Mathematics / Year 8 / Number and Algebra / Patterns and algebra

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

Simplify algebraic expressions involving the four operations (ACMNA192)

Elaborations
  • understanding that the laws used with numbers can also be used with algebra
General capabilities
  • Numeracy Numeracy
ScOT terms

Simplification (Algebra)

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9 direct matches to ACMNA192

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: 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: 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

reSolve: Algebra: Think of a number - Linear Equations

  • TLF-IDM021839

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

Algebraic expressions

  • TLF-IDM013742

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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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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Interactive

Terms

  • TLF-IDM016743

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

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Interactive

Expressions

  • TLF-IDM016208

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

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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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