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

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Solve simple quadratic equations using a range of strategies (ACMNA241)

Elaborations
  • using a variety of techniques to solve quadratic equations, including grouping, completing the square, the quadratic formula and choosing two integers with the required product and sum
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Quadratics,  Simplification (Factors)

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15 direct matches to ACMNA241 | 3 other related resources

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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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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reSolve: Real World Algebra: Quadratic Functions

  • TLF-IDM021855

This sequence of three lessons explores different representations of quadratic functions, with particular emphasis on turning points in quadratic graphs. Students use images of trajectories, inscribe their own curves using Geogebra and then further explore the algebraic representation of their curves. Each lesson is outlined ...

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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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Text

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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Text

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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reSolve: Pythagoras' Theorem - Bent bamboo

  • TLF-IDM021846

This lesson challenges students to use Pythagoras' Theorem to solve a problem from an ancient Chinese text. They make physical models of the problem and use this to construct a graph. They use algebra skills associated with binomial expansions and simplification of fractions to show that the general solution given in the ...

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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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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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