
4Grade 4 Standards
Top Mathematicians

Measurement

4.MT.1.1
Length. Practical measuring of 2D shapes and 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 

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4.1435

4.755


4.MT.1.2
Length. Measuring instruments:
• rulers, metre sticks, tape measures, trundle wheels 

4.MT.1.3
Length. Units:
• millimetres (mm), centimetres (cm), metres (m), kilometres (km) 
4.MT.1.4
Length. Calculations and problemsolving involving length
• Solve problems in contexts involving length
• Conversions include converting between
 millimetres (mm), and centimetres (cm)
 centimetres (cm) and metres (m)
 metres (m) and kilometres (km)
• Conversions limited to whole numbers and common fractions 
4.MT.2.1
Mass. Practical measuring of 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 
4.MT.2.2
Mass. Measuring instruments:
• bathroom scales, kitchen scales and balances 

4.MT.2.3
Mass. Units:
• grams (g) and kilograms (kg); 
4.MT.2.4
Mass. Calculations and problemsolving involving mass include:
• problems in contexts involving mass
• converting between grams and kilograms limited to examples with whole numbers and fractions 
4.MT.3.1
Capacity/Volume. Practical measuring of 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 
4.MT.3.2
Capacity/Volume. Measuring instruments:
• measuring spoons, measuring cups, measuring jugs 

4.MT.3.3
Capacity/Volume. Units:
• millilitres (ml), litres (l) 
4.MT.3.4
Capacity/Volume. Calculations and problem solving involving capacity/volume include:
• problems in contexts involving capacity/volume
• converting between litres and millilitres limited to examples with whole numbers and fractions 
4.MT.4.1
Time. Reading time and time instruments
• Read, tell and write time in 12hour and 24hour formats on both analogue and digital instruments in
 hours
 minutes
 seconds
• Instruments include clocks and watches 

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4.MT.4.2
Time. Reading calendars


4.MT.4.3
Time. Calculations and problem solving time include
• problems in contexts involving time
• calculation of the number of days between any two dates within the same or consecutive years
• calculation of time intervals where time is given in minutes or hours only 

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4.MT.4.4
Time. History of time
• Know some ways in which time was measured and represented in the past 

4.MT.5.1
Temperature


4.MT.6.1
Perimeter, surface area and volume. Perimeter
• Measure perimeter using rulers or measuring tapes 

4.MT.6.2
Measurement of area
• Find areas of regular and irregular shapes by counting squares on grids in order to develop an understanding of square units 

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4.MT.6.3
Measurement of volume
• Find volume/capacity of objects by packing or filling them in order to develop an understanding of cubic units 
4.MT.7.1
History of measurement


4.MT.1.1

Space and Shape (Geometry)

4.G.3.1.1
Properties of 2D shapes. Range of shapes
• Recognize, visualize and name 2D shapes in the environment and geometric settings
 regular and irregular polygons  triangles, squares, rectangles, other quadrilaterals, pentagons, hexagons
 circles 
4.G.3.1.2
Properties of 2D shapes. Characteristics of shapes
• Describe, sort and compare 2D shapes in terms of
 straight and curved sides
 number of sides 

4.1175

4.1185

4.1195

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4.1285


4.G.3.1.3
Properties of 2D shapes. Further activities
• Draw 2D shapes on grid paper 

4.G.3.2.1
Properties of 3D objects. Range of objects
• Recognize, visualize and name 3D objects in the environment and geometric settings, focusing on:
 rectangular prisms,
 spheres
 cylinders
 pyramids 
4.G.3.2.2
Properties of 3D objects. Characteristics of objects
• Describe, sort and compare 3D objects in terms of
 shapes of faces
 flat and curved surfaces 

4.1295


4.G.3.2.3
Properties of 3D objects. Further activities
• Make 3D models using cut out polygons 

4.1295


4.G.3.3.1
Symmetry
• Recognize, draw and describe line(s) of symmetry in 2D shapes 
4.G.3.4.1
Transformations. Build composite shapes
• Put 2D shapes together to make different composite 2D shapes including some shapes with line symmetry. 

4.G.3.4.2
Transformations. Tessellations
• Pack out 2D shapes to make tessellated patterns including some patterns with line symmetry. 

