Fractions

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Fractions
The Meaning of a Fraction
Fractions of origin amount
Equivalent Fractions
Percentage (Fraction by another name)
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Conversion between F, D ,
Using Percentages
Proper Fractions and mixed numbers
Ratios
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Level E Starter Questions
X
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Fractions
Learning Intention
Success Criteria
1. To know the NUMERATOR is the top number
1. To understand the term Fraction.
2. To know the DENOMINATOR is the bottom number
2. To understand that different fractions can
have the same value
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3. To be able to work out a fraction of a
quantity.
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Fractions
A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
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Fractions
Write down the fraction that is shaded in light
blue.
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Fractions
Q. What fraction are the following of a 1
(a) 50p (b) 25p (c) 10p (d) 75p
Q. State what the unit of measurement is
a millimetre
a month
a minute
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Fractions
We can write fractions as decimals by dividing
the top by the bottom.
example
Exercise 2.1 and Exercise 2.2 Page 331 and Page 32
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Level E Starter Questions
5cm
7cm
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Fractions of a quantity
Learning Intention
Success Criteria

• To know the 2 step for finding a fraction of a
  quantity.

• To explain the 2 step process of finding a
  fraction of a quantity.

• Be able to calculate the fraction of a quantity.

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Fractions of a quantity
of means x in mathematics !
means
Simply divide by the denominator
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Fractions of a quantity
Q. Calculate
means
Simply divide by the denominator Then multiply
the answer by numerator
Step 1
Step 2
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Fractions of a quantity
Q. Do the calculation below.
means
Simply divide by the denominator Then multiply
the answer by numerator
Step 1
Step 2
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Fractions of a quantity
Ex 3.1 and 3.2 Page 333
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Level E Starter Questions
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Fractions
Learning Intention
Success Criteria
1. To know the NUMERATOR is the top number
1. To understand the term Fraction.
2. To know the DENOMINATOR is the bottom number
2. To understand that different fractions can
have the same value
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3. To be able to simplify fractions.
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Fractions
Write down the fraction that is shaded in light
blue.
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Fractions
Q. Calculate the following
All the same value ! Equivalent fractions
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Fractions
Equivalent Fractions multiply the numerator and
the denominator by the same number.
Find a equivalent fraction to
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Fractions
We can sometimes simplify a fraction by finding
a number that the numerator and denominator have
in common.
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Fractions
Exercise 4.1 Page 335
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Level E Starter Questions
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Percentages
Learning Intention
Success Criteria

• To understand the term percentage.

• To explain what the term percentage means and how
  it is connected to fractions.

• Understand connection between percentages, and
  fractions.

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31 out of a 100
Percentages
It is common to express fractions using a
denominator of a 100
means 31
means 7
7 out of a 100
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Percentages
Q. Write down the following as a fraction and a
decimal.
27
15
2
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Percentages
Q. Write down the following fractions as
equivalent fractions out of a 100 and the
percentages.
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Percentages
Now try Ex 5.1 Page 340
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Level E Starter Questions
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Fractions Percentages Decimals
Learning Intention
Success Criteria

• Learn rules for converting between percentages
  fractions and decimals.

• To understand how to convert between percentages,
  fractions and decimals.

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Fractions Percentages Decimals
Copy triangle and use it to convert between
fraction decimals and percentages
Decimal Fraction
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Common Fraction
Percentage (P)
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Fractions Percentages Decimals
Q. Change the fractions to decimals
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Fractions Percentages Decimals
Q. Change the decimals to percentages
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Fractions Percentages Decimals
Q. Change the percentages to fractions
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Fractions Percentages Decimals
Q. Change the percentages to decimals
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Fractions Percentages Decimals
Now try Ex 6.1 Page 341
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Level E Starter Questions
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Percentages
Learning Intention
Success Criteria

• To know the fractions of basic simple percentages.

1. To explain some simple percentages.

• Calculate simple percentage mentally.

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Percentages
Copy down and learn the following basic
percentages
one half
one tenth
half of 10
one hundredth
half of 1
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Percentages
Q. Find 16 of 40
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of means MULTIPLY
Percentages
Q. Find 17 of 450
Remember money 2 decimal places
Calculator Keys
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of means times
Percentages
Q. Find 4 of 70
Remember money 2 decimal places
Calculator Keys
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Percentages
Now try Ex8.1 Page 345
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Percentages
Q. Find 17.5 of 1200
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Percentages
Now try Ex 8.2 Page 346
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Level E Starter Questions
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Proper Fractions and Mixed Numbers
Learning Intention
Success Criteria

• To know the terms proper fraction, mixed number
  and improper fraction.

1. To explain the terms proper fraction, mixed
number and improper fraction and convert between
them.

• Convert between improper fraction and mixed
  number.

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Proper Fractions and Mixed Numbers
How many halves are there in


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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 )
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Proper Fractions and Mixed Numbers
Converting mixed fractions to improper fractions
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Proper Fractions and Mixed Numbers
Other way round improper fractions to mixed
fractions
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Proper Fractions and Mixed Numbers
Now try Ex 9.1 Ch15 page 348
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Level E Starter Questions
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Proper Fractions and Mixed Numbers
Learning Intention
Success Criteria

• Convert between decimal fractions and mixed
  numbers.

1. To explain how to convert between decimal
fractions and mixed numbers.
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Proper Fractions and Mixed Numbers
Just convert fraction part to decimal
Mixed number to decimal fraction
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Proper Fractions and Mixed Numbers
Decimal fraction to mixed number
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Proper Fractions and Mixed Numbers
Now try Ex 9.2 Ch15 page 349
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Starter Questions
Level E
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Ratios
What is a ratio ?
Level E
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
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Note The ratio of rectangles to triangles is
said to be 3 2
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Ratios
Simplifying a ratio ?
Level E
Simplifying a ratio is like simplifying fractions
Fraction
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Ratio
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Ratios
Simplifying a ratio ?
Level E
Now try Ex 10.1 Page 351
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Starter Questions
Level E
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Ratios
Ratio Calculations
Level E
Learning Intention
Success Criteria

• Use tabulating method to work out ratios.

1. To show how to do ratio calculations.
2. Show appropriate working.
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Ratios
Ratio Calculations
Level E
Example The ratio of boys to girls is 45.
If there are 16 boys, how many girls are
there.
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4
5
x 4
x 4
16
20
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Ratios
Ratio Calculations
Level E
Example The ratio of cars to buses is 37.
If there are 49 buses, how many cars are
there.
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3
7
x 7
x 7
21
49
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Ratios
Ratio Calculations
Level E
Now try Ex 11.1 Page 352
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