TickTockMaths

Tag: proportion

  • Proportion in Context

    Get the PowerPoint here

    As promised, here is a proportion in context lesson.

    Starts with just naming the type of proportion. I love the ‘buy-one-get-one-free’ example I came up with.

    I tend to teach direct, then indirect, then finish with these in context problems.

    I encourage solving both through algebraic methods and using something like MathsBot’s Ratio Boxes, which a really awesome. I used these as starters a few times.

    Most of ratio is now ‘complete’ as a module. If you click the menu up top, you’ll see that there’s a reasonably comprehensive set of resources, which I’ve reviewed and updated.

    As always, feedback and questions to my twitter @ticktockmaths.

    And if you’ve got a topic request, send it my way. I’m using my gained time to update and make as many resources as possible.

  • 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:

    1. Simple example
    2. Context change, numbers stay the same
    3. OK. Now double what we require. answer doubles
    4. Amount needed triples, answer triples. Also 6 x first one
    5. We’ve doubled the number of pens in the first one. essentially having the price…
    6. Now doubling the price
    7. Halving the price. Link between 5? Maybe 6 + 7 should be swapped around
    8. Less pens then initially. Answer will get smaller for first time
    9. Rounding introduced.
    10. 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.

    Worksheet is here.

    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.

    Comment etc.