Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Which curve is which, and how would you plan a route to pass between them?
Can you match these equations to these graphs?
Plot the graph of x^y = y^x in the first quadrant and explain its
Make a functional window display which will both satisfy the manager and make sense to the shoppers
Consider these questions concerning inverting rational functions
Can you make a curve to match my friend's requirements?
When can a pdf and a cdf coincide?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Decipher a simple code based on the rule C=7P+17 (mod 26) where C is the code for the letter P from the alphabet. Rearrange the formula and use the inverse to decipher automatically.
Draw the graph of a continuous increasing function in the first
quadrant and horizontal and vertical lines through two points. The
areas in your sketch lead to a useful formula for finding
A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?
We only need 7 numbers for modulus (or clock) arithmetic mod 7
including working with fractions. Explore how to divide numbers and
write fractions in modulus arithemtic.
Crack this code which depends on taking pairs of letters and using
two simultaneous relations and modulus arithmetic to encode the
Place a red counter in the top left corner of a 4x4 array, which is
covered by 14 other smaller counters, leaving a gap in the bottom
right hand corner (HOME). What is the smallest number of moves. . . .