and equal sharing with

remainders

1.5.3.71.5.3.71.5.3.71.5.3.7

1.5.5.71.5.5.71.5.5.71.5.5.7

1.7.2.21.7.2.21.7.2.21.7.2.2

1.7.2.31.7.2.31.7.2.31.7.2.3

3.8.7.23.8.7.23.8.7.23.8.7.2

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-

3.83.83.83.8.6.6.6.6.6.6.6.6



- 6 -

hour formals on both analogue and digital

instruments in

• Hours

• Minutes

• Seconds Instruments include clocks, watches and

stopwatches.

Reading calendarsReading calendarsReading calendarsReading calendars

Calculations and problem solving related to Calculations and problem solving related to Calculations and problem solving related to Calculations and problem solving related to

time includetime includetime includetime include

Calculation of time intervals where time is

given in

• Seconds and / or minutes

• Minutes and / or hours

• Hours and / or in days

• Days and / or in weeks and / or months

• Months and / or years

• Years and / or decades

History of timeHistory of timeHistory of timeHistory of time

Know how time was measured and

expressed in ancient times.

9.2.1.19.2.1.19.2.1.19.2.1.1

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

9.2.4.29.2.4.29.2.4.29.2.4.2

3.8.6.53.8.6.53.8.6.53.8.6.5

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

9.2.2.79.2.2.79.2.2.79.2.2.7

9.2.2.89.2.2.89.2.2.89.2.2.8

9.2.2.99.2.2.99.2.2.99.2.2.9

9.2.3.19.2.3.19.2.3.19.2.3.1

9.2.3.29.2.3.29.2.3.29.2.3.2

9.2.3.39.2.3.39.2.3.39.2.3.3

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

5.15.15.15.1 Collecting and Collecting and Collecting and Collecting and

organizing dataorganizing dataorganizing dataorganizing data

• Collect data using tally marks and tables for recording

• 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 interpret data including

• Pictographs (many-to-one correspondence)

• Bar graphs

10.1.2.210.1.2.210.1.2.210.1.2.2

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 in

• Words

• Pictographs

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



- 7 -

• Bar graphs

• Pie graphs

Analyze data by answering questions related to

• Data categories

• Data sources and contexts

Summarize data verbally and in short written paragraphs that include:

• Drawing conclusions about the data

• Making predictions based on the

data Examine ungrouped numerical data to

determine the most frequently occurring

score in the data set (mode)

10.3.1.110.3.1.110.3.1.110.3.1.1

3.13.13.13.1

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, other

quadrilaterals, pentagons, hexagons,

heptagons

• Circles

• Similarities and differences between squares and rectangles

Characteristics learners use to distinguish, Characteristics learners use to distinguish, Characteristics learners use to distinguish, Characteristics learners use to distinguish,

describe, sort and compare shapesdescribe, sort and compare shapesdescribe, sort and compare shapesdescribe, sort and compare shapes

• Straight and / curved sides

• Numbers of sides

• Length of sides

• Angles: limited to � Right angles

� Angles smaller than right

angles

� Angles greater than right angles

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 shapescharacteristics of shapescharacteristics of shapescharacteristics of shapes

Draw 2-D shapes on grid paper.

Angles Angles Angles Angles limited to

• Right angles

8.1.1.48.1.1.48.1.1.48.1.1.4

8.1.1.58.1.1.58.1.1.58.1.1.5



- 8 -

• Angles smaller than right angles

• Angles greater than right angles

4.34.34.34.3

Capacity/Capacity/Capacity/Capacity/ VolumeVolumeVolumeVolume

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

Measuring spoons, measuring cups,

measuring jugs

UnitsUnitsUnitsUnits

Milliliter (ml), litre (l)

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

capacity / volume includecapacity / volume includecapacity / volume includecapacity / volume include

