Strand NumberAlgebraMeasurementSpaceStatistics and ProbabilityProfessional ReadingProblem Solving Year Year 5Year 6Year 7Year 2Year 3Year 8Year 4Foundation YearYear 1Year 9Year 10Maths AMaths B Numeracy Strategy Multiplication and Division TriangleAct it OutPart-Part-WholeLook for a patternAdditive to Multiplicative ThinkingBenchmarkingSee the Parts to match the wholeNumber LineTables and GraphsDraw a diagramVisualisationFind the PatternDraw what you can't seeMental StrategiesVarious Mathematics Concepts Repeat equal groupsDivision with a remainderPlace valueDivision without a remainderPrime numbersEuler's LawPrisms and Pyramids and their netsGeometric properties/reasoningRelationship between faces, vertices and edges in 3D shapesCountingNaming numbersPartitioningPatternsSubitisingCounting onAdditionNumber lineDoublingEarly multiplicationArea and perimeter of squares and rectanglesFractionsFour operationsTimeLarge numbersx^2MoneyArraysMultiplicationMeasurementSkip CountingAlgebraTimelinesMulti step problemsMetric conversionsCross curricular links to mathsGeometric propertiesAngle sizeSide lengthTransformationsIndex notationMathematical metaphorsFibonacci sequenceCirclesSpheresRegular polygonsPolyhedraPythagoras' theoremAnglesGeometryRatioProportionAveragesEstimationVocabularyProblem Solving3D ShapesPuzzlesRate4 OperationsMassData Representation and VisualisationSpeed (MPH)ProbabilityAddition and SubtractionDivisionVarious

## Mathterpieces: The Art of Problem-Solving

##### Australian Curriculum:  Description

Foundation Year – Subitise small collections of objects (ACMNA003);
Year 1 – Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning, and rearranging parts (ACMNA015);
Year 2 – Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA035).

##### Teaching ideas
Students investigate other situations involving subitising and counting on with and without distractors in routine and non-routine situations. Students could write the number sentences represented by art in this book (representational to abstract).

## Give Me Half!

##### Australian Curriculum:  Description

This story is about a brother and sister who are asked to share all their food and drink; pizza, cupcakes, drink etc

##### Teaching ideas
(1) Read the story and describe what's going on in each picture; (2) vocabulary-half, whole, share, divide, divided equally; (3) gather materials (objects, quantities and collections) and discuss how you would halve them; (4) draw pictures of objects in your classroom, and lines to show 'half'

## Math for All Seasons

##### Australian Curriculum:  Description

This book explores counting up collections of items and objects. The book encourages seeing patterns to make the counting quicker than one-by-one.

##### Teaching ideas
(1) Prep students can count the objects in the collections within this book; (2) years 1-3 students can be encouraged to 'see the pattern' to help them partition to count up the objects in the quantities quicker; (3) Final pages of the book show the answers using numbers and symbols as well as circles drawn around the collection, year 2s and 3s should be encouraged to set their work out using numbers and symbols

## Who Sank the Boat?

##### Australian Curriculum:  Description

The story of 5 animal friends who decide to take a boat trip. It all goes pear-shaped when the boat won’t hold all the weight. So, who sinks the boat?

##### Teaching ideas
Other investigations based on the book; would the order they got in the boat have effected the outcome? Place the animals in order of lightest to heaviest - test your prediction. How would a bigger boat have effected the outcome?

## Adam Spencer’s Mind-Boggling Maths, Outrageous Puzzles, Enormous Super-Cool Games Book of Numbers and heaps of other fun stuff!

##### Australian Curriculum:  Description

Prep-Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment (ACMMG009); YR1-Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features (ACMMG022); YR2-Describe the features of three-dimensional objects (ACMMG043); YR3-Identify symmetry in the environment (ACMMG066); YR4-Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074); YR5-Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291); YR6-Construct simple prisms and pyramids (ACMMG140); YR7-Draw different views of prisms and solids formed from combinations of prisms (ACMMG161); YR8-Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188); YR9-Express numbers in scientific notation (ACMNA210)

##### Teaching ideas
Real-world application in this book. Cross-curricular links are strong too, science, humanities, music, HPE etc

## Maths Curse

##### Australian Curriculum:  Description

3-Tell time to the minute and investigate the relationship between units of time (ACMMG062); 4-Investigate equivalent fractions used in contexts (ACMNA077); 5-Choose appropriate units of measurement for length, area, volume, capacity and mass; 6-Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133)

##### Teaching ideas
There are lots of concepts explored in this book that could be extrapolated and explored further; (1) time, (2) timelines; (3) multistep problems; (4) conversions between units; (5) fractions; (6) cross KLA references; (7) charts, (8) binary, (9) Fibonacci; (10) money

## One is a Snail Ten is a Crab

##### Australian Curriculum:  Description

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

##### Teaching ideas
Use other objects to represent multiplicative thinking

## Matherpieces: The Art of Problem-Solving

##### Australian Curriculum:  Description

Subitise small collections of objects (ACMNA003); Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015); Describe, continue, and create number patterns resulting from performing addition or subtraction

##### Teaching ideas
Students investigate other situations involing subitising and counting on with and without distractors in routine and non-routine situations. Students could write the number sentences represented by art in this book (representational to abstract).

## A place for zero

##### Australian Curriculum:  Description

Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (ACMNA001); Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (ACMNA002); Yr1-Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line (ACMNA013); Yr2-Recognise, model, represent and order numbers to at least 1000 (ACMNA027); Yr3-Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)

##### Teaching ideas
Explore adding numbers up to 10 then beyond and up to 900. Explore adding and multiplying by 0. Conduct some experiments with 'numberator' and 'multi-tube'.