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Algebra

Objective

Keywords

Algebraic conventions

Algebra Convention

Squared

12/04/2023

GOODGOOD

GREATGREAT

HEROHERO

Achievements

Know that a letter can be any number

Know how to multiply using letters withnumbers

Know how to divide using letters with numbers

Introduction

Bored Ben!

My number is…….?

Ben’s teacher tells him to think of a number…

What could it be?

1 ½53

5.6

-2.8

-2¼

Ben’s number!

What IS the number then?

I’m notsaying!

What can we usefor Ben’s number?

Letters!!

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 x

y zA B C D E F G H I J K L

M N O P Q R S T U V W XY Z

I get it!!!!So…a letter in maths means….. A

number!!

We just don’t knowwhat the number is!

All about algebra!

Match up!Match up two numbers that are the same!

Y N

ny d

cCX

Y

Nn

y

bcCX

Find the odd ones out!

Click letters in yellow box to show matching pair

Click on odd ones out to reveal.

Multiplying(Letters & numbers)

Ben’s number

Ben’s number is……

n..I think I’lldouble it! n

2xin algebra this is……

2n ..got rid of..

Whathappened?

Put thenumber first!

Gurdeep’s number

Gurdeep’s number is different to Ben’s..

..I wantto times it

by 6!ff x 66f

The rules!

In algebra…

When a letter is… x A number…

PUT THE NUMBERFIRST!

Ben says!

I’m thinking of a number.What’s the answer if I….

1 Times it by 7?

2 Multiply it by 12?

3 Treble it?

5 Multiply it by 1.8?

6 Times it by ¼?

7y12y3y

1.8y¼y

4 Have 4 lots of it? 4y

Number is“y”

Multiplying algebraComplete these questions.

1 a times 7

2 8 multiplied by e

3 Double x

4 Multiply h by 5

5 5 lots of k

6 6 times v

7 p multiplied by 9

8 Treble d

9 Multiply 8 by w10 x lots of 14

11 f x 612 23 x k

13 y x 614 m x 15

15 1.4 x d16 g x 3.7

17 0.5 x n18 ½ x c

19 h x ¾20 1¼ x a

7a

8e

2x

5h

5k

6v

9p

3d

8w

14x

6f

23k

6y

15m1.4d

3.7d

0.5n

½c

¾h

1¼a

Worksheet 1

When letters aren't numbers!

The great pyramid at Giza, Egypt

..is about 140 metres tall! 140m!

The m meansmetres! It

isn’t a number!

Multiplying(Letters & letters)

Ben and Gurdeep…want to multiply their numbers together

x fnn fWhat

happened?

Letters in alphabetical

order!

abcdefghijklmnopqrstuvwxyz

If I times mynumber by itself

I get…..

If I times mynumber by itself

I get…..

n x n

f x f

nn

2f

All by itself!

Who is right?

n²

f²

Micah says!

Times it by m?

2 Multiply it by a?

3 Have y lots of it?

4 Times it by b, thenby h?

emaeey

beh

I’m thinking of a number.What’s the answer if I….

1

Number is“e”

5 Times it by e? e²6 Times it by itself

then by k? e²k

Multiplying algebraComplete these questions.

1 a times d

2 h multiplied by f

3

4

Multiply n by d

5

g lots of t

6

w times v

7

P multiplied by H

8

9

Multiply n by m

10

d lots of n

11 h x c12 d x k

13 h x k14 m x a

15 a x b x c16 d x a x k

17 u x u18 m x m

19 g x g x f20 b x a x b

ad

fh

EHK

dn

gt

vw

PH

mn

dn

ch

dk

hk

am

abc

adk

u²

m²

g²

ab²

Worksheet 2

K times by E thenby H

Multiply D by C and U CDU

I weigh84

kilograms!

84kg

When letters aren't numbers!

Meet Pythagoras. A very famous greek mathematician.

The kg meanskilograms NOT

84 x k x g

Georges homework

George’s HomeworkMark George’s homework. (For each mistake take one mark)

1 3 times T

2 h multiplied by 4

3

4

Double k

5

5.2 lots of y

n times by ½

3t

4h

k2

5.2y

2n

6 f x b

7 e x p

8

9

d x k x a

10

g x g

w x k x w

df

ep

adk

gg

kw²

3T

2k

½n

bf

g²

What markwould

Georgeget out of

10?

Worksheet 3

George’smark

10

George’s

answer

Rightanswer

Right orwrong

5

Dividing

a ba bDividing numbers

What happens when we divide numbers?

b ab aWhat happens when we divide numbers?

Dividing numbers

What’s going on?

H KSo what IS happening when we divide numbers?

This number…

This number…H

Goes on top Goes on thebottom

K

2 m2 mWhat happens when we divide numbers?

Dividing numbers

y² 4y² 4What happens when we divide numbers?

Dividing numbers

Chelsea says!

Divide it by n?

2 Divide g by it?

3 Share it with y people?

4 Split it into f lots?

I’m thinking of a number.What’s the answer if I….

1

Number is“u”

5 Divide it by k²?

6 Divide it by itself

unguuyufuk²uu 1

Dividing algebraComplete these questions.

1 g divided by d

2 3 divided by y

3

4

Divide n by m

5

Split h into g lots

6

Divide w² by 8

7

Share 14 with k people

8

9

Divide b into c lots

10

a² divided by k²

11 h ÷ c12 c ÷ h

13 3 ÷ m14 m² ÷ 7

15 a ÷ b²16 d ² ÷ a²

17 u ÷ u18 m ÷ m

19 2g ÷ k20 d ÷ 4c

Worksheet 4

2 lots of h divided by f

y divided by itself

gd3ynmhgw²814kbca²k²

2hf

hcch3mm²7ab²d²a²

2gkd4c

1

1

1

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