• Solving problems in contexts using capacity / volume

• Converting between litres and milliliters limited to examples with

whole numbers and fractions

9.1.3.49.1.3.49.1.3.49.1.3.4 9.5.1.49.5.1.49.5.1.49.5.1.4

3.8.6.33.8.6.33.8.6.33.8.6.3




See Term 1See Term 1See Term 1See Term 1


Counting,

ordering,

comparing,

representing

and place value

of digits

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



least 10 000




numbers

1.1.2.71.1.2.71.1.2.71.1.2.7

1.1.2.81.1.2.81.1.2.81.1.2.8

1.7.8.41.7.8.41.7.8.41.7.8.4

1.1.10.31.1.10.31.1.10.31.1.10.3 1.1.6.101.1.6.101.1.6.101.1.6.10

1.1.8.101.1.8.101.1.8.101.1.8.10

1.1.8.51.1.8.51.1.8.51.1.8.5

1.1.8.61.1.8.61.1.8.61.1.8.6

1.1.9.51.1.9.51.1.9.51.1.9.5



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1.1.9.91.1.9.91.1.9.91.1.9.9

1.7.9.31.7.9.31.7.9.31.7.9.3

1.7.1.11.7.1.11.7.1.11.7.1.1

1.7.1.51.7.1.51.7.1.51.7.1.5

1.11.11.11.1


Addition and subtraction

Number range for calculationNumber range for calculationNumber range for calculationNumber range for calculation

Addition and subtraction of whole numbers






• Estimation






• Using addition and subtraction as

inverse operations

• Using multiplication and division as

inverse operations








including:



1.2.6.81.2.6.81.2.6.81.2.6.8

1.31.31.31.3.7.3.7.3.7.3.7.3 1.3.8.51.3.8.51.3.8.51.3.8.5

1.3.8.61.3.8.61.3.8.61.3.8.6

3.8.4.63.8.4.63.8.4.63.8.4.6

3.8.4.73.8.4.73.8.4.73.8.4.7



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1.21.21.21.2

Common Common Common Common

fractionsfractionsfractionsfractions

Concepts,Concepts,Concepts,Concepts, skills and number range skills and number range skills and number range skills and number range

• Describing and ordering fractions

• Count forwards and backwards in fractions

• Compare and order common fractions to at least twelfths

Calculations with fractionsCalculations with fractionsCalculations with fractionsCalculations with fractions

• Addition of common fractions with the same denominator

• Recognize, describe and use the equivalence of division and fractions


Solve problems in contexts involving

common fractions, including grouping and

sharing.

Equivalents formsEquivalents formsEquivalents formsEquivalents forms

Recognize and use equivalent forms of

common fractions with denominators which

are multiples of each other.

2.1.3.12.1.3.12.1.3.12.1.3.1

2.1.3.22.1.3.22.1.3.22.1.3.2

2.1.4.32.1.4.32.1.4.32.1.4.3

2.1.4.52.1.4.52.1.4.52.1.4.5

2.1.4.62.1.4.62.1.4.62.1.4.6

2.1.5.22.1.5.22.1.5.22.1.5.2 2.1.5.52.1.5.52.1.5.52.1.5.5

2.2.1.12.2.1.12.2.1.12.2.1.1

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

2.2.2.32.2.2.32.2.2.32.2.2.3

2.2.3.12.2.3.12.2.3.12.2.3.1

2.2.3.22.2.3.22.2.3.22.2.3.2

2.2.3.32.2.3.32.2.3.32.2.3.3 2.2.5.72.2.5.72.2.5.72.2.5.7

3.4.5.23.4.5.23.4.5.23.4.5.2

3.4.5.33.4.5.33.4.5.33.4.5.3

3.4.5.43.4.5.43.4.5.43.4.5.4

3.4.5.53.4.5.53.4.5.53.4.5.5

3.4.5.63.4.5.63.4.5.63.4.5.6

3.4.5.73.4.5.73.4.5.73.4.5.7

3.4.5.83.4.5.83.4.5.83.4.5.8 3.4.6.23.4.6.23.4.6.23.4.6.2

3.4.6.33.4.6.33.4.6.33.4.6.3

3.4.6.43.4.6.43.4.6.43.4.6.4

3.8.5.23.8.5.23.8.5.23.8.5.2

4.14.14.14.1

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 by:objects by:objects by:objects by:

