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

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Curriculum content descriptions

Expand binomial products and factorise monic quadratic expressions using a variety of strategies (ACMNA233)

Elaborations
  • exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations
  • identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs
  • using the identities for perfect squares and the difference of squares to factorise quadratic expressions
General capabilities
  • Numeracy Numeracy
ScOT terms

Distributivity,  Polynomials

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6 direct matches to ACMNA233 | 7 other related resources

Interactive

Laptop wrap: Expanding on algebra

  • TLF-IDM016566

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 33: Number and Algebra: factorisation - teacher guide

  • TLF-IDM009036

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.

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Interactive

Algebra four

  • TLF-IDM012007

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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Factorising Quadratics and Solving - Calculate

  • TLF-IDA004267

This activity explores the properties of the family of functions and their graphs known as parabolas. The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end ...

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Geometry of water sources and landforms

  • TLF-IDA003742

Indigenous cultures have always been deeply aware of the location of water and its significance. In this resource students will apply geometric, trigonometric, and algebraic techniques to analyse idealised water body shapes and associated landforms. They will calculate surface areas, volumes, angles, and heights of these ...

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The Mathematics of Projectiles - Calculate

  • TLF-IDA004314

This activity provides a practical introduction to the motion of projectiles with a focus on angles. It is designed as a lead in to parabolic and quadratic functions.

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Interactive

Laptop wrap: Parallelendicular

  • TLF-IDM016249

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0. 

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Interactive

Desmos Graphing Calculator - Google Play app

  • TLF-IDM019620

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.

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Text

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

  • TLF-IDM009050

This is a 27-page guide for teachers. This module introduces addition, subtraction, multiplication and division of polynomials. Factorisation of polynomials and the solution of polynomial equations are also discussed.

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Solving Linear Equations - Calculate

  • TLF-IDA004266

This unit of work focuses on solving linear equations. It includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas. A short quiz at the end of the AMSI Interactive will help students to test their understanding at the completion ...

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Linear Relationships (and how Maths can help you choose a great car) - Calculate

  • TLF-IDA004305

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.

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Trade and Investment at a Glance

  • TLF-IDM025125

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

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Voronoi Diagrams - Calculate

  • TLF-IDA004303

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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