Algebraic conventions
- 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.
- 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!
- 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