Mathematics / Year 8 / Number and Algebra / Linear and non-linear relationships

• TLF-IDL1110

Compare monthly call costs quoted by different phone companies. Use line graphs to work out the costs for talk time, text messages, photos and total costs. Recommend the best plan. This learning object is one in a series of six objects.

• TLF-IDL1108

Compare monthly call plans quoted by a phone company. Look at the effect of off-peak discounts. Use line graphs to work out the costs for talk time, text messages, photos and total costs. Recommend the best plan. This learning object is one in a series of six objects.

• TLF-IDL10090

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.

• TLF-IDL6553

Watch a video showing animals feeding at a zoo. See how linear equations are used to calculate daily feeding costs. For example, daily costs of meat for tigers is ($9.90 per kg x 36kg) + $10 delivery = $366.40. Adjust three variables on sliding scales to produce a given number.

• TLF-IDM020737

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 ...

• TLF-IDL1926

Build bridges by adding pentagonal sections (each made up of four beams plus a shared beam). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe the number pattern. This learning object is the last in a series of five ...

• TLF-IDM012158

This is a six-page HTML resource about solving problems concerning simple linear equations. It contains five questions, three of which are interactive, and one video. The resource discusses and explains the solution of simple linear equations to reinforce the students' understanding.

• TLF-IDL2372

Examine a pair of gears that drives a conveyor belt to an oven, including cases where the belt gear is larger than the driver. Notice that the number of rotations for each gear depends on the gear size (number of teeth). Explore the relationship between the number of teeth and the number of rotations. Build a table to compare ...

• TLF-IDM010537

These illustrated information sheets revise the methods of solving linear equations from simple ones with one unknown term to ones with the unknown on both sides. The solution of equations containing brackets or fractions is also considered. Full algebraic working is shown for sample equations. Students solve equations ...

• TLF-IDM025125

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...