Gradients

problem

Walls

Age

16 to 18

Challenge level

Plane 1 contains points A, B and C and plane 2 contains points A and B. Find all the points on plane 2 such that the two planes are perpendicular.
problem

Electric Kettle

Age

14 to 16

Challenge level

Explore the relationship between resistance and temperature
problem

Mediant Madness

Age

14 to 16

Challenge level

Kyle and his teacher disagree about his test score - who is right?
problem

Triangular Slope

Age

14 to 16

Challenge level

Can you find the gradients of the lines that form a triangle?
problem

Spot the Difference

Age

16 to 18

Challenge level

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

Towards Maclaurin

Age

16 to 18

Challenge level

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.
article
Muggles, Logo and Gradients

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.