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21-Aug-14 Compiled by Mr. Lafferty Maths Dept. Fractions www.mathsrevision.com Simplifying Fractions Fractions of a quantity Finding (Simple) Percentages.

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Presentation on theme: "21-Aug-14 Compiled by Mr. Lafferty Maths Dept. Fractions www.mathsrevision.com Simplifying Fractions Fractions of a quantity Finding (Simple) Percentages."— Presentation transcript:

1 21-Aug-14 Compiled by Mr. Lafferty Maths Dept. Fractions Simplifying Fractions Fractions of a quantity Finding (Simple) Percentages More Simple Percentages Reminder of Mixed Fractions Add & Subtract Fractions Multiplying Fractions General

2 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions General

3 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Fractions Learning Intention Success Criteria 1.To know what the terms fraction. 1.To understand the term Fraction and be able to simplify fraction. 2.Be able to simply fractions. General

4 21-Aug-14Compiled by Mr. Lafferty Maths Dept. A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominatorFractions The denominator tells us the type of fraction we have The numerator tells us the how many we have General

5 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Write down the fraction that is shaded in light blue. Fractions General

6 21-Aug-14Compiled by Mr. Lafferty Maths Dept. It is possible to find a fraction equivalent to any fraction that you have by multiplying the numerator and the denominator by any number. Find a fraction equivalent to : x3 x3 x2 x2 Fractions General

7 21-Aug-14Compiled by Mr. Lafferty Maths Dept. We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷2 ÷2 ÷ 3 ÷3 Fractions General

8 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Ex 1 Ch11(page 126) Fractions General

9 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions 6cm 10cm General

10 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Fractions of a quantity Learning Intention Success Criteria 1.To know the 2 step for finding a fraction of a quantity. 1.To explain the 2 step process of finding a fraction of a quantity. 2.Be able to calculate the fraction of a quantity. General

11 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Do the calculations below. Fractions of a quantity of 120 Simply divide by the bottom number General

12 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Do the calculation below. Fractions of a quantity of 24 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2: General

13 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Do the calculation below. Fractions of a quantity of 360 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2: General

14 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Ex 2 Ch11 (page 126) Fractions of a quantity General

15 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions General

16 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Calculate basic simple percentages. 1.To understand how to calculate simple percentages without a calculator. 2.Show all working. Simple Percentages General

17 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Copy down and learn the following basic percentages Simple Percentages General

18 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Find 25% of £40 Percentages General

19 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Find 5% of £300 Percentages General

20 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Ex 3 Ch11 (page 128) Percentages General

21 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions Starter Questions General

22 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the basic percentages. 1.To explain some more basic percentages. 2.Calculate basic percentage without a calculator. Extended Percentages General

23 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Copy down and learn the following basic percentages Extended Percentages General

24 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Find 30% of £40 Extended Percentages General

25 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Q. Find 75% of £600 Extended Percentages General

26 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Ex 4 Ch11 (page 129) Extended Percentages General

27 Starter Questions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. General

28 21-Aug-14Compiled 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 General

29 21-Aug-14Compiled by Mr. Lafferty Maths Dept. A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominatorFractions The denominator tells us the type of fraction we have The numerator tells us the how many we have General

30 21-Aug-14Compiled 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 General

31 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed means seven thirds General

32 21-Aug-14Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 7  3 remainder 1 General

33 21-Aug-14Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 17  5 remainder 2 General

34 21-Aug-14Compiled 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 General

35 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed Examples General

36 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed Examples General

37 21-Aug-14Compiled 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 General

38 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Add Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part General

39 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part General

40 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Extension Booklet Ex 5E (page 46) Mixed Fractions General

41 Starter Questions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. 5cm 7cm General

42 Starter Questions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. General

43 Harder Fractions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Apply ‘ rules for adding and subtracting fractions. 1.To understand how to add and subtract fractions with different denominators. 2.Simplify fractions. General

44 MTH 3-07b MTH 3-07c MTH 4-07b 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Harder 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

45 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 2 and

46 Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 5 and

47 Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 4 and == 7 1

48 21-Aug-14Compiled 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 ! General

49 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b = = = LCM of 2 and 3 6

50 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b = = 3 = LCM of 8 and 3 24

51 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b = = = LCM of 4 and 6 12

52 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b = = 3 = LCM of 4 and = Adding a negative is the same as subtracting

53 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b = = 5 = LCM of 5 and = Adding a negative is the same as subtracting

54 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Extension Booklet Ex 6E (page 48) Multiplying Fractions General

55 Starter Questions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. General

56 Multiplying Fractions 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To know the simply rule for multiplying basic fractions. 1.To show how to multiply basic fractions. 2.Apply fraction rules correctly. General

57 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 1 Example 2 Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators MTH 3-07b MTH 3-07c MTH 4-07b

58 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 3 Example 4 Multiplying basic fractions General

59 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions 1.Make fractions top-heavy Multiplying Mixed Fractions 2. Multiply the numerators 3. Multiply the denominators MTH 3-07b MTH 3-07c MTH 4-07b

60 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example MTH 3-07b MTH 3-07c MTH 4-07b 1.Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators

61 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example MTH 3-07b MTH 3-07c MTH 4-07b 1.Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators

62 21-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Extension Booklet Ex 7E (page 50) Multiplying Fractions General


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