Math Games

Collecting and organising data
• Collect data
- using tally marks and tables for recording
- using simple questionnaires (yes/no type response)
• 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 and double bar graphs

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

Analysing data
• Analyse data by answering questions related to:
- data categories, including data intervals
- data sources and contexts
- central tendencies - (mode and median)

Reporting data
• Summarise data verbally and in short written paragraphs that includes.
- 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)
- the middlemost score in the data set (median)

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 50 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
- represented in tables
• Describe the general rules for the observed relationships

Numeric patterns. Input and output values
• Determine input values, output values and rules for the 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
- represented in tables
• Describe the general rules for the observed relationships

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

Geometric 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

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

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 should include common fraction and decimal fractions to 2 decimal places

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

Mass. Measuring instruments:
• bathroom scales (analogue and digital); kitchen scales (analogue and digital) 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
• conversions should include fraction and decimal forms (to 2 decimal places)

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

Capacity/Volume. Measuring instruments:
• measuring jugs

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

Capacity/Volume. Calculations and problem solving involving capacity/volume include:
• problems in contexts involving capacity/volume
• converting between kilolitres, litres and millilitres
- conversions should include fraction and decimal forms (to 2 decimal places)

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

Calculations and problem solving time include
• problems in contexts involving time
• reading time zone maps and calculating time differences based on time zones
• 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
- centuries, decades and/or years

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 (analogue and digital)

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
• Continue to find areas of regular and irregular shapes by counting squares on grids
• Develop rules for calculating the areas of squares and rectangles

Measurement of volume
• Continue to find volume/capacity of objects by packing or filling them
• Develop an understanding of why the volume of rectangular prisms is given

Investigate
• Relationship between perimeter and area of rectangles and squares.
• Relationship between surface area and volume of rectangular prisms

History of measurement. Know some ways in which people measured and recorded measurement in the past.

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

Characteristics of shapes
• Describe, sort and compare 2-D shapes in terms of
- number of sides
- lengths of sides
- sizes of angles

Further activities
• Draw 2-D shapes on grid paper
• Draw circles, patterns in circles and patterns with circles using a pair of pair of compasseses

Angles
• Recognize and name the following angles in 2-D shapes:
- acute
- right
- obtuse
- straight
- reflex
- revolution

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

Characteristics of objects
• Describe, sort and compare 3-D objects in terms of
- number and shape of faces
- number of vertices
- number of edges

Further activities
• Make 3-D models using:
- drinking straws, toothpicks etc
- nets

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

Transformations. Enlargement and reductions
• Draw enlargement and reductions of 2-D shapes to compare size and shape of
- triangles
- quadrilaterals

Transformations. 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

Position and views
• Links the position of viewer to views of:
- single everyday objects or collections of objects
- single or composite geometric objects

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
• Give directions to move between positions or places on a map

Mental calculations involving:
• Addition and subtraction of:
- units
- multiples of 10
- multiples of 100
- multiples of 1000
• Multiplication of whole numbers to at least 12 x 12
• Multiplication facts of:
- units and tens by multiples of 10
- units and tens by multiples of 100
- units and tens by multiples of 1000
- units and tens by multiples of 10000

Number range for counting, ordering, comparing and representing, and place value of digits
• Order, compare and represent numbers to at least 9-digit numbers
• Represent prime numbers to at least 100
• Recognizing the place value of digits in whole numbers to at least 9-digit numbers
• Round off to the nearest 5, 10, 100, 1000, 100,000, and 1,000,000

Number range for calculations
• Addition and subtraction of whole numbers of at least 6 digits
• Multiplication of at least whole 4-digit by 3-digit numbers
• Division of at least whole 4-digit by 3-digit numbers
• Multiple operations on whole numbers with or without brackets

Calculation techniques
• Using a range of techniques to perform and check written and mental calculations of whole numbers including:
- estimation
- adding, subtracting and multiplying in columns
- long division
- building up and breaking down numbers
- rounding off and compensating
- using addition and subtraction as inverse operations
- using multiplication and division as inverse operations
- using a calculator

Number range for multiples and factors
• Multiples of 2-digit and 3-digit numbers
• Factors of 2-digit and 3-digit whole numbers
• Prime factors of numbers to at least 100

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

Solving problems
• Solve problems involving whole numbers and decimal fractions, 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:
• Compare and order common fractions, including tenths and hundredths

Common Fractions. Calculations with fractions:
• Addition and subtraction of common fractions in which one denominator is a multiple of another
• Addition and subtraction of mixed numbers
• Fractions of whole numbers

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 with 1-digit or 2-digit denominators (fractions in which one denominator is a multiple of another)
• Recognize equivalence between common fraction and decimal fraction forms of the same number
• Recognize equivalence between common fraction, decimal fraction and percentage forms of the same number

Decimal fractions. Recognizing, ordering and place value of decimal fractions
• Count forwards and backwards in decimal fractions to at least two decimal places
• Compare and order decimal fractions to at least two decimal places
• Place value of digits to at least two decimal places

Decimal fractions. Calculations with decimal fractions
• Addition and subtraction of decimal fractions with at least two decimal places
• Multiply decimal fractions by 10 and 100

Decimal fractions. Solving problems
• Solve problems in context involving decimal fractions

Decimal fractions. Equivalent forms:
• Recognize equivalence between common fraction and decimal fraction forms of the same number
• Recognize equivalence between common fraction, decimal fraction and percentage forms of the same number