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Mathematics / Year 4 / Number and Algebra / Patterns and algebra

Curriculum content descriptions

Explore and describe number patterns resulting from performing multiplication (ACMNA081)

Elaborations
  • identifying examples of number patterns in everyday life
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Multiplication,  Number patterns

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.

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?

Online

MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

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MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

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. ...

Interactive

Sites2See – number for primary

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

Text

Making maths: Rangoli designs

This resource is a web page containing an activity about symmetrical patterns that are used to decorate traditional Indian clothing and architecture. The patterns contain line and/or rotational symmetry. Students can examine the patterns and identify the type of symmetry present in each one. This resource is one of a series ...

Online

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.

Online

TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

Video

MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

Video

BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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

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

Divide it up: puppies

Use a dividing tool to make equal shares of biscuits and toys in a pet shop. For example, share 34 biscuits equally between 6 puppies. Predict how many items each puppy will get, or how many packets can be filled. Check your prediction. Decide what to do with any leftovers. Complete a sentence describing the number operations.

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Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

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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 ...

Interactive

Divide it up: grouping tool

Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons. Complete a sentence describing a number operation. For example, pack 24 crayons into packets of 5. Predict how many packets are needed and identify how many items are left over.

Interactive

The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...