Quadratic functions and graphs

problem

Consecutive Squares

Age

14 to 16

Challenge level

2 out of 3

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
problem

Geometric Parabola

Age

14 to 16

Challenge level

3 out of 3

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.
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

Which Quadratic?

Age

14 to 18

Challenge level

1 out of 3

This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
problem

'tis Whole

Age

14 to 18

Challenge level

2 out of 3

Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?
problem

Integral Inequality

Age

16 to 18

Challenge level

3 out of 3

An inequality involving integrals of squares of functions.
article
Spaces for Exploration

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.