N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add &...
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Transcript of N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add &...
![Page 1: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/1.jpg)
N5 Num
FractionsFractions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Multiplying Basic Fractions
Add & Subtract basic Fractions
Add & Sub Harder Fractions
Top-Heavy / Mixed Fractions
![Page 2: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/2.jpg)
N5 Num
Starter QuestionsStarter Questions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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1. Calculate the perimeter of
2. Simplify ?
3. Write 7% as a decimal
4. List the prime numbers between 30 and 4
1648
8cm
10cm
![Page 3: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/3.jpg)
N5 Num
Mixed FractionsMixed Fractions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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1.1. Understand what the Understand what the terms fraction, top-heavy terms fraction, top-heavy and mixed fraction are.and mixed fraction are.
1. We are learning to convert fractions between Top-Heavy and Mixed Fraction.
2.2. Convert between top-Convert between top-heavy and mixed fraction.heavy and mixed fraction.
3.3. Solve problems Solve problems involving fractions.involving fractions.
![Page 4: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/4.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
FractionsFractions
A fraction, like, where the numerator is bigger
than the denominator is called a ‘Top-Heavy’ fraction.
73
A number like, consisting of
a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction
35
4
![Page 5: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/5.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Top Heavy to MixedMixed
means seven thirds73
7 1 1 1 1 1 1 13 3 3 3 3 3 3 3
7 3 3 13 3 3 3
7 12
3 3
![Page 6: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/6.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
NUMERATOR DENOMINATOR
Top Heavy to Top Heavy to MixedMixed
can be written as 7 373
23 7
remainder 1
12
3
![Page 7: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/7.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
NUMERATOR DENOMINATOR
Top Heavy to Top Heavy to MixedMixed
can be written as 17 5175
35 17
remainder 2
23
5
![Page 8: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/8.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Changing a mixed fraction to a top-heavy.
WHOLE NUMBER DENOMINATORthen add NUMERATOR
5 4 3
7 5 2
Mixed to Top Mixed to Top HeavyHeavy
35
4
27
5
234
375
23 quarters
37 fifths
![Page 9: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/9.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try N5 Lifeskills
Ex 1Ch4 (page 38)
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FractionsFractions
![Page 10: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/10.jpg)
N5 Num
Starter QuestionsStarter Questions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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2. Simplify ?
3. Write 2% as a decimal
4. List the prime numbers between 20 and 30
5. Calculate
1284
7 5+2 2
5cm
7cm
![Page 11: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/11.jpg)
N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand that to add Understand that to add and subtract fractions and subtract fractions the denominators must the denominators must be the same.be the same.
1. We are learning how toadd and subtract basic fractions.
2.2. To be able to do simple To be able to do simple fraction calculations.fraction calculations.
Add / Sub Fractions
![Page 12: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/12.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
You can only add or subtract fractions if:
DENOMINATORS ARE THE SAME NUMBER
Example 1 Example 2
3 27 7
7 18 8
57
68
34
![Page 13: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/13.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Add Fractions
When dealing with mixed fractions deal with ‘whole’ part first then the fraction part
3 42 1
5 5
3 42 1
5 5
73
5
24
5
![Page 14: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/14.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Subtract Fractions
When dealing with mixed fractions deal with ‘whole’ part first then the fraction part
5 1
7 46 6
5 1
7 4 6 6
43
6
23
3
![Page 15: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/15.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try N5 Lifeskills
Ex 2Ch4 (page 41)
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FractionsFractions
![Page 16: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/16.jpg)
N5 Num
Starter QuestionsStarter Questions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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1
3 (4 -3 ) - 12
1 132 2
a a b ab
1. Calculate
2. Simplify
![Page 17: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/17.jpg)
N5 Num
Harder FractionsHarder Fractions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand and apply rules Understand and apply rules for adding and subtracting for adding and subtracting fractions.fractions.
1. We are learning how to add and subtract fractions with different denominators. 2.2. Convert top heavy Convert top heavy
fractions to mixed fractions to mixed fractions.fractions.
![Page 18: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/18.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Harder FractionsHarder Fractions
How can we add or subtract fractions that have different denominators
Step 1 : Find the LCM for the denominators
Step 2 : Convert to equivalent fractions
Step 3 : Add or Subtract the numerator and simplify
Before we can add or subtract they MUST
have the same denominator
![Page 19: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/19.jpg)
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N5 Num
1 12 4
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Harder FractionsHarder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent Fractions
Step 3 : Add/Subtract the numerator
and simplify
LCM of 2 and 4
4
4 4+2 1
43
![Page 20: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/20.jpg)
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N5 Num
1225
5 26 5
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Harder FractionsHarder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent Fractions
Step 3 : Add/Subtract the numerator
and simplify
LCM of 5 and 6
30
30 30-
1330
![Page 21: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/21.jpg)
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N5 Num
910
5 36 4
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Harder FractionsHarder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent Fractions
Step 3 : Add/Subtract the numerator
and simplify
LCM of 4 and 6
12
12 12+
1912
= =7
121
112 19 R7
![Page 22: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/22.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try N5 Lifeskills
Ex 3Ch4 (page 42)
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FractionsFractions
![Page 23: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/23.jpg)
N5 Num
Starter QuestionsStarter Questions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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24 , 3 2
5
3 14 3
(2 )
56
x y and z z z xy
1. Calculate
2. I f . Find
3. Calculate 60% of £360
4. Make the following top- heavy
![Page 24: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/24.jpg)
N5 Num
Multiplying Multiplying FractionsFractions
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Understand the simply Understand the simply rules for multiplying rules for multiplying basic and mixed basic and mixed fractions.fractions.
1. We are learning how to multiply basic and mixed fractions.
2.2. Apply rules correctly.Apply rules correctly.
![Page 25: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/25.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Multiplying Multiplying FractionsFractions
Example 1 Example 2
Multiply basic fractions
3 34 5
9
20
4 55 6
2030
23
1. Multiply the numerators
2. Multiply the denominators
MTH 3-07bMTH 3-07cMTH 4-07b
![Page 26: N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub.](https://reader035.fdocuments.net/reader035/viewer/2022070413/5697bfbb1a28abf838ca0f4e/html5/thumbnails/26.jpg)
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N5 Num
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try N5 Lifeskills
Ex 4Ch4 (page 42)
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FractionsFractionsHave you
updated your Learning Log ?
Are you on Target ?I can ?