Graph sketching

problem

Pitchfork

Age

16 to 18

Challenge level

2 out of 3

Plot the graph of x^y = y^x in the first quadrant and explain its properties.
problem

Maths Filler 2

Age

14 to 16

Challenge level

2 out of 3

Can you draw the height-time chart as this complicated vessel fills with water?
problem

A Close Match

Age

16 to 18

Challenge level

3 out of 3

Can you massage the parameters of these curves to make them match as closely as possible?
problem

Bio Graphs

Age

14 to 16

Challenge level

2 out of 3

What biological growth processes can you fit to these graphs?
problem

Guessing the Graph

Age

14 to 16

Challenge level

3 out of 3

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
problem

Curve Hunter

Age

14 to 18

Challenge level

1 out of 3

This problem challenges you to sketch curves with different properties.
problem

Integration Matcher

Age

16 to 18

Challenge level

1 out of 3

Can you match the charts of these functions to the charts of their integrals?
problem

Curve Match

Age

16 to 18

Challenge level

1 out of 3

Which curve is which, and how would you plan a route to pass between them?
problem

Whose Line Graph Is It Anyway?

Age

16 to 18

Challenge level

1 out of 3

Which line graph, equations and physical processes go together?
problem

Guess the Function

Age

16 to 18

Challenge level

1 out of 3

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.