Mathematics / Year 9 / 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-IDM017943

This is a year 9 mathematics unit of work about making money. Intended to take about ten hours, the unit consists of six sets of student tasks supported by teacher notes. Tasks include investigating part-time work; surveying class members about the hours they work; using a spreadsheet; calculating earnings and interest; ...

• 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-IDS4689

In this animated presentation students are provided with three examples of mathematical modelling in real-world settings. Linear functions are used to model population growth, Hooke's Law and parcel shipping charges.

• 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-IDM012159

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

• TLF-IDM011459

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 ...

• 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-IDM008614

Matchsticks can be used to create patterns. How many matches does it take to create one triangle? What about two, three or four triangles? This activity is a kinaesthetic approach to the mathematical modelling of a simple linear function while providing meaning to the parameters (m and c) in a simple linear function: y = mx + c.