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ANNUAL NATIONAL ASSESSMENT

MATHS GRADE 4

ADDITIONAL EXERCISES

 

The following list of “Curriculum Assessment Standards”mirrors the National Curriculum (CAPS) requirements.

National Curriculum (CAPS) demand that education for a learner should be addressed according to specific requirements. To evaluate any learning material (textbooks or workbooks) you should be aware of the progressive, per term, prerequisites as per the Educational Department Teacher Guidelines.

Definitions:
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NUMBERS, OPERATIONS AND RELATIONSHIPS

WHOLE NUMBERS

1. Mental calculations involving:
1.1. Addition and subtraction of:

  • Units
  • Multiples of 10
  • Multiples of 100
  • Multiples of 1 000
1.2. Multiplication of whole numbers to at least 10 x 10
1.3. Multiplication facts of:

  • Units by multiples of 10
  • Units by multiples of 100
2. Number range for counting, ordering, comparing, representing and place value of digits:
2.1. Count forwards and backwards 2s, 3s, 5s, 10s, 25s, 50s, 100s, between 0 and at least 10 000
2.2. Order, compare and represent numbers to at least 4-digit numbers
2.3. Represent odd and even numbers to at least 1 000
2.4. Recognizing the place value of digits in whole numbers to at least 4-digit numbers
2.5. Round off to the nearest 10, 100 and 1 000
3. Number range for calculations:
3.1. Addition and subtraction of whole numbers of at least 4 digits
3.2. Multiplication of at least whole 2-digit by 2-digit numbers
3.3. Division of at least whole 3-digit by 1-digit numbers
4. Calculation techniques
4.1. Use a range of techniques to perform and check written and mental calculations of whole numbers including:4.1.1 estimation

4.1.2 building up and breaking down numbers

4.1.4 rounding off and compensating

4.1.5 doubling and halving

4.1.6 using a number line

4.1.7 using addition and subtraction as inverse operations

4.1.8 using multiplication and division as inverse operations

5. Number range for multiples and factors
5.1. Multiples of 1-digit numbers to at least 100
6. Properties of whole numbers
6.1. Recognize and use the commutative, associative and distributive properties with whole numbers
7. Solving problems
7.1. Solve problems in contexts involving whole numbers including :

  • Financial contexts
  • Measurement contexts
7.2. Solve problems involving whole numbers, including:

  • Comparing two or more quantities of the same kind (ratio)
  • Comparing two quantities of different kinds (rate)
  • Grouping and equal sharing with remainders

Common Fractions

1. Describing and ordering fractions:
1.1. Compare and order common fractions with different denominators (halves; thirds, quarters; fifths; sixths; sevenths; eights)
1.2. Describe and compare common fractions in diagram form
2. Calculations with fractions:
2.1. Addition and common fractions with the same denominators.
2.2. Recognize, describe and use the equivalence of division and fractions
3. Solving problems
3.1. Solve problems in contexts involving fractions, including grouping and equal sharing
4. Equivalent forms
4.1. Recognize and use equivalent forms of common fractions (fractions in which one denominator is a multiple of another)

PATTERNS, FUNCTIONS AND ALGEBRA

NUMERIC PATTERNS

1. Investigate and extend patterns
1.1. Investigate and extent numeric patterns looking for relationships of rules of patterns

  • sequences involving a constant difference or ratio
  • of learner’s own creation
1.2. Describe observed relationships or rules in learner’s own words
2. Input and output values
2.1. Determine input values, output values and rules for the patterns and relationships using

  • Flow diagrams
  • Tables
3. Equivalent forms
3.1. Determine equivalence of different descriptions of the same relationship or rule presented

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

GEOMETRIC PATTERNS

1. Investigate and extend patterns
1.1. Investigate and extend geometric patterns looking for relationships or rules of patterns

  • Represented in physical or diagram form
  • Sequences not limited to a constant difference or ratio
  • Of learner’s own creation
1.2. Describe observed relationships or rules in learner’s own words
2. Input and output values
2.1. Determine input values, output values and rules for the patterns and relationships using flow diagrams
3. Equivalent forms
3.1. Determine equivalence of different descriptions of the same relationship or rule presented

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

NUMBER SENTENCES

1. Number sentences
1.1. Write number sentences to describe problem situations
1.2. Solve and complete number sentences by

  • Inspection
  • Trial and improvement
1.3. Check solution by substitution

SPACE AND SHAPE (GEOMETRY)

PROPERTIES OF 2-D SHAPES

1. Range of shapes
1.1. Recognize visualize and name 2-D shapes in the environment and geometric settings,

  • Regular and irregular polygons – triangles, squares, rectangles, other quadrilaterals, pentagons, hexagons
  • Circles
2. Characteristics of shapes
2.1. Describe, sort and compare 2-D shapes in terms of

