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Linear expressions and equations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Linear expressions and equations. Students build on their knowledge of the order of operations, simplifying algebraic terms and their prior knowledge of the arithmetic laws. Students will now create and rearrange linear expressions, as well as expand and factorise them.

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Algebraic expressions

This is a website designed for both teachers and students that addresses algebraic expressions from the Australian Curriculum for year 8 students. It contains material on using simple positive and negative fractions, substitution, collecting like terms, taking products, and expanding brackets using the distributive law ...

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8A01A Algebra - Ochre Education

This unit of work focuses on algebra. Students simplify algebraic expressions involving adding, subtracting, multiplying, and dividing simple algebraic terms up to squares and cubes of algebraic factors that do not require use of exponent laws (such as multiplying and dividing coefficients or writing chains of or fractions ...

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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.

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Representing Patterns (Year 7) - Calculate

Patterns can be represented in several ways and this unit will explore five different representations.

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Mixing Lemonade

This resource is a web page containing an interactive task to explore ratios and proportions. Compare different mixtures of lemonade and develop a strategy for deciding which is stronger each time. The task requires students to apply their understanding of ratio and proportions. A 'Getting started' page, 'Solution' and ...

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reSolve: Polygon Pieces

This lesson explores the geometry of cutting polygons in different ways and using algebra to express subsequent findings. Students use one straight cut to divide a convex polygon into two new polygons. They make generalisations about the total number of sides of the two new polygons, and about the number of different combinations ...

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reSolve: Algebra: Think of a number - Linear Equations

This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. The lesson is outlined ...

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reSolve: Algebra: Tens and Units

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

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reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

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Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

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TIMES Module 17: Number and Algebra: the unitary method - teacher guide

This is an 18-page guide for teachers. This module introduces the idea of ratios and rates.

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reSolve: Working with algebra

This sequence of two lessons gives students opportunities to explore and share strategies for solving algebraic problems. The lessons focus on open-ended problem solving and developing multiple approaches to solving problems algebraically such as using like terms and substitution. Students work individually and in small ...

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TIMES Module 20: Number and Algebra: percentages - teacher guide

This is a 15-page guide for teachers. This module introduces percentages and their many uses in science, commerce and measurement.

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TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

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reSolve: Algebra: Addition Chain

This sequence of lessons explores making algebraic generalisations of sequences. Students use spreadsheets to investigate potential arithmetic relationships and then use algebra to identify and justify which relationships are generally true. The task can be used as a springboard for an in-depth exploration of the Fibonacci ...