Algebra Tiles Series

Blog post, Manipulative, Teaching Idea(s)

A series of blog posts for teachers about using Algebra Tiles.

Covers directed numbers, algebraic expressions, solving linear equations, multiplying and factorising algebraic expressions, division, perfect squares and completing the square.

This link takes you to Part 1. Also available part 2, part 3, part 4 and part 5.

6 April 2021 Edit: 29 August 2021

The Australian Curriculum
Number and AlgebraNumber and place valueACMNA280 Year 7 Compare, order, add and subtract integersPatterns and algebraACMNA175 Year 7 Introduce the concept of variables as a way of representing numbers using lettersACMNA176 Year 7 Create algebraic expressions and evaluate them by substituting a given value for eacACMNA177 Year 7 Extend and apply the laws and properties of arithmetic to algebraic terms and expresACMNA190 Year 8 Extend and apply the distributive law to the expansion of algebraic expressionsACMNA191 Year 8 Factorise algebraic expressions by identifying numerical factorsACMNA192 Year 8 Simplify algebraic expressions involving the four operationsACMNA213 Year 9 Apply the distributive law to the expansion of algebraic expressions, including binoACMNA230 Year 10 Factorise algebraic expressions by taking out a common algebraic factorACMNA231 Year 10 Simplify algebraic products and quotients using index lawsACMNA233 Year 10 Expand binomial products and factorise monic quadratic expressions using a variety ACMNA234 Year 10 Substitute values into formulas to determine an unknownLinear and nonlinear relationshipsACMNA179 Year 7 Solve simple linear equationsACMNA194 Year 8 Solve linear equations using algebraic and graphical techniques. Verify solutions by
The Australian Curriculum Version 9.0 New
Year 7Number Year 7AC9M7N07 compare, order and solve problems involving addition and subtraction of integersAlgebra Year 7AC9M7A01 recognise and use variables to represent everyday formulas algebraically and substitute valAC9M7A02 formulate algebraic expressions using constants, variables, operations and bracketsAC9M7A03 solve one-variable linear equations with natural number solutions; verify the solution by sYear 8Algebra Year 8AC9M8A01 create, expand, factorise, rearrange and simplify linear expressions, applying the associatAC9M8A02 graph linear relations on the Cartesian plane using digital tools where appropriate; solve Year 9Algebra Year 9AC9M9A02 simplify algebraic expressions, expand binomial products and factorise monic quadratic exprYear 10Algebra Year 10AC9M10A01 expand, factorise and simplify expressions and solve equations algebraically, applying exp
NSW Mathematics K-10 Syllabus
Number and AlgebraMA4-4NA Computation with IntegersMA4-8NA Algebraic TechniquesMA4-10NA Equations
NSW Curriculum New
Number and algebraMA4-INT-C-01 Computation with integersAlgebraic techniquesMA4-ALG-C-01 Algebraic techniquesEquationsMA4-EQU-C-01 EquationsMA5-EQU-C-01 Equations A

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