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Listed under:  Mathematics  >  Geometry  >  Lines
Teacher resource

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 ...

Teacher resource

Using 'Cities taking shape' - Teacher idea

This Teacher idea includes comments following the teaching of R11361 'Cities taking shape - unit of work' to a years 4-5 class. The unit promotes students' knowledge of 2D and 3D shapes, and the relationship between them. It offers interactive and hands-on tasks to develop, consolidate and extend students' understandings ...

Interactive resource

Exploring relationships of angles

Explore angles formed by a transversal line intersecting parallel lines. Look at illustrations showing pairs of angles: vertically opposite, corresponding and alternate angles. Name pairs of angles to score points and help a monkey drive to the supermarket to buy food.

Interactive resource

EagleCat: linear graph

Explore the graphs of linear equations in the form y = mx + c. Observe changes to the gradient and y-intercept under various transformations. Alternately, change the equation and observe changes in the y-intercept or change the y-intercept and see how the equation changes.

Teacher resource

TIMES Module 29: Number and Algebra: introduction to coordinate geometry - teacher guide

This is a 22-page guide for teachers. This module introduces coordinate geometry. The introduction includes finding the distance between two points, finding the coordinates of the midpoint between two points, determining the gradient of a line and determining the equation of a line.

Interactive Resource

Linear equations and inequalities

This resource is a collection of screen displays of questions relating to linear equations and inequations. Graphing tasks involve determining the coordinates of two points on the linear function. Other tasks are presented as multiple-choice questions and involve finding slopes of lines, calculating intercepts with the ...

Teacher resource

Coordinate geometry

This is a website designed for both teachers and students that addresses coordinate geometry from the Australian Curriculum for year 9 students. It contains material that shows the connection between algebra and geometry through graphs of lines and curves. There are pages for both teachers and students. The student pages ...

Teacher resource

Introduction to differential calculus

This is a teacher resource for an introduction to differential calculus, consisting of a website and a PDF with identical content. It contains an introduction to differentiation. It contains a discussion of the properties of the derivative of a given function and introduces and proves the chain rule, product rule and quotient ...

Interactive Resource

Numeracy wrap: Race across transversals

Interactive activities that guide students to explore angles in parallel lines.

Teacher resource

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 ...


How to construct parallel lines

This animated presentation includes three different techniques for the geometrical construction of parallel lines. The presentation, with optional audio commentary, provides a step-by-step set of instructions involving rulers, set squares and compasses.


Introduction to slope

In this animated presentation students are introduced to the mathematical concept of slope (or gradient) of a straight line. The mathematical definition of slope is explained in terms of, and derived from, two practical contexts.

Teacher resource

HOTmaths: exploring kites: solution sheet

This resource provides the solutions for the tasks in the learning object 'HOTmaths: exploring kites'.


Glass pyramid - mathematics activities

This is a photograph of a skylight on Parliament House in Canberra. The skylight is in the shape of a square-based pyramid. It suggests investigations involving counting, sequencing, surface area, volume and maxima and minima, as well as connecting pyramids with their historical and cultural place. Determining ways to estimate ...

Interactive resource

Constant acceleration

Learn to use your knowledge of graphs and calculus to analyse the way things move. Follow the derivation of equations to describe the position, velocity and acceleration of a moving object. Deal conceptually with both positive and negative accelerations. This resource consists of a video in three sections with animations ...


Inclines - mathematics activities

This photograph of a road sign suggests investigations of the different indicators of slope used in our environment. It may lead to explorations of trigonometric relationships in relation to gradient. Teachers are encouraged to scan all the ideas suggested here as relevant to the various year level groupings, as there is ...


Marie Curie in her laboratory, 1921

This is a black-and-white photograph of the scientist Marie Curie, taken in 1921 in her laboratory at the Institut du Radium (Radium Institute) in Paris. Curie is looking at a small round-bottomed flask that she is holding in one hand. In the other hand she is holding a larger round-bottomed flask fitted with a stopper ...

Interactive resource

Differential calculus: power functions

Observe the non-linear graphs of various power functions (such as f(x) = x², or f(x) = x³) and select the expressions for finding the gradient of the secant between small changes in x represented by Δx. Tabulate the values of f'(x) and plot the derivative of each function. Determine the pattern between the graphs for each ...

Interactive resource

Differential calculus: cubic and quartic functions

Observe the non-linear time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formulas: s(t) = t³ – 2 and s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results ...

Assessment resource

Triathlon: assessment

Test your understanding of distance–time graphs. For example, look closely at graphs of a triathlete's performance (distance against time) for the swimming, running and cycling legs of a triathlon. Interpret the graphs to answer questions about each of the race legs and the overall performance of that triathlete. Compare ...