1. May 2013 Objective: to be able to multiply and divide expressions Skills: Absorption and Making Links By the end of the lesson: All: will be able to multiply 2 letters together Most: will be able to multiply 2 letters with numbers Some: will be able to divide in algebra

2. Starter a)5y b)4m +b c)3a + z d)8r + 6b e)12y + 2t

3. Multiplying in algebra a × b = a × a = ab a2a2 a 2 x a = a 3

4. Multiplying with letters 1.Multiply the numbers first 2.Then multiply the letters 3.Put them together Example 4n x 3m = 12 nm

5. Examples 4ab 12ab 32cd 48mn 2hig 12jkl 6yxz 30rst

6. Questions Green 1.a x a = 2.c x c = 3.3a x a = 4.5t x 4 = 5.2b x 3b = Red 1.4a x 5a = 2.5b x 7b 3.a x b = 4.5a x 3b = 5.3ab x 6a =

7. Answers Green 1.a 2 2.c 2 3.3a 2 4.20t 5.6b 2 Red 1.20a 2 2.35b 2 3.ab 4.15ab 5.18a 2 b

8. Questions Green 1.4a x 5a = 2.3c x 7c = 3.3ab x 5b = 4.5at x 4tb = 5.2bc x 3bcm = Red 1.4ab x 5ab 2 = 2.5a x 7b x 2a 3.3a x 4b x 5b = 4.5a x 3b x 2a = 5.3ab x 6ab x 2ab =

9. Answers Green 1.20a 2 2.21c 2 3.15ab 2 4.20at 2 b 5.6b 2 c 2 m Red 1.20a 2 b 3 2.70a 2 b 3.60ab 2 4.30a 2 b 5.36a 3 b 3

10. We can make this harder... a 2 b x a 2 b = Remember : Multiply the numbers first then multiply the letters

11. Questions Green 1.a 2 x a 2 = 2.c 2 x c 5 = 3.3a 2 x a = 4.5t 2 x 4t 2 = 5.2b 2 x 3b 7 = Red 1.4a 2 x 5a 6 = 2.5a 2 b x 7b 2 = 3.w 2 a 2 x w 2 b= 4.5n 2 o 2 x 3n 6 o 5 = 5.3a 2 bc 6 x 8a 2 b 2 c 2 =

12. Answers Green 1.a 4 2.c 7 3.3a 3 4.20t 4 5.6b 9 Red 1.20a 8 2.35a 2 b 3 3.w 4 a 2 b 4.15n 8 o 7 5.24a 4 b 3 c 8

13. Objective: to be able to divide in algebra. Skills: Absorption and Making Links Starter 1)2 x x = 2)x x x = 3)x + x = 4)3x + 5x = 5)5y x 4y = 6)3abc x 4ab = 7)2s 2 x 3t x 4rst =

14. Dividing Algebra What do you think we do?

15. Dividing terms in algebra 1.Divide the numbers first 2.Then divide the letters 3.Put them together Example 12n 2 ÷ 3n = 4n

16. Division We follow the same process but divide our numbers and subtract the little numbers 10a 3 ÷ 2a 2 =

17. Questions Green 1.6a 2 ÷ a 2 = 2.12c 8 ÷ 6c 5 = 3.15a 6 ÷ 3a 6 = 4.5t 2 ÷ t 2 = 5.12b 5 ÷ 3b 2 = Red 1.24a 7 ÷ 6a 6 = 2.35a 2 b ÷ 7b = 3.16w 9 a 2 ÷ 4w 2 = 4.18n 10 o 2 ÷ 3n 6 o 5 = 5.32a 6 bc 2 ÷ 8a 2 c 2 =

18. Answers Green 1.6 2.2c 3 3.5 4.5 5.4b 3 Red 1.4a 2.5a 2 3.4w 7 a 2 4.6n 4 o -3 5.4a 4 b