  • Straight and curved sides
  • Number of sides
3. Further activities
3.1. Draw 2-D shapes on grid paper

PROPERTIES OF 3-D OBJECTS

1. Range of objects
1.1. Recognize, visualize and name 3-D objects in the environment and geometric settings, focusing on

  • Rectangular prisms
  • Spheres
  • Cylinders
  • Pyramids
2. Characteristics of objects
2.1. Describe, sort and compare 3-D objects in terms of

  • Shape of faces
  • Flat and curved surfaces
3. Further activities
3.1. Make 3-D models using cut out polygons

SYMETRY

1. Symmetry
1.1. Recognize, draw and describe line(s) of symmetry in 2-D shapes

TRANSFORMATIONS

1. Build composite shapes
1.1. Put 2-D shapes together to make composite 2-D shapes including some shapes with line symmetry
2. Tessellations
2.1. Pack out 2-D shapes to make tessellated patterns including some patterns with line symmetry
3. Describe patterns
3.1. Refer to lines 2-D shapes, 3-D objects and lines of symmetry when describing patterns

  • In nature
  • From modern everyday life
  • From our culture heritage

VIEWING OF OBJECTS

1. Position and views
1.1. Match different views of everyday objects
1.2. Identity everyday objects from different views

POSITION AND MOVEMENT

1. Location and directions
1.1. Locate position of objects, drawings or symbols on a grid with alpha-numeric grid references
1.2. Locate positions of objects on a map by using alpha-numeric grid references

MEASUREMENT

LENGTH

1. Practical measuring of 2-D shapes and 3-D objects by
1.1. estimating
1.2. measuring
1.3. recording
1.4. comparing and ordering
2. Measuring instruments
2.1. rulers, metric sticks, tape measures, trundle wheels
3. Units
3.1. millimetres (mm), centimetres (cm), metres (m), kilometres (km)
4. Calculations and problem-solving involving length
4.1. Solve problems in contexts involving length
4.2. Conversions include converting between:

  • Millimetres (mm) and centimetres (cm)
  • Centimetres (cm) and metres (m)
  • Metres (m) and kilometres (km)
4.3. Conversions limited to whole numbers and common fractions

MASS

1. Practical measuring of 3-D objects by
1.1. Estimating
1.2. Measuring
1.3. Recording
1.4. Comparing and ordering
2. Measuring instruments:
2.1. bathroom scales, kitchen scales and balances
3. Units
3.1. grams (g) and kilograms (kg)
4. Calculations and problem-solving involving mass include:
4.1. problems in contexts involving mass
4.2. converting between grams and kilograms limited to examples with whole numbers and fractions

CAPACITY / VOLUME

1. Practical measuring of 3-D objects by
1.1. estimating
1.2. measuring
1.3. recording
1.4. comparing and ordering
2.Measuring instruments
2.1. measuring spoons, measuring cups, measuring jugs
3. Units
3.1. millilitres (ml) litres (ℓ)
4. Calculations and problem solving involving capacity/volume include:
4.1. problems in contexts involving capacity/volume
4.2. converting between litres and millilitres limited to examples with whole numbers and fractions

TIME

1. Reading time and time instruments
1.1 Read, tell and write time in 12-hour and 24-hour formats on both analogue and digital instruments in

  • Hours
  • Minutes
  • Seconds
1.2. Instruments include clocks and watches
2. Reading calendars
3. Calculators and problem solving time include
3.1. Problem in contexts involving time
3.2. Calculation of the number of days between any two dates within the same or consecutive years
3.3. Calculation of time intervals where time is given in minutes or hours only
4. History of time
4.1. Know some ways in which time was measured and represented in the past

PERIMETER, SURFACE AREA AND VOLUME

1. Perimeter
1.1. Measure perimeter using rulers or measuring tapes
2. Measurement of area
2.1. Find areas of regular and irregular shapes by counting squares on grids in order to develop and understanding of square units
3. Measurement of volume
3.1. Find volume/capacity of objects by packing or filling them in order to develop an understanding of cubic units

DATA HANDLING

COLLECTING AND ORGANISING DATA

1. Collect data using tally marks and tables for recording

REPRESENTING DATA

1. Draw a variety of graphs to display and interpret data including:
1.1. pictographs (one-to-one correspondence between data and representation)
1.2. bar graphs

ANALYSING, INTERPRETING AND REPORTING DATA

1. Interpreting data
1.1. Critically read and interpret data represented in:1.1.1 Words

1.1.2 Pictographs

1.1.3 Bar graphs

1.1.4 Pie charts

2. Analysing data
2.1. Analyse data by answering questions related to data categories
3. Reporting data
3.1. Summarise data verbally and in short written paragraphs

PROBABILITY

1. Probability experiments
1.1. Perform simple repeated events and list possible outcomes for experiments such as:

  • Tossing a coin
  • Rolling a dice

 

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