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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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Algebraic operations l.jpg

Algebraic Operations

Simplest Form

Adding / Sub Fractions

Multiple / Divide Fractions

www.mathsrevision.com

Subject of Formula

Harder Subject of Formula

www.mathsrevision.com


Starter questions l.jpg

1. Simplify the following fractions :

Starter Questions

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Slide3 l.jpg

Algebraic Operations

Learning Intention

Success Criteria

  • To explain how to simplify algebraic fractions.

  • Understand term

  • Highest Common Factor.

  • 2. Simplify algebraic fractions by identifying HCF.

www.mathsrevision.com

www.mathsrevision.com


Fraction in simplest form l.jpg

We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common.

Fraction in Simplest form

Examples

HCF = Y

HCF = 3

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Fraction in simplest form5 l.jpg

Examples numerator and denominator have a number or letter in common.

Fraction in Simplest form

1

1

3

1

1

1

1

1

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Fraction in simplest form6 l.jpg

Examples numerator and denominator have a number or letter in common.

Fraction in Simplest form

1

1

1

1

Exercise 1 Page 186

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What goes in the box l.jpg
What Goes In The Box ? numerator and denominator have a number or letter in common.

Simplify the following square roots:

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Starter questions8 l.jpg

1. Simplify the following fractions : numerator and denominator have a number or letter in common.

Starter Questions

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Algebraic Operations numerator and denominator have a number or letter in common.

Learning Intention

Success Criteria

  • To explain how to add and subtract algebraic fractions.

  • Know how to add and sub simple fractions

  • 2. Apply same knowledge to add and sub algebraic fractions.

www.mathsrevision.com

www.mathsrevision.com


Slide10 l.jpg

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.


Slide11 l.jpg

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.


Slide12 l.jpg

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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Slide13 l.jpg

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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What goes in the box14 l.jpg
What Goes In The Box ? numerator and denominator have a number or letter in common.

Simplify the following square roots:

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Slide15 l.jpg

Adding / Subtracting numerator and denominator have a number or letter in common. Algebraic Fractions

Exercise 2 Page 200

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Starter questions16 l.jpg

Starter Questions numerator and denominator have a number or letter in common.

Calculate the following :

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Slide17 l.jpg

Algebraic Operations numerator and denominator have a number or letter in common.

Multiplication and division

Learning Intention

Success Criteria

  • To explain how to multiply and divide by algebraic fractions.

  • Know rules for multiplication and division of simple fractions.

  • 2. Apply knowledge to algebraic fractions.

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www.mathsrevision.com


Slide18 l.jpg

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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Slide19 l.jpg

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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What goes in the box20 l.jpg
What Goes In The Box ? numerator and denominator have a number or letter in common.

Simplify the following square roots:

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Slide21 l.jpg

Algebraic Fractions numerator and denominator have a number or letter in common.

Multiplication and division

Exercise 3 Page 200

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Starter questions22 l.jpg

Starter Questions numerator and denominator have a number or letter in common.

Calculate the following :

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Slide23 l.jpg

Algebraic Operations numerator and denominator have a number or letter in common.

The Subject of a Formula

Learning Intention

Success Criteria

  • To explain how to change the subject of a formula using

  • “change side change sign”

  • method.

  • Know change sign change sign for solving equations.

  • 2. Apply knowledge to change subject of a formula.

www.mathsrevision.com

www.mathsrevision.com


Slide24 l.jpg

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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Slide25 l.jpg

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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What goes in the box26 l.jpg
What Goes In The Box ? numerator and denominator have a number or letter in common.

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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Starter questions27 l.jpg

Starter Questions numerator and denominator have a number or letter in common.

Calculate the following :

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Slide28 l.jpg

Algebraic Operations numerator and denominator have a number or letter in common.

The Subject of a Formula

Learning Intention

Success Criteria

  • To explain how to change the subject of a formula containing square and square root terms.

  • Know change sign change sign for solving equations.

  • 2. Apply knowledge to change subject of harder formulae including square and square root terms.

www.mathsrevision.com

www.mathsrevision.com


Slide29 l.jpg

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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Slide30 l.jpg

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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What goes in the box31 l.jpg
What Goes In The Box ? numerator and denominator have a number or letter in common.

Change the subject to x.

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Slide32 l.jpg

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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