Algebraic Expressions: From Words to Equations
Algebra
Maths with letters
Starter: How many paperclips?
How many paperclips are there in the pot?
Write your guess down in your book
Algebra
Put your Red, Amber and Green cards from diary on the table
By the end of this lesson you
will….
ALL
MOST
SOME
How many
paperclips in the
pot?
n
Paperclips
What if I took 2
out?
n-2
Paperclips
5c
What if I added
4?
n+4
Paperclips
What if I took 12
out?
n-12
Paperclips
What if I added
100?
n+100
Important
Addition
5+n = n+5
Order does not matter
Subtraction
5-n ≠ n-5
Order matters
b
4
12
f
What is the length of the lorry?
b + 4
12 + f
= 4 + b
= f + 12
3
more
than
m
can be written as
m
+
3
m
more
than
3
can be written as
3
+
m
5
less
than
k
can be written as
k
–
5
k
less
than
5
can be written as
5
-
k
We can use letters to help us
write expressions
Paperclips
What if I added
another pot that
has same
number of pins?
n+n
2xn
2n
Paperclips
What if I added 2
more pots that
have the same
number of pins?
n+n+n
3xn
3n
Divide
b by 5
can be written as
b ÷ 5
Multiply g by 6
can be written as
6 x g = 6g
Add
2 to v
and multiply
the result by 5
Half of m
1.
2.
3.
can be written as
V+2 x 5
(V+2) x 5
4.
can be written as
m ÷ 2
GOOD
EVEN BETTER IF
1)
w
2
2)
14
2k
m
3)
n
Construct an expression for the length of the lorry
Construct an expression for the length of the line
4
p
1)
g
k
2)
3)
x
h
Worksheet
ALGEBRA SHOWDOWN
One team-leader
All the questions are with team-leader
One question at a time - whiteboards
Write down the correct answer on the sheet
When all 5 done, you can come to me to get the next sheet
The team with the most correct answers wins.
GOOD
EXCEPTIONAL
EVEN BETTER IF
1) Multiply f by 3
2) Divide m by 5
3) Multiply g by 7
4) Half k
5) Double w
6) Multiply a by m
1)
Add 4 to m and then multiply the result by 5
2)
Multiply p by 5 and then divide by 3
3)
4 more than the square of n
4)
Subtract 3 from y and then half the result
1) 4 more than m
2) n less than h
3) 3 more than c
4) d less than 7
5) q more than a
6) 8 less than t
7) h less than p
8) k more than 5
9) f more than r
SHOWDOWN GAME QUESTIONS
Write an expression for:
1.
There are
c
cars in a car park, then
5
more cars arrive
2.
There are
s
sweets in a box, then someone eats
6
of them
3.
There are
4
pupils in the canteen, then
n
more arrive
4.
Mrs Collins is
r
years old, her brother is 2 years younger
5.
A number (n) less than 12
6.
Tony had 15 stickers. He gave ‘g’ stickers to his friends. How
many stickers does have left?
7.
Multiply n by 5, and then square your answer.
8.
Add 5 to n, and then divide your answer by 3.
(5+n) ÷ 3
c + 5
s - 6
4 + n
r - 2
12 - n
15 - g
(5xn)² = (5n)²
BIDMAS
STAR Question
George has 2 cars. Tommy has 5 cars. And Peter has 1 car, how
many cars do they have in total?
If George has 2c, Tommy has 5c, and Peter has 1c, how many
c’s do they have in total?
Plenary: True or False?
An algebraic
expression
is an expression like
being happy or sad
You can use any
letters in algebraic
expressions
Plenary: True or False?
n + 5 is the
same as 5 +n
n - 5 is the
same as 5 - n
Explore the world of algebra through letters and expressions. Learn to translate words into mathematical equations, solve for variables, and manipulate algebraic expressions. From adding and subtracting paperclips to mastering BIDMAS, this lesson will deepen your understanding of algebra concepts.
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Presentation Transcript
Algebra Maths with letters
Algebra Starter: How many paperclips? How many paperclips are there in the pot? Write your guess down in your book Put your Red, Amber and Green cards from diary on the table
By the end of this lesson you will . SOME 3. Write expressions following BIDMAS ALL MOST 1. Understand algebraic expressions from words 2. Write algebraic expressions from words
Paperclips How many paperclips in the pot? n
Paperclips What if I took 2 out? n-2
Paperclips 5c What if I added 4? n+4
Paperclips What if I took 12 out? n-12
Paperclips What if I added 100? n+100
Important Addition Subtraction 5+n = n+5 5-n n-5 Order does not matter Order matters
What is the length of the lorry? b + 4 = 4 + b 12 + f = f + 12 b 4 12 f
We can use letters to help us write expressions 3 more than m can be written as m + 3 m more than 3 can be written as 3 + m 5 less than k can be written as k 5 k less than 5 can be written as 5 - k
Paperclips What if I added another pot that has same number of pins? n+n 2xn 2n
Paperclips What if I added 2 more pots that have the same number of pins? 3xn 3n n+n+n
Divide b by 5 can be written as b 5 1. Multiply g by 6 can be written as 6 x g = 6g 2. Add 2 to v and multiply the result by 5 V+2 x 5 (V+2) x 5 3. can be written as Half of m can be written as m 2 4.
Worksheet GOOD Construct an expression for the length of the lorry 1) 2) 3) w m n 2k 2 14 EVEN BETTER IF p 1) Construct an expression for the length of the line 4 g k 2) x 3) h
ALGEBRA SHOWDOWN One team-leader All the questions are with team-leader One question at a time - whiteboards Write down the correct answer on the sheet When all 5 done, you can come to me to get the next sheet The team with the most correct answers wins.
SHOWDOWN GAME QUESTIONS GOOD 1) 4 more than m 4) d less than 7 7) h less than p 2) n less than h 5) q more than a 8) k more than 5 3) 3 more than c 6) 8 less than t 9) f more than r EVEN BETTER IF 1) Multiply f by 3 2) Divide m by 5 3) Multiply g by 7 4) Half k 5) Double w 6) Multiply a by m EXCEPTIONAL 1) Add 4 to m and then multiply the result by 5 2) Multiply p by 5 and then divide by 3 3) 4 more than the square of n 4) Subtract 3 from y and then half the result
Algebraic Expressions Write an expression for: c + 5 1. There are c cars in a car park, then 5 more cars arrive s - 6 2. There are s sweets in a box, then someone eats 6 of them 3. There are 4 pupils in the canteen, then n more arrive 4 + n r - 2 4. Mrs Collins is r years old, her brother is 2 years younger 12 - n 5. A number (n) less than 12 6. Tony had 15 stickers. He gave g stickers to his friends. How 15 - g many stickers does have left? (5xn) = (5n) 7. Multiply n by 5, and then square your answer. BIDMAS 8. Add 5 to n, and then divide your answer by 3. (5+n) 3
STAR Question George has 2 cars. Tommy has 5 cars. And Peter has 1 car, how many cars do they have in total? If George has 2c, Tommy has 5c, and Peter has 1c, how many c s do they have in total?
Plenary: True or False? An algebraic You can use any expression letters in algebraic is an expression like expressions being happy or sad
Plenary: True or False? n + 5 is the n - 5 is the same as 5 +n same as 5 - n
