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Listed under:  Mathematics  >  Geometry  >  Location (Geometry)  >  Coordinates (Geometry)  >  Cartesian coordinates
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

Patterns, rules and graphs

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 ...

Online

Mathematical modelling (Algebra): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Mathematical modelling. Students use algebraic rules, tables, graphs and digital tools to construct linear and quadratic models for a range of real-life situations, make predictions and solve related problems. They spend time identifying variables to formulate the models ...

Online

Graphs: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Graphs. Students work with points, straight lines and line segments on the Cartesian plane, and use the coordinates of points to apply the formulas for calculating the gradient, midpoint and length of a line segment (distance between two points). They use digital tools ...

Downloadable

How many in the queue?

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

Online

Graphs: Year 7 – planning tool

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.

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 ...

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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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 ...

Online

reSolve: Gradient and Tangent

This sequence of two lessons investigates gradient and angle by applying the tangent ratio to find the angles represented by a road sign or the angle of a street. In the first lesson, students research what a road grade is and determine the actual angle of a road given its grade. They then construct their own road sign ...

Online

reSolve: Rectilinear Polygons

In this sequence of three lessons, students use geometric reasoning to establish relationships between angles in polygons and go on to make generalisations using algebraic expressions. Students explore and enumerate right angles in a series of rectilinear polygons and generalise their findings. They then explore the number ...

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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Burning Down

This resource is a web page containing a challenging problem solving task that requires an understanding of rate and proportion. It can be solved in a number of ways for example graphically, using fractions or equations and all involve reasoning. A printable resource and solution is also available to support the task. This ...

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.

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Round and Round and Round

This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...

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Tuning and Ratio

This resource is a web page containing a challenging problem solving task that requires an understanding of ratios and logarithms. It explains how intervals such as an octave corresponds to a particular ratio of string lengths which produce the notes. Two types of tuning based on ratios; The Pythagorean Scale and Just Intonation ...

Online

reSolve: Real World Algebra: Linear Functions

This sequence of two lessons explores real world, algebraic, numeric and graphical representations of linear functions, focussing on the gradient of linear functions. Students use images of everyday objects and inscribe straight lines, then use Geogebra to explore the algebraic representation of their lines. Each lesson ...

Interactive

Desmos Graphing Calculator - Google Play app

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.

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.

Online

The laws of arithmetic and their use in algebra

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 ...