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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

Algebraic Operations

Simplest Form

Adding / Sub Fractions

Multiple / Divide Fractions

www.mathsrevision.com

Subject of Formula

Harder Subject of Formula

www.mathsrevision.com

slide3

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

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

Examples

Fraction in Simplest form

1

1

3

1

1

1

1

1

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fraction in simplest form6

Examples

Fraction in Simplest form

1

1

1

1

Exercise 1 Page 186

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what goes in the box
What Goes In The Box ?

Simplify the following square roots:

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slide9

Algebraic Operations

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

Harder Fractions

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

Harder Fractions

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

Adding Algebraic Fractions

Example 1a

Example 1b

3d

d

+

4

2

+

d2

8

÷d

÷2

4d

÷d

÷2

d2

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slide13

Adding Algebraic Fractions

Example 1a

Example 1b

15

8

-

3m

p

-

20

pm

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what goes in the box14
What Goes In The Box ?

Simplify the following square roots:

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slide15

Adding / Subtracting Algebraic Fractions

Exercise 2 Page 200

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starter questions16

Starter Questions

Calculate the following :

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slide17

Algebraic Operations

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

Algebraic Fractions

Multiplication and division

Example 1b

Example 1a

1

1

1

a

2

2

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slide19

Algebraic Fractions

Multiplication and division

Example 2b

Example 2a

1

2

1

3

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what goes in the box20
What Goes In The Box ?

Simplify the following square roots:

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slide21

Algebraic Fractions

Multiplication and division

Exercise 3 Page 200

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starter questions22

Starter Questions

Calculate the following :

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slide23

Algebraic Operations

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.

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www.mathsrevision.com

slide24

Algebraic Fractions

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

Algebraic Fractions

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
What Goes In The Box ?

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

Starter Questions

Calculate the following :

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slide28

Algebraic Operations

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.

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www.mathsrevision.com

slide29

Algebraic Fractions

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

Algebraic Fractions

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
What Goes In The Box ?

Change the subject to x.

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slide32

Algebraic Fractions

The Subject of a Formula

Exercise 6 Page 204

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