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Writing a ratio in the form 1:n

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by

Mr Mattock

on 17 June 2015

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Transcript of Writing a ratio in the form 1:n

Writing a ratio in the form 1:n
Starter
Writing in the form 1:n
L.O. - Write a ratio in the form 1:n or n:1 and understand what this shows. (Level 5/6)
What is the ratio of the unshaded to shaded parts?

How many times bigger than the unshaded area is the shaded area?
What about with this
shape?
1:2
2:3
3:5
Writing in the form 1:n
1:2
2:3 = 1:1.5
3:5 = 1:
5
3
(=1:1 )
2
3
Writing in the form n:1
1:2
2:3
3:5
Writing in the form 1:n
1:2 = :1
2:3 = :1
3:5 = :1
3
5
2
3
1
2
Example
Write these in the form
(a) 1:n and (b) n:1
4:5 3:7

2:5 5:12

The shaded area is twice the size of the unshaded.
The shaded area is 1 and a half times the size of the unshaded.
The shaded area is 1 and two thirds times the unshaded.
The unshaded area is half the size of the shaded area.
The unshaded area is two thirds the size of the shaded area.
The unshaded area is three fifths the size of the shaded area.
Write down what both forms mean.
Main Activity
Draw the bar model showing the ratio 4:7.
Explain using diagrams and calculations how this can be written in the form 1:n and n:1.

Write these ratios in the form 1:n and n:1. Write a sentence explaining what each form means.
(a) 2:9 (b) 4:7 (c) 10:3

Find as many ratios that can be written in these forms as possible. Try to find at least 3 for each.

(a) 1:3 (b) 1:1 (=1: ) (c) 2 :1 (= :1)
1
4
5
4
1
3
7
3
Main Activity answers - Red
4:7
4:7 = 1:
7
4
(=1:1 OR 1:1.75)
3
4
4:7 = :1
4
7
Main Activity Answers - Amber
2:9 = 1:4 = : 1


4:7 = 1: (=1:1 OR 1:1.75) = :1


10:3 = 1: (OR 1:0.3) = :1 (=3 :1)
7
4
3
4
4
7
1
2
2
9
3
10
10
3
1
3
Main Activity Answers - Green
1:3 = 2:6 = 3:9 = 4:12 = 5:15 = 6:18 ...

1:1 =4:5 = 8:10 = 12:15 = 2:2 =

3:3 ...

2 :1 = 7:3 = 14:6 = 21:9 = 4 :2 ...
1
4
1
2
3
4
1
3
2
3
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Full transcript