Collecting Terms

1. Mr Hill
Objective: to be able to collect terms using
addition and subtraction (Level 5).
By the end of the lesson:
All: will be able to gather terms to simplify an
expression using addition.
Most: will be able to gather terms to simplify an
expression using subtraction.
Some:will be able to gather terms to simplify an
expression using both addition and subtraction.

2. Starter
•
I go to the shop and I buy 5 cans of Xenon
•
I then go to another shop and buy another 3
cans of Xenon.
•
I go to the third shop and buy 2 more cans of
Xenon.
•
Is there an easier way to buy all the cans of
Xenon ?

3. Gathering like terms
•
2c + 5d + 4c + 2d
•
3e + 2f + 5e + 7f
•
4g + 6h – 2g – 3h
•
3j + 2k – 5j - k

4. Questions
•
Green
1. a + a + a + a=
2. b + b + b=
3. c + c + 2c=
4. d + 2d + 3d=
5. 4e + 2e + 5e=
6. f + 3f + 6f=
7. 3g + 2h + 5g + 2h=
8. 5j + 3k + 2j + 2k=
• Amber
1. a + b + a + b=
2. c + d + c + d + c=
3. e + 2f + 2e + 2f=
4. 3g + 2h + 2g + h=
5. 5j + 2k + 2j + 3k=
6. 4m + 3n + 2m + 6n=
7. 6p + 3r – 4p – r=
8. 4s + 2t – 6s – t=
• Red
1. 4a + 3b – 2a + b=
2. 3c + 6d + 2c – 4d=
3. 5e + 3f – 4e – 2f=
4. 3g + 5h – 7g – 3h=
5. 6j – 3k – 2j – 2k=
6. 3m + 4n – 3m – 3n=
7. 4p – 2r – 7p + 4r=
8. 4s + 3t – 6s – 8t =

5. Check your Answers
•
Green
1. 4a
2. 3b
3. 4c
4. 6d
5. 11e
6. 10f
7. 8g + 4h
8. 7j + 5k
• Amber
1. 2a + 2b
2. 3c + 2d
3. 3e + 4f
4. 5g + 3h
5. 7j + 5k
6. 6m + 9n
7. 2p + 2r
• -2s + t
• Red
1. 2a + 4b
2. 5c + 2d
3. e + f
4. -4g + 2h
5. 4j – 5k
6. n
• -3p + 2r
• -2s – 5t

6. Which of these expressions
equals 7b?
5b + 2b 9b – 3b + b 4b + 7b – 2b 9b – 6b + 3b
10b – 4b 11b – 4b 8b + 2b – 3b b + 5b + 2b
b + 2b + b 13b – 5b – 2b 15b – 9b + b b + 2b + 4b

7. Next time.....
•
We need to work out
•
a + b + c + d
•
We already know b+c+d = a
•
Does a+b+c+d= 2a ?