S4 credit Equivalent and Simplifying Fractions Adding Fractions Multiplying Fractions Algebraic Fractions Dividing Fractions Subtracting Fractions

S4 credit 4-Aug-15Compiled by Mr. Lafferty Maths Dept. S3 Starter Questions

S4 credit Learning Intention Success Criteria 1.To explain how to simplify algebraic fractions. 1.Understand term Highest Common Factor. Algebraic Fractions 2.Simplify algebraic fractions by identifying HCF.

S4 credit Equivalent Fractions We already know how to create an equivalent fraction for numerical fractions. The exact same process is used for algebraic fractions. Numerical Fraction Algebraic Fraction Multiply top and bottom by any number Multiply top and bottom by any number or letter

S4 credit Equivalent Fractions Numerical Fraction Algebraic Fraction Common Denominator for 2 fractions

S4 credit We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common. Examples HCF = 3 HCF = Y Algebraic Fractions

S4 credit Examples Algebraic Fractions

S4 credit Examples Algebraic Fractions

What Goes In The Box ? S4 Credit

Now try MIA Ex 2.1 Ch6 (page 117) S4 Credit Algebraic Fractions

S4 credit 4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions

S4 credit Learning Intention Success Criteria 1.To explain how to multiply algebraic fractions. 1.Know rules for multiplication simple fractions. 2.Apply knowledge to algebraic fractions. Multiplication Algebraic Fractions

Numerical fraction Algebraic Fraction Algebraic Fractions Multiplication S4 Credit

Example 2 Example 3 Algebraic Fractions Multiplication S4 Credit

What Goes In The Box ? S4 Credit

Now try MIA Ex 3.1 Ch6 (page 120) S4 Credit Algebraic Fractions Multiplication

S4 credit 4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions

S4 credit Learning Intention Success Criteria 1.To explain how to divide algebraic fractions. 1.Know rules for division of simple fractions. 2.Apply knowledge to algebraic fractions. Division Algebraic Fractions

Numerical Fraction Algebraic Fraction Algebraic Fractions Division S4 Credit

Algebraic Fractions Division S4 Credit 4 3 Example 2 Example 3

Algebraic Fractions Division S4 Credit 1 1 Example

What Goes In The Box ? S4 Credit

Now try MIA Ex 4.1 Ch6 (page 122) S4 Credit Division Algebraic Fractions

4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions Q1.Explain why x 5 = 34 and not 50 Q2.Calculate Q3. Does x 2 – 121 factorise to (x – 11) (x - 11) Q4. The cost of an iPod is £80 including VAT. How much is the iPod BEFORE VAT. S4 Credit

S4 credit Learning Intention Success Criteria 1.To explain how to add algebraic fractions. 1.Know how to add simple fractions Algebraic Fractions 2.Apply same knowledge to add algebraic fractions. Addition

Example 1a Example 1b ÷2 d + 3d d2d2 4d d2d2 ÷d S4 Credit Addition Algebraic Fractions

Example 2 Example 3 x2x2 + 4x 12 x(x - 1) + 3(x + 1) (x - 1)(x + 1) 3x x 2 – x (x - 1)(x + 1) S4 Credit Addition Algebraic Fractions x 2 + 2x + 3 (x - 1)(x + 1)

What Goes In The Box ? S4 Credit

Now try MIA Ex 5.1 & Ex 5.2 Ch6 (page 124) S4 Credit Addition Algebraic Fractions

S4 credit Starter Questions 1. Simplify the following fractions :

S4 credit Learning Intention Success Criteria 1.To explain how to subtract algebraic fractions. 1.Know how to subtract simple fractions 2.Apply same knowledge to subtract algebraic fractions. Subtraction Algebraic Fractions

Example 1a Example 1b p - 3m pm S4 Credit Subtraction Algebraic Fractions

Example 2 Example 3 fg - 5g 15 x-3(x + 5) x(x + 5) S4 Credit Subtraction Algebraic Fractions x-3x + 15 x(x + 5) 2x + 15 x(x + 5)

What Goes In The Box ? S4 Credit

Now try MIA Ex 6.1 & Ex 6.2 Ch6 (page 127) S4 Credit Subtraction Algebraic Fractions