Mastering Algebra: Expanding and Simplifying Brackets with Anne Gilleran

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EXPANDING
BRACKETS
 
LESSON OBJECTIVE:
TO EXPAND
AND SIMPLIFY BRACKETS.
 
2(b + 3)
 
Anne Gilleran
 
Learning Outcome:
Algebra Functions 3 (AF.3 (a) (i) (ii) (iii): Multiply
Expressions of the Form a (bx + c)
LESSON OBJECTIVES
 
I 
will understand what expanding brackets means
 
 
I 
will be able to expand brackets involving an expression with
addition and subtraction
 
 
I 
will be able to expand and simplify brackets
Anne Gilleran
 
2(b + 3) = 2b + 6
 
THINK – PAIR -
SHARE
 
 by Unknown Author is licensed under
CC BY-NC-SAThis Photo
 
Any ideas how we get the following answer?
 
Anne Gilleran
EXPANDING BRACKETS
 
To expand brackets, multiply everything inside the
brackets by what is outside them
 
4(a + 6)
 
x
 
4a
 
x
 
 + 24
Anne Gilleran
EXPANDING BRACKETS
To expand brackets, multiply everything inside the
brackets by what is outside them
Expand:    4(a + 6)
 
4a
 
+24
 
4(a + 6) = 4a + 24
Anne Gilleran
EXPANDING BRACKETS
To expand brackets, multiply everything inside the
brackets by what is outside them
 
2(2t + 4)
 
x
 
4t
 
x
 
+ 8
Anne Gilleran
EXPANDING BRACKETS
To expand brackets, multiply everything inside the
brackets by what is outside them
 
9(c + 3)
 
x
 
9c
 
x
 
 + 27
Team
Anne Gilleran
EXPANDING BRACKETS
To expand brackets, multiply everything inside the
brackets by what is outside them
 
5(a – 7)
 
x
 
5a
 
x
 
 - 35
Pair
Anne Gilleran
EXPANDING BRACKETS
To expand brackets, multiply everything inside the
brackets by what is outside them
 
3(p – 10)
 
x
 
3p
 
x
 
 - 30
Solo
Anne Gilleran
ON YOUR MINI
WHITEBOARDS
 
2(r + 6)
2r + 12
5(n + 5)
5n + 25
8(p - 3)
8p – 24
6(n - 2)
6n - 12
 
 
p(p - 5)
p² - 5p
 
3t(t + 7)
3t² + 21t
This Photo
 by Unknown Author is
licensed under 
CC BY-NC-SA
Anne Gilleran
S
P
O
T
 
T
H
E
 
M
I
S
T
A
K
E
1) 
3(q + 6) = 3q + 6
2) 
9(p + 4) = p + 36
3) 
6(y - 5) = 6y – 11
4) 
8(w - 3) = w + 24
5) 
c(c + 4) = c² + 4 + c
Find the mistakes:
Anne Gilleran
1.
3(y + 6)
2.
4(y + 2)
3.
9(y + 6)
4.
3(y – 2)
5.
5(y – 2)
6.
3(y + 13)
1.
5(y – 8)
2.
8(y – 9)
3.
3(3y
 + 5)
4.
5(4y
 + 7)
5.
8(6y – 3)
6.
-7(y – 3)
1.
4(3y + 2)
2.
8(6y + 4)
3.
-9(2y
 – 3)
4.
3y(y
 + 5)
5.
5y
(y² – 7)
6.
7y(2y + 3m)
 
Questions
 
Anne Gilleran
Red
 
1.
3y + 18
2.
4y + 8
3.
9y + 54
4.
3y - 6
5.
5y - 10
6.
3y + 39
Amber
 
1.
5y - 40
2.
8y - 72
3.
9y + 15
4.
20y + 35
5.
48y - 24
6.
-7y + 21
Green
 
1.
12y + 8
2.
48y + 32
3.
-18y + 27
4.
3y²
 + 15y
5.
5y³ - 35y
6.
14y² + 21ym
 
Answers
 
Anne Gilleran
 
When you have the following questions
Answered, go the corner of the room
Which matches your answer. These
Questions can also be answered on kahoot
 (
https://play.kahoot.it/#/?quizId=317ed28b-ac87-4058-8f5b-
b35cfb8f3a70
 
Anne Gilleran
4(y + 2)
B) y + 8
A) 4y + 2
D) 6y
C) 4y + 8
Corners
Anne Gilleran
4(y – 5)
B) 4y - 9
A) 4y - 5
D) 4y - 20
C) 4y + 20
Corners
Anne Gilleran
7(y - 9)
B) 7y - 63
A) 7y - 9
D) 7y - 16
C) 7y - 54
Corners
Anne Gilleran
3(4 – y)
B) 12 – 3y
A) 3y - 12
D) 7 - y
C) 12 - y
Corners
3(2y + 2)
B) 6y - 6
A) 6y + 6
D) 6y + 2
C) 5y + 6
Corners
Anne Gilleran
6(3y – 5)
B) 18y + 30
A) 6y - 30
D) 18y - 30
C) 6y + 30
Corners
Anne Gilleran
4y(3y – 5m)
B) 12y² - 20ym
A) 12y - 5m
D) 12y² - 20m
C) 12y – 20m
Corners
Anne Gilleran
Get into groups of three.
Number each person 1-3.
 
