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Compiled by Mr. Lafferty Maths Dept.

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Presentation on theme: "Compiled by Mr. Lafferty Maths Dept."— Presentation transcript:

1 Compiled by Mr. Lafferty Maths Dept.
Fractions What is a Fraction Fractions of origin amount Equivalent Fractions Percentage (Fraction by another name) Conversion between F, D ,% Using Percentages Proper Fractions and mixed numbers Ratios 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

2 Level E Starter Questions
16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

3 Compiled by Mr. Lafferty Maths Dept.
Percentages Learning Intention Success Criteria We are learning what the term percentage means and how it is connected to fractions. To understand the term percentage. Understand connection between percentages, and fractions. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

4 Percentages 31 out of a 100 means 31 % means 7 % 7 out of a 100
It is common to express fractions using a denominator of a 100 means 31 % means 7 % 7 out of a 100 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

5 Percentages Q. Write down the following as a fraction and a decimal.
27% 15% 2% 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

6 Compiled by Mr. Lafferty Maths Dept.
Percentages Covert these percentages to fraction and simply. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

7 Compiled by Mr. Lafferty Maths Dept.
Percentages Covert these fractions to percentages 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

8 Compiled by Mr. Lafferty Maths Dept.
Percentages Sandra got 15 out of 20 in an maths exam. What percentage is this. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

9 Percentages Franchesca got 45 out of Sandra 60 maths
Franchesca has the best result. Percentages Franchesca got 45 out of Sandra 60 maths and Drew got 21 out of 30 in an English exam. Who got the best result. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

10 Compiled by Mr. Lafferty Maths Dept.
Percentages Now try Ex 1 Page 41 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

11 Level E Starter Questions
16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

12 Fractions Percentages Decimals
Learning Intention Success Criteria To understand how to convert between percentages, fractions and decimals. Learn rules for converting between percentages fractions and decimals. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

13 Fractions Percentages Decimals
Copy triangle and use it to convert between fraction decimals and percentages Decimal Fraction Common Fraction Percentage (P%) 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

14 Fractions Percentages Decimals
Now try Ex 6.1 Page 341 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

15 Level E Starter Questions
16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

16 Compiled by Mr. Lafferty Maths Dept.
Percentages Learning Intention Success Criteria 1. To explain some simple percentages. To know the fractions of basic simple percentages. Calculate simple percentage mentally. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

17 Compiled by Mr. Lafferty Maths Dept.
Percentages Copy down and learn the following basic percentages = one half = one tenth = half of 10% = one hundredth = half of 1 % 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

18 Compiled by Mr. Lafferty Maths Dept.
Percentages Q. Find 16% of £40 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

19 Percentages of means MULTIPLY Q. Find 17% of £450
Remember money 2 decimal places Calculator Keys 1 7 1 x 4 5 = 76.5 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

20 Percentages of means times Q. Find 4% of £70
Remember money 2 decimal places Calculator Keys 4 1 x 7 = 2.8 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

21 Compiled by Mr. Lafferty Maths Dept.
Percentages Now try Ex8.1 Page 345 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

22 Compiled by Mr. Lafferty Maths Dept.
Percentages Q. Find 17.5% of £1200 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

23 Compiled by Mr. Lafferty Maths Dept.
Percentages Now try Ex 8.2 Page 346 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

24 Level E Starter Questions
16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

25 Proper Fractions and Mixed Numbers
Learning Intention Success Criteria 1. To explain the terms proper fraction, mixed number and improper fraction and convert between them. To know the terms proper fraction, mixed number and improper fraction. Convert between improper fraction and mixed number. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

26 Proper Fractions and Mixed Numbers
How many halves are there in = = 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

27 Proper Fractions and Mixed Numbers
Is called a proper fraction. ( Numerator is less than denominator ) Is called a mixed fraction. ( whole number and a fraction ) Is called a improper fraction. ( Numerator bigger than denominator ) 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

28 Proper Fractions and Mixed Numbers
Converting mixed fractions to improper fractions 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

29 Proper Fractions and Mixed Numbers
Other way round improper fractions to mixed fractions 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

30 Proper Fractions and Mixed Numbers
Now try Ex 9.1 Ch15 page 348 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

31 Level E Starter Questions
16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

32 Proper Fractions and Mixed Numbers
Learning Intention Success Criteria 1. To explain how to convert between decimal fractions and mixed numbers. Convert between decimal fractions and mixed numbers. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

33 Proper Fractions and Mixed Numbers
Just convert fraction part to decimal Mixed number to decimal fraction 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

34 Proper Fractions and Mixed Numbers
Decimal fraction to mixed number 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

35 Proper Fractions and Mixed Numbers
Now try Ex 9.2 Ch15 page 349 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

36 Compiled by Mr. Lafferty Maths Dept.
Starter Questions Level E 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

37 Ratios www.mathsrevision.com What is a ratio ?
Level E What is a ratio ? Ratios can be used to compare different quantities Example : There are 2 triangles and 3 rectangles. The ratio of triangles to rectangles is said to be 2 : 3 Note: The ratio of rectangles to triangles is said to be 3 : 2 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

38 Ratios Fraction : Ratio : www.mathsrevision.com Simplifying a ratio ?
Level E Simplifying a ratio ? Simplifying a ratio is like simplifying fractions Fraction : Ratio : 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

39 Compiled by Mr. Lafferty Maths Dept.
Ratios Level E Simplifying a ratio ? Now try Ex 10.1 Page 351 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

40 Compiled by Mr. Lafferty Maths Dept.
Starter Questions Level E 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

41 Compiled by Mr. Lafferty Maths Dept.
Ratios Level E Ratio Calculations Learning Intention Success Criteria 1. To show how to do ratio calculations. Use tabulating method to work out ratios. 2. Show appropriate working. 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

42 Compiled by Mr. Lafferty Maths Dept.
Ratios Level E Ratio Calculations Example : The ratio of boys to girls is 4:5. If there are 16 boys, how many girls are there. boys girls 4 5 x 4 x 4 16 20 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

43 Compiled by Mr. Lafferty Maths Dept.
Ratios Level E Ratio Calculations Example : The ratio of cars to buses is 3:7. If there are 49 buses, how many cars are there. cars buses 3 7 x 7 x 7 21 49 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.

44 Compiled by Mr. Lafferty Maths Dept.
Ratios Level E Ratio Calculations Now try Ex 11.1 Page 352 16-Apr-17 Compiled by Mr. Lafferty Maths Dept.


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