Mathematics / Year 10 / Number and Algebra / Linear and non-linear relationships

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Curriculum content descriptions

Solve problems involving linear equations, including those derived from formulas (ACMNA235)

Elaborations
  • representing word problems with simple linear equations and solving them to answer questions
General capabilities
  • Numeracy Numeracy
ScOT terms

Linear equations,  Substitution

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13 direct matches to ACMNA235 | 7 other related resources
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TIMES Module 36: Number and Algebra: formulas - teacher guide

  • TLF-IDM009037

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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Interactive

Isotopes and Atomic Mass

  • TLF-IDA005853

This interactive simulation explores isotopes and how the average atomic mass of an element changes given a change in the abundance of its isotopes. In a series of simulations students explore the stability of various isotopes and investigate how this relates to the proportions of isotopes in naturally occurring elements. ...

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Interactive

Build a Nucleus

  • TLF-IDA005851

This interactive simulation explores isotopes and nuclear decay. In a series of simulations students explore how the changing the number of neutrons or protons affects the atomic number and isotope; investigate and predict how the shell model depiction of an isotope based on the isotope symbol or name; and predict the resulting ...

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Investing

  • TLF-IDA005441

This lesson explores what investing is, different types of investments and their risks, how to invest safely and where to begin. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

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Understanding compound interest

  • TLF-IDA005439

This lesson explores compound interest and challenges students to consider why saving now can help them later. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

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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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Compound Interest - Calculate

  • TLF-IDA004268

This resources demonstrates simple and compound interest and includes an activity sheet for students with questions about the differences in calculations and cumulative interest over time.

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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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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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Capital Airways: Part 1

  • TLF-IDA005380

In this lesson students are introduced to the concept of a network through an airline route map. The task extends into a detailed mathematical modelling activity with students exploring in teams how to re-design the network map to improve the airline’s profitability. This lesson is in two parts and is followed by Capital ...

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Capital Airways: Part 2

  • TLF-IDA005379

This is the second lesson in the Capital Airways series and follows the prior lesson Capital Airways: Part 1. Students investigate a network through an airline route map. The task is a mathematical modelling activity whereby students collaborate to re-design the network map to improve the airline’s profitability.

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Mrs Sim's Dollars and Sense - Calculate

  • TLF-IDA004333

This alternate assessment task focuses on calculating gross and net wages before and after tax; operating and solving problems using simple and compound interest; and making valid comparisons between total accumulated costs and the initial (principal) amounts of money borrowed or invested.

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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: 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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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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Video

My Five Cents: Why borrowing can cost you more

  • TLF-IDM025250

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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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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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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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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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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