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Mathematics / Year 7 / Algebra

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

formulate algebraic expressions using constants, variables, operations and brackets (AC9M7A02)

Elaborations
  • generalising arithmetic expressions to algebraic expressions involving constants, variables, operations and brackets; for example, \(7+7+7=3\times7,\;x+x+x=3\times x\) noting that \(3x\) includes implied multiplication and recognising the difference between \(3x+4\) and \(3(x+4)\)
  • formulating algebraic expressions that represent mathematical relationships; for example, translating from words to symbols, “think of a number” type of activities
  • recognising and applying the concept of variable as something that can change in value, investigating the relationships between variables, and the application to processes on Country/Place, including how cultural expressions of First Nations Australians, such as storytelling, communicate mathematical relationships that can be represented as mathematical expressions
General capabilities
  • Numeracy Numeracy
ScOT terms

Variables (Mathematics),  Algebraic terms

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In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Interactive

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This is a website designed for both teachers and students that addresses the introduction of algebra. It is particularly relevant for introducing the idea of the use of a variable as a way of representing numbers. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

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