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Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Reminder and Mixed Fractions Add & Subtract basic Fractions Multiplying Fractions.

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Presentation on theme: "Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Reminder and Mixed Fractions Add & Subtract basic Fractions Multiplying Fractions."— Presentation transcript:

1 Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. Reminder and Mixed Fractions Add & Subtract basic Fractions Multiplying Fractions Dividing Fractions Add & Sub Harder Fractions Level F

2 Level F Starter 5-May-15Compiled by Mr. Lafferty Maths Dept. X Level F

3 Mixed Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know what the terms fraction, top-heavy and mixed fraction are. 1.To understand the term Fraction and Mixed Fraction. 2.Convert between top-heavy and mixed fraction. 3.Solve problems involving fractions. Level F

4 5-May-15Compiled by Mr. Lafferty Maths Dept. Fraction Reminder A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR Level F

5 5-May-15Compiled by Mr. Lafferty Maths Dept. Fractions We can sometimes ‘simplify’ a fraction by dividing by the HCF of the numerator and denominator F15 1 and 15 3 and 5 F27 1 and 27 3 and 9 Level F

6 5-May-15Compiled by Mr. Lafferty Maths Dept. Fractions 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 Level F

7 5-May-15Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed means seven thirds Level F

8 5-May-15Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 7  3 remainder 1 Level F

9 5-May-15Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 17  5 remainder 2 Level F

10 5-May-15Compiled by Mr. Lafferty Maths Dept. Changing a mixed fraction to a top-heavy. WHOLE NUMBER  DENOMINATOR then add NUMERATOR 5  4  3 7  5  2 Mixed to Top Heavy  23 quarters  37 fifths Level F

11 5-May-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch31 (page 128) Mixed Fractions Level F

12 Level F Starter Questions 5-May-15Compiled by Mr. Lafferty Maths Dept. 5cm 7cm Level F

13 5-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know that to add and subtract fractions the denominators must be the same. 1.To understand how to add and subtract basic fractions. 2.To be able to do simple fraction calculations. Add / Sub Fractions Level F

14 5-May-15Compiled 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 Level F

15 5-May-15Compiled by Mr. Lafferty Maths Dept. Add Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Level F

16 5-May-15Compiled by Mr. Lafferty Maths Dept. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Level F

17 5-May-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch31 (page 131) Add / Sub Fractions Level F

18 Level F Starter Questions 5-May-15Compiled by Mr. Lafferty Maths Dept. Level F

19 Harder Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Apply ‘ kiss and smile’ method. 1.To understand how to add and subtract fractions with different denominators. 2.Convert top heavy fractions to mixed fractions. 3.Simplify fractions. Level F

20 Level F 5-May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions 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 We are going to use the kiss and smile method

21 May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 8 4 ÷2 Level F

22 May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify Level F

23 May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify ÷2 Level F

24 5-May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions How can we add /subtract mixed fractions that have different denominators When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Simple ! Level F

25 5-May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Level F

26 5-May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Level F

27 5-May-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Level F

28 5-May-15Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions Level F

29 5-May-15Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions Level F

30 5-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 9.1 & 9.2 Ch15 (page 360) Harder Fractions Level F

31 Level F Starter Questions 5-May-15Compiled by Mr. Lafferty Maths Dept. Level F

32 Multiplying Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the simply rules for multiplying basic and mixed fractions. 1.To show how to multiply basic and mixed fractions. 2.Calculate fractions. Level F

33 5-May-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 1 Example 2 Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Level F

34 5-May-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions 1.Make fractions top-heavy Multiplying Mixed Fractions 2. Multiply the numerators 3. Multiply the denominators Level F

35 5-May-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 1 Level F

36 5-May-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 2 Level F

37 5-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 10.1 & 10.2 Ch15 (page 363) Multiplying Fractions Level F

38 Level F Starter Questions 5-May-15Compiled by Mr. Lafferty Maths Dept. Level F

39 Dividing Fractions 5-May-15Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To show how to divide basic and mixed fractions. 1.To know the simply rules for dividing basic and mixed fractions. 2.Calculate fractions. Level F

40 5-May-15Compiled by Mr. Lafferty Maths Dept. Always = 1 Dividing Fractions It is almost impossible to divide fractions like by actually dividing. Instead we change it into a multiplication by: Level F

41 5-May-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions Easy rule to remember is: Example 1 Example 2 Instead of dividing by, multiply by Level F

42 5-May-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions For mixed fractions YOU MUST make them top-heavy first !! Example 1 Instead of dividing by, multiply by Level F

43 5-May-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions Example 2 Level F

44 5-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 11.1 Ch15 (page 364) Dividing Fractions Level F


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