Lesson Objective: To expand and simplify brackets.

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Lesson Objective: To expand and simplify brackets. 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

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

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

2(2t + 4) Expanding Brackets 4t x + 8 x To expand brackets, multiply everything inside the brackets by what is outside them x 2(2t + 4) 4t + 8 x Anne Gilleran

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

5(a – 7) Expanding Brackets 5a x - 35 x Pair To expand brackets, multiply everything inside the brackets by what is outside them x 5(a – 7) 5a - 35 x Anne Gilleran

3(p – 10) Expanding Brackets 3p x - 30 x Solo To expand brackets, multiply everything inside the brackets by what is outside them x 3(p – 10) 3p - 30 x 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

Find the mistakes: 1) 3(q + 6) = 3q + 6 2) 9(p + 4) = p + 36 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) = c² + 4 + c Anne Gilleran 11

Questions 5(y – 8) 4(3y + 2) 8(y – 9) 8(6y + 4) 3(3y + 5) -9(2y – 3) 7y(2y + 3m) Anne Gilleran

Answers Amber Green 5y - 40 12y + 8 8y - 72 48y + 32 9y + 15 -18y + 27 Red 3y + 18 4y + 8 9y + 54 3y - 6 5y - 10 3y + 39 Amber 5y - 40 8y - 72 9y + 15 20y + 35 48y - 24 -7y + 21 Green 12y + 8 48y + 32 -18y + 27 3y² + 15y 5y³ - 35y 14y² + 21ym Anne Gilleran

FRONT A B C D 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 FRONT A B C D Anne Gilleran

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

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

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

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

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

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

4y(3y – 5m) A) 12y - 5m B) 12y² - 20ym C) 12y – 20m D) 12y² - 20m Corners 4y(3y – 5m) A) 12y - 5m B) 12y² - 20ym C) 12y – 20m D) 12y² - 20m Anne Gilleran

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

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

Bingo 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 + ? 70 Anne Gilleran

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

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

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

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

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

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

Bingo 2(2n + ½) = ?n + 1 4 Anne Gilleran

Bingo 5n(n + 3) = 5n² + ?n 15 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 + ? 24 Anne Gilleran

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: Staying Well Communicating Being Creative Anne Gilleran