FACTORING EXPRESSIONS

• 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.

• What is factoring? • The opposite of distributing.• This turns an expression into a

term multiplying parentheses.

• 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.

• 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)

• Check your answer by distributing

Picture representation of factoring

• Factor:10m - 14

• Common factor is 2

• 2(5m – 7)

• Factor:3f + 12e - 15

• Common factor is 3

• 3(f + 4e – 5)

• Factor:5m – m²

• Hint: factor out a variable

• Common factor is m

• 5m - m²5×m - m×m

m(5 – m)

Socrative• Open up Safari or Chrome in your iPad• Go to www.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”

• Factor:8x+12

• 4(2x+3)

• Factor:21y-7

• 7(3y-1)

• Factor:6n+10+8p

• 2(3n+5+4p)

• Factor:-9a+18b+15c

• 3(-3a+6b+5c)OR-3(3a-6b-5c)

• Factor:x²+4x

• x(x+4)

Direct Station• We will use whiteboards/Educreations to write and

simplify expressions based on word problems

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 basedon your picture

• 2 groups of 3 triangles + 4 squares= 2(3triangles + 4 squares)

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.