The document provides an agenda and lesson plan for a class that includes: - A warm-up and review for a test on using square roots to solve quadratics - Taking a test - All class work being due It then gives examples and steps to solve quadratic equations by finding the roots and graphing the equation, writing a quadratic equation given its roots, and working through sample problems.

1. April 5, 2013
Today:
Warm-Up (7)
Review for Test Today:
Take Test
All Class Work Due Today
Using Square Roots to Solve Quadratics

6. Warm-Up/Review:

7. Warm-Up/Review:

8. Warm-Up/Review:
Find the roots and graph: y = -x2 + 4x - 4
If it's easier for you, multiply by -1. The result is: x2 - 4x +
4. Factor if you can to find the roots, find the x vertex
coordinate, then change the signs of ALL Y values when
plotting points.

9. 1. Multiply by -1 to get: x2 -x
2. Factor the GCF: x(x - 1)
3. Roots are x = 0, x = 1
4. Now the vertex: x = .5
5. Plug in for y, change sign.
6. Plot points, change all 'y' signs.

10. 1. Multiply by -1 to get: x2 + 2x - 3
•
2. Factor : (x + 3) (x - 1)
3. Roots are: -3, 1
• •
4. Now the vertex:
5. Plug in for y, change sign.
Vertex coordinates are: -1, 4
7. Plot points, change all 'y' signs.

11. Warm-Up/Review:

12. Write a Quadratic Equation Given Roots
If all you had were the roots of a quadratic equation.
Could you write the equation that produced the roots?
The roots of a quadratic equation are -2 and 6. Write a
quadratic model with leading coefficient of 1.
Work backwards: start with your answer
x = -2 or x = 6 solutions/roots
x + 2 = 0 or x – 6 = 0 equation for roots
(x + 2)(x - 6) = 0 quadratic equation
x² - 6x + 2x – 12 = 0 distribute using FOIL
x² - 4x – 12 = 0 combine like terms
This is the quadratic equation with roots {-2, 6}

13. Write a Quadratic Equation Given Roots
The roots of a quadratic equation are 7 and - 1. Write a
quadratic model with leading coefficient of 1.
x=7 or x=-1 solutions/roots
x - 7 = 0 or x + 1 = 0 equation for roots
x² - 6x – 7 = 0 combine like terms

18. (4)

19. Class Work