4.G.3.4.3
Transformations. Describe patterns
• Refer to lines, 2D shapes, 3D objects and lines of symmetry when describing patterns
 in nature
 from modern everyday life
 our cultural heritage 

4.G.3.5.1
Viewing of objects. Position and views
• Match different views of everyday objects
• Identify everyday objects from different views 

4.G.3.6.1
Location and directions
• Locate position of objects, drawings or symbols on a grid with alphanumeric grid references
• Locate positions of objects on a map by using alphanumeric grid references 

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4.G.3.1.1

Data Handling

4.DH.1.1
Collecting and organising data
• Collect data using tally marks and tables for recording 

4.DH.2.1
Representing data
• Draw a variety of graphs to display and interpret data including:
 pictographs (onetoone correspondence between data and representation)
 bar graphs 

4.1525

4.1535

4.1545


4.DH.3.1
Interpreting data
• Critically read and interpret data represented in
 words
 pictographs
 bar graphs
 pie charts 

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4.DH.3.2
Analysing data
• Analyse data by answering questions related to data categories 

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4.DH.3.3
Reporting data
• Summarise data verbally and in short written paragraphs 

4.DH.4.1
Probability experiments
• Perform simple repeated events and list possible outcomes for experiments such as:
 tossing a coin
 rolling a die 

4.1645

4.1655


4.DH.1.1

Patterns, Functions and Algebra

4.PFA.2.1.1
Numeric patterns. Investigate 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 

4.920

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4.PFA.2.1.2
Numeric patterns. Input and output values
• Determine input values, output values and rules for patterns and relationships using
 flow diagrams
 tables 

4.775

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4.PFA.2.1.3
Numeric patterns. Equivalent forms
• Determine equivalence of different descriptions of the same relationship or rule presented
 verbally
 in a flow diagram
 in a table
 by a number sentence 

4.10510

4.1095

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4.1125

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4.PFA.2.2.1
Geometric patterns. Investigate and extend patterns
• 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
• Describe observed relationships or rules in learner's own words 

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4.PFA.2.2.2
Geometric patterns. Input and output values
• Determine input values, output values and rules for the patterns and relationships using flow diagrams 

4.PFA.2.2.3
Geometric patterns. Equivalent forms
• Determine equivalence of different descriptions of the same relationship or rule presented
 verbally
 in a flow diagram
 by a number sentence 

4.795

4.1105

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4.1125

4.11320


4.PFA.2.3.1
Number sentences
• Write number sentences to describe problem situations
• Solve and complete number sentences by
 inspection
 trial and improvement
• Check solution by substitution 

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4.PFA.2.1.1

Numbers, Operations and Relationships

4.NOR.1.1.1
Mental calculations involving:
• Addition and subtraction of:
 units
 multiples of 10
 multiples of 100
 multiples of 1000
• Multiplication of whole numbers to at least 10 x 10
• Multiplication facts of:
 units by multiples of 10
 Units by multiples of 100 

4.115

4.220

4.315

4.420

4.520

4.620

4.75

4.820


4.NOR.1.1.2
Number range for counting, ordering, comparing and representing, and place value of digits
• Count forwards and backwards in 2s, 3s, 5s, 10s, 25s, 50s, 100s between 0 and at least 10 000.
• Order, compare and represent numbers to at least 4digit numbers
• Represent odd and even numbers to at least 1 000.
• Recognize the place value of digits in whole numbers to at least 4digit numbers
• Round off to the nearest 10, 100, 1000 

4.920

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4.NOR.1.1.3
Number range for calculations
• Addition and subtraction of whole numbers of at least 4 digits
• Multiplication of at least whole 2digit by 2digit numbers
• Division of at least whole 3digit by 1digit numbers 

4.1820

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4.225

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4.NOR.1.1.4
Calculation techniques
• Use a range of techniques to perform and check written and mental calculations of whole numbers including
 estimation
 building up and breaking down numbers
 rounding off and compensating
 doubling and halving
 using a number line
 using addition and subtraction as inverse operations
 using multiplication and division as inverse operations 

4.1615

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4.2120

4.225

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4.4120

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4.5015

4.5120

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4.5765

4.5845

4.5920

4.6015

4.6115


4.NOR.1.1.5
Number range for multiples and factors
• Multiples of 1digit numbers to at least 100 
4.NOR.1.1.6
Solving problems
• Solve problems in contexts involving whole numbers, 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)
 grouping and equal sharing with remainders 

4.2920

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4.7115

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4.735

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4.765

4.775

4.785

4.795

4.805

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4.NOR.1.1.6
Properties of whole numbers
• Recognize and use the commutative, associative, and distributive properties with whole numbers 

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4.NOR.1.2.1
Describing and ordering fractions:
• Compare and order common fractions with different denominators (halves; thirds, quarters; fifths; sixths; sevenths; eighths)
• Describe and compare common fractions in diagram form 
4.NOR.1.2.2
Calculations with fractions:
• Addition of common fractions with the same denominators
• Recognize, describe and use the equivalence of division and fractions 

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4.NOR.1.2.3
Solving problems
• Solve problems in contexts involving fractions, including grouping and equal sharing 

4.765

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4.875

4.9320


4.NOR.1.2.4
Equivalent forms:
• Recognize and use equivalent forms of common fractions (fractions in which one denominator is a multiple of another) 

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4.NOR.1.1.1