Understanding Algebra: Expressions, Equations, and Paperclips

Algebra Maths with letters

Algebra Algebra Starter: How many paperclips? 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 Paperclips How many paperclips in the pot? n n

Paperclips Paperclips What if I took 2 out? n n- -2 2

Paperclips Paperclips 5c 5c What if I added 4? n+4 n+4

Paperclips Paperclips What if I took 12 out? n n- -12 12

Paperclips Paperclips What if I added 100? n+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? 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 We can use letters to help us write expressions 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 Paperclips What if I added another pot that has same number of pins? n+n n+n 2xn 2xn 2n 2n

Paperclips Paperclips What if I added 2 more pots that have the same number of pins? 3xn 3xn 3n 3n n+n+n 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 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 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 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 c + 5 1. There are c c cars in a car park, then 5 5 more cars arrive s s - - 6 6 2. There are s s sweets in a box, then someone eats 6 6 of them 3. There are 4 4 pupils in the canteen, then n n more arrive 4 + n 4 + n r r - - 2 2 4. Mrs Collins is r r years old, her brother is 2 years younger 12 12 - - n n 5. A number (n) less than 12 6. Tony had 15 stickers. He gave g stickers to his friends. How 15 15 - - g g many stickers does have left? (5xn) = (5n) (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) (5+n) 3 3

STAR Question 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? Plenary: True or False? An algebraic An algebraic You can use any You can use any expression expression letters in algebraic letters in algebraic is an expression like is an expression like expressions expressions being happy or sad being happy or sad

Plenary: Plenary: True or False? True or False? n + 5 is the n + 5 is the n n - - 5 is the 5 is the same as 5 +n same as 5 +n same as 5 same as 5 - - n n