Graph sketching

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.
problem

Spot the Difference

Age

16 to 18

Challenge level

If you plot these graphs they may look the same, but are they?
problem

Brimful

Age

16 to 18

Challenge level

Can you find the volumes of the mathematical vessels?
problem

Polar Flower

Age

16 to 18

Challenge level

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
problem

Rational Request

Age

16 to 18

Challenge level

Can you make a curve to match my friend's requirements?
problem

Interpolating Polynomials

Age

16 to 18

Challenge level

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.