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**Compiled by Mr. Lafferty Maths Dept.**

Fractions Level F Reminder and Mixed Fractions Add & Subtract basic Fractions Add & Sub Harder Fractions Multiplying Fractions Dividing Fractions 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Level F Starter Level F X 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Mixed Fractions Level F Learning Intention Success Criteria To understand the term Fraction and Mixed Fraction. To know what the terms fraction, top-heavy and mixed fraction are. Convert between top-heavy and mixed fraction. Solve problems involving fractions. 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Fraction Reminder A Fraction consists of 2 parts.**

Level F A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Fractions We can sometimes ‘simplify’ a fraction by dividing by**

Level F We can sometimes ‘simplify’ a fraction by dividing by the HCF of the numerator and denominator F and 15 3 and 5 F and 27 3 and 9 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Fractions A fraction, like, where the numerator is bigger**

Level F A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number,like, consisting of a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Top Heavy to Mixed Level F means seven thirds 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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Top Heavy to Mixed Level F NUMERATOR DENOMINATOR can be written as 7 3 remainder 1 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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Top Heavy to Mixed Level F NUMERATOR DENOMINATOR can be written as 17 5 remainder 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Mixed to Top Heavy WHOLE NUMBER DENOMINATOR then add NUMERATOR**

Level F WHOLE NUMBER DENOMINATOR then add NUMERATOR Changing a mixed fraction to a top-heavy. 5 4 3 23 quarters 7 5 2 37 fifths 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Mixed Fractions Level F Now try Exercise 1 Ch31 (page 128) 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Level F Starter Questions**

5cm 7cm 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Add / Sub Fractions Level F Learning Intention Success Criteria To understand how to add and subtract basic fractions. To know that to add and subtract fractions the denominators must be the same. To be able to do simple fraction calculations. 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Add / Sub Fractions Level F You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 Example 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Add Fractions When dealing with mixed fractions**

Level F When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Subtract Fractions When dealing with mixed fractions**

Level F When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Add / Sub Fractions Level F Now try Exercise 2 Ch31 (page 131) 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Level F Starter Questions**

14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F Learning Intention Success Criteria To understand how to add and subtract fractions with different denominators. Apply ‘ kiss and smile’ method. Convert top heavy fractions to mixed fractions. Simplify fractions. 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Harder Fractions We are going to use the kiss and smile method**

Level F How can we add /subtract fractions that have different denominators Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 4 + 2 8 ÷2 ÷2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 25 - 6 30 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 20 + 18 24 ÷2 ÷2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Simple ! Harder Fractions**

Level F How can we add /subtract mixed fractions that have different denominators Simple ! When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F 3 + 4 6 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F 21 - 16 24 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F 18 + 20 24 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Most Difficult Fractions**

Level F 3 - 8 12 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Most Difficult Fractions**

Level F 3 - 10 15 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Harder Fractions Level F Now try Ex 9.1 & 9.2 Ch15 (page 360) 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Level F Starter Questions**

14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Learning Intention Success Criteria 1. To show how to multiply basic and mixed fractions. To know the simply rules for multiplying basic and mixed fractions. Calculate fractions. 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 Example 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Multiplying Mixed Fractions Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Example 1 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Example 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Multiplying Fractions**

Level F Now try Ex 10.1 & 10.2 Ch15 (page 363) 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Level F Starter Questions**

14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Dividing Fractions Level F Learning Intention Success Criteria 1. To show how to divide basic and mixed fractions. To know the simply rules for dividing basic and mixed fractions. Calculate fractions. 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Dividing Fractions Level F It is almost impossible to divide fractions like by actually dividing. Instead we change it into a multiplication by: Always = 1 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Dividing Fractions Level F Easy rule to remember is: Instead of dividing by , multiply by Example 1 Example 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Dividing Fractions For mixed fractions YOU MUST make them**

Level F For mixed fractions YOU MUST make them top-heavy first !! Instead of dividing by , multiply by Example 1 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Dividing Fractions Level F Example 2 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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**Compiled by Mr. Lafferty Maths Dept.**

Dividing Fractions Level F Now try Ex 11.1 Ch15 (page 364) 14-Apr-17 Compiled by Mr. Lafferty Maths Dept.

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