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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.

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.

Downloadable

Pattern pursuit

Students identify, describe and create repeating patterns.

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

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 ...

Downloadable

The animals went in two by two

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

Interactive

Sites2See: Patterns and Algebra

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

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, ...

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.

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 ...

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

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

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

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 ...

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 ...