Using your mini whiteboards:
 
Number 1 must teach the rest of the group
how to do Q1
Then, Number 2 must teach the rest of the
group how to do Q2
Lastly, Number 3 must teach the rest of the
group how to do Q3.
This Photo
 by Unknown Author is licensed under
CC BY-SA
Anne Gilleran
Question 1
 
 
3(y + 2)
Question 2
 
 
5(y - 11)
Question 3
 
 
6y(y - 8)
 
Anne Gilleran
 
Draw a 3 x 3 grid as shown below:
 
Place any 9 numbers below into the grid (no repeats)
 
Anne Gilleran
Bingo
  3(n + 1) = 3n + ?
 
3
Anne Gilleran
Bingo
  5(n + 2) = ?n + 10
 
5
Anne Gilleran
Bingo
  10(n + 7) = 10n + ?
 
7
0
Anne Gilleran
Bingo
  3(n + 6) = 3n + ?
 
1
8
Anne Gilleran
Bingo
  6(-7 + n) = ? + 6n
 
-
4
2
Anne Gilleran
Bingo
  5(2n + 11) = ?n + 55
 
1
0
Anne Gilleran
Bingo
  ?(n + 2) = 6n + 12
 
6
Anne Gilleran
Bingo
  ?(4n + 1) = 8n + 2
 
2
Anne Gilleran
Bingo
  -2(12 + n) = ? – 2n 
 
-
2
4
Anne Gilleran
Bingo
  2(2n + ½) = ?n + 1 
 
4
Anne Gilleran
Bingo
  5n(n + 3) = 5n² + ?n 
 
1
5
Anne Gilleran
Bingo
  10(n + ½) = 10n + ? 
 
5
Anne Gilleran
Bingo
  7(n - 3) = ?n - 21 
 
7
Anne Gilleran
Bingo
  ?(2n + 4) = 18n + 36 
 
9
Anne Gilleran
Bingo
  8(n + 3) = 8n + ? 
 
2
4
Anne Gilleran
 
REFLECT ON YOUR
LEARNING:
 
Skills I have used:
 
Working with others
 
Managing Information & Thinking
 
Managing Myself
 
Staying Well
 
Communicating
 
Being Creative
 
Confident
 
Need more
practice
 
Not yet there
 
Anne Gilleran
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Explore the concept of expanding and simplifying brackets in algebra with Anne Gilleran as your guide. Understand the process, practice with examples, and enhance your skills in multiplying expressions effectively.


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  1. EXPANDING BRACKETS LESSON OBJECTIVE: TO EXPAND AND SIMPLIFY BRACKETS. 2(b + 3) Learning Outcome: Algebra Functions 3 (AF.3 (a) (i) (ii) (iii): Multiply Expressions of the Form a (bx + c) Anne Gilleran

  2. LESSON OBJECTIVES I will understand what expanding brackets means I will be able to expand brackets involving an expression with addition and subtraction I will be able to expand and simplify brackets Anne Gilleran

  3. Anne Gilleran Any ideas how we get the following answer? 2(b + 3) = 2b + 6 THINK PAIR - SHARE This Photo by Unknown Author is licensed under CC BY-NC-SA

  4. EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them x 4(a + 6) 4a + 24 x Anne Gilleran

  5. EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them Expand: 4(a + 6) x 4 a 4a +6 +24 4(a + 6) = 4a + 24 Anne Gilleran

  6. EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them x 2(2t + 4) 4t + 8 x Anne Gilleran

  7. Team EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them x 9(c + 3) 9c + 27 x Anne Gilleran

  8. Pair EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them x 5(a 7) 5a - 35 x Anne Gilleran

  9. Solo EXPANDING BRACKETS To expand brackets, multiply everything inside the brackets by what is outside them x 3(p 10) 3p - 30 x Anne Gilleran

  10. ON YOUR MINI WHITEBOARDS 2(r + 6) 2r + 12 5(n + 5) 5n + 25 8(p - 3) 8p 24 6(n - 2) 6n - 12 p(p - 5) p - 5p 3t(t + 7) 3t + 21t Anne Gilleran

