Getting deeper... Fractions, Decimals and Percentages Ordering Fractions Order these fractions from smallest to largest: Expressing Yourself... (numerically speaking) We have said that fractions, decimals and percentages are different ways of expressing numbers, they have different uses and purposes. Write down the 3 relationship profiles between these numbers 2 to 6

3 to 12

5 to 25

10 to 16

25 to 40

17 to 51

33 to 44

75 to 100 Fractions, Decimals and Percentages Yesterday: We spent most of our time simply manipulating numbers. Changing from one number 'profile' to another. Today we are going to be looking at a bit more of how these numbers work, and what they do. Objectives MUST: order fractions according to size

SHOULD: express one number as a percentage of another

COULD: start to discover more about percentage increase/decrease We only saw the 'tip of the iceberg' in terms of what they are. 1 2 6 3 7 9 6 3 7 8 14 10 6 5 1 3 3 2 4

8 16 2 4 8 8 12 1 4 2 2 3

3 6 4 3 4 No Calculator!!! Extension: Create a list of fractions for your neighbour to try.

(Be mean, but not too mean!) THINK: What effect does the numerator and denominator have on the size of the fraction?

How can you tell if a fraction is going to be bigger or smaller simply by looking at these numbers? Answers 1 2 2 4 3

3 4 3 6 4 2 5 3 4 1 6 3

8 16 8 12 2 8 4 1 3 7 2 6 9

6 8 14 3 7 10 One purpose is to express the relationships between numbers using these number 'profiles'. Relationships Just like these two animals share a relationship, so do numbers. How could I describe 5 in relation to 10? 5 is 50 % of 10 5 is 0.5 times 10 5 is one half of ten Fractions, decimals and percentages are profiles used to explain these relationships Extension: Once you have done these, switch the numbers around and do the same again.

What do you notice?

Are there any patterns? Example: 5 is 1/2 of ten. 5 is 50 % of ten.

5 is 0.5 x 10. 5 to 10: Starter How many different numbers are represented here? 50% 35% 25% 66.6% 37.5% 1

2 7

20 3

4 6

8 5

20 0.5 0.35 0.375 0.6 1

7 0.75 16 is 1 of 32

2 Starter 16

32 8

16 4

8 1

2 What are these numbers as fractions of the other? 3 to 9

2 to 8

13 to 26

7 to 21

16 to 20

10 to 15

12 to 15 6 to 4

10 to 8

14 to 10

24 to 8

What do you do if the decimal has lots of numbers?

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# FDP ordering, percentages

A lesson on ordering fractions, and finding numbers as fractions of another

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