• Estimating

• Measuring

• Recording

• Comparing and ordering


Rulers, meter sticks, tape measures, trundle

wheels


Millimetres (mm), centimeters (cm), metres (m), kilometers (km)

9.1.1.29.1.1.29.1.1.29.1.1.2

9.1.2.19.1.2.19.1.2.19.1.2.1

9.1.2.39.1.2.39.1.2.39.1.2.3



- 11 -

Calculations and prCalculations and prCalculations and prCalculations and problemoblemoblemoblem----solving related to solving related to solving related to solving related to

lengthlengthlengthlength

Solve problems in context related to length.

Conversations include converting between any of the following units:

mm , cm , m , km

Conversions limited to whole numbers and

fractions.

3.8.6.13.8.6.13.8.6.13.8.6.1

1.11.11.11.1


Multiplication

Number range forNumber range forNumber range forNumber range for calculations calculations calculations calculations

Multiplication of at least whole 3-digit by 2-

digit numbers



check written and metal calculations of


• Estimation






• Multiples of 2-digit whole numbers to at least 100

• Factors of 2-digit numbers to at least 100


• Recognize and use the commutative, associative and distributive property

of whole numbers



1.4.2.41.4.2.41.4.2.41.4.2.4

1.4.2.51.4.2.51.4.2.51.4.2.5 1.4.3.31.4.3.31.4.3.31.4.3.3

1.4.3.41.4.3.41.4.3.41.4.3.4

1.4.4.31.4.4.31.4.4.31.4.4.3

1.4.4.41.4.4.41.4.4.41.4.4.4

1.4.6.61.4.6.61.4.6.61.4.6.6

1.4.6.71.4.6.71.4.6.71.4.6.7



- 12 -



� Financial contexts

� Measurement contexts


� Comparing two or more

quantities of the same kind (ratio)

3.8.7.23.8.7.23.8.7.23.8.7.2

3.23.23.23.2 Properties of 3Properties of 3Properties of 3Properties of 3----

D objectsD objectsD objectsD objects

Objects learners need to know and name:

• Rectangular prisms and other prisms

• Cubes

• Cylinders

• Cones

• Pyramids

• Similarities and differences between

• Cubes and rectangular prisms

Characteristics learners use to distinguish,

describe, sort and compare shapes

• Shape of faces

• Number of faces

• Flat and curved surfaces

• Further activities to focus learners on characteristics of objects

• Make 3-D models using cut-out polygons

• Cutting open boxes to trace and describe their nets

8.1.2.38.1.2.38.1.2.38.1.2.3

Class activityClass activityClass activityClass activity

2.22.22.22.2

Geometric Geometric Geometric Geometric



• Investigate and extend geometric patterns looking for relationships or

rules of patterns

� Represented in physical or

diagram form


4444.1.1.7.1.1.7.1.1.7.1.1.7



- 13 -

constant difference





rules for the patterns and relationships using

flow diagrams.



