Mathematics / Year 7 / Algebra

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

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown (AC9M7A01)

Elaborations
  • linking variables to attributes and measures being modelled when using formulas, such as the area of a rectangle is equal to the length x width as \(A\;=\;l\;\times\;w\) or using \(p\;=\;6g\;+\;b\) to describe a total of points expressed as goals (worth \(6\) points) and behinds (worth one point)
  • interpreting and using formulas obtained from other sources; for example, maximum heart rates and target heart rates for moderate exercise
  • substituting numerical values for variables when using formulas and calculating the value of an unknown in practical situations; for example, calculating weekly wage \(W\) given base wage \(b\) and overtime hours \(h\) at \(1.5\) times rate \(r\), \(W\;=\;b+1.5\times h\times r\), using values for mass \(m\) and volume \(v\) to determine density \(d\) of a substance where \(d\;=\;\frac mv\)
  • using everyday formulas and their application to contexts on Country/Place, investigating the relationships between variables
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Substitution,  Variables (Mathematics),  Equations

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7 direct matches to AC9M7A01 | 13 other related resources
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Introduction to algebra

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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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Online

Expressions, formulas and substitution

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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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Video

Algebra basics video

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Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Online

Use variables: Year 7 – planning tool

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This planning resource for Year 7 is for the topic of Use variables. Students students recognise pronumerals and variables in formulas they have been exposed to. They are presented real-life scenarios and explore the relationship between variables using algebraic notation as a representation.

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Online

Formulating algebraic expressions

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This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

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Downloadable

The wide wide world of sports betting

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This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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Downloadable

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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Online

Making a positive difference in numeracy

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This teacher resource describes strategies used in a whole-school initiative to improve numeracy outcomes in Two Wells Primary School, South Australia. Strategies include: using a numeracy coach to help implement the Big Ideas in Number program (Siemon 2006); using diagnostic tools to identify students needing numeracy ...

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Online

Improving mental computation skills in middle years students

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This teacher resource describes a strategy to build the pedagogy of teachers to support the numeracy skills of students in years 3-8 in selected schools in the ACT. The resource describes the Middle Years Mental Computation (MYMC) strategy, including the MYMC assessment tool and professional learning modules. It explains ...

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Online

Numeracy improvement at Wallaroo Mines Primary School

  • TLF-IDS7046

This teacher resource describes strategies used in a whole-school initiative to improve numeracy outcomes in Wallaroo Mines Primary School, South Australia. The school used a coaching strategy - along with the Big Ideas in Number strategy (Siemon 2006). The strategies included diagnostic tools, teacher professional learning, ...

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Online

Literacy and numeracy improvement: a whole-school approach

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This teacher resource describes how 74 public schools in metropolitan, regional and rural Western Australia used three major components of the school improvement cycle to achieve significant improvement in the literacy and numeracy learning outcomes of their students. The resource is organised in nine sections: Summary, ...

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Online

Literacy and Numeracy Pilot in low SES school communities

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This teacher resource describes a pilot implemented in 76 public schools in Victoria, including primary, P-12, and secondary schools in two rural and regional and two metropolitan clusters. The pilot aimed to improve the literacy and numeracy of students in low socioeconomic status communities. This included new arrivals, ...

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Imperial pie

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This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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BBC Bitesize: fractions - revision

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This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

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Online

The laws of arithmetic and their use in algebra

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This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

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Online

Equivalent fractions and the use of the number line

  • TLF-IDM014343

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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Online

Expressing one quantity as a fraction of a second

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This is a website designed for both teachers and students that addresses the expression of one quantity as a fraction of a second quantity from the Australian Curriculum for year 7 students. It contains material on using the unitary method to solve fraction problems. There are pages for both teachers and students. The student ...

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Forest Learning: Wood Properties

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This is a resource about investigating the properties of wood. Intended for use as one or two lessons for years 7 to 10 students, the resource consists of information and practical activities. Text, still images, tables and formulae are provided about the density and compressive strength of wood from different trees; moisture ...

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Tessellating tiles

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In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

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Addition and subtraction of fractions

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This is a website designed for both teachers and students that addresses addition and subtraction of fractions. 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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