Visualising and representing

problem

Whose Line Graph Is It Anyway?

Age

16 to 18

Challenge level

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

Coordinated Crystals

Age

16 to 18

Challenge level

Explore the lattice and vector structure of this crystal.
problem

Polygon Walk

Age

16 to 18

Challenge level

Go on a vector walk and determine which points on the walk are closest to the origin.
problem

Painting by Numbers

Age

16 to 18

Challenge level

How many different colours of paint would be needed to paint these pictures by numbers?
problem

Painting by Functions

Age

16 to 18

Challenge level

Use functions to create minimalist versions of works of art.
problem

Quick Sum

Age

16 to 18

Challenge level

Is this surd sum exactly 3?
problem

Calculus Analogies

Age

16 to 18

Challenge level

Consider these analogies for helping to understand key concepts in calculus.
problem

Speedo

Age

16 to 18

Challenge level

Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.
problem

Polar Bearings

Age

16 to 18

Challenge level

What on earth are polar coordinates, and why would you want to use them?
problem

Trig Reps

Age

16 to 18

Challenge level

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?