Plot the graph of x^y = y^x in the first quadrant and explain its
Which curve is which, and how would you plan a route to pass between them?
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
Can you make a curve to match my friend's requirements?
Can you match these equations to these graphs?
Make a functional window display which will both satisfy the manager and make sense to the shoppers
When can a pdf and a cdf coincide?
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Consider these questions concerning inverting rational functions
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.
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?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Crack this code which depends on taking pairs of letters and using
two simultaneous relations and modulus arithmetic to encode the
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.
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. . . .