Mathematics / Year 6 / Measurement and Geometry / Location and transformation

Curriculum content descriptions

Introduce the Cartesian coordinate system using all four quadrants (ACMMG143)

Elaborations
  • understanding that the Cartesian plane provides a graphical or visual way of describing location
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Cartesian coordinates

Interactive

Syllabus bites – Cartesian coordinate system

This Bite is an introduction to the history, terminology, components and use of the Cartesian coordinate system. After completing the resource, students can proceed to six related Syllabus bites modules focusing on transformations on the Cartesian plane.

Interactive

Cartesian planes

This resource is designed to support student learning in Stage 3 Mathematics. It provides an interactive introduction to the Cartesian plane, its components and the use of Cartesian coordinates.

Interactive

Simple coordinates game

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 ...

Online

reSolve: Location - My Place in Space

This series of two lessons explores locating points and calculating distances using the Cartesian plane. In the first lesson, students locate and describe points on the Cartesian plane using ordered pairs of coordinates. They then search for squares on a given plane and find the side lengths of the squares. In the second ...

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Visual representations help understand aspects of our world (chance and position) Multi-age 3–6 Year B – Unit 8

This 2-week unit unit develops the big idea that visual representations help us understand aspects of our world. Students are provided opportunities to: use directional language to interpret and locate positions on a grid map; predict and describe possible outcomes from chance experiments; use visualisation, language and ...

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Caring for country

In this set of learning activities, students explore how to restore native vegetation disturbed by natural events or human activity. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource sheets. The resource also provides an editable module ...

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Visual representations help to understand aspects of our world (chance and position): Multi-age 3–6 Year A – Unit 8

This 2-week unit develops the big idea that visual representations help us understand aspects of our world (chance and position).

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Spotlight On Survival: Animal Communities in an Arid Environment

This series of activities focus on animal survival in arid environments, where ecosystems are subjected to extremes in temperature and the availability of water. Students investigate the effects of patterns or rainfall and drought on the ecology and consider other challenges such as the impact of feral species or human ...

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Osprey position and location

In this lesson, students acquire data related to the migration of the osprey. Students describe location and position on a Cartesian plane using paired coordinates. They explore the way latitude and longitude is used to pinpoint a location on Earth. This lesson is the fourth in a series of six lessons that connect the cross-curriculum ...

Downloadable

How many in the queue?

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

Online

Position and location: Year 6 – planning tool

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.

Online

Number sequence: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Number sequence. Students use horizontal and vertical number lines to find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators above and below sea level. They explore integers in financial contexts, such as the ...

Video

What are pixels?

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 ...

Video

MathXplosion, Ep 33: On the grid

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.

Online

Introducing the Cartesian coordinate system

This is a website designed for both teachers and students that refers to the Cartesian coordinate system from the Australian Curriculum for year 6 students. It contains material on the Cartesian plane and includes plotting points and determining coordinates of points shown on a grid. There are pages for both teachers and ...

Online

Secondary mathematics: different representations

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 ...

Online

reSolve: Directed number

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...