descriptions of the same relationship or rule

presented

• Verbally



3.2.6.23.2.6.23.2.6.23.2.6.2

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

8.10.1.48.10.1.48.10.1.48.10.1.4

8.10.1.58.10.1.58.10.1.58.10.1.5

1.11.11.11.1

WhWhWhWhole numbersole numbersole numbersole numbers

Division


Division of at least whole 3-digit by 2-digit

numbers

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



• Estimation


• Using multiplications and division as inverse operations

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


numbers

• Round off to the nearest 10, 100 and

1.5.1.71.5.1.71.5.1.71.5.1.7

1.5.1.101.5.1.101.5.1.101.5.1.10

1.5.5.11.5.5.11.5.5.11.5.5.1

1.5.5.21.5.5.21.5.5.21.5.5.2 1.5.5.31.5.5.31.5.5.31.5.5.3

1.5.5.41.5.5.41.5.5.41.5.5.4

1.5.5.51.5.5.51.5.5.51.5.5.5

1.5.5.61.5.5.61.5.5.61.5.5.6

1.5.7.11.5.7.11.5.7.11.5.7.1

1.5.7.21.5.7.21.5.7.21.5.7.2

1.5.7.31.5.7.31.5.7.31.5.7.3 1.5.8.11.5.8.11.5.8.11.5.8.1

3.5.5.33.5.5.33.5.5.33.5.5.3

3.8.2.63.8.2.63.8.2.63.8.2.6

3.1.4.33.1.4.33.1.4.33.1.4.3



- 14 -

1 000


• Multiples of 2-digit numbers to at least 100

• Factors of 2-digit whole numbers to at least 100

Multiplication factsMultiplication factsMultiplication factsMultiplication facts

• Units by multiples of 10


PropertiesPropertiesPropertiesProperties of whole numbers of whole numbers of whole numbers of whole numbers

• Recognize and use the commutative, associative and distributive properties

of whole numbers



Solve problems in contexts involving whole

numbers, including financial contexts

SolvSolvSolvSolve problems involving whole numbers, e problems involving whole numbers, e problems involving whole numbers, e problems involving whole numbers,

including:including:including:including:

• Comparing two or more quantities of the same unit (ratio)

• Comparing two quantities of different kinds (rate)

• Grouping and equal sharing with remainders

3.8.7.23.8.7.23.8.7.23.8.7.2




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

1.21.21.21.2

Common Common Common Common fractfractfractfractionsionsionsions

Concepts, skills and number rangeConcepts, skills and number rangeConcepts, skills and number rangeConcepts, skills and number range



2.1.3.12.1.3.12.1.3.12.1.3.1

2.1.3.22.1.3.22.1.3.22.1.3.2 2.1.4.32.1.4.32.1.4.32.1.4.3

2.1.4.52.1.4.52.1.4.52.1.4.5

2.1.4.62.1.4.62.1.4.62.1.4.6

2.1.5.22.1.5.22.1.5.22.1.5.2



- 15 -



• Addition and subtraction of mixed numbers

• Fractions of whole numbers which result in whole numbers





sharing.

Equivalents forEquivalents forEquivalents forEquivalents formsmsmsms



are multiples of each other

2.1.5.52.1.5.52.1.5.52.1.5.5

2.2.1.12.2.1.12.2.1.12.2.1.1

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

2.2.2.32.2.2.32.2.2.32.2.2.3

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

2.2.5.72.2.5.72.2.5.72.2.5.7

3.4.5.23.4.5.23.4.5.23.4.5.2

3.4.5.33.4.5.33.4.5.33.4.5.3

3.4.5.43.4.5.43.4.5.43.4.5.4

3.4.5.53.4.5.53.4.5.53.4.5.5

3.4.5.63.4.5.63.4.5.63.4.5.6

3.4.5.83.4.5.83.4.5.83.4.5.8 3.4.6.23.4.6.23.4.6.23.4.6.2

3.4.6.33.4.6.33.4.6.33.4.6.3

3.4.6.43.4.6.43.4.6.43.4.6.4

2.2.3.22.2.3.22.2.3.22.2.3.2

4.24.24.24.2

MassMassMassMass

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


Bathroom scales, kitchen scales and balances


Grams (g) and kilograms (kg)

Calculations aCalculations aCalculations aCalculations and problemnd problemnd problemnd problem----solving related to solving related to solving related to solving related to

mass includemass includemass includemass include Solve problems in contexts related to mass

Converting between grams and kilograms

limited to examples with whole numbers

and fractions.

