Algebraic conventions
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Transcript of Algebraic conventions
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motiv8maths.co.uk
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Algebra
Objective
Keywords
Algebraic conventions
Algebra Convention
Squared
12/04/2023
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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
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Introduction
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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
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Ben’s number!
What IS the number then?
I’m notsaying!
What can we usefor Ben’s number?
Letters!!
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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
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I get it!!!!So…a letter in maths means….. A
number!!
We just don’t knowwhat the number is!
All about algebra!
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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.
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Multiplying(Letters & numbers)
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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!
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Gurdeep’s number
Gurdeep’s number is different to Ben’s..
..I wantto times it
by 6!ff x 66f
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The rules!
In algebra…
When a letter is… x A number…
PUT THE NUMBERFIRST!
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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”
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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
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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!
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Multiplying(Letters & letters)
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Ben and Gurdeep…want to multiply their numbers together
x fnn fWhat
happened?
Letters in alphabetical
order!
abcdefghijklmnopqrstuvwxyz
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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
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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
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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
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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
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Georges homework
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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
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Dividing
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a ba bDividing numbers
What happens when we divide numbers?
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b ab aWhat happens when we divide numbers?
Dividing numbers
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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
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2 m2 mWhat happens when we divide numbers?
Dividing numbers
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y² 4y² 4What happens when we divide numbers?
Dividing numbers
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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
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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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Pupilworksheets
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