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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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6 direct matches to ACMNA178 | 14 other related resources
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  • TLF-IDA003533

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

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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

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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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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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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Video

MathXplosion, Ep 33: On the grid

  • TLF-IDM025009

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Video

What are pixels?

  • TLF-IDM020591

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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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

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

Plotting Points in a Quadrant

  • TLF-IDM016187

An animated tutorial demonstrating how to locate and plot points on the Cartesian plane, given coordinates. An interactive quiz is included.

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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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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

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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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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Text

7N01A Integers - Ochre Education

  • TLF-IDA004132

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

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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 – flipping and sliding

  • TLF-IDM016436

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

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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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Interactive

Syllabus bites – frenzied flipping

  • TLF-IDM016513

This is the second in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers reflection of points.

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