Warm Up −36 𝑥 2 5𝑥 Complete the Diamond 2. Multiply (2𝑥−5)(𝑥+4) I can use diamonds and rectangles to factor quadratics Warm Up Complete the Diamond 2. Multiply (2𝑥−5)(𝑥+4) −36 𝑥 2 3. Solve 𝑥+1 3𝑥−4 = 2 7 5𝑥
Warm Up Complete the Diamond 2. Multiply (2𝑥−5)(𝑥+4) −36 𝑥 2 5𝑥
Warm Up 3. Solve 𝑥+1 3𝑥−4 = 2 7
Homework Questions
Factoring 𝑥 2 +8𝑥+12 (𝑥+6)(𝑥+2)
Factoring 𝑥 2 +16𝑥+15 𝟏𝟓 𝟏𝟓 𝟏 𝟏𝟔 (𝑥+15)(𝑥+1)
Factoring 𝑥 2 −5𝑥−24 −𝟐𝟒 −𝟖 𝟑 −𝟓 (𝑥−8)(𝑥+3)
Check your answers on the back table Classwork Part A #1-6 Check your answers on the back table every 2 problems
Find a sock partner and a new seat
𝑥 2 +8𝑥 +12 (𝑥+2)(𝑥+6) What do you notice? What do you wonder? 2𝑥 6𝑥 12 𝑥 2 12 𝑥 2 𝑥 𝑥 2 𝑥 2 6𝑥 6𝑥 2𝑥 6𝑥 2 2𝑥 2𝑥 12 12 8𝑥 This slide to help students see connections between the standard form equation and the other pieces before they take notes and memorize the procedure 𝑥 6 (𝑥+2)(𝑥+6)
2𝑥 2 +9𝑥 −5 −10 𝑥 2 2𝑥 2𝑥 2 10𝑥 10𝑥 −1𝑥 −1 −1𝑥 −5 9𝑥 𝑥 5 (2𝑥−1)(𝑥+5)
Factoring a Quadratic Equation Steps Example: 𝟑 𝒙 𝟐 −𝟏𝟏𝒙−𝟒 Set up Fill in 𝟑 𝒙 𝟐 −𝟒 ∗( ) −𝟏𝟐 𝒙 𝟐 𝑓𝑖𝑟𝑠𝑡 𝑙𝑎𝑠𝑡 Students should return to their assigned seats. These notes should be done with the Guided Notes page −𝟏𝟏𝒙 middle term
Factoring a Quadratic Equation Steps Example: 𝟑 𝒙 𝟐 −𝟏𝟏𝒙−𝟒 Fill in Solve product −𝟏𝟐 𝒙 𝟐 𝟏𝒙 −𝟏𝟐𝒙 −𝟏𝟏𝒙 sum −𝟏𝟐 𝒙 𝟐 𝟑 𝒙 𝟐 −𝟏𝟐𝒙 These notes should be done with the Guided Notes page 𝟏𝒙 −𝟏𝟐𝒙 𝟏𝒙 −𝟒 −𝟏𝟏𝒙
Factoring a Quadratic Equation Steps Example: 𝟑 𝒙 𝟐 −𝟏𝟏𝒙−𝟒 Write answer as a product Factor Generic Rectangle 𝟑𝒙 𝟑 𝒙 𝟐 −𝟏𝟐𝒙 𝟏 𝟏𝒙 −𝟒 𝒙 −𝟒 These notes should be done with the Guided Notes page (3𝑥+1)(𝑥−4)
Factoring a Quadratic Equation Example 2: 𝟓 𝒙 𝟐 +𝟏𝟑𝒙−𝟔 −𝟑𝟎 𝒙 𝟐 𝒙 𝟓 𝒙 𝟐 −𝟐𝒙 𝟏𝟓𝒙 −𝟐𝒙 𝟑 𝟏𝟓𝒙 −𝟔 𝟏𝟑𝒙 𝟓𝒙 −𝟐 These notes should be done with the Guided Notes page (𝑥+3)(5𝑥−2)
Check your answers on the back table Classwork Part B #7-12 Part C #13-16 20 minutes Check your answers on the back table
Get a colored sheet of paper On your paper make a dot Fold your paper so that your edge touches your dot Keep folding until a pattern emerges
Homework Textbook: 8-16 through 8-18