1. 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

2. Warm Up
Complete the Diamond
2. Multiply
(2𝑥−5)(𝑥+4)
−36 𝑥 2 5𝑥

3. Warm Up
3. Solve
𝑥+1 3𝑥−4 = 2 7

4. Homework Questions

5. Factoring
𝑥 2 +8𝑥+12
(𝑥+6)(𝑥+2)

6. Factoring
𝑥 2 +16𝑥+15 𝟏𝟓 𝟏𝟓 𝟏 𝟏𝟔
(𝑥+15)(𝑥+1)

7. Factoring
𝑥 2 −5𝑥−24
−𝟐𝟒 −𝟖 𝟑 −𝟓
(𝑥−8)(𝑥+3)

8. Check your answers on the back table
Classwork
Part A #1-6
Check your answers on the back table
every 2 problems

9. Find a sock partner and a new seat

10. 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)

11. 2𝑥 2
+9𝑥 −5
−10 𝑥 2 2𝑥
2𝑥 2
10𝑥
10𝑥
−1𝑥 −1
−1𝑥 −5 9𝑥 𝑥 5
(2𝑥−1)(𝑥+5)

12. 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

13. 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

14. 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)

15. 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)

16. 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

17. 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

18. Homework
Textbook:
8-16 through 8-18