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

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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

Video

What is a fractal?

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

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?

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.

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 ...

Online

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 ...

Interactive

Number trains

Arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as words, numerals, dice dots or counting frames. Identify the numbers that come before and after starting numbers. Begin with numbers up to ten. Move on to work with larger numbers such as 40 and 50. Practise ...

Interactive

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.

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 ...

Online

Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

Video

Hour of Code: Bill Gates explains If statements

The Hour of Code is a one-hour introduction to computer science, designed to demystify code and show that anybody can learn the basics. In this video, Bill Gates, creator of Microsoft introduces the If statement. He explains that the If statement is a fundamental concept in computer programming. By demonstrating the use ...

Video

Hour of Code: Chris Bosh teaches Repeat Until statements

The Hour of Code is a one-hour introduction to computer science, designed to demystify code and show that anybody can learn the basics. In this video, basketball star Chris Bosh explains the difference between a Repeat Until command and a Repeat Loop command. This is the third of seven clips in the Hour of Code tutorial. ...

Video

Hour of Code: Introduction

The Hour of Code is a one-hour introduction to computer science, designed to demystify code and show that anybody can learn the basics.  This video explains what computer science is and what a computer programmer does. This is the first of seven clips in the Hour of Code tutorial. To try your hand at coding visit learn.code.org

Video

Hour of Code: Mark Zuckerberg teaches Repeat Loops

The Hour of Code is a one-hour introduction to computer science, designed to demystify code and show that anybody can learn the basics. In this instructional video, Facebook's Mark Zuckerberg explains what a Repeat Loop is and how to use the repeat block. This is the second of seven clips in the Hour of Code tutorial. To ...

Video

Hour of Code: Saloni on the If/Else block

The Hour of Code is a one-hour introduction to computer science, designed to demystify code and show that anybody can learn the basics. In this video, Saloni explains what an If/Else statement is and looks at how If/Else blocks can be used to program the movement of a zombie character. This is the fifth of seven clips in ...

Video

Unplugged Activity: Graph Paper Programming

This video introduces one of code.org's unplugged activities and provides an introduction to programming without the use of computers. One student takes on the role of "programmer", drawing arrows and scribbles on paper to guide the other student to re-create a particular picture. For more information on the activities ...

Video

Unplugged Activity: My Robotic Friends

This video introduces one of code.org's unplugged activities and provides an introduction to programming without the use of computers. One group of students take on the role of "programmer", drawing arrows on paper to guide the other group of students, the "robots" to build a stack of cups in a particular configuration. ...

Video

Unplugged Activity: What is computer science?

Do you know what a computer programmer does? Watch as some experts in the field explain. For more information on the activities introduced in this video, visit http://learn.code.org/s/1/level/1

Video

Unplugged Activity: Computational Thinking

This video introduces one of code.org's unplugged activities. It discusses a lesson on Computational Thinking, designed to show you how to take a big difficult problem and turn it into several simpler problems. The goal of the lesson is for a group of students to write a set of instructions for another group of students ...

Video

Phi challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.