9.1.2.29.1.2.29.1.2.29.1.2.2

9.1.2.39.1.2.39.1.2.39.1.2.3

3.8.6.23.8.6.23.8.6.23.8.6.2

1.11.11.11.1


Counting,


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

digidigidigidigitstststs



- 16 -

ordering,

comparing,

representing

and place value

of digits


least 10 000




numbers


1.1.2.71.1.2.71.1.2.71.1.2.7

1.1.2.81.1.2.81.1.2.81.1.2.8

1.7.8.41.7.8.41.7.8.41.7.8.4

1.1.10.31.1.10.31.1.10.31.1.10.3

1.1.6.101.1.6.101.1.6.101.1.6.10 1.1.8.101.1.8.101.1.8.101.1.8.10

1.1.8.51.1.8.51.1.8.51.1.8.5

1.1.8.61.1.8.61.1.8.61.1.8.6

1.1.9.51.1.9.51.1.9.51.1.9.5

1.1.9.91.1.9.91.1.9.91.1.9.9

1.7.9.31.7.9.31.7.9.31.7.9.3

1.7.1.11.7.1.11.7.1.11.7.1.1 1.7.1.51.7.1.51.7.1.51.7.1.5


Addition and

subtraction

Number range for cNumber range for cNumber range for cNumber range for calculationalculationalculationalculation Addition and subtraction of whole numbers






• Estimation











1.2.6.81.2.6.81.2.6.81.2.6.8

1.3.7.31.3.7.31.3.7.31.3.7.3

1.3.8.51.3.8.51.3.8.51.3.8.5

1.3.8.61.3.8.61.3.8.61.3.8.6



- 17 -


• 1 in terms of its multiplicative

property



including:



3.8.4.63.8.4.63.8.4.63.8.4.6

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 everyday objects, collections of

everyday objects or scenes from everyday

life.

3.3.3.3.1111

Properties of 2Properties of 2Properties of 2Properties of 2----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, other

quadrilaterals, pentagons, hexagons, heptagons

• Circles


squares and rectangles

CharCharCharCharacteristics learners use to distinguish, acteristics learners use to distinguish, acteristics learners use to distinguish, acteristics learners use to distinguish,


• Straight and / curved sides

• Numbers of sides

• Length of sides

• Angles: limited to � Right angles

� Angles smaller than right

angles

� Angles greater than right

angles

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

characteristics of shapescharacteristics of shapescharacteristics of shapescharacteristics of shapes

Draw 2-D shapes on grid paper. Angles Angles Angles Angles limited to

• Right angles

8.1.1.48.1.1.48.1.1.48.1.1.4

8.1.1.58.1.1.58.1.1.58.1.1.5



- 18 -

• Angles smaller than right angles

• Angles greater than right angles

3.43.43.43.4 TransformationsTransformationsTransformationsTransformations

Use transformations to create composite Use transformations to create composite Use transformations to create composite Use transformations to create composite shapesshapesshapesshapes

Create composite 2-D shapes including

shapes with line symmetry by tracing and

moving a 2-D shape by

• Rotation

• Translation

• Reflection

Use transformations to create tesseUse transformations to create tesseUse transformations to create tesseUse transformations to create tessellationsllationsllationsllations

Make tessellated patterns including some

patterns with line symmetry by tracing and

moving 2-D shapes by

• Rotation

• Translation

• Reflection

Describe patternsDescribe patternsDescribe patternsDescribe patterns

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


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


Degrees Celsius (°C)

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

temperaturetemperaturetemperaturetemperature


temperature.

9.1.49.1.49.1.49.1.4

3.8.6.53.8.6.53.8.6.53.8.6.5



- 19 -

Calculate temperature differences limited to

positive whole numbers.

