1. Fractions & Percentages
Week 3
Today you will need ……
Orange Books
Calculator
Maths Kit
Complete your tracking sheet to evaluate your skills before the lesson

2. What will you learn today
What will you learn today? (something you did not know yesterday) By the end of this session I will be able to…
Find a fraction of a number
Identify equivalent fractions
Write one number as a fraction of another
Find a percentage of a number
Calculate one number as a percentage of another
Convert between D, F, & P
Numerator, Denominator, Simplify, Expand, Percentage, convert, increase, decrease, difference
Key Words

3. 2 5 = Fractions Explained The numerator The proportion of the whole
The denominator the whole

4. Learn the skill – Finding a fraction of a number
Find of 50
50 ÷ 5 x 2 = 20
“Divide by bottom, times by the top”

5. Try the skill – Fraction of a number12
Find of 54 …………………
Find of 70 …………………
Find of 56 ……………………
Find of 81 ……………….
Find of 16 …………………… 28 48 36 10

6. Why is he laughing?

7. Learn the skill – equivalent fractions
4 16
2 8
1 4 = =

8. Try the skill – write these fraction in their most simple form
6 12 =
÷ 6
1 2
3 6 =
÷ 3
40 50 =
÷ 10
1 2
4 5
6 18 =
÷ 2
÷ 3
3 9 =
1 3

9. Learn the skill – One number as a fraction of another
“75 out of 85 students passed their maths exam”
75 85
The proportion in question
The whole amount
÷ 5
75 85
15 17 =
÷ 5

10. Percentages Explained0%
25%
50%
75%
100%
Nothing
Half The Amount
The Whole Amount 1%

11. “Divide by 100, times by the percentage”
Skills Demonstration
– Percentage of a number
Find 40% of 50
50 ÷ 100 x 40 = 20
“Divide by 100, times by the percentage”

12. – Percentage of a number
Skills Demonstration
– Percentage of a number
Find 15% of £62 …………………
Find 25% of 140m ………………
Find 72% of £50 …………………
Find 59% of £250 ……………….
Find 17.5% of £7.99 ………….
£9.30
35m
£36
£147.50
£1.40

13. Skills Demonstration – One number as a percentage of another
A student has attended 29 out of 36 possible maths lessons last year. What was their attendance percentage?
29 36
x 100 = 80.6%
Means to divide

14. – One number as a percentage of another
Skills Demonstration
– One number as a percentage of another
139 out of 140 ………………
67 out of 90 …………………
7 out of 25 ……………………
45 out of 75 …………………
28 out of 45 ……………………
99.2%
Round to 1 decimal place
74.4%
28%
60%
62.2%

15. Converting between decimals, percentage and fraction
÷ 100
X 100
Top ÷ bottom
Percentage
Fraction
% 100 (then simplify)
Top ÷ bottom x 100

16. Please don’t write on sheets
Independent practice
Choose which areas to develop depending on your own strengths and areas for development.
Diagnostic results green?
Aim higher and stretch your skills
Please don’t write on sheets

17. Reflection of the lesson
Now how do you know feel about todays topic
What did you learn new today?
What are your next steps?
How are you going to remember it?