Mathematics / Year 10 / Number and Algebra / Patterns and algebra

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Curriculum content descriptions

Simplify algebraic products and quotients using index laws (ACMNA231)

Elaborations
  • applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices
General capabilities
  • Numeracy Numeracy
ScOT terms

Indices,  Mathematical expressions

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Interactive

Laptop wrap: Expanding on algebra

Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products. 

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TIMES Module 39: Number and Algebra: polynomials - teacher guide

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TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

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TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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TIMES Module 31: Number and Algebra: indices and logarithms - teacher guide

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Interactive

Algebra four

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

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This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.

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TIMES Module 33: Number and Algebra: factorisation - teacher guide

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

Interactive

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A short introduction to quadratic equations and how they are solved.

Interactive

Desmos Graphing Calculator - Google Play app

Plot functions, create tables, add sliders and animate your graphs. Touch points of interest on the graph to show maximums, minimums and points of intersection. Type in an equation and watch the calculator solve the problem. Free when reviewed on 12/5/2015.