5.15.15.15.1

Collecting and Collecting and Collecting and Collecting and

organizing dataorganizing dataorganizing dataorganizing data

• Collect data using tally marks and tables for recording

• 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 varDraw a varDraw a varDraw a variety of graphs to display and iety of graphs to display and iety of graphs to display and iety of graphs to display and

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

• Pictographs with a many-to-one representation

• Bar graphs

10.1.2.210.1.2.210.1.2.210.1.2.2

10.1.2.310.1.2.310.1.2.310.1.2.3

10101010.1.2.5.1.2.5.1.2.5.1.2.5

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

represented in represented in represented in represented in

• Words

• Pictographs

• Bar graphs

• Pie graphs

Analyze data by answering questions Analyze data by answering questions Analyze data by answering questions Analyze data by answering questions

related to:related to:related to:related to:

• Data categories

• Data sources and contexts

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

written paragraphs that include:written paragraphs that include:written paragraphs that include:written paragraphs that include:

• Drawing conclusions about the data

• Making predictions based on the data

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

10.3.1.110.3.1.110.3.1.110.3.1.1

2.12.12.12.1

Numeric Numeric Numeric Numeric patternspatternspatternspatterns


• Investigate and extend numeric patterns looking for relationships or

rules of patterns � Sequences involving a


4.1.1.64.1.1.64.1.1.64.1.1.6 4.1.4.14.1.4.14.1.4.14.1.4.1



- 20 -





rules for patterns and relationships using

flow diagrams.



descriptions of the same relationship or rule

presented

• Verbally


• By a number sentences

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

1.11.11.11.1


Multiplication


Multiplication of at least whole 3-digit by 1-

digit numbers


Use a range of techniques to perform and check written and mental calculations of

whole numbers including

• Estimation



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


numbers

• Round off to the nearest 10, 100 or 1000


• Multiples of 2-digit numbers to at least 100

1.4.2.41.4.2.41.4.2.41.4.2.4

1.4.2.51.4.2.51.4.2.51.4.2.5

1.4.3.31.4.3.31.4.3.31.4.3.3

1.4.3.41.4.3.41.4.3.41.4.3.4

1.4.4.31.4.4.31.4.4.31.4.4.3 1.4.4.41.4.4.41.4.4.41.4.4.4

1.4.6.61.4.6.61.4.6.61.4.6.6

1.4.6.71.4.6.71.4.6.71.4.6.7

3.8.3.53.8.3.53.8.3.53.8.3.5



- 21 -

• Factors of 2-digit whole numbers to at least 100

Multiplication facts forMultiplication facts forMultiplication facts forMultiplication facts for





with whole numbers




numbers, including financial contexts.


including

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


3.8.7.23.8.7.23.8.7.23.8.7.2



mathematicsmathematicsmathematicsmathematics

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

1.11.11.11.1


Counting,

ordering, comparing,

representing

and place value

of digits


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



least 10 000

• Order, compare and represent

numbers to at least 6-digit numbers

• Represent odd and even numbers to

at least 1 000

• Recognize the place value of digits

in whole numbers to at least 6-digit

1.1.2.71.1.2.71.1.2.71.1.2.7 1.1.2.81.1.2.81.1.2.81.1.2.8

1.7.8.41.7.8.41.7.8.41.7.8.4

1.1.10.31.1.10.31.1.10.31.1.10.3

1.1.6.101.1.6.101.1.6.101.1.6.10

1.1.8.101.1.8.101.1.8.101.1.8.10

1.1.8.51.1.8.51.1.8.51.1.8.5



- 22 -

numbers


1.1.8.61.1.8.61.1.8.61.1.8.6

1.1.9.51.1.9.51.1.9.51.1.9.5

1.1.9.91.1.9.91.1.9.91.1.9.9

1.1.3.91.1.3.91.1.3.91.1.3.9

1.7.1.11.7.1.11.7.1.11.7.1.1

1.7.1.51.7.1.51.7.1.51.7.1.5


Addition and

subtraction

Number range for calculationsNumber range for calculationsNumber range for calculationsNumber range for calculations Addition and subtraction of whole numbers

of at least 5 digits.





