Here are several equations from real life. Can you work out which measurements are possible from each equation?
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
Can you make a curve to match my friend's requirements?
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Which curve is which, and how would you plan a route to pass between them?
Consider these questions concerning inverting rational functions
When can a pdf and a cdf coincide?
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. . . .
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.
Plot the graph of x^y = y^x in the first quadrant and explain its properties.
Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.
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.