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Teacher resource

TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

Teacher resource

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

Teacher resource

TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

Teacher resource

TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

Teacher resource

TIMES Module 19: Number and Algebra: whole number arithmetic - teacher guide

This is a 17-page guide for teachers, a module that introduces addition of whole numbers.

Teacher resource

TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

Interactive Resource

Order of operations

This is a set of interactive questions relating to the laws of arithmetic, their usefulness in calculations, and their importance and relevance in order of operations calculations. The questions challenge and extend students' thinking about generalisations of the laws and make a link between arithmetic and algebra. The ...

Text

Mental computation

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

Teacher resource

Top drawer teachers: mental computation

This is a web page that comprehensively covers the teaching of strategies for mental computation through links to six sections. The first section covers the ‘Big ideas’ behind mental computation, and the second section uses research findings to identify some common learning issues when becoming fluent in mental computation. ...

Teacher resource

The laws of arithmetic and their use in algebra

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

Interactive resource

The number partner

Explore how to break up numbers into pairs of smaller numbers such as 15 = 9 + 6. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions. Use a partitioning tool to break up numbers under 30. Recognise number patterns; use the strategy of counting on.

Interactive resource

The number partner: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for breaking up numbers into pairs of smaller numbers, eg 15 = 11 + 4. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions.

Interactive resource

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive resource

The difference bar: make your own easy subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of numbers such as 8 and 64. Choose your own pairs of numbers (a single-digit number and a two-digit number). Split the numbers into parts that are easy to work with, work out each part and then solve the ...

Interactive resource

The difference bar: make your own hard subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 27 and 86. Choose your own pairs of numbers. Split the numbers into parts that are easy to work with, work out each part and then solve the original calculation. This learning ...

Tablet friendly (Interactive resource)

The difference bar: generate easy subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 25 and 34. In these examples, the difference is always less than ten. Split the numbers into parts that are easy to work with, work out each part and then solve the original calculation.

Interactive resource

The difference bar: generate hard subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 25 and 44. In most of these examples, the difference is greater than ten. Split the numbers into parts that are easy to work with, work out each part and then solve the original ...

Interactive resource

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Tablet friendly (Interactive resource)

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

Interactive resource

The divider: without remainders

Solve whole number division problems such as 156/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.