1. Multiplicative Reasoning
Helpful Images

2. Representing Ratio
Stella and Tom share football stickers in the ratio of 1 to 3. Altogether they have 48 Stickers. How many does Tom have? 12
Stella 48
Flexibility of thinking
Tom 12 12 12
How many more stickers does Tom have than Stella

3. Representing Ratio 60 15 15 15 15 Stella Tom
Flexibility of thinking
Tom 15 15 15
How many more stickers does Tom have than Stella?

4. Representing Ratio
Stella and Tom have football stickers in the ratio of 2 to 3. Altogether they have 50 Stickers. If Stella gives half of her stickers to Tom. How many will Tom have?
Stella 50
Flexibility of thinking
Tall and Grey talk about children who fail and those who succeed – those who succeed have a flexibity in their thinking. Mathematics can be taught in a fixed way but also in a flexible way
Tom

5. GCSE higher paper 2012!
Ralph posts 40 letters, some of which are first class, and some are second.
He posts four times as many second class letters as first.
How many of each class of letter does he post?

6. What’s the relationship?8 5
Font size Font size 96
How much bigger is 8 than 5?
How many times bigger is 8 than 5?

7. Driving in France (legally)
Can I drive at 80mph in the dry?
Can I drive at 70mph in the wet?

8. Pictures of a bridge
x 1 5
x 8 5
x 5 8
x 1.6
x 0.625
x 8

9. Shopping at Asda
Is the green snowman 10% bigger than the orange snowman? How can you check?
How many times bigger is that?

10. How much better off?
I start with £35 and go into Sainsbury’s and spend £30 on shopping. So, I end up with £5 If, I had gone to Asda with my £35… …. I would have spent £27 on the shopping and ended up with £8 So, how much better off am I?

11. Multiplication everywhere
Conversion between units
Enlargement and similarity
Percentage problems
Maps and scale drawings
Equivalent fractions
Gradient
Recipes
Pie Charts
Trigonometry
Ratio problems