Graph sketching

problem

Pitchfork

Age

16 to 18

Challenge level

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

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

A Close Match

Age

16 to 18

Challenge level

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

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

Guessing the Graph

Age

14 to 16

Challenge level

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

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

Integration Matcher

Age

16 to 18

Challenge level

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

Curve Match

Age

16 to 18

Challenge level

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

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

Guess the Function

Age

16 to 18

Challenge level

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