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

• 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-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-IDM016323

An animated tutorial about solving simple linear equations, followed by an interactive quiz.

• 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-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-IDM010542

These illustrated information sheets revise the rules for vertical and horizontal lines and the meaning of m and c in the rule y = mx + c. Students find the rule for a given linear graph. Tables of values are created so that graphs can be plotted. This resource is one of a series of online resources from the BBC's Bitesize ...

• TLF-IDL1107

Help three customers compare monthly call costs quoted by three different phone companies: Dialo, Airplay and Jump. Use line graphs to work out the same company and standard rates 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-IDM011499

This is a video demonstration of solving a linear equation by algebraic means. In the commentary, the presenter carefully explains the step-by-step method used to solve this example, which includes use of the distributive law and collecting like terms to simplify the equation. Having found the solution, the presenter verifies ...

• TLF-IDM019620

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.

• 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-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 ...

• TLF-IDM008826

This is a 25-page guide for teachers. This module introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

• TLF-IDM009044

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

• TLF-IDM009217

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of patterns and sequences. Students: identify, describe and extend patterns; construct tables of values; plot graphs; and develop skills to describe algebraically the relationships ...