Algebraic conventions
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Transcript of Algebraic conventions
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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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