Vary and Twist: Proportion
I’m going to call these Vary and Twist.
Section A is some variation practice. Here’s my thinking behind the variations:
- Simple example
- Context change, numbers stay the same
- OK. Now double what we require. answer doubles
- Amount needed triples, answer triples. Also 6 x first one
- We’ve doubled the number of pens in the first one. essentially having the price…
- Now doubling the price
- Halving the price. Link between 5? Maybe 6 + 7 should be swapped around
- Less pens then initially. Answer will get smaller for first time
- Rounding introduced.
- Don’t just quadruple your answer from 9! You’ll introduce a rounding error!
Sections B and C add a little extension, but they use the idea of spaced practice to make students think a little more than standard blocked practice.
Think I might be using this format for more exercises. I’ve done the table layout now. Took me ages.
I’ve found it’s a little limited, though. Tried to do a sheet with probability trees and it quickly became unmanageable with images.