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Fractions

Level F. Fractions. Reminder and Mixed Fractions. Add & Subtract basic Fractions. Add & Sub Harder Fractions. www.mathsrevision.com. Multiplying Fractions . Dividing Fractions . Level F. Level F Starter. X. www.mathsrevision.com. Level F. Mixed Fractions. Learning Intention.

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Fractions

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  1. Level F Fractions Reminder and Mixed Fractions Add & Subtract basic Fractions Add & Sub Harder Fractions www.mathsrevision.com Multiplying Fractions Dividing Fractions Compiled by Mr. Lafferty Maths Dept.

  2. Level F Level F Starter X www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

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

  5. Fractions Level F 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 Compiled by Mr. Lafferty Maths Dept.

  6. 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 Fractions Level F Compiled by Mr. Lafferty Maths Dept.

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

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

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

  10. Mixed to Top Heavy 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 Compiled by Mr. Lafferty Maths Dept.

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

  12. Level F Level F Starter Questions 5cm 7cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

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

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

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

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

  18. Level F Level F Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  20. We are going to use the kiss and smile method Harder Fractions 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 Compiled by Mr. Lafferty Maths Dept.

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

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

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

  24. 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 Compiled by Mr. Lafferty Maths Dept.

  25. Harder Fractions Level F 3 4 + 6 Compiled by Mr. Lafferty Maths Dept.

  26. Harder Fractions Level F 21 16 - 24 Compiled by Mr. Lafferty Maths Dept.

  27. Harder Fractions Level F 18 20 + 24 Compiled by Mr. Lafferty Maths Dept.

  28. Most Difficult Fractions Level F 3 8 - 12 Compiled by Mr. Lafferty Maths Dept.

  29. Most Difficult Fractions Level F 3 10 - 15 Compiled by Mr. Lafferty Maths Dept.

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

  31. Level F Level F Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  32. Level F Multiplying Fractions Learning Intention Success Criteria • To know the simply rules for multiplying basic and mixed fractions. 1. To show how to multiply basic and mixed fractions. • Calculate fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

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

  35. Multiplying Fractions Level F Example 1 Compiled by Mr. Lafferty Maths Dept.

  36. Multiplying Fractions Level F Example 2 Compiled by Mr. Lafferty Maths Dept.

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

  38. Level F Level F Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  39. Level F Dividing Fractions Learning Intention Success Criteria • To know the simply rules for dividing basic and mixed fractions. 1. To show how to divide basic and mixed fractions. • Calculate fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  40. 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 Compiled by Mr. Lafferty Maths Dept.

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

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

  43. Dividing Fractions Level F Example 2 Compiled by Mr. Lafferty Maths Dept.

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

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