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We forgot to take the register for 7 Bruno on Tuesday! Oh no!
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠 𝑖𝑛𝐵𝑟𝑢𝑛𝑜=𝒑
If everyone was here then 𝒑=𝟑𝟎If there was only ½ the class then 𝒑=𝟏𝟓
TODAY ….. 𝒑=¿
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠 𝑖𝑛𝐵𝑟𝑢𝑛𝑜=𝒑
However, tomorrow some pupils may be absent
so ‘’ can VARY (i.e. change) We call ‘’ a VARIABLE.
The number of FISH in a shoal is an UNKNOWN VALUE and can VARY.
𝐿𝑒𝑡 𝒇 𝑟𝑒𝑝𝑟𝑒𝑠𝑒𝑛𝑡 h𝑡 𝑒𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 h𝑓𝑖𝑠
𝒙+𝒚=𝟏𝟎𝟎
The numbers for this SUM are UNKNOWN VALUES and can VARY.
The number of text books in school Is an UNKNOWN VALUE and can VARY.
𝐿𝑒𝑡 𝒕 𝑟𝑒𝑝𝑟𝑒𝑠𝑒𝑛𝑡 h𝑡 𝑒𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑥𝑡 𝑏𝑜𝑜𝑘𝑠 .
In algebra, we use letter symbols to stand for numbers.
These letters are called unknowns or variables.
Sometimes we can work out the value of the letters and sometimes we can’t.
We can use algebra to help us solve problems by making up algebraic expressions and
equations using the letters to represent the unknown value or variable.
𝑇𝑜𝑡𝑎𝑙𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠𝑖𝑛𝐵𝑟𝑢𝑛𝑜=𝒑
How can I write the total number of pupils in Bruno NOW?
What would happen if I sent 2 pupils outside?
FOR EXAMPLE,
There were pupils now 2 pupils have gone.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠 𝑖𝑛𝐵𝑟𝑢𝑛𝑜𝑖𝑠𝒑−𝟐
𝑇𝑜𝑡𝑎𝑙𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠𝑖𝑛𝐵𝑟𝑢𝑛𝑜=𝒑
How can I write the total number of pupils in Bruno NOW?
What would happen if I sent 10 pupils outside?
FOR EXAMPLE,
There were pupils now 10 pupils have gone.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠 𝑖𝑛𝐵𝑟𝑢𝑛𝑜𝑖𝑠𝒑−10
𝑇𝑜𝑡𝑎𝑙𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠𝑖𝑛𝐵𝑟𝑢𝑛𝑜=𝒑
How can I write the total number of pupils in Bruno NOW?
What would happen if 5 pupils joined our class?
FOR EXAMPLE,
There were pupils and now there are 5 MORE.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑢𝑝𝑖𝑙𝑠 𝑖𝑛𝐵𝑟𝑢𝑛𝑜𝑖𝑠𝒑+𝟓
Suppose Simone has a packet of biscuits and she doesn’t know how many biscuits it contains.
At break Simone opens the packet and eats 4 biscuits, she can write an expression for the number of biscuits left:
WRITING AN ALGEBRAIC EXPRESSION…
𝑇𝑜𝑡𝑎𝑙𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝐵𝑖𝑠𝑐𝑢𝑖𝑡𝑠=𝒃
b – 4
I think of a number…..
Let the letter represent my unknown number.
I then ADD 5 to my number.As an expression….
𝒌+𝟓
I think of the number 12.
Let the letter represent a unknown number.
I then my unknown number to 12.
As an expression….
𝟏𝟐+𝒙
I think of the number 50.
Let the letter represent a unknown number.
I then MINUS from 50.
As an expression….
𝟓𝟎−𝒂
I go to the supermarket and buy a pack of 5 ice creams and put them
in my freezer.Write an EXPRESSION for number of
ice creams.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑖𝑐𝑒𝑐𝑟𝑒𝑎𝑚𝑠=𝒚
𝒚+𝟓
The shopkeeper buys a box of 100 sweets.
Write an EXPRESSION for number of sweets.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑤𝑒𝑒𝑡𝑠=𝒔
𝒔+𝟏𝟎𝟎
The shopkeeper sells penny sweets in a day.
