1. www.mathsrevision.com Algebraic Operations Simplest Form Adding / Sub Fractions www.mathsrevision.com Multiple / Divide Fractions Subject of Formula Harder Subject of Formula

2. www.mathsrevision.com Starter Questions 1.Simplify the following fractions :

3. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to simplify algebraic fractions. 1.Understand term Highest Common Factor. Algebraic Operations 2.Simplify algebraic fractions by identifying HCF.

4. 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. Examples HCF = 3 HCF = Y

5. www.mathsrevision.com Fraction in Simplest form Examples 3 1 1 1 1 1 1 1

6. www.mathsrevision.com Fraction in Simplest form Examples 1 1 1 1 Exercise 1 Page 186

7. www.mathsrevision.com What Goes In The Box ? Simplify the following square roots:

8. www.mathsrevision.com Starter Questions 1.Simplify the following fractions :

9. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to add and subtract algebraic fractions. 1.Know how to add and sub simple fractions Algebraic Operations 2.Apply same knowledge to add and sub algebraic fractions.

10. www.mathsrevision.com 2 + 2-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions 8 4 ÷2 Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify

11. www.mathsrevision.com 6 - 2-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions 30 25 Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify

12. www.mathsrevision.com Adding Algebraic Fractions Example 1a Example 1b 2 + 8 4 ÷2 d + 3d d2d2 4d d2d2 ÷d

13. www.mathsrevision.com Adding Algebraic Fractions Example 1a Example 1b 8 - 20 15 p - 3m pm

14. www.mathsrevision.com What Goes In The Box ? Simplify the following square roots:

15. www.mathsrevision.com Adding / Subtracting Algebraic Fractions Exercise 2 Page 200

16. www.mathsrevision.com Starter Questions Calculate the following :

17. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to multiply and divide by algebraic fractions. 1.Know rules for multiplication and division of simple fractions. Algebraic Operations 2.Apply knowledge to algebraic fractions. Multiplication and division

18. www.mathsrevision.com Example 1a Example 1b Algebraic Fractions Multiplication and division 2 1 2 1 1 a

19. www.mathsrevision.com Example 2a Example 2b Algebraic Fractions Multiplication and division 3 2 1 1

20. www.mathsrevision.com What Goes In The Box ? Simplify the following square roots:

21. www.mathsrevision.com Algebraic Fractions Multiplication and division Exercise 3 Page 200

22. www.mathsrevision.com Starter Questions Calculate the following :

23. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to change the subject of a formula using “change side change sign” method. 1.Know change sign change sign for solving equations. Algebraic Operations 2.Apply knowledge to change subject of a formula. The Subject of a Formula

24. www.mathsrevision.com 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.

25. www.mathsrevision.com Algebraic Fractions The Subject of a Formula We can make D the subject of the formula by using the rule “ change side change side “

26. www.mathsrevision.com What Goes In The Box ? Make y the subject of the formulae below : x + y = 8 x = y - 9 -x + 2y = 2 x = 4( y + 1 ) y = 8- x y = x + 9 Exercise 4 Page 202

27. www.mathsrevision.com Starter Questions Calculate the following :

28. www.mathsrevision.com Learning Intention Success Criteria 1.To explain how to change the subject of a formula containing square and square root terms. 1.Know change sign change sign for solving equations. Algebraic Operations 2.Apply knowledge to change subject of harder formulae including square and square root terms. The Subject of a Formula

29. www.mathsrevision.com 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.

30. www.mathsrevision.com 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.

31. www.mathsrevision.com What Goes In The Box ? Change the subject to x.

32. www.mathsrevision.com Exercise 6 Page 204 Algebraic Fractions The Subject of a Formula