Mathematics / Year 7 / Number and Algebra / Patterns and algebra

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

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

Elaborations
  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra
General capabilities
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Pronumerals

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Year level 7-8
Resource type
Learning area Mathematics
Interactive resource

School canteen: best buy: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that the unit prices are different for packs of different sizes. Perform basic calculations to work out how many packs you will need, and which available pack size will be the cheapest. ...

Interactive resource

School canteen: two traders: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. Perform basic calculations to select the cheaper deal for each item. Compare the total cost of the items from ...

Interactive resource

School canteen: estimate and check: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and sesame bars. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate which ...

Moving Image

Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

Interactive resource

Circus towers: triangular towers

Work out how many acrobats are needed to form triangle-shaped human towers. Start by building a triangle with three acrobats: two acrobats in the base layer and one acrobat standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Interactive resource

Circus towers: square pyramids

Work out how many acrobats are needed to form pyramid-shaped human towers. Start by building a square pyramid with five acrobats: four acrobats in the base layer and one acrobat standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to ...

Teacher resource

Introduction to algebra

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 ...

Teacher resource

reSolve: Algebra - Prisms and pyramids

This lesson engages students in investigating the relationship between the number of faces, edges and vertices of pyramids and prisms. Students construct their own 3D shapes, systematically record the properties of the shape and develop an algebraic formula to generalise the relationships discovered. The lesson is outlined ...

Interactive Resource

Matching a formula to a given context

This is a five-page HTML resource about solving problems concerning matching formula in a given context. It contains five questions, two of which are interactive, and one video. The resource discusses and explains determining a formula to reinforce students' understanding.

Teacher resource

TIMES Module 23: Number and Algebra: algebraic expressions - teacher guide

This is a 25-page guide for teachers. This module introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

Interactive Resource

Solution of simple linear equations

This is a six-page HTML resource about solving problems concerning simple linear equations. It contains five questions, three of which are interactive, and one video. The resource discusses and explains the solution of simple linear equations to reinforce the students' understanding.

Interactive Resource

Substitute values into simple linear equations

This is a five-page HTML resource about solving problems concerning substitution into simple linear equations. It contains four questions, one of which is interactive, and one video. The resource discusses and explains substitution into simple linear equations to reinforce students' understanding.

Text

BBC Bitesize: linear sequences - revision

These illustrated information sheets revise the definition of a sequence and the nth term. The method of finding the rule for the nth term is extended to more complicated sequences. Highest common factors and lowest common multiples of pairs of numbers are found. This resource is one of a series of online resources from ...

Teacher resource

TIMES Module 24: Number and Algebra: negatives and the index laws in algebra - teacher guide

This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

Teacher resource

TIMES Module 26: Number and Algebra: linear equations - teacher guide

This is a 16-page guide for teachers. It introduces the solution of linear equations and their uses.