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?

Functions and Graphs Stage 3 - Short Problems

Stage: 3

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

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.

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?

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?

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?

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.