Teachers maths resource. Written by teachers for teachers

1. motiv8 maths.co.uk

2. Algebra 16/06/2011 Objective Algebraic conventions Keywords Algebra Convention Squared

3. Bronze Medal GOOD Silver Medal GREAT Gold Medal HERO Achievements Know that a letter can be any number Know how to multiply using letters with numbers Know how to divide using letters with numbers

4. Introduction

5. Bored Ben! Ben’s teacher tells him to think of a number… What could it be? My number is…….? 1 53 ½ 5.6 -2¼ -2.8

6. Ben’s number! What IS the number then? I’m not saying! What can we use for Ben’s number? Letters!!

7. All about algebra! What letters can we use? a b c d e f g h I j k l m n o p q r s t u v w x y z A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

8. All about algebra! So…a letter in maths means….. A number!! I get it!!!! We just don’t know what the number is!

9. Match up! Match up two numbers that are the same! Find the odd ones out! c Y N b Y c n y C X C d y N X n Click letters in yellow box to show matching pair Click on odd ones out to reveal.

10. Multiplying (Letters & numbers)

11. Ben’s number n n Ben’s number is…… ..I think I’ll double it! What happened? in algebra this is…… n x 2 2 ..got rid of.. Put the number first!

12. Gurdeep’s number Gurdeep’s number is different to Ben’s.. f ..I want to times it by 6! f x 6 6f

13. The rules! x In algebra… When a letter is… A number… PUT THE NUMBER FIRST!

14. Ben says! Number is “y” I’m thinking of a number. 7y 1 Times it by 7? What’s the answer if I…. 12y 2 Multiply it by 12? 3y 3 Treble it? 4y 4 Have 4 lots of it? 1.8y 5 Multiply it by 1.8? ¼y 6 Times it by ¼?

15. Multiplying algebra Worksheet 1 Complete these questions. 6f 7a 11 f x 6 1 a times 7 23k 8e 12 23 x k 2 8 multiplied by e 13 6y y x 6 3 Double x 2x 14 15m m x 15 4 Multiply h by 5 5h 1.4d 5k 15 1.4 x d 5 5 lots of k 3.7d 16 g x 3.7 6 6v 6 times v 0.5n 9p 17 0.5 x n 7 p multiplied by 9 ½c 3d 18 ½ x c 8 Treble d ¾h 8w 19 h x ¾ 9 Multiply 8 by w 1¼a 20 1¼ x a 10 14x x lots of 14

16. When letters aren't numbers! The great pyramid at Giza, Egypt The m means metres! It isn’t a number! 140m! ..is about 140 metres tall!

17. Multiplying (Letters & letters)

18. Ben and Gurdeep …want to multiply their numbers together n x f n f What happened? Letters in alphabetical order! abcdefghijklmnopqrstuvwxyz

19. All by itself! Who is right? If I times my number by itself I get….. n² n x n nn If I times my number by itself I get….. f x f 2f f²

20. Micah says! Number is “e” I’m thinking of a number. em 1 Times it by m? What’s the answer if I…. ae 2 Multiply it by a? ey 3 Have y lots of it? beh Times it by b, then by h? 4 e² 5 Times it by e? e²k Times it by itself then by k? 6

21. Multiplying algebra Worksheet 2 Complete these questions. ch ad 11 h x c 1 a times d dk fh 12 d x k 2 h multiplied by f 13 hk Multiply n by d h x k dn 3 14 am m x a 4 gt g lots of t abc 15 vw w times v a x b x c 5 adk PH 16 d x a x k 6 P multiplied by H u² 17 u x u 7 Multiply n by m mn m² 18 m x m dn 8 d lots of n K times by E then by H g² 19 g x g x f EHK 9 Multiply D by C and U CDU ab² 20 b x a x b 10

22. When letters aren't numbers! Meet Pythagoras. A very famous greek mathematician. I weigh 84 kilograms! The kg means kilograms NOT 84 x k x g 84kg

23. Georges homework

24. George’s Homework Worksheet 3 Mark George’s homework. (For each mistake take one mark) George’s answer Right answer Right or wrong 1 3 times T 3t 3T 2 h multiplied by 4 4h Double k 3 k2 2k George’s mark 4 5.2y 5.2 lots of y What mark would George get out of 10? 5 ½n 2n n times by ½ 5 6 f x b bf df 10 7 e x p ep d x k x a 8 adk g² 9 gg g x g kw² w x k x w 10

25. Dividing

26. Dividing numbers What happens when we divide numbers? a b a b

27. Dividing numbers What happens when we divide numbers? b a b a

28. What’s going on? So what IS happening when we divide numbers? H K H K This number… This number… Goes on the bottom Goes on top

29. Dividing numbers What happens when we divide numbers? 2 m 2 m

30. Dividing numbers What happens when we divide numbers? y² 4 y² 4

31. Chelsea says! Number is “u” I’m thinking of a number. 1 Divide it by n? What’s the answer if I…. 2 Divide g by it? g u u u u u n u y u 3 f k² Share it with y people? 4 Split it into f lots? 5 Divide it by k²? 1 6 Divide it by itself

32. h c c 3 y h n 3 m m m² h g 7 g a w² d b² 8 d² 14 a² k b 1 c a² 1 1 k² 2g k d 2h 4c f Dividing algebra Worksheet 4 Complete these questions. 11 h ÷ c 1 g divided by d 12 c ÷ h 2 3 divided by y 13 Divide n by m 3 ÷ m 3 14 m² ÷ 7 4 Split h into g lots 15 Divide w² by 8 a ÷ b² 5 16 d ² ÷ a² 6 Share 14 with k people 17 u ÷ u 7 Divide b into c lots 18 m ÷ m 8 a² divided by k² 19 y divided by itself 2g ÷ k 9 20 d ÷ 4c 10 2 lots of h divided by f

33. Pupil worksheets