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## The Great Divide: A mathematical marathon

**Strand**

Number

##### Maths Concepts

##### Australian Curriculum: Description

This book contextualises division using a cycling marathon. Students can mentally calculate how many racers are left after each mishap then check as they turn the pages.

##### Teaching ideas

(1) Have students develop their own context/idea/story for division, have them see if their elbow partner can mentally calculate the correct answer; (2) Have students use numbers and symbols to represent the number sentences in the story

## Alex’s Adventures in Numberland

##### Maths Concepts

##### Australian Curriculum: Description

A book “reclaiming maths from the geeks”. The author explores the mathematical ideas that underpin almost every facet of our lives. He travels the world meeting the fastest human calculators and a numerate chimpanzee in Japan. Snippets of amazing mathematics in the real world and proofs that will have you rapt.

##### Teaching ideas

Hooks for lessons. Introduction to new topics. Interesting 'starters' for lessons. Ideas to showcase mathematics or numeracy at subject evenings, open days, learning fairs etc.

## Anno’s Magic Seeds

##### Australian Curriculum: Description

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082); Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

##### Teaching ideas

Explore other patterns such as square numbers, triangular numbers, Fibonacci sequence etc.

## Can you count to a googol?

**Strand**

Number

##### Maths Concepts

##### Australian Curriculum: Description

Recognise, model, represent and order numbers to at least 10 000 (ACMNA052); Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053); 4-Recognise, represent and order numbers to at least tens of thousands (ACMNA072); Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073); 7-Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)

##### Teaching ideas

## How much is a Million?

##### Maths Concepts

##### Australian Curriculum: Description

Recognise, represent and order numbers to at least tens of thousands (ACMNA072); Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)

##### Teaching ideas

The author suggests his favourite inside the front cover of the book; I would like a million …; what do we have a million of in this school?; can we walk a million millimeters?; Read a million!

## One is a Snail Ten is a Crab

**Strand**

Number

** Australian Curriculum Year Level**

Year 4

**Numeracy Strategy**

Multiplication and Division Triangle, Part-Part-Whole, Additive to Multiplicative Thinking

##### Maths Concepts

##### Australian Curriculum: Description

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

##### Teaching ideas

Use other objects to represent multiplicative thinking

## One Thing : featuring Charlie and Lola

**Strand**

Number

##### Maths Concepts

##### Australian Curriculum: Description

F.Y-Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (ACMNA002); Yr1-Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015); Yr2-Explore the connection between addition and subtraction (ACMNA029); Yr3-Recognise, model, represent and order numbers to at least 10 000 (ACMNA052); Yr3-Tell time to the minute and investigate the relationship between units of time (ACMMG062); Yr4-Recognise, represent and order numbers to at least tens of thousands (ACMNA072); Yr5-Convert between units of time (ACMMG085); Yr6-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

Teach other vocabulary that is often used differently in everyday language such as the examples in the book; e.g. "how about no things" meaning 0 things. Explore time and how long the morning routine takes students in the class. Counting and counting on items.

## Is a Blue Whale the Biggest thing there is?

##### Maths Concepts

##### Australian Curriculum: Description

Yr4 – Recognise, represent and order numbers to at least tens of thousands (ACMNA072); Yr5 – Choose appropriate units of measurement for length, area, volume, capacity and mass (ACMMG108);

##### Teaching ideas

Exploring some of these abstract concepts with concrete materials. Having the students create their own relationships between objects to aid in understanding large numbers, sizes and quantities.

## The Doorbell Rang

##### Maths Concepts

##### Australian Curriculum: Description

Number and Algrbra – Number and Place Value – Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)