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Listed under:  Mathematics  >  Algebra  >  Number patterns
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Repeating and growing patterns: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Repeating and growing patterns. Students begin to appreciate patterns that occur around them. They learn to recognise, copy and continue different repeating patterns and observe natural patterns in the world around them.

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Use rules and algorithms: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Use rules and algorithms. Students generate and investigate patterns using concrete materials, geometric shapes, calculators and spreadsheets. Some examples are growing patterns using dots, cubes or sticks; systematically exploring dividing by 9 or multiplying by 11 ...

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Follow and create algorithms: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Follow and create algorithms. Students create, follow, and modify algorithms involving a sequence of steps and decisions to experiment with multiplication and division, factors and multiples, and the relationship of these to divisibility. Students use digital tools such ...

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Pattern pursuit

Students identify, describe and create repeating patterns.

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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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Follow and create algorithms: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Follow and create algorithms. Students create and follow algorithms involving a short sequence of steps to generate number patterns. They use digital tools such as spreadsheets and calculators to explore algorithms with larger sets of numbers. Students identify any patterns ...

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Pattern hunt

Students copy, describe and continue simple repeating patterns.

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Repeating and growing patterns: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Repeating and growing patterns. Students continue to appreciate and observe how patterns are present throughout mathematics. They recognise, describe and create additive patterns that grow or shrink by a constant amount. They also identify missing elements in pattern sequences.

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Repeating and growing patterns: Foundation – planning tool

This planning resource for Foundation is for the topic of Repeating and growing patterns. Students begin to appreciate patterns that occur around them. They learn to recognise, copy and continue different repeating patterns and observe natural patterns in the world around them.

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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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The animals went in two by two

Students recall the twos number sequence and use skip counting by twos to count a collection.

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How many quads?

In this lesson students revise and extend fluency of recall of the 4× facts. Students develop proficiently in multiplying and dividing by four, understanding the patterns in multiples of four, and applying strategies for mental multiplication with an emphasis on visual and numerical pattern recognition.

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Follow and create algorithms: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Follow and create algorithms. Students create and follow algorithms involving a sequence of steps and decisions to generate number patterns involving addition or multiplication. They analyse the patterns generated and describe and explain them.

Video

Odd and even numbers

Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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reSolve: Algebra - Equivalence

This sequence of two lessons builds students' understanding of equivalence as balance. The equals sign is used to indicate the same value on both sides of an equation. Students develop their understanding of equivalence by looking at balancing scales with blocks of different weights. Each lesson is outlined in detail including ...

Interactive

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

Musical number patterns: music maker

Make some music by building up rhythms for four instruments. Choose a starting point on a number line and build a counting rule. Count in lots between 2 and 10 until you reach 36. Add your number several times on the number line to make a pattern. For example, set up a sound pattern where a trumpet waits on the first note, ...

Interactive

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 ...