Write an EXPRESSION for number of sweets.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑤𝑒𝑒𝑡𝑠=𝟒𝟎𝟎
𝟒𝟎𝟎− 𝒔
In one day New Look sold 89 pairs of jeans.
Write an EXPRESSION for number of pairs of jeans.
𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑎𝑖𝑟𝑠𝑜𝑓 𝑗𝑒𝑎𝑛𝑠= 𝒋
𝒋−𝟖𝟗
On Monday New Look had a delivery of pairs of jeans.
Write an EXPRESSION for number of pairs of jeans.
250
𝟐𝟓𝟎+ 𝒋
I think of a number…..Let the letter represent my unknown number.
I then MULTIPLY my number by 2.As an expression….
𝒚×𝟐¿𝟐 𝒚
I think of a number…..Let the letter represent my unknown number.
I then MULTIPLY my number by 11As an expression….
𝒑×𝟏𝟏¿𝟏𝟏𝒑
Kerrie is on a game show and has won £
She then takes a chance and DOUBLES her money !
As an expression how much money has she won?
𝟐×𝒙¿𝟐 𝒙
Anjelica is on a game show and has won £
She then takes a chance and TRIPLES her money !
As an expression how much money has she won?
𝟑×𝒎¿𝟑𝒎
Nicole is on a game show and has won £
Unfortunately she takes a chance but loses so HALVES her
money!As an expression how much money has she won?
𝒅÷𝟐¿𝒅𝟐
As an expression how pens does Mary have now?
𝟐×𝒑¿𝟐𝒑
𝑀𝑎𝑟𝑦 h𝑎𝑠 𝑙𝑜𝑡𝑠𝑜𝑓 𝑝𝑒𝑛𝑠𝑖𝑛 h𝑒𝑟 𝑝𝑒𝑛𝑐𝑖𝑙𝑐𝑎𝑠𝑒 .What letter could we use to represent the
number of pens Mary has?
Maia then gives Mary her pens so Mary has DOUBLE the number of pens.
As an expression how pens does Mary have now?
Mary lends HALF her pens to Sian.
𝒘 ÷𝟐¿ 𝒘𝟐
Akokor built a tower metres high.
She then decides to TRIPLE the height of her tower!
As an expression how high is Akokor’s tower?
𝟑×𝒛¿𝟑 𝒛
Dabby has £ in her wallet.
Ciara has 5 TIMES as much money in her wallet.
As an expression how much money does Ciara have?
𝟓×𝒙¿𝟓 𝒙
Chimezie has pairs of socks.
Penny has 4 TIMES as many pairs of socks.As an expression how many socks does Penny have?𝟒×𝒉¿𝟒𝒉
Niamh has HALF as many pairs of socks as Chemizie?
As an expression how many socks does Niamh have?
𝒉÷𝟐¿𝒉𝟐
ALGEBRAIC EXPRESSION
WORDED EXPRESSION
ALGEBRAIC EXPRESSION
WORDED EXPRESSION
Georgia went Strawberry picking one summer. h𝑆 𝑒𝑝𝑖𝑐𝑘𝑒𝑑𝒎𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠
She ate 10 strawberries at Lunch. How many strawberries
does she have now?
Sian also went Strawberry picking with Georgia.𝑆𝑖𝑎𝑛𝑝𝑖𝑐𝑘𝑒𝑑𝒏𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠
Sian then picked 20 more strawberries.
How many strawberries does she have now?
- 10
+ 20
Sonya and Madalena went Strawberry picking too
𝑆𝑜𝑛𝑦𝑎𝑝𝑖𝑐𝑘𝑒𝑑𝒎 𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠𝑀𝑎𝑑𝑎𝑙𝑒𝑛𝑎𝑝𝑖𝑐𝑘𝑒𝑑𝒏𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠How many strawberries does do
they have altogether?
𝒎𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠 𝒏𝑠𝑡𝑟𝑎𝑤𝑏𝑒𝑟𝑟𝑖𝑒𝑠++
=𝒎+𝒏