Matherpieces: The Art of Problem-Solving

Greg Tang

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).

Inchworm and a Half

Elinor J Pinczes

Australian Curriculum:  Description

Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday language (ACMMG006); Measure and compare the lengths and capacities of pairs of objects using uniform informal units (ACMMG019)

Teaching ideas
Measuring other lengths using concrete materials, e.g. string. Explain the history of what sea speed is measured in knots (concrete idea for measuring an abstract concept)

A place for zero

Angeline Sparagna LoPresti

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 Thing : featuring Charlie and Lola

Lauren Child

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

Mitsumasa Anno

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.

When the King rides by

Margaret Mahy

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.

How Many Snails?

Paul Giganti Jr

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.

Each Orange Had 8 Slices

Paul Giganti Jr

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); F.Y – Represent practical situations to model addition and sharing (ACMNA004); Year 1 – Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015); Year 3 – Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)

Teaching ideas
Build on the concept of counting on, partitioning and part-part-whole with other object sequences.

12 Ways to Get to 11

Eve Merriam

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); F.Y – Represent practical situations to model addition and sharing (ACMNA004); Year 1 – Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015)

Teaching ideas
Build on the concept of counting on, partitioning and part-part-whole with other object sequences.