# Mathematics / Year 3 / Number and Algebra / Patterns and algebra

Curriculum content descriptions

Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA060)

Elaborations
• identifying and writing the rules for number patterns
• describing a rule for a number pattern, then creating the pattern
General capabilities
• Literacy Literacy
• Numeracy Numeracy
• Critical and creative thinking Critical and creative thinking
ScOT terms

Number patterns

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Year level 3-4
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Learning area Mathematics

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### 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.

### Balance the cups: use the rule 2

Put balls into the cups on the scales to make them balance, using the number rule A = B + C. Use your knowledge of addition and multiplication to help you work out how many balls you need in each cup. Finish the number sentence to show an equal number of balls on each side. This learning object is the second in a series ...

### 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 ...

### Patterns and sequences

This collection of 12 interactive learning objects is organised into three categories - patterns of colour or shape; patterns by number counting; and patterns and rules. Numeric, visual and auditory elements are used to create, extend, replicate and complete patterns. An understanding that patterns are predictable is developed. ...

### reSolve: Algebra: Number Sequences

This sequence of lessons aims to build students' algebraic thinking through explorations of additive number patterns. Students are challenged to solve problems to generate patterns, explore strategies for addition and subtraction and apply their skills to constructing their own new patterns.The lessons are outlined in detail ...

### Musical number patterns: counting rules: assessment

Test your understanding of counting rules by building up rhythms for four musical instruments. Make counting patterns by following the given rules, or use the musical patterns to work out what the counting rules are. Then, make your own music by creating rules to make the counting patterns. View and print a report of your ...

### Pattern shapes, by the Math Learning Centre - iTunes app

Use this open exploration tool to explore patterns in geometry, fractions, area and perimeter by creating your own shapes or filling in shapes. Use the text tool to annotate your representations. Great for work on fractions, symmetry and area. Free when reviewed on 12/5/2015.

### Exploring number patterns

Find an addition or subtraction pattern relating to four numbers on a grid. Predict the next three numbers in the pattern. For example, predict the next three numbers in the following sequence: 60, 53, 46, 39...

### Musical number patterns: odds and evens

Make some music by building up rhythms for chimes. Complete a counting rule that matches a pattern on a number line. Select the start number or select a number to count by. For example, start at 1 on a number line; then choose which number to count by (4, 5 or 6) to alternate between odd and even numbers. Add a second number ...

### 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.

### 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 ...

### 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 ...

### Scale matters: whole numbers: assessment

Test what you know about placing numbers on a number line. See two numbers on a line. Choose the best ruler to add markers to the number line and find the place for a third number. Rename the third number in two different ways by selecting the correct place values. For example, look at the numbers 35 and 47 on a number ...

### Whole numbers level 5: four-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to four digits and beyond. This is the fifth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value, rounding and number notation. Each level includes interactive drills ...

### Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Solve addition sums such as 58+9. Use a linear partitioning tool to help solve your own addition sums. Learn strategies to do complex sums in your head. Split a sum into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five objects.

### TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

### Primary mathematics: games, simulations and modelling

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### 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. ...

### Number trains: patterns: assessment

Test your understanding of numbers and order them to create patterns. Arrange train carriages according to numbers on their sides to form patterns. For example, count in fives to arrange four carriages into the sequence 12, 17, 22, 27. Identify the numbers that come before and after starting numbers. Work with numbers in ...