• Estimation






Number range foNumber range foNumber range foNumber range for multiples and factorsr multiples and factorsr multiples and factorsr multiples and factors

Multiples of 2-digit numbers to at least 100


Recognize and use the commutative and

associative properties with whole numbers.



numbers, including financial contexts.

1.2.6.81.2.6.81.2.6.81.2.6.8

1.3.7.31.3.7.31.3.7.31.3.7.3

1.3.8.51.3.8.51.3.8.51.3.8.5

1.3.8.61.3.8.61.3.8.61.3.8.6

3.23.23.23.2 Properties of Properties of Properties of Properties of

3333----D objectsD objectsD objectsD objects

ObjectObjectObjectObjects learners need to know and name:s learners need to know and name:s learners need to know and name:s learners need to know and name:

• Rectangular prisms and other prisms

• Cubes

• Cylinders

• Cones

8.1.8.1.8.1.8.1.2.32.32.32.3



- 23 -

• Pyramids


cubes and rectangular prisms

Characteristics learners use to distinguish, Characteristics learners use to distinguish, Characteristics learners use to distinguish, Characteristics learners use to distinguish,


• Shape of faces

• Numbers of faces

• Flat and curved surfaces

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 cut-out polygons

• Cutting open boxes to trace and describe their nets

1.21.21.21.2

Common Common Common Common

fractionsfractionsfractionsfractions

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





• Addition and subtraction of mixed numbers

• Fractions of whole numbers which result in whole numbers


Solving problemsSolving problemsSolving problemsSolving problems Solve problems in contexts involving


sharing.

Equivalents formsEquivalents formsEquivalents formsEquivalents forms



2.1.3.12.1.3.12.1.3.12.1.3.1

2.1.3.22.1.3.22.1.3.22.1.3.2

2.1.4.32.1.4.32.1.4.32.1.4.3

2.1.4.52.1.4.52.1.4.52.1.4.5

2.1.4.62.1.4.62.1.4.62.1.4.6 2.1.5.22.1.5.22.1.5.22.1.5.2

2.1.5.52.1.5.52.1.5.52.1.5.5

2.2.2.2.2.2.2.2.1.11.11.11.1

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

2.2.2.32.2.2.32.2.2.32.2.2.3

2.2.3.32.2.3.32.2.3.32.2.3.3 2.2.3.12.2.3.12.2.3.12.2.3.1

2.2.5.72.2.5.72.2.5.72.2.5.7

3.4.5.23.4.5.23.4.5.23.4.5.2

3.4.5.33.4.5.33.4.5.33.4.5.3

3.4.5.43.4.5.43.4.5.43.4.5.4

3.4.5.53.4.5.53.4.5.53.4.5.5

3.4.5.63.4.5.63.4.5.63.4.5.6

3.4.5.73.4.5.73.4.5.73.4.5.7 3.4.5.83.4.5.83.4.5.83.4.5.8

3.4.6.23.4.6.23.4.6.23.4.6.2

3.4.3.4.3.4.3.4.6.36.36.36.3



- 24 -

are multiples of each other.

3.4.6.43.4.6.43.4.6.43.4.6.4

1.11.11.11.1


Division


Division of at least whole 3-digit by 2-digit

numbers


Use a range of techniques to perform and

check written and mental calculations with whole numbers including:

