Estimating and approximating

Are these estimates of physical quantities accurate?

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

Here's a chance to work with large numbers...

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Work in groups to try to create the best approximations to these physical quantities.

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Build up the concept of the Taylor series

Looking at small values of functions. Motivating the existence of the Taylor expansion.