Functions & Graphs - Stage 3

Cops and Robbers

Stage: 2 and 3 Challenge Level: Challenge Level:1

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

Reflecting Lines

Stage: 3 Challenge Level: Challenge Level:1

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Translating Lines

Stage: 3 Challenge Level: Challenge Level:1

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

How Steep Is the Slope?

Stage: 3 Challenge Level: Challenge Level:1

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Parallel Lines

Stage: 3 Challenge Level: Challenge Level:1

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Diamond Collector

Stage: 3 Challenge Level: Challenge Level:1

Collect as many diamonds as you can by drawing three straight lines.

How Far Does it Move?

Stage: 3 Challenge Level: Challenge Level:1

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Maths Filler

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Speeding Up, Slowing Down

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Route to Infinity

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you describe this route to infinity? Where will the arrows take you next?

Fill Me Up

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Coordinate Patterns

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Up and Across

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

Functions and Graphs Stage 3 - Short Problems

Stage: 3

A collection of short Stage 3 and 4 problems on straight line graphs.