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

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Curriculum content descriptions

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177)

Elaborations
  • identifying order of operations in contextualised problems, preserving the order by inserting brackets in numerical expressions, then recognising how order is preserved by convention
  • moving fluently between algebraic and word representations as descriptions of the same situation
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Distributivity,  Associativity,  Commutativity,  Mathematical expressions

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6 direct matches to ACMNA177 | 12 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

The laws of arithmetic and their use in algebra

  • TLF-IDM014015

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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Mental computation

  • TLF-IDM012843

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

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Interactive

Expressions

  • TLF-IDM016208

An animated tutorial with a focus on collecting 'like' terms to simplify expressions. An interactive quiz is included.

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Interactive

Terms

  • TLF-IDM016743

An animated tutorial about terms and 'like' terms, followed by an interactive quiz.

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Interactive

Squirt: three containers

  • TLF-IDA002708

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

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Interactive

The divider: with or without remainders

  • TLF-IDL2006

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

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Online

Secondary mathematics: different representations

  • TLF-IDS4971

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

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Interactive

Fish market: explore trading

  • TLF-IDL2574

Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Explore a range of traders to find the best deals and open up new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the first in a series ...

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Desmos Graphing Calculator - Google Play app

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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.

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Interactive

The Mathematical Toolkit

  • TLF-IDM016790

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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MoneySmart: MilbaDjunga - how can I start my own business?

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The MilbaDjunga secondary unit 'How can I start my own business?' is an interactive online unit developed to support teachers of Aboriginal and Torres Strait Islander students to teach consumer and financial literacy. It leads students through a step-by-step process to start a small business and is accompanied by teacher ...

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Arithmetic four

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This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

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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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Simultaneous Equations: animation

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A short animated introduction to simultaneous equations and a demonstration of the elimination method of solution, followed by an interactive quiz.

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Syllabus Bites: Revisiting proportion

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This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.

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Brackets

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A short, animated tutorial about expanding brackets, followed by an interactive quiz.

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Renovate, Calculate!

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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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