Math Games

Collecting and organising data
• Collect data using tally marks and tables for recording

Representing data
• Draw a variety of graphs to display and interpret data including:
- pictographs (one-to-one correspondence between data and representation)
- bar graphs

Interpreting data
• Critically read and interpret data represented in
- words
- pictographs
- bar graphs
- pie charts

Analysing data
• Analyse data by answering questions related to data categories

Reporting data
• Summarise data verbally and in short written paragraphs

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

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

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

Length. Units:
• millimetres (mm), centimetres (cm), metres (m), kilometres (km)

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

Mass. Practical measuring of 3-D objects by
• estimating
• measuring
• recording
• comparing and ordering

Mass. Measuring instruments:
• bathroom scales, kitchen scales and balances

Mass. Units:
• grams (g) and kilograms (kg);

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

Capacity/Volume. Practical measuring of 3-D objects by
• estimating
• measuring
• recording
• comparing and ordering

Capacity/Volume. Measuring instruments:
• measuring spoons, measuring cups, measuring jugs

Capacity/Volume. Units:
• millilitres (ml), litres (l)

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

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

Time. Reading calendars

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

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

Temperature

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

Measurement 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 volume
• Find volume/capacity of objects by packing or filling them in order to develop an understanding of cubic units

History of measurement

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

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

Properties of 2-D shapes. Further activities
• Draw 2-D shapes on grid paper

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

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

Properties of 3-D objects. Further activities
• Make 3-D models using cut out polygons

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

Transformations. Build composite shapes
• Put 2-D shapes together to make different composite 2-D shapes including some shapes with line symmetry.

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

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

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

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

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

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

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

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

Number range for multiples and factors
• Multiples of 1-digit numbers to at least 100

Properties of whole numbers
• Recognize and use the commutative, associative, and distributive properties with whole numbers

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

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

Calculations with fractions:
• Addition of common fractions with the same denominators
• Recognize, describe and use the equivalence of division and fractions

Solving problems
• Solve problems in contexts involving fractions, including grouping and equal sharing

Equivalent forms:
• Recognize and use equivalent forms of common fractions (fractions in which one denominator is a multiple of another)

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

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

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

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

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

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

Number sentences
• Write number sentences to describe problem situations
• Solve and complete number sentences by
- inspection
- trial and improvement
• Check solution by substitution