Algebraic Operations. Simplest Form. Adding / Sub Fractions. Multiple / Divide Fractions. www.mathsrevision.com. Subject of Formula. Harder Subject of Formula. 1. Simplify the following fractions : . Starter Questions. Algebraic Operations. Learning Intention. Success Criteria.
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Simplest Form
Adding / Sub Fractions
Multiple / Divide Fractions
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Subject of Formula
Harder Subject of Formula
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Algebraic Operations
Learning Intention
Success Criteria
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We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common.
Examples
HCF = Y
HCF = 3
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Examples numerator and denominator have a number or letter in common.
1
1
3
1
1
1
1
1
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Examples numerator and denominator have a number or letter in common.
1
1
1
1
Exercise 1 Page 186
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Simplify the following square roots:
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1. Simplify the following fractions : numerator and denominator have a number or letter in common.
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Algebraic Operations numerator and denominator have a number or letter in common.
Learning Intention
Success Criteria
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Harder Fractions numerator and denominator have a number or letter in common.
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.
Harder Fractions numerator and denominator have a number or letter in common.
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.
Adding Algebraic Fractions numerator and denominator have a number or letter in common.
Example 1a
Example 1b
3d
d
+
4
2
+
d2
8
÷d
÷2
4d
÷d
÷2
d2
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Adding Algebraic Fractions numerator and denominator have a number or letter in common.
Example 1a
Example 1b
15
8

3m
p

20
pm
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Simplify the following square roots:
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Adding / Subtracting numerator and denominator have a number or letter in common. Algebraic Fractions
Exercise 2 Page 200
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Calculate the following :
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Algebraic Operations numerator and denominator have a number or letter in common.
Multiplication and division
Learning Intention
Success Criteria
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Algebraic Fractions numerator and denominator have a number or letter in common.
Multiplication and division
Example 1b
Example 1a
1
1
1
a
2
2
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Algebraic Fractions numerator and denominator have a number or letter in common.
Multiplication and division
Example 2b
Example 2a
1
2
1
3
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Simplify the following square roots:
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Algebraic Fractions numerator and denominator have a number or letter in common.
Multiplication and division
Exercise 3 Page 200
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Calculate the following :
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Algebraic Operations numerator and denominator have a number or letter in common.
The Subject of a Formula
Learning Intention
Success Criteria
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Algebraic Fractions numerator and denominator have a number or letter in common.
The Subject of a Formula
The formula below is used to work out
the circumference of a circle
Since the formula works out C , then C is called
the subject of the formula.
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Algebraic Fractions numerator and denominator have a number or letter in common.
The Subject of a Formula
We can make D the subject of the formula
by using the rule
“ change side change side “
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Make y the subject of the formulae below :
x + 2y = 2
x + y = 8
y = 8 x
x = 4( y + 1 )
x = y  9
y = x + 9
Exercise 4 Page 202
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Calculate the following :
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Algebraic Operations numerator and denominator have a number or letter in common.
The Subject of a Formula
Learning Intention
Success Criteria
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Algebraic Fractions numerator and denominator have a number or letter in common.
The Subject of a Formula
Example : The force of the air against a train is given by the formula below.
Make the speed (S) the subject of the formula.
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Algebraic Fractions numerator and denominator have a number or letter in common.
The Subject of a Formula
Example : The thickness of a rope T cm to lift a weight W tonnes can be worked out by the formula below.
Make W the subject of the formula.
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Change the subject to x.
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Algebraic Fractions numerator and denominator have a number or letter in common.
The Subject of a Formula
Exercise 6 Page 204
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