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Listed under:  Linear equations
Listed under:  Linear equations

### Nautical Robots

How might you find out how much and where the Earth's oceans are warming? Watch the report by Ruben Meerman and discover how more than 3000 'nautical robots', known as argo floats, have been placed in the oceans to collect data on variations in temperature, pressure and salinity.

### Using linear equations to model population growth, Hooke's Law and parcel shipping charges

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.

### 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 ...

### 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.

### Mobile phone plans: find the best deal 3

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.

### Mobile phone plans: peak and off-peak

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.

### Mobile phone plans: one company

Compare monthly call plans quoted by a phone company. 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.

### Mobile phone plans: several companies

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.

### Graphing: line of best fit

Plot some data points on a graph. Estimate the position for a line of best fit. Use a graphing tool to check your estimate. Add more points to see how they affect the position of the line of best fit.

### Bridge builder: complex squares

Build bridges by adding regular sections (each made up of three 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 fourth in a series of five ...

### Bridge builder: complex pentagons

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 ...

### Biscuit factory: complex ratios

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 ...

### Exploring algebra

Calculate a disc jockey's profit or loss when he sells records. Use algebraic notation to represent variables. For example, T = 56 + 3n (where T is total expenses and n is the number of records produced). Calculate revenue and expenses, then work out the profit or loss.

### Exploring linear equations

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.

### Mobile phone plans: find the best deal 1

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

### Mobile phone plans: find the best deal 2

Help three customers compare monthly call costs quoted by three different phone companies: Orbit, Presto and Kool. 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.

### Differential calculus: linear graphs

Observe the linear distance–time graph of a rocket travelling at a constant velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller the rocket's average velocity is equivalent to its instantaneous velocity. Work out how the ...

### Differential calculus: linear and non-linear graphs

Observe the linear and non-linear distance–time graphs of a rocket travelling at both constant and changing velocities. Calculate the average and instantaneous velocities of the rocket over different time intervals. Notice what happens to the average and instantaneous velocities as the time intervals become smaller. Work ...

### TIMES Module 26: Number and Algebra: linear equations - teacher guide

This is a 16-page guide for teachers. It introduces the solution of linear equations and their uses.

### TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.