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Mathematics / Year 8 / Algebra

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

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties (AC9M8A01)

Elaborations
  • rearranging and simplifying linear expressions involving variables with integer coefficients and constants; using manipulatives such as algebra tiles to support calculations; for example, using manipulatives to demonstrate that \(2x+4\;=\;2(x+2),\;3(a-b)=3a -3b\), or \(5(m+2n)+3m-4n\;=\;5m+10n+3m-4n\;=\;8m+6n\)
  • demonstrating the relationship between factorising and expanding linear expressions using manipulatives, such as algebra tiles or area models, and describing with mathematical language
  • using the distributive, associative, commutative, identity and inverse properties to expand and factorise algebraic expressions using strategies such as the area model
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Mathematical expressions,  Simplification (Algebra),  Number operations

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12 direct matches to AC9M8A01 | 8 other related resources
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Brackets

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A short, animated tutorial about expanding brackets, followed by an interactive quiz.

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Expressions

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An animated tutorial with a focus on collecting 'like' terms to simplify expressions. An interactive quiz is included.

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Terms

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An animated tutorial about terms and 'like' terms, followed by an interactive quiz.

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Algebraic expressions

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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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Algebra: Foundation to Year 9

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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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reSolve: Algebra: Think of a number - Linear Equations

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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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Online

reSolve: Polygon Pieces

  • TLF-IDM025320

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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Online

reSolve: Quarter Cartons

  • TLF-IDM025819

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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Online

reSolve: Algebra: Tens and Units

  • TLF-IDM021840

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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Online

Linear expressions and equations: Year 8 – planning tool

  • TLF-IDA003298

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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Online

reSolve: Working with algebra

  • TLF-IDM021061

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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Online

reSolve: Algebra: Addition Chain

  • TLF-IDM021837

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 ...

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Video

Are plants mathematicians?

  • TLF-IDM017685

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Indices

  • TLF-IDM013741

This is a website designed for both teachers and students that addresses indices from the Australian Curriculum for year 8 students. It contains material on using index notation. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

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Syllabus bites: The language of Venn diagrams

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Interactive activities supporting students learning to describe regions of a Venn diagram.

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Renovate, Calculate!

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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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The Numberline

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An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Syllabus bites: More Venn diagrams

  • TLF-IDM016138

An interactive exploration of Venn diagrams with three attributes.

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The Mathematical Toolkit

  • TLF-IDM016790

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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Interactive

Syllabus bites: Venn diagrams and Two-way tables

  • TLF-IDM016607

An interactive exploration of the relationship between Venn diagrams and Two-way tables.

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