“Climbing the mountain to success” Globe Academy ... Year 7... · Globe Academy Home Learning...
Transcript of “Climbing the mountain to success” Globe Academy ... Year 7... · Globe Academy Home Learning...
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Globe Academy
Mathematics
Department
Home Learning
Booklet Name: _________________________
Subject: Mathematics
Class Group: ____________________
Teacher: _______________________
Develop a passion for learning. If you do, you will never cease
to grow.
Anthony J. D'Angelo
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 1: Equivalent Fractions
Date set: Deadline for completion:
Home Learning Record
After completing each Home Learning task please complete the record boxes
below.
Task Details:
Student signature/comment:
Deadline date:
Parent signature/comment:
Date completed:
Teacher signature/comment:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Simplifying the following fractions to find the lowest equivalent fraction:
1) 3 2) 4 3) 6 4) 8
6 8 9 12
5) 8 6) 7 7) 12 8) 15
20 21 30 25
1. I am equivalent to ½ The sum of my numerator and denominator is 15
What fraction am I?
2. I am equivalent to 25
The product of my numerator and denominator is 40
What fraction am I?
3) A man has £12,651 in his bank account. Round this amount to:
a. 1 significant figure
b. 2 significant figures
c. 3 significant figures
d. 4 significant figures
4) The length of a red blood cell is 0.00608mm. Round this length to:
a. 1 significant figure
b. 2 significant figures
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Find all the equivalent fractions in this grid and write them below (there
should 11 more):
e.g. ½ and 4/8
1) 5) 9)
2) 6) 10)
3) 7) 11)
4) 8)
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 2: Ordering and comparing fractions
Date set: Deadline for completion:
Home Learning Record
After completing each Home Learning task please complete the record boxes
below.
Task Details:
Student signature/comment:
Deadline date:
Parent signature/comment:
Date completed:
Teacher signature/comment:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Place the following fractions on this number line:
(look out for the negative numbers!)
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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1) Helen is taking out a short term loan
with 12% interest. She borrows
£45.35. To find how much she pays
back she uses a multiplier of 1.12.
How much money does she have to
pay back in total?
_______________
2) Calculate the product of:
a. 12.4 and 0.6
b. 0.7 and 0.41
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 3: Adding and subtracting fractions
Date set: Deadline for completion:
Home Learning Record
After completing each Home Learning task please complete the record boxes
below.
Task Details:
Student signature/comment:
Deadline date:
Parent signature/comment:
Date completed:
Teacher signature/comment:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Add these pairs of fractions Add these pairs of fractions
together: and mixed numbers together:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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10 is 2/5 of 25 (5/5 is 25, so 1/5 = 25 divided by 5)
Complete these facts (try to put the fractions in their simplest
form):
1) 8 is ½ of ____ 6) 9 is ¾ of ___
2) 11 is _____ of 22 7) ___ is 5/6 of 126
3) 6 is ____ of 9 8) 35 is 1 2/3 of ____
4) ____ is 1/3 of 24 9) 16 is ___ of 12
5) 4 is 1/5 of ___ 10) ___ is 2 3/4 of 40
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 4: Plans and elevations
Date set: Deadline for completion:
Home Learning Record After completing each Home Learning task please complete the record
boxes below.
Task Details:
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Deadline date:
Parent signature/comment:
Date completed:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 5: Multiplying and dividing fractions
Date set: Deadline for completion:
Home Learning Record After completing each Home Learning task please complete the record
boxes below.
Task Details:
Student signature/comment:
Deadline date:
Parent signature/comment:
Date completed:
Teacher signature/comment:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Multiplying Fractions
Remember, it's as simple as multiplying the numerators and denominators of the fractions together
separately e.g. 1
5 ×
2
3=
1×2
5×3=
2
15
1. 1
2×
1
3
2. 1
2 ×
1
2
3. 1
3×
1
4
4. 2
3 ×
3
4
5. 3
7×
4
5
Mini-crash course!
Improper (Top-heavy) fractions have a numerator that is larger than (or equal to!) the denominator e.g. 5
4
or 7
3. Multiplication with improper fractions works in exactly the same way as shown before.
Mixed Numbers are made up of a whole number part and a fractional part e.g 23
4 or 1
4
5. in order to
multiply mixed numbers, they need to be converted into improper fractions.
Example: 23
4 =
11
4 We have two whole lots of 4 which is
8
4 and 3 portions of 4 which is
3
4 . Add them
together and we get 11
4.
Try these:
1. 12
3× 1
1
2
2. 11
4× 2
1
2
3. 31
4× 2
1
3
4. 11
4× 2
1
5
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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These sets of questions involve mixed numbers and improper (top-heavy) fractions. You will need
to convert the mixed numbers into improper fractions to perform the calculations.
Dividing Fractions
Remember, it's as simple as flipping over the second fraction and performing a multiplication
e.g. 1
3 ÷
3
4=
1
3 ×
4
3 =
1×4
3×3 =
4
9
4) 3
5÷
6
10
5) 1
4÷
4
5
1. 1
4÷
1
3
2. 4
5÷
2
10
3. 1
2÷
2
4
1. 31
3÷ 2
1
2
2. 41
3÷ 4
1
4
3. 44
5÷ 2
7
10
4. 42
5÷ 4
3
4
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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Home Learning Task 6: Revision of fractions
Date set: Deadline for completion:
Home Learning Record
After completing each Home Learning task please complete the record boxes
below.
Task Details:
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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1) Greg and Peter bought a large pizza to share.
Greg ate 5/8 of the pizza.
What fraction of the pizza was left for Peter?
2) Ben had 24 marbles. He lost ¼ of his marbles on the first
day. On the second day he lost another ¼ of his marbles.
How many marbles did he lose altogether?
3) Mum has 2/3 of a bag of carrots left. She then uses
another 1/6 of the bag. What fraction of the bag is left?
4) Max has finished 3/18 of his bag of sweets. Mike gives
him an extra 1/6 of his bag. What fraction of a bag does
max now have?
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Globe Academy Home Learning booklet “Climbing the mountain to success”
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5) Arsenal have played 11/15ths of their matches so far this
season. By April they will have played 1/5th more of their
total matches. What fraction of their matches do they have
left to play?
6) You have 9/14ths of your pocket money left. You spend
2/7ths of the total amount. How much do you have left?
7) What are the properties of a trapezium?
8) Write one similarity and one difference between a
rhombus and a parallelogram.