Math Games

Collecting and organising data
• Collect data using tally marks and tables for recording
• Order data from smallest group to largest group

Representing data
• Draw a variety of graphs to display and interpret data including:
- pictographs (many-to-one correspondence)
- 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
- data sources and contexts

Reporting data
• Summarise data verbally and in short written paragraphs that include
- drawing conclusions about the data
- making predictions based on the data

Ungrouped data
• Examine ungrouped numerical data to determine the most frequently occurring score in the data set (mode)

Probability experiments
• Perform simple repeated events and list possible outcomes for experiments 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

Numeric patterns. Investigate and extend patterns
• Investigate and extend numeric patterns looking for relationships or rules of patterns:
- sequences not limited to 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 the patterns and relationships using flow diagrams
- 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

Range of shapes
• Recognize, visualize and name 2-D shapes in the environment and geometric setting, focusing on
- regular and irregular polygons - triangles, squares, rectangles, other quadrilaterals, pentagons, hexagons, heptagons
- circles
- similarities and differences between squares and rectangles

Characteristics of shapes
• Describe, sort and compare 2-D shapes in terms of
- straight and curved sides
- number of sides
- lengths of sides
- angles in shapes, limited to

Further activities
• Draw 2-D shapes on grid paper

Angles
• Recognize and describe angles in 2-D shapes:
- right angles
- angles smaller than right angles
- angles greater than right angles

Range of objects
• Recognize, visualize and name 3-D objects in the environment and geometric settings, focusing on:
- rectangular prisms and other prisms
- cubes
- cylinders
- cones
- pyramids
- similarities and differences between cubes and rectangular prisms

Characteristics of objects
• Describe, sort and compare 3-D objects in terms of
- shape of faces
- number of faces
- flat and curved surfaces

Further activities
• Make 3-D models using cut out polygons
• Cut open boxes to trace and describe their nets

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

Use transformations to make composite shapes
• Make composite 2-D shapes including shapes with line symmetry by tracing and moving a 2-D shape in one or more of the following ways:
- by rotation
- by translation
- by reflection

Use 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 patterns
• Refer to lines, 2-D shapes, 3-D objects, lines of symmetry, rotations, reflections and translations when describing patterns
- in nature
- from modern everyday life
- from our cultural heritage

Viewing of objects. Position and views
• Links the position of viewer to views of:
- single everyday objects
- collections of everyday objects or everyday scenes

Position and movement. 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
• Follow directions to trace a path between positions on a map

Whole numbers. Mental calculations involving:
• Addition and subtraction of:
- units
- multiples of 10
- multiples of 100
- multiples of 1 000
• Multiplication of whole numbers to at least 10 x 10
• Multiplication facts of:
- units by multiples of 10
- units by multiples of 100
- units by multiples of 1000
- units by multiples of 10000

Whole numbers. Number range for counting, ordering, comparing and representing, and place value of digits
• Count forwards and backwards in whole number intervals up to at least 10000
• Order, compare and represent numbers to at least 6-digit numbers
• Represent odd and even numbers to at least 1000.
• Recognize the place value of digits in whole numbers to at least 6-digit numbers.
• Round off to the nearest 5, 10, 100 and 1000

Whole numbers. Number range for calculations
• Addition and subtraction of whole numbers of at least 5 digits
• Multiplication of at least whole 3-digit by 2-digit numbers
• Division of at least whole 3-digit by 2-digit numbers

Whole numbers. Calculation techniques
• Using a range of techniques to perform and 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

Whole numbers. Number range for multiples and factors
• Multiples of 2-digits whole numbers to at least 100
• Factors of 2-digit whole numbers to at least 100

Whole numbers. Properties of whole numbers
• Recognize and use the commutative, associative, distributive properties of whole numbers
• 0 in terms of its additive property
• 1 in terms of its multiplicative property

Whole numbers. Solving problems
• Solve problems 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

Common Fractions. Describing and ordering fractions:
• Count forwards and backwards in fractions
• Compare and order common fractions to at least twelfths

Common Fractions. Calculations with fractions:
• Addition and subtraction of common fractions with the same denominators
• Addition and subtraction of mixed numbers
• Fractions of whole numbers which result in whole numbers
• Recognize, describe and use the equivalence of division and fractions

Common Fractions. Solving problems
• Solve problems in contexts involving common fractions, including grouping and sharing

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

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 any of the following units:
- millimetres (mm)
- centimetres (cm)
- metres (m)
- 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

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, watches and stopwatches

Reading calendars

Calculations and problem solving time include
• problems in contexts involving time
• calculation of time intervals where time is given in
- seconds and/or minutes
- minutes and/or hours
- hours and/or days
- days, weeks and/or months
- years and/or decades

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

Practical measuring of temperature by
• estimating
• measuring
• recording
• comparing and ordering

Measuring instruments:
• thermometers

Units:
• degrees Celsius

Calculations and problem-solving related to temperature include:
• problems in contexts related to temperatures
• calculating temperature differences limited to positive whole numbers

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