Math Games

Number and place value
• Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences
- developing fluency and confidence with numbers and calculations by saying number sequences
- recognising patterns in number sequences, such as adding 10 always results in the same final digit
• Recognise, model, represent and order numbers to at least 1000
- recognising there are different ways of representing numbers and identifying patterns going beyond 100
- developing fluency with writing numbers in meaningful contexts
• Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
- using an abacus to model and represent numbers
- understanding three-digit numbers as comprised of hundreds, tens and ones/units
- demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning
• Explore the connection between addition and subtraction
- becoming fluent with partitioning numbers to understand the connection between addition and subtraction
- using counting on to identify the missing element in an additive problem
• Solve simple addition and subtraction problems using a range of efficient mental and written strategies
- becoming fluent with a range of mental strategies for addition and subtraction problems, such as commutativity for addition, building to 10, doubles, 10 facts and adding 10
- modelling and representing simple additive situations using materials such as 10 frames, 20 frames and empty number lines
• Recognise and represent multiplication as repeated addition, groups and arrays
- representing array problems with available materials and explaining reasoning
- visualising a group of objects as a unit and using this to calculate the number of objects in several identical groups
• Recognise and represent division as grouping into equal sets and solve simple problems using these representations
- dividing the class or a collection of objects into equal-sized groups
- identifying the difference between dividing a set of objects into three equal groups and dividing the same set of objects into groups of three

Fractions and decimals
• Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
- recognising that sets of objects can be partitioned in different ways to demonstrate fractions
- relating the number of parts to the size of a fraction

Money and financial mathematics
• Count and order small collections of Australian coins and notes according to their value
- identifying equivalent values in collections of coins or notes, such as two five-cent coins having the same value as one 10-cent coin
- counting collections of coins or notes to make up a particular value, such as that shown on a price tag

Patterns and algebra
• Describe patterns with numbers and identify missing elements
- describing a pattern created by skip counting and representing the pattern on a number line
- investigating features of number patterns resulting from adding twos, fives or 10s
• Solve problems by using number sentences for addition or subtraction
- representing a word problem as a number sentence
- writing a word problem to represent a number sentence

Using units of measurement
• Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units
- comparing lengths using finger length, hand span or a piece of string
- comparing areas using the palm of the hand or a stone
- comparing capacities using a range of containers
• Compare masses of objects using balance scales
- using balance scales to determine whether the mass of different objects is more, less or about the same, or to find out how many marbles are needed to balance a tub of margarine or a carton of milk
• Tell time to the quarter-hour, using the language of 'past' and 'to'
- describing the characteristics of quarter-past times on an analogue clock, and identifying that the small hand is pointing just past the number and the big hand is pointing to the three
• Name and order months and seasons
- investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.
• Use a calendar to identify the date and determine the number of days in each month
- using calendars to locate specific information, such as finding a given date on a calendar and saying what day it is, and identifying personally or culturally specific days

Shape
• Describe and draw two-dimensional shapes, with and without digital technologies
- identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners
• Describe the features of three-dimensional objects
- identifying geometric features such as the number of faces, corners or edges

Location and transformation
• Interpret simple maps of familiar locations and identify the relative positions of key features
- understanding that we use representations of objects and their positions, such as on maps, to allow us to receive and give directions and to describe place
- constructing arrangements of objects from a set of directions
• Investigate the effect of one-step slides and flips with and without digital technologies
- understanding that objects can be moved but changing position does not alter an object's size or features
• Identify and describe half and quarter turns
- predicting and reproducing a pattern based around half and quarter turns of a shape and sketching the next element in the pattern

Chance
• Identify practical activities and everyday events that involve chance. Describe outcomes as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible'
- classifying a list of everyday events according to how likely they are to happen, using the language of chance, and explaining reasoning

Data representation and interpretation
• Identify a question of interest based on one categorical variable. Gather data relevant to the question
- determining the variety of birdlife in the playground and using a prepared table to record observations
• Collect, check and classify data
- recognising the usefulness of tally marks
- identifying categories of data and using them to sort data
• Create displays of data using lists, table and picture graphs and interpret them
- creating picture graphs to represent data using one-to-one correspondence
- comparing the usefulness of different data displays