Algebra and moderation
Here is a simple way to assess students' understanding of algebraic functions. Suppose you gave a test and you are about to return them the paper. Ask them this:
Let's say your marks for this paper is x, and you are giving a choice to change your makes by using a certain function. Which function will you choose? You are only given one choice!
- x+5
 - max(60, x+10)
 - 100-x
 - 10sqrt(x)
 - 20ln(x)
 
Of course you can extend this problem into a two variable function. Suppose paper 1 is x and paper 2 is y. Which one would you choose as your marks?
- (x+y)/2
 - sqrt(x^2+y^2)
 - sqrt(xy)
 - max(x , y)
 
