1. FACTORING EXPRESSIONS

2. 6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply properties of operations to y + y + y to produce the equivalent expression 3y Objective: Understand how to combine terms with various operations Learning target: Answer at least 3 of the 4 factoring questions correctly on the exit ticket.

3. What is factoring? The opposite of distributing. This turns an expression into a term multiplying parentheses.

4. How do we factor an expression? Find a factor that can divide every term and put the factor outside of parentheses. Copy the original expression inside the parentheses, but divide each term by the common factor.

5. Factor: 15 + 12y 3 is a common factor of 15 and 12y, so that goes outside the parentheses. 15÷3 = 5 and 12y÷3 = 4y so those go inside the parentheses (use a + because the 4y is positive)

6. Check your answer by distributing

7. Picture representation of factoring

8. Factor: 10m - 14 Common factor is 2 2(5m – 7)

9. Factor: 3f + 12e - 15 Common factor is 3 3(f + 4e – 5)

10. Factor: 5m – m² Hint: factor out a variable Common factor is m 5m - m² 5×m - m×m m(5 – m)

11. Socrative Open up Safari or Chrome in your iPad Go to www.m.socrative.comwww.m.socrative.com For the Room Number, type in: MrPMath Click “Join Room” If you did it correctly, your screen should say, “Waiting for teacher to start next activity”

12. Factor: 8x+12 4(2x+3)

13. Factor: 21y-7 7(3y-1)

14. Factor: 6n+10+8p 2(3n+5+4p)

15. Factor: -9a+18b+15c 3(-3a+6b+5c) OR -3(3a-6b-5c)

16. Factor: x²+4x x(x+4)

17. Direct Station We will use whiteboards/Educreations to write and simplify expressions based on word problems

18. Collaborative/Skill-Building Station You will draw shapes/letters to represent expressions. You will then separate them into equal groups to represent factoring. Example: 6 triangles + 8 squares Find a way to separate the shapes into equal groups. Write the factored expression based on your picture 2 groups of 3 triangles + 4 squares = 2(3triangles + 4 squares)

19. Independent Station You will continue ST Math’s unit on solving equations. Those of you who already finished this unit will work on the negatives unit.