  11. SPOT THE MISTAKE Find the mistakes: 1) 3(q + 6) = 3q + 6 2) 9(p + 4) = p + 36 3) 6(y - 5) = 6y 11 4) 8(w - 3) = w + 24 5) c(c + 4) = c + 4 + c Anne Gilleran

  12. Questions 5(y 8) 8(y 9) 3(3y + 5) 5(4y + 7) 8(6y 3) -7(y 3) 4(3y + 2) 8(6y + 4) -9(2y 3) 3y(y + 5) 5y(y 7) 7y(2y + 3m) 1. 2. 3. 4. 5. 6. 3(y + 6) 4(y + 2) 9(y + 6) 3(y 2) 5(y 2) 3(y + 13) 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. Anne Gilleran

  13. Answers Amber Green Red 5y - 40 8y - 72 9y + 15 20y + 35 48y - 24 -7y + 21 1. 2. 3. 4. 5. 6. 3y + 18 4y + 8 9y + 54 3y - 6 5y - 10 3y + 39 12y + 8 48y + 32 -18y + 27 3y + 15y 5y - 35y 14y + 21ym 1. 1. 2. 2. 3. 3. 4. 5. 4. 5. 6. 6. Anne Gilleran

  14. When you have the following questions Answered, go the corner of the room Which matches your answer. These Questions can also be answered on kahoot (https://play.kahoot.it/#/?quizId=317ed28b-ac87-4058-8f5b- b35cfb8f3a70 B C D FRONT A Anne Gilleran

  15. Corners B C 4(y + 2) D FRONT A A) 4y + 2 B) y + 8 C) 4y + 8 D) 6y Anne Gilleran

  16. Corners 4(y 5) A) 4y - 5 B) 4y - 9 C) 4y + 20 D) 4y - 20 Anne Gilleran

  17. Corners 7(y - 9) B) 7y - 63 A) 7y - 9 C) 7y - 54 D) 7y - 16 Anne Gilleran

  18. Corners 3(4 y) B) 12 3y A) 3y - 12 C) 12 - y D) 7 - y

  19. Corners 3(2y + 2) B) 6y - 6 A) 6y + 6 C) 5y + 6 D) 6y + 2 Anne Gilleran

  20. Corners 6(3y 5) B) 18y + 30 A) 6y - 30 C) 6y + 30 D) 18y - 30 Anne Gilleran

  21. Corners 4y(3y 5m) B) 12y - 20ym A) 12y - 5m C) 12y 20m D) 12y - 20m Anne Gilleran

  22. Activity Get into groups of three. Number each person 1-3. This Photo by Unknown Author is licensed under CC BY-SA Using your mini whiteboards: Number 1 must teach the rest of the group how to do Q1 Then, Number 2 must teach the rest of the group how to do Q2 Lastly, Number 3 must teach the rest of the group how to do Q3. Anne Gilleran

  23. Question 1 3(y + 2) Question 2 5(y - 11) Question 3 6y(y - 8) Anne Gilleran

  24. Bingo Draw a 3 x 3 grid as shown below: Place any 9 numbers below into the grid (no repeats) Anne Gilleran

  25. Bingo 3(n + 1) = 3n + ? 3 Anne Gilleran

  26. Bingo 5(n + 2) = ?n + 10 5 Anne Gilleran

  27. Bingo 10(n + 7) = 10n + ? 70 Anne Gilleran

  28. Bingo 3(n + 6) = 3n + ? 18 Anne Gilleran

  29. Bingo 6(-7 + n) = ? + 6n -42 Anne Gilleran

  30. Bingo 5(2n + 11) = ?n + 55 10 Anne Gilleran

  31. Bingo ?(n + 2) = 6n + 12 6 Anne Gilleran

  32. Bingo ?(4n + 1) = 8n + 2 2 Anne Gilleran

  33. Bingo -2(12 + n) = ? 2n -24 Anne Gilleran

  34. Bingo 2(2n + ) = ?n + 1 4 Anne Gilleran

  35. Bingo 5n(n + 3) = 5n + ?n 15 Anne Gilleran

  36. Bingo 10(n + ) = 10n + ? 5 Anne Gilleran

  37. Bingo 7(n - 3) = ?n - 21 7 Anne Gilleran

  38. Bingo ?(2n + 4) = 18n + 36 9 Anne Gilleran

  39. Bingo 8(n + 3) = 8n + ? 24 Anne Gilleran

  40. REFLECT ON YOUR LEARNING: Confident Need more practice Not yet there I understand what expanding brackets mean I am able to expand brackets involving an expression with addition and subtraction I can expand and simplify brackets Working with others Managing Information & Thinking Managing Myself Skills I have used: Being Creative Staying Well Communicating Anne Gilleran

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