Mathematics / Year 7 / 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

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178)

Elaborations
  • plotting points from a table of integer values and recognising simple patterns, such as points that lie on a straight line
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Cartesian coordinates,  Cartesian planes

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10 direct matches to ACMNA178 | 10 other related resources
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Online

Position and location: Year 6 – planning tool

  • TLF-IDA003197

This planning resource for Year 6 is for the topic of Position and location. Students locate and describe the position of objects using coordinates on the Cartesian plane in all four quadrants.

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Text

Representing Patterns (Year 7) - Calculate

  • TLF-IDA004259

Patterns can be represented in several ways and this unit will explore five different representations.

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Video

Algebraic equations: video and teaching guide

  • TLF-IDA003037

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

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Online

Patterns, rules and graphs

  • TLF-IDA003487

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Online

Graphs: Year 7 – planning tool

  • TLF-IDA003256

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

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Online

Finding the shortest path

  • TLF-IDA003424

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

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Downloadable

How many in the queue?

  • TLF-IDA003533

Students use visualising and movement activities to develop an understanding of the relationship between variables.

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Text

Linear Algebra Year 7 - Calculate

  • TLF-IDA004298

The focus of this activity is to find out what students know about linear equations and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Interactive

Simple coordinates game

  • TLF-IDM012009

This is an interactive resource about plotting and identifying points on the Cartesian plane. The resource can be used in one of two modes. In the View mode, the student can enter the coordinates, and the corresponding point is identified on the coordinate plane when the 'Plot' button is selected. In the Guess mode, the ...

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Text

Representing Patterns - Calculate

  • TLF-IDA004257

In this activity, students examine the representation of patterns, including as diagrams, charts and formulas.

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Interactive

Syllabus bites – speedy sliding

  • TLF-IDM021848

This is the first in a series of Syllabus bites related to transformations on the Cartesian plane aimed at Stage 4 Mathematics. Students find the coordinates of image points after translation. In doing so, they develop fluency in using coordinates and familiarity with the Cartesian plane, providing a basis for the investigations ...

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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. Free when reviewed on 12/5/2015.

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Online

Transformation: Year 7 – planning tool

  • TLF-IDA003275

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

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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

The Numberline

  • TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Text

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

Syllabus bites – turbo turning

  • TLF-IDM016297

The fourth in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers rotation of points.

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Interactive

Syllabus bites – mixing it up

  • TLF-IDM016282

The fifth in a series of Syllabus bites related to transformations on the Cartesian plane. This bite covers combinations (composition) of transformations.

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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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