• Estimation


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


numbers

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


• Multiples of 2-digit numbers to at

least 100

• Factors of 2-digit whole numbers to

at least 100

Multiplication factsMultiplication factsMultiplication factsMultiplication facts



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


of whole numbers



1.5.1.71.5.1.71.5.1.71.5.1.7

1.5.1.101.5.1.101.5.1.101.5.1.10

1.5.5.11.5.5.11.5.5.11.5.5.1

1.5.5.21.5.5.21.5.5.21.5.5.2

1.5.5.31.5.5.31.5.5.31.5.5.3

1.5.5.41.5.5.41.5.5.41.5.5.4 1.5.5.51.5.5.51.5.5.51.5.5.5

1.5.5.61.5.5.61.5.5.61.5.5.6

1.5.7.11.5.7.11.5.7.11.5.7.1

1.5.7.21.5.7.21.5.7.21.5.7.2

1.5.7.31.5.7.31.5.7.31.5.7.3

1.5.8.11.5.8.11.5.8.11.5.8.1

3.5.5.33.5.5.33.5.5.33.5.5.3 3.8.2.63.8.2.63.8.2.63.8.2.6

3.1.4.33.1.4.33.1.4.33.1.4.3



- 25 -


numbers, including financial contexts

Solve problems involving whole numbers, Solve problems involving whole numbers, Solve problems involving whole numbers, Solve problems involving whole numbers,

including:including:including:including:

• Comparing two or more quantities of the same unit (ratio)


• Grouping and equal sharing with remainders

3.8.7.23.8.7.23.8.7.23.8.7.2

4.64.64.64.6

Perimeter, area Perimeter, area Perimeter, area Perimeter, area and volumeand volumeand volumeand volume

PerimeterPerimeterPerimeterPerimeter

Measure perimeter using rules or measuring tapes.

Measurement of areaMeasurement of areaMeasurement of areaMeasurement of area

Find areas of regular and irregular shapes by

counting squares on grids in order to

develop an understanding of square units.

Measurement of volumeMeasurement of volumeMeasurement of volumeMeasurement of volume Find volume / capacity of objects by

packing or filling them in order to develop

an understanding of cubic units.

9.3.1.39.3.1.39.3.1.39.3.1.3

9.3.1.59.3.1.59.3.1.59.3.1.5

9.3.2.19.3.2.19.3.2.19.3.2.1

9.3.2.39.3.2.39.3.2.39.3.2.3

9.3.2.49.3.2.49.3.2.49.3.2.4

9.5.1.39.5.1.39.5.1.39.5.1.3

3.63.63.63.6

Position and Position and Position and Position and

movementmovementmovementmovement

Location and directionLocation and directionLocation and directionLocation and direction

Locate position of objects / drawings/

symbols on a grid using alpha-numeric grid

references.

Locate positions of objects on a map using

alpha-numeric grid references.

Follow directions to trace a path between

positions 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

3.43.43.43.4

TransformationsTransformationsTransformationsTransformations

Use transformations to create composite Use transformations to create composite Use transformations to create composite Use transformations to create composite

shapesshapesshapesshapes

Make composite 2-D shapes including

shapes with line symmetry by tracing and




- 26 -

moving a 2-D shape in one or more of the

following ways:

• By rotation

• By translation

• By reflection

Use transformations to make tessellationsUse transformations to make tessellationsUse transformations to make tessellationsUse transformations to make tessellations

Make tessellated patterns including some

patterns with line symmetry by tracing and

moving 2-D shapes in one or more of the

following ways:

• By rotation

• By translation

• By reflection

Describe patternsDescribe patternsDescribe patternsDescribe patterns

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

2.22.22.22.2

Geometric Geometric Geometric Geometric



• Investigate and extend geometric patterns looking for relationships or

rules of patterns:

� Represented in physical or

diagram form



� Of learner’s own words



rules for the patterns and relationships using

flow diagrams.


Determine equivalence of different descriptions of the same relationship or rule

presented

• Verbally



- 27 -



4.1.1.74.1.1.74.1.1.74.1.1.7

3.2.6.23.2.6.23.2.6.23.2.6.2

2.32.32.32.3

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 solution by substitution

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

5.25.25.25.2

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 20

trials.

10.2.1.310.2.1.310.2.1.310.2.1.3

10.2.1.410.2.1.410.2.1.410.2.1.4

Documents

CAPS Grade 5 A - camiweb.comcamiweb.com/CAPS/CAPS 2016/CAPS 2016 PDF/CAPS_Grade 5 Englis… · Multiples of 100 Multiples of 1 000 ... 1.1.8.51.1.8.5 1.1.8.61.1.8.6 ... • Regular