1. www.mathsrevision.com S4 credit www.mathsrevision.com Equivalent and Simplifying Fractions Adding Fractions www.mathsrevision.com Multiplying Fractions Algebraic Fractions Dividing Fractions Subtracting Fractions

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

3. S4 credit www.mathsrevision.com 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.

4. www.mathsrevision.com S4 credit www.mathsrevision.com 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

5. www.mathsrevision.com S4 credit www.mathsrevision.com Equivalent Fractions Numerical Fraction Algebraic Fraction Common Denominator for 2 fractions

6. www.mathsrevision.com S4 credit www.mathsrevision.com 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

7. www.mathsrevision.com S4 credit www.mathsrevision.com Examples 3 1 1 1 1 1 1 1 3 1 1 1 1 6 1 1 1 1 Algebraic Fractions

8. www.mathsrevision.com S4 credit www.mathsrevision.com Examples 1 1 1 1 1 1 Algebraic Fractions

9. www.mathsrevision.com What Goes In The Box ? S4 Credit

10. www.mathsrevision.com Now try MIA Ex 2.1 Ch6 (page 117) S4 Credit Algebraic Fractions

11. www.mathsrevision.com S4 credit 4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com

12. S4 credit www.mathsrevision.com 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

13. www.mathsrevision.com Numerical fraction Algebraic Fraction Algebraic Fractions Multiplication S4 Credit 10 3 2 15 1

14. www.mathsrevision.com Example 2 Example 3 Algebraic Fractions Multiplication 1 11 1 S4 Credit

15. www.mathsrevision.com What Goes In The Box ? S4 Credit

16. www.mathsrevision.com Now try MIA Ex 3.1 Ch6 (page 120) S4 Credit Algebraic Fractions Multiplication

17. www.mathsrevision.com S4 credit 4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions

18. www.mathsrevision.com S4 credit www.mathsrevision.com 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

19. www.mathsrevision.com Numerical Fraction Algebraic Fraction Algebraic Fractions Division S4 Credit 1 1 15 8

20. www.mathsrevision.com Algebraic Fractions Division S4 Credit 4 3 Example 2 Example 3

21. www.mathsrevision.com Algebraic Fractions Division S4 Credit 1 1 Example 4 1 1 1 1

22. www.mathsrevision.com What Goes In The Box ? S4 Credit

23. www.mathsrevision.com Now try MIA Ex 4.1 Ch6 (page 122) S4 Credit Division Algebraic Fractions

24. www.mathsrevision.com 4-Aug-15Compiled by Mr. Lafferty Maths Dept. Starter Questions Q1.Explain why 4 + 6 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

25. www.mathsrevision.com S4 credit www.mathsrevision.com 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

26. www.mathsrevision.com Example 1a Example 1b 2 + 8 4 ÷2 d + 3d d2d2 4d d2d2 ÷d S4 Credit Addition Algebraic Fractions

27. www.mathsrevision.com Example 2 Example 3 x2x2 + 4x 12 x(x - 1) + 3(x + 1) (x - 1)(x + 1) 3x + 3 + x 2 – x (x - 1)(x + 1) S4 Credit Addition Algebraic Fractions x 2 + 2x + 3 (x - 1)(x + 1)

28. www.mathsrevision.com What Goes In The Box ? S4 Credit

29. www.mathsrevision.com Now try MIA Ex 5.1 & Ex 5.2 Ch6 (page 124) S4 Credit Addition Algebraic Fractions

30. www.mathsrevision.com S4 credit www.mathsrevision.com Starter Questions 1. Simplify the following fractions :

31. www.mathsrevision.com S4 credit www.mathsrevision.com 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

32. www.mathsrevision.com Example 1a Example 1b 8 - 20 15 p - 3m pm S4 Credit Subtraction Algebraic Fractions

33. www.mathsrevision.com 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)

34. www.mathsrevision.com What Goes In The Box ? S4 Credit

35. www.mathsrevision.com Now try MIA Ex 6.1 & Ex 6.2 Ch6 (page 127) S4 Credit Subtraction Algebraic Fractions