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4Grade 4 Standards
Top Mathematicians
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Data Handling
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4.DH.1.1
Collecting and organising data
• Collect data using tally marks and tables for recording -
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4.DH.2.1
Representing data
• Draw a variety of graphs to display and interpret data including:
- pictographs (one-to-one correspondence between data and representation)
- bar graphs -
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4.1525
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4.1535
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4.1545
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4.DH.3.1
Interpreting data
• Critically read and interpret data represented in
- words
- pictographs
- bar graphs
- pie charts -
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4.15520
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4.15620
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4.DH.3.2
Analysing data
• Analyse data by answering questions related to data categories -
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4.15520
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4.15620
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4.1575
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4.1585
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4.1595
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4.1605
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4.1615
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4.1625
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4.1635
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4.DH.3.3
Reporting data
• Summarise data verbally and in short written paragraphs -
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4.DH.4.1
Probability experiments
• Perform simple repeated events and list possible outcomes for experiments such as:
- tossing a coin
- rolling a die -
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4.1645
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4.1655
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4.DH.1.1
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Measurement
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4.MT.1.1
Length. Practical measuring of 2-D shapes and 3-D objects by
• estimating
• measuring
• recording
• comparing and ordering -
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4.1385
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4.13915
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4.14015
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4.14115
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4.14215
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4.1435
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4.755
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4.MT.1.2
Length. Measuring instruments:
• rulers, metre sticks, tape measures, trundle wheels -
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4.MT.1.3
Length. Units:
• millimetres (mm), centimetres (cm), metres (m), kilometres (km) -
4.MT.1.4
Length. Calculations and problem-solving 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 3-D objects by
• estimating
• measuring
• recording
• comparing and ordering -
4.MT.2.2
Mass. Measuring instruments:
• bathroom scales, kitchen scales and balances -
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4.MT.2.3
Mass. Units:
• grams (g) and kilograms (kg); -
4.MT.2.4
Mass. Calculations and problem-solving 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 3-D objects by
• estimating
• measuring
• recording
• comparing and ordering -
4.MT.3.2
Capacity/Volume. Measuring instruments:
• measuring spoons, measuring cups, measuring jugs -
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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 12-hour and 24-hour formats on both analogue and digital instruments in
- hours
- minutes
- seconds
• Instruments include clocks and watches -
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4.1445
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4.1455
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4.14610
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4.1475
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4.14820
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4.14920
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4.15015
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4.MT.4.2
Time. Reading calendars
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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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4.14820
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4.14920
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4.1515
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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 -
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4.MT.5.1
Temperature
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4.MT.6.1
Perimeter, surface area and volume. Perimeter
• Measure perimeter using rulers or measuring tapes -
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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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4.13915
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4.14015
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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
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4.MT.1.1
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Space and Shape (Geometry)
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4.G.3.1.1
Properties of 2-D shapes. Range of shapes
• 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 -
4.G.3.1.2
Properties of 2-D shapes. Characteristics of shapes
• Describe, sort and compare 2-D shapes in terms of
- straight and curved sides
- number of sides -
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4.1175
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4.1185
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4.1195
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4.1205
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4.1235
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4.1245
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4.1255
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4.1265
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4.1275
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4.1285
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4.G.3.1.3
Properties of 2-D shapes. Further activities
• Draw 2-D shapes on grid paper -
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4.G.3.2.1
Properties of 3-D objects. Range of objects
• Recognize, visualize and name 3-D objects in the environment and geometric settings, focusing on:
- rectangular prisms,
- spheres
- cylinders
- pyramids -
4.G.3.2.2
Properties of 3-D objects. Characteristics of objects
• Describe, sort and compare 3-D objects in terms of
- shapes of faces
- flat and curved surfaces -
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4.1295
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4.G.3.2.3
Properties of 3-D objects. Further activities
• Make 3-D models using cut out polygons -
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4.G.3.3.1
Symmetry
• Recognize, draw and describe line(s) of symmetry in 2-D shapes -
4.G.3.4.1
Transformations. Build composite shapes
• Put 2-D shapes together to make different composite 2-D shapes including some shapes with line symmetry. -
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4.G.3.4.2
Transformations. Tessellations
• Pack out 2-D shapes to make tessellated patterns including some patterns with line symmetry. -
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4.G.3.4.3
Transformations. Describe patterns
• Refer to lines, 2-D shapes, 3-D objects and lines of symmetry when describing patterns
- in nature
- from modern everyday life
- our cultural heritage -
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4.G.3.5.1
Viewing of objects. Position and views
• Match different views of everyday objects
• Identify everyday objects from different views -
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4.G.3.6.1
Location and directions
• Locate position of objects, drawings or symbols on a grid with alpha-numeric grid references
• Locate positions of objects on a map by using alpha-numeric grid references -
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4.1375
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4.G.3.1.1
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Numbers, Operations and Relationships
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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 -
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4.115
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4.220
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4.315
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4.420
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4.520
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4.620
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4.75
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4.820
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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 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 10, 100, 1000 -
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4.920
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4.1020
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4.1115
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4.1225
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4.1310
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4.1410
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4.1615
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4.1715
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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 2-digit by 2-digit numbers
• Division of at least whole 3-digit by 1-digit numbers -
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4.1820
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4.1920
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4.2020
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4.2120
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4.225
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4.2315
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4.2415
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4.2515
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4.2620
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4.2720
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4.2820
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4.2920
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4.3020
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4.3115
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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 -
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4.1615
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4.1715
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4.1820
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4.1920
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4.2020
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4.2120
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4.225
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4.2720
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4.2820
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4.2920
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4.3020
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4.3220
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4.3320
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4.3420
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4.3520
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4.3620
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4.3720
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4.3820
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4.4020
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4.4120
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4.4220
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4.4320
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4.4420
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4.4520
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4.4620
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4.4720
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4.4820
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4.4920
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4.5015
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4.5120
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4.5220
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4.5315
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4.5420
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4.5520
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4.5620
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4.5765
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4.5845
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4.5920
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4.6015
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4.6115
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4.NOR.1.1.5
Number range for multiples and factors
• Multiples of 1-digit numbers to at least 100 -
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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4.6215
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4.6315
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4.6415
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4.6515
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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 -
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4.2920
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4.3020
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4.6615
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4.675
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4.6815
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4.6915
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4.7020
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4.7115
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4.7215
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4.735
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4.745
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4.755
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4.765
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4.775
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4.785
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4.795
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4.805
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4.8110
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4.8220
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4.8320
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4.8420
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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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4.8820
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4.8915
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4.9020
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4.9120
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4.9220
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4.NOR.1.2.3
Solving problems
• Solve problems in contexts involving fractions, including grouping and equal sharing -
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4.765
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4.785
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4.875
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4.9320
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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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4.9410
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4.9520
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4.9920
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4.10120
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4.NOR.1.1.1
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Patterns, Functions and Algebra
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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 -
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4.920
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4.9920
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4.10415
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4.10510
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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 -
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4.775
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4.10510
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4.10615
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4.10815
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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 -
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4.10510
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4.1095
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4.1105
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4.11110
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4.1125
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4.11320
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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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4.10415
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4.10510
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4.1145
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4.11515
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4.11615
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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 -
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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 -
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4.795
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4.1105
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4.11110
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4.1125
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4.11320
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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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4.4220
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4.4920
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4.5015
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4.5120
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4.5220
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4.5315
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4.5920
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4.10510
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4.1095
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4.1105
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4.11110
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4.1125
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4.11320
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4.PFA.2.1.1