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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Commutativity
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Factors, multiples, primes: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Factors and multiples. Students decompose composites into their prime factors and recognise primes as the building blocks of composite numbers. Students consolidate use of the distributive and commutative laws of multiplication to simplify calculations.

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Work sample Year 4 Mathematics: Number: addition and subtraction

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 4 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Put them together

Students rearrange the parts of an addition situation to show commutativity. They use appropriate thinking strategies to solve simple addition problems and record addition problems with numerals and symbols.

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MathXplosion, Ep 32: A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

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Mixed Up Maths, Ep 6: Maths saves lives

Can maths really help to save lives? In this clip we see some real life applications of mathematics. Some are about helping to save lives others are about how maths can be useful. What do Florence Nightingale and WHO, the World Health Organisation have in common?

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MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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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 ...

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Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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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.

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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. ...

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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.

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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 ...

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Introduction to binary

This sequence of lessons focuses on what a binary number is, what a decimal number is, why binary numbers are important in digital systems and how to read and understand a binary number.

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Making maths quizzes 1: Plan and test our programs

In this sequence students plan, create and edit a program that will ask maths questions that are harder or easier depending on user performance.

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MathXplosion, Ep 40: Kaprekar's operation

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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reSolve: Multiplication - reSolve Bakery

This series of three lessons explores strategies for multi-digit multiplication. Students are presented with a range of problems in the context of a bakery producing arrays of cupcakes. The lessons aim to develop a range of strategies based on the associative and distributive properties of multiplication, moving students ...

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MathXplosion, Ep 31: Heavy vs big

How would you measure and compare the weight of something? Learn why big things aren't necessarily heavy. All you need is something heavy and a lot of something light and you’ll be able to prove that weight is not the same as size.

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Making maths quizzes 2: Implementing a digital solution

In this sequence students implement a digital solution for a maths quiz. They test and assess how well it works.

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MathXplosion, Ep 2: Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

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BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?