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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

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Number Freak : From 1 to 200 The Hidden Language of Numbers Revealed

Derrick Niederman

Strand

Australian Curriculum Year Level
, , , , ,

Numeracy Strategy

Maths Concepts
Australian Curriculum:  Description

“Number Freak is a guided tour of the numbers 1 to 200 – covering everything from basic mathematical principles to ancient unsolved theorems, from sublime theory to delightfully ridiculous trivia, and spanning the worlds of science, nature, sports, literature, pop culture and more”.

Teaching ideas
Hooks/starters for lessons. Introduction to new topics. Ideas to showcase mathematics or numeracy at subject evenings, open days, learning fairs etc. Lots of cross-KLA references and ideas to spark interests.

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Anno’s Mysterious Multiplying Jar

Masaichiro and Mitsumasa Anno

Strand

Australian Curriculum Year Level
, ,

Numeracy Strategy

Maths Concepts
Australian Curriculum:  Description

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

Teaching ideas
At a year 6 level, factorial numbers can be used to help students understand and be able to explain the power of the operation of multiplication in contrast with addition. Specialist Mathematics in the Senior Secondary Mathematics Curriculum (ACARA) covers the concept of factorial notation (ACMSM003).

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Sir Cumference and the Sword in the Cone

Cindy Neuschwander

Strand

Australian Curriculum Year Level
, , ,

Numeracy Strategy

Maths Concepts
Australian Curriculum:  Description

Year 5 – Measurement and Geometry : Shape – Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111); Year 6 – Measurement and Geometry : Shape – Construct simple prisms and pyramids (ACMMG140); Year 7 – Measurement and Geometry : Shape – Draw different views of prisms and solids formed from combinations of prisms (ACMMG161); Year 8 – Measurement and Geometry : Shape – Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area (ACMMG197).

Teaching ideas
* Year 5 students could use page 5 to "form the solids and find their places"; * Year 6 students could use page 5 to "form the solids and find their places"; * Year 7 students could investigate Euler's Law by folding nets to form prisms and pyramids. They =could then draw up an investigation table (page 12) and draw their own conclusions; * By year 8 the mathematical vocabulary students know should enable them to understand and apprecaite the entire book. The teacher could pose the problem from the book without reading it, and have students work in groups to solve it. Were the steps you took to solving it the same as Radius and Vertex's?