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## Matherpieces: The Art of Problem-Solving

**Strand**

Number

** Australian Curriculum Year Level**

Year 2, Year 3, Foundation Year, Year 1

##### Maths Concepts

##### 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

**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)

##### 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.

## Anno’s Counting Book

**Strand**

Number

** Australian Curriculum Year Level**

Year 2, Foundation Year, Year 1

##### Maths Concepts

##### Australian Curriculum: Description

F. Y – 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); Year 2 – Describe patterns with numbers and identify missing elements (ACMNA035)

##### Teaching ideas

Explore other mediums with patterns e.g. wrapping paper and fabric. Show students how patterns can help to predict --> expect --> plan.

## My Half Day

**Strand**

Number

##### Maths Concepts

##### Australian Curriculum: Description

Yr2 – Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (ACMNA033); Yr3 – Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058)

##### Teaching ideas

Year 9s could even read this book and be asked to place all fractions mentioned on a number line from smallest to largest. Year 2/3 ideas - have students match the abstract (5/8) to a picture/scenario from the story. Explore and investigate other examples of fractions in the real-world.

## When the King rides by

**Strand**

Number

** Australian Curriculum Year Level**

Year 2, Foundation Year, Year 1

##### Maths Concepts

##### Australian Curriculum: Description

F. Y – 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); Year 2 – Describe patterns with numbers and identify missing elements (ACMNA035)