This document provides information about algebraic conventions and operations such as multiplication, division, and exponents. It uses letters to represent unknown numbers in examples and worksheets. Some key points covered include: - Letters represent unknown numbers in algebra - The number is written first when multiplying a letter by a number - When multiplying two letters the letters are written in alphabetical order - To divide a letter by a number, the letter is written first with the number below - Squaring a letter or number uses an exponent, such as n2 for n multiplied by itself

1. motiv8maths.co.uk

2. Algebra16/06/2011ObjectiveAlgebraic conventionsKeywordsAlgebraConventionSquared

3. Bronze MedalGOODSilver MedalGREATGold MedalHEROAchievementsKnow that a letter can be any numberKnow how to multiply using letters withnumbersKnow 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 53½5.6-2¼-2.8

6. Ben’s number!What IS the number then?I’m notsaying!What can we usefor Ben’s number? Letters!!

7. All about algebra!What letters can we use?a b c d e f g h I j k lm n o p q r s t u v w xy zA B C D E F G H I J K LM N O P Q R S T U V W XY Z

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

9. Match up!Match up two numbers that are the same!Find the odd ones out!cYNbYcnyCXCdyNXnClick letters in yellow box to show matching pairClick on odd ones out to reveal.

10. Multiplying(Letters & numbers)

11. Ben’s numbernnBen’s number is……..I think I’lldouble it!Whathappened?in algebra this is……nx22..got rid of..Put thenumber first!

12. Gurdeep’s numberGurdeep’s number is different to Ben’s..f..I wantto times itby 6!f x 66f

13. The rules!xIn algebra…When a letter is…A number…PUT THE NUMBERFIRST!

14. Ben says!Number is“y”I’m thinking of a number.7y1Times it by 7?What’s the answer if I….12y2Multiply it by 12?3y3Treble it?4y4Have 4 lots of it?1.8y5Multiply it by 1.8?¼y6Times it by ¼?

15. Multiplying algebraWorksheet 1Complete these questions.6f7a11f x 61a times 723k8e1223 x k28 multiplied by e136yy x 63Double x2x1415mm x 154Multiply h by 55h1.4d5k151.4 x d55 lots of k3.7d16g x 3.766v6 times v0.5n9p170.5 x n7p multiplied by 9½c3d18½ x c8Treble d¾h8w19h x ¾9Multiply 8 by w1¼a201¼ x a1014xx lots of 14

16. When letters aren't numbers!The great pyramid at Giza, EgyptThe m meansmetres! Itisn’t a number!140m!..is about 140 metres tall!

17. Multiplying(Letters & letters)

18. Ben and Gurdeep…want to multiply their numbers togethernxfnfWhathappened?Letters in alphabeticalorder!abcdefghijklmnopqrstuvwxyz

19. All by itself!Who is right?If I times mynumber by itselfI get…..n²n x nnnIf I times mynumber by itselfI get…..f x f2ff²

20. Micah says!Number is“e”I’m thinking of a number.em1Times it by m?What’s the answer if I….ae2Multiply it by a?ey3Have y lots of it?behTimes it by b, thenby h?4e²5Times it by e?e²kTimes it by itselfthen by k?6

21. Multiplying algebraWorksheet 2Complete these questions.chad11h x c1a times ddkfh12d x k2h multiplied by f13hkMultiply n by dh x kdn314amm x a4gtg lots of tabc15vww times va x b x c5adkPH16d x a x k6P multiplied by Hu²17u x u7Multiply n by mmnm²18m x mdn8d lots of nK times by E thenby Hg²19g x g x fEHK9Multiply D by C and UCDUab²20b x a x b10

22. When letters aren't numbers!Meet Pythagoras. A very famous greek mathematician.I weigh84 kilograms!The kg meanskilograms NOT84 x k x g84kg

23. Georges homework

24. George’s HomeworkWorksheet 3Mark George’s homework. (For each mistake take one mark)George’sanswerRightanswerRight orwrong13 times T3t3T2h multiplied by 44hDouble k3k22kGeorge’smark45.2y5.2 lots of yWhat markwould Georgeget out of10?5 ½n2nn times by ½56f x bbfdf107e x pepd x k x a8adkg²9ggg x gkw²w x k x w 10

25. Dividing

26. Dividing numbersWhat happens when we divide numbers?abab

27. Dividing numbersWhat happens when we divide numbers?baba

28. What’s going on?So what IS happening when we divide numbers?HKHKThis number…This number…Goes on thebottomGoes on top

29. Dividing numbersWhat happens when we divide numbers?2m2m

30. Dividing numbersWhat happens when we divide numbers?y²4y²4

31. Chelsea says!Number is“u”I’m thinking of a number.1Divide it by n?What’s the answer if I….2Divide g by it?guuuuunuyu3fk²Share it with y people?4Split it into f lots?5Divide it by k²?16Divide it by itself

32. hcc3yhn3mmm²hg7gaw²db²8d²14a²kb1ca²11k²2gkd2h4cfDividing algebraWorksheet 4Complete these questions.11h ÷ c1g divided by d12c ÷ h23 divided by y13Divide n by m3 ÷ m314m² ÷ 74Split h into g lots15Divide w² by 8a ÷ b²516d ² ÷ a²6Share 14 with k people17u ÷ u7Divide b into c lots18m ÷ m8a² divided by k²19y divided by itself2g ÷ k920d ÷ 4c102 lots of h divided by f

33. Pupilworksheets