## A Very Improbable Story

**Strand**

Statistics and Probability

##### Maths Concepts

##### Australian Curriculum: Description

This book is a story centered around probability. Ethan goes about his morning routine while his cat friend “odds” teaches him about the probability of choosing two marbles the same colour from a large collection, two matching socks from a small collection and so on.

##### Teaching ideas

(1) Discuss the history of probability and the mathematicians Blaise Pascal and Pierre de Fermat; (2) "act out" the probability situations from the story to draw conclusions; (3) conduct similar experiments and record results with and without technologies

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

**Strand**

Algebra

** Australian Curriculum Year Level**

Year 5, Year 6, Year 7, Year 2, Year 3, Year 8, Year 4, Foundation Year, Year 1, Year 9

**Numeracy Strategy**

Multiplication and Division Triangle, Part-Part-Whole, Benchmarking, Find the Pattern, Draw what you can't see

##### 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

## 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

## The King’s Chessboard

##### Maths Concepts

##### Australian Curriculum: Description

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

##### Teaching ideas

Explore the concept if the wise man had asked for one gain on the first day, three on the second day, nine on the third day etc (x^3). How quickly would she have reached 1 billion grains?

## A place for zero

**Strand**

Number

** Australian Curriculum Year Level**

Year 2, Year 3, Foundation Year, Year 1

##### Maths Concepts

##### 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'.

## One Hundred Hungry Ants

##### Maths Concepts

##### Australian Curriculum: Description

Recognise and represent multiplication as repeated addition, groups and arrays

##### Teaching ideas

Explore other configurations they could have marched in. What if there had been 200 ants. What would their quickest configuration have been?

## The Boy who Loved Math

##### Maths Concepts

##### Australian Curriculum: Description

Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)

##### Teaching ideas

Used as an introductory tool for prime numbers and also collaborative work.

## One Grain of Rice

##### Maths Concepts

##### Australian Curriculum: Description

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

##### Teaching ideas

Explore the concept if Rani had asked for one gain on the first day, three on the second day, nine on the third day etc (x^3). How quickly would she have reached 1 billion grains?

## 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)