1. Linear Relationships Sudoku
Warm Up
Linear Relationships Sudoku

2. 2 8 4 6 7 3 5 1 9

3. Homework Questions

4. Evacuation route
Meeting location on the football field

5. Earthquake VOIP system will activate an Earthquake Drill.
Staff and students will Duck/Cover/Hold
Get under a desk or table. Stay away from computers, televisions, stacks of books, file cabinets, and other heavy objects.
Drop to knees, with back to the window, knees together, cover your head, and hold on to a table or chair leg.
If you are in a non-traditional classroom, move to an interior wall, drop to your knees, and cover your head.
Check Self

6. (Lockdown) Team Response: Medical emergency, non-threatening, activates School Emergency Team
Staff and students should return to their classrooms
Close the classroom door
Take attendance; account for students
Increase situational awareness
Business as usual inside the classroom
Team Response ends with a VOIP/ message – “All Clear”

7. Chapter 1 - Sections 5 through 8
Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Graphing a Quadratic Function
Quadratic Models
Complex Numbers
Key Terms
Imaginary Unit i
Complex Number
Complex Conjugates
Quadratic Equation
Completing the Square
Discriminant
Quadratic Function
Quadratic Model

8. 𝟐 𝒙 𝟐 −𝟕𝒙−𝟒=𝟎 𝟐𝒙+𝟏 𝒙−𝟒 =𝟎 𝟐𝒙+𝟏=𝟎 𝒐𝒓 𝒙−𝟒=𝟎 𝒙=− 𝟏 𝟐 𝒐𝒓 𝒙=𝟒 Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Use factoring if
a, b, and c are integers
and 𝑏 2 −4𝑎𝑐 is a perfect square.
𝟐 𝒙 𝟐 −𝟕𝒙−𝟒=𝟎
𝟐𝒙+𝟏 𝒙−𝟒 =𝟎
𝟐𝒙+𝟏=𝟎 𝒐𝒓 𝒙−𝟒=𝟎
𝒙=− 𝟏 𝟐 𝒐𝒓 𝒙=𝟒

9. 𝒙 𝟐 +𝟒𝒙+𝟏=𝟎 𝒙+ 𝟒 𝟐 𝟐 − 𝟒 𝟐 𝟐 +𝟏=𝟎 𝒙+𝟐 𝟐 −𝟒+𝟏=𝟎 Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Solve by completing the square if a = 1 and b is even.
(𝒙+ 𝒃 𝟐 ) 𝟐 − 𝒃 𝟐 𝟐 +𝒄=𝟎
𝒙 𝟐 +𝟒𝒙+𝟏=𝟎
𝒙+ 𝟒 𝟐 𝟐 − 𝟒 𝟐 𝟐 +𝟏=𝟎
𝒙+𝟐 𝟐 −𝟒+𝟏=𝟎

10. 𝒙+𝟐 𝟐 −𝟑=𝟎 𝒙+𝟐 𝟐 =𝟑 𝒙+𝟐=± 𝟑 𝒙=−𝟐+ 𝟑 𝒐𝒓 𝒙=−𝟐− 𝟑 Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Solve by completing the square if a = 1 and b is even. Continued
𝒙+𝟐 𝟐 −𝟑=𝟎
𝒙+𝟐 𝟐 =𝟑
𝒙+𝟐=± 𝟑
𝒙=−𝟐+ 𝟑 𝒐𝒓 𝒙=−𝟐− 𝟑

11. Use the quadratic formula 𝒙= −𝒃 ± 𝒃 𝟐 −𝟒𝒂𝒄 𝟐𝒂 otherwise.
Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Use the quadratic formula
𝒙= −𝒃 ± 𝒃 𝟐 −𝟒𝒂𝒄 𝟐𝒂
otherwise.
Online Notes & Practice Solving Quadratics

12. Key Terms
Discriminant
The value 𝑏 2 −4𝑎𝑐 for a quadratic equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
If 𝑏 2 −4𝑎𝑐>0, there are two real roots.
Two x-intercepts
If 𝑏 2 −4𝑎𝑐=0, there is one real root.
One x-intercept
If 𝑏 2 −4𝑎𝑐<0, there are two complex roots.
No x-intercepts

13. 𝒚=𝒂 𝒙 𝟐 +𝒃𝒙+𝒄 Main Ideas Graphing a Quadratic Function
If 𝑎>0, the graph is ∪shaped
If 𝑎<0, the graph is ∩shaped
The point 0,𝑐 is on the graph.
−𝑏+ 𝑏 2 −4𝑎𝑐 2𝑎 ,0 and −𝑏 − 𝑏 2 −4𝑎𝑐 2𝑎 ,0 are on the graph.
The equation of the axis of symmetry is x=− 𝑏 2𝑎
The vertex has x-coordinate − 𝑏 2𝑎 , plug in to get y

14. 𝒚= 𝒂 𝒙−𝒉 𝟐 +𝒌 If 𝑎>0, the graph is ∪shaped
Main Ideas
Graphing a Quadratic Function
𝒚= 𝒂 𝒙−𝒉 𝟐 +𝒌
If 𝑎>0, the graph is ∪shaped
If 𝑎<0, the graph is ∩shaped
The vertex is ℎ,𝑘 .
The axis is 𝑥=ℎ.

15. Main Ideas Quadratic Models
If you have a quadratic model, you can use the model to predict data values or to maximize or minimize the function To find the min or max, evaluate f(x) when 𝑥=− 𝑏 2𝑎 .
Example: In an electric circuit, the available power P in watts when a current of I amperes is flowing is given by 𝑃=110𝐼−11 𝐼 2
Find the maximum power the circuit can produce.
The max current occurs at 𝐼=− 𝑏 2𝑎
=− 110 2(−11) =5
𝑃=110 5 − =275 𝑊𝑎𝑡𝑡𝑠

16. (This is the homework for two class periods)
Worksheet for
Sections 1.5 through 1.8
Due Friday, September 7
(This is the homework for two class periods)