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FDP ordering, percentages

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

Jason Marrett

on 21 April 2013

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Transcript of FDP ordering, percentages

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?
Full transcript