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Listed under:  Mathematics  >  Algebra  >  Number patterns
Downloadable

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.

Interactive

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Downloadable

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.

Online

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 ...

Online

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.

Online

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 ...

Video

Fun with fractals

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?

Downloadable

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.

Interactive

Monster choir: making patterns

Help monsters in a choir to make animal sounds in order. Make a sequence of up to four sounds. Choose monsters so that their sounds match the sequence. Repeat the pattern to make a song.

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

Musical number patterns: musical times

Make some music by building up rhythms from four instruments. Make a counting rule that matches a pattern on a number line. Select the start number and then select a number to count by. For example, describe a sound pattern where a saxophone waits on the first note, and then plays on every eighth note. Add a second number ...

Interactive

Number patterns

This is a five-page HTML resource about solving problems with number patterns. It contains two videos and six questions, one of which is interactive. The resource discusses and explains solving problems with number patterns to reinforce students' understanding.

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.

Downloadable

Pattern hunt

Students copy, describe and continue simple repeating patterns.

Downloadable

Pattern pursuit

Students identify, describe and create repeating patterns.

Online

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, ...

Online

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.

Online

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.

Online

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.

Online

reSolve: Addition: Partitioning

This sequence of two lessons explores early algebraic thinking around the concept of equivalence. Students develop equivalence understanding by partitioning numbers into two parts. They explore the commutative property and compensation as they are challenged to find all possible combinations. Each lesson is outlined in ...