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Year 7 mathsw/c 8th June 2020
I hope you have all had an enjoyable week, enjoying the lovely weather we’ve had. How did you get on with your home
learning last week?
Work your way through these slides but remember to take breaks in between.
Pupil and parent learning sheetWeek beginning: 8th June 2020This week's work for year 7 maths is concentrating on fractions, decimals and percentages.By the end of this week, you should be able to: 1. Convert between decimals and percentages2. Convert between percentages and fractions3. Convert between fractions and decimals
Your work this week will include the following activities:
A choice of bronze, silver, gold or diamond questions on each topic.A codebreaker to bring together all of the work.An extension activity on converting between fractions and recurring decimals.
If you complete all your work to a high standard, you may also want to…Create a revision poster on the topics covered that will help others revise these topics. If you are particularly proud of your creation then e-mail it to [email protected]. Also keep it safe as Mrs Shirley wants to make a display of your fabulous ‘lock-down work’.
For extra help with maths learning, you may also want to look at the following: Videos 121 – 129 at https://corbettmaths.com/contents/
You DO NOT need to print any of this work off to complete.
Recap!To convert a percentage to a decimal:
Divide the percentage by 100
An example: change 45% to a decimal45 ÷ 100 = 0.45
So the answer is 0.45
To convert a decimal to a percentage:
Multiply the decimal by 100
An example: change 0.35 to a percentage0.35 × 100 = 35
So the answer is 35%
Bro
nze Task 1
Silv
er T
ask
1
Gold Task 1
A)
B)
Diamond Task 1
Make sure your answer is thorough and you use all your English skills to fully explain.
A)
Dia
mo
nd
Tas
k 1 B)
Make sure your answer is thorough and you use all your English skills to fully explain.
Silver Task 1
A)
B)
Bronze Task 1
ANSWERS!
A)
B)
Gold Task
ANSWERS!
Diamond Task
Recap!
To convert percentages into fractions:
• Remember percentages are always “out of 100”
• So you need to write the percentage as the numerator, with 100 as the denominator
An example: Write 45% as a fraction
• Remember, the percentage becomes the numerator on your fraction
• 100 will be the denominator
So the answer is 45
100
Which simplifies to 9
25
Recap!
To convert a fraction into a percentage:
• You first need to use your equivalent fraction knowledge to make equivalent fractions that have 100 as the denominator
• Once you have a fraction with 100 as the denominator, the numerator is the percentage
An example: change 7
25into a percentage
7
25=
14
50=
28
100
28
100has 100 as the denominator, so the numerator is the percentage
So the answer is 28%
× 2
× 2
× 2
× 2
A)B
ron
ze Task 2
B)
Silver Task 2A)
B)
Gold Task 2
A)
B)
Diam
on
d Task 2
A)
Diamond Task 2
B)
A)
B)
Bronze Task 2
Silver Task 2
A)
B)
ANSWERS!
AN
SWER
S!A)
B)G
old
Task 2
Dia
mo
nd
Tas
k 2
A)
Diamond Task 2 - Answers
B)
A)
Recap!To convert a decimal to a fraction:
• You need to use your knowledge of place value
• The digits in the decimal will become the numerator, which place column value these digits fall into will be the denominator
An example: Change 0.45 into a fraction
4
10+
5
100=
40
100+
5
100=
𝟒𝟓
𝟏𝟎𝟎
. ൗ𝟏 𝟏𝟎 ൗ𝟏 𝟏𝟎𝟎 ൗ𝟏 𝟏𝟎𝟎𝟎
0 . 4 5
Recap!To convert a fraction to a decimal:
• The line in a fraction means divide, so 2
5means 2 ÷ 5
• We then need to use short division to find the answer
An example: change 4
5to a decimal
• So we need to do 4 ÷ 5
• We also add a decimal point and some zeros after the 4 to help us create the decimal
• So the answer is 0.8
5 4 . 0 0 0
0 . 8 0 04
A)
B)
Silver Task 3A)B)
Bro
nze Task 3
Gold Task 3
B)
Diam
on
d Task 3
A)
A)
B)
B)D
iamo
nd
Task 3
A)
B)
Silv
er T
ask
Bro
nze Task
A)
B)
A)
B)
AD
iam
on
d T
ask
3
Go
ld Task 3
B)
Diamond Task 3
Can you have a go at this codebreaker?
0.3I
ANSWERS!
1) 3/8
2) 12/80
= 0.375
= 3/20 = 0.15
These are terminating decimals.
3 . 0 0 08
0 . 3 7 5
Can you do the division for example 2?
3 6 4
3) 1/9
4) 11/30
5) 1/7
= 0.11111111111111... = 0.1
= 0.14285714285714...= 0.142857
= 0.366666666666... = 0.36
1 . 0 0 09
0 . 1 1 11 1 1
11. 0 0 030
0 . 3 6 611 20 20
Can you do the division for example
5?
These are recurring decimals.
Let x= 0.7 so 10x = 7.7
.
. .
10x= 7.7777777777777777...x= 0.7777777777777777...
9x=
x= 79
7
How does it work? Lets change 0.7 into a fraction
Subtract
Congratulations- you have now completed your maths work for this week!
