Unit 9
Quadratic Functions and Equations
Unit 9Quadratic Functions and Equations |
|
|
|
Functions Solving Equations and
Inequalities Modeling |
|
The NEW graphing calculator that
is changing the world!! |
|
||
| Lesson/Objective | Supplemental Lessons | On-line Practice | Homework |
| 9-1
Quadratic Graphs and Their Properties Objective: To graph quadratic functions of the form y=ax2 and y=ax2+c. Essential Understandings: |
 Video Tutors Graphing a quadratic function using a table, y = ax2 Graphing a quadratic function using a table, y = ax2 + c Using a quadratic function to model the height of an object - Example 1 |
 self-check quiz |
You can use a graphing calculator to support your
work BOTH #9-1 & #9-2 DUE ON THE SAME DAY!! The NEW graphing calculator that
is changing the world!!
|
| 9-2
Quadratic Functions Objective: To graph quadratic functions of the form y=ax2+bx+c. Essential Understandings: |
Video Tutors Graphing a quadratic function, y = ax2 + bx + c Using a quadratic function to model the height of an object - Example 2 |
self-check quiz |
|
| 9-3
Solving Quadratic Equations Objective: To solve quadratic equations by graphing and using square roots Essential Understandings: |
Video Tutors Solving quadratic equations by graphing Solving
quadratic equations using square roots
|
self-check quiz |
BOTH
#9-3 & #9-4 DUE ON THE SAME DAY!!
hw#9-3: Due hw#9-4: Due
|
| 9-4
Factoring to Solve Quadratic Equations Objective: To solve quadratic equations by factoring and using the zero-product property Essential Understandings:Quadratic equations can be solved in a variety of methods, including factoring and using the zero-product property. |
Video Tutors |
self-check quiz
|
|
|
QUIZ on sections 9-1 thru 9-4 |
|||
| 9-5
Completing the Square Objective: To solve quadratic equations by completing the square Essential Understandings: REAL ALGEBRA-TICIANS COMPLETE THE SQUARE!!! |
Video Tutors Solving quadratic equations using completing the square Solving quadratic equations using completing the square when a does not equal 1 Worked Examples: |
self-check quiz
|
hw#9-5: Due Fri May4 (B) Mon May 7 (A) pg 579 #1-6,7-17 Odd
|
| 9-6
The Quadratic Formula and the Discriminant Objective: To solve quadratic equations using the QUADRATIC FORMULA Essential Understandings:When a quadratic equation cannot be solved by factoring and COMPLETING THE SQUARE seems difficult (code for: "you are a weenie") the QUADRATIC FORMULA is a method that will work for ANY quadratic equation. |
Video Tutors Solving quadratic equations using the quadratic formula Solving real-world problems using the quadratic formula Using the Discriminant to find the number of solutions and solve problems Choosing the appropriate method to solve quadratic equations |
self-check quiz
|
hw#9-6: Due Tues May8 (B) Weds May 9 (A) pg 586-587 Make sure you understand the problems on worksheets 9-4 and 9-5...
just select a few of those problems... we didn't discuss the "discriminant"
(b^2 - 4ac) in class (we will next time), but you can read about it in the
book. Feel free to ask me questions as well. |
| UNIT TEST REVIEW | UNIT 9 EXTRA PRACTICE | hw#9-7: Due Thurs May10 (B) Fri May 11 (A) BE SURE TO READ (a novel concept) Problem 3 on pg 585. pg 587 #29-40 ALL A SMART STUDENT would begin to look at pages 603-605... the UNIT 9 TEST will be on Sections 9-1 thru 9-6 ONLY. If you try the Chapter Test on pg 607 IGNORE questions #19-22 |
|
| UNIT
9 TEST: Sections 9-1 thru 9-6 ONLY Monday, May 14th (B) Tuesday, May 15th (A) |
|||
| SKIP
sections 9-7 & 9-8 (left iu place BELOW just in case you can't resist!!) |
|||
| 9-7
Linear, Quadratic, and Exponential Models Objective: To choose a linear, quadratic, or exponential model for data. Essential Understandings:A good understanding the various types of algebraic functions is useful so that mathematical models can be applied to real-world data in an appropriate manner. |
Video Tutors Modeling data using a linear, quadratic, or exponential model - Example 1 Modeling data using a linear, quadratic, or exponential model - Example 2
|
self-check quiz
|
hw#9-7: Due pg |
| 9-8
Systems of Linear and Quadratic Equations Objective: To solve systems of linear and quadratic equations. Essential Understandings:Systems of linear and quadratic equations can be solved graphically and algebraically. This type of system can have two solutions, one solution, or no solutions. |
Video Tutors |
self-check quiz
|
hw#9-8: Due pg |
