Intro W15

• •  Objectives

  • The sections for this week are:
    • 10.2 Solve Quadratic Equations by Completing the Square
    • 10.3 Solve Quadratic Equations Using the Quadratic Formula
    • 10.4 Solve Applications Modeled by Quadratic Equations
    • 10.5 Graphing Quadratic Equations in Two Variables

   

  1. Current Page: Intro W15 (1 of 15)
  2. Resources W15 (2 of 15)
  3. TN W15, Assignment (3 of 15)
  4. 10.2 Video Lesson, Assignment (4 of 15)
  5. 10.2 Practice, Assignment (5 of 15)
  6. 10.3 Video Lesson, Assignment (6 of 15)
  7. 10.3 Practice, Assignment (7 of 15)
  8. 10.4 Video Lesson, Assignment (8 of 15)
  9. 10.4 Practice, Assignment (9 of 15)
  10. 10.4 Video Lesson, Assignment (10 of 15)
  11. 10.4 Practice, Assignment (11 of 15)
  12. 10.5 Video Lesson, Assignment (12 of 15)
  13. 10.5 Practice, Assignment (13 of 15)
  14. Exam 6, Assignment (14 of 15)
  15. Outro W15 (15 of 15)

        Intro W15

   Intro and Learning Objectives (click on all tabs to see all sections)

  • • 10.2
    • 10.3
    • 10.4
    • 10.5

     Learning Outcomes

    In this section, you will:

    • Complete the square of a binomial expression
    • Solve quadratic equations of the form x2+bx+c=0 by completing the square
    • Solve quadratic equations of the form ax2+bx+c=0 by completing the square

     Intro

    So far, we have solved quadratic equations by factoring and using the Square Root Property. In this section, we will solve quadratic equations by a process called ‘completing the square.

     Learning Outcomes

    In this section, you will:

    • Solve quadratic equations using the quadratic formula
    • Use the discriminant to predict the number of solutions of a quadratic equation
    • Identify the most appropriate method to use to solve a quadratic equation

     Intro

    When we solved quadratic equations in the last section by completing the square, we took the same steps every time. By the end of the exercise set, you may have been wondering ‘isn’t there an easier way to do this?’ The answer is ‘yes.’ In this section, we will derive and use a formula to find the solution of a quadratic equation.

    The solutions to a quadratic equation of the form $ax^2+bx+c=0$ are given by the formula:

    \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

     

     Learning Outcomes

    In this section, you will:

    • Solve applications modeled by Quadratic Equations

     Intro

    We have solved number applications that involved consecutive even integers and consecutive odd integers by modeling the situation with linear equations. Some applications of consecutive odd integers or consecutive even integers are modeled by quadratic equations.

     Learning Outcomes

    In this section, you will:

    • Recognize the graph of a quadratic equation in two variables
    • Find the axis of symmetry and vertex of a parabola
    • Find the intercepts of a parabola
    • Graph quadratic equations in two variables
    • Solve maximum and minimum applications

     Intro

    We have graphed equations of the form Ax+By=C. We called equations like this linear equations because their graphs are straight lines.

    Now, we will graph equations of the form y=ax2+bx+c. We call this kind of equation a quadratic equation in two variables.

   Readings

  1. Text: Read the sections from Openstax book Links to an external site. (Links to an external site.)
  2. Videos: Watch all the videos from "Resources W15"

   Assignments

  • Take Notes Week 15         Due Friday night.
    

  Directions

  •  Each section is accompanied by a Handout. Each Handout contains a few definitions, a few "How To" explanations, examples, and "Try It" exercises. Using the structure of the handout you have to write your own notes. Your notes must contain:

  • • Your name
    • The name of the section
    • Definitions and "How To" from the provided handout (this is optional, however, it will be a good idea to have the complete notes)
    • Everywhere there is a "Read Ex nr..." you have to read the example from the ebook and write in your notes : "I read the Ex nr..." . The link for the section in the ebook is provided at the bottom of the page.
    • You have to solve ALL "Try It" exercises.

  After you complete your notes you have to submit them. See Take Notes Methods. 

   

  • Video quizzes Week 15          Due Friday night 11:59pm.

  Directions

  • To learn the material for this sections, take notes while watching each video and then demonstrate what you learned by doing the exercise below it.

   

  • Homework Week  15              Due Friday night 11:59pm.
  •  

  Directions

  • There are 5 Practice  Homework this week. This are online Homework but you do not have to leave Canvas. Just click on each link, answer the questions, and came back for the next section. There is no partial credit, each question is either 100% good or not. However you have unlimited attempts for each question. A 5% per day penalty applies for Late work if you'll do it until Tuesday night. After that the Homework will be open only for practice.

   

  • Exam 6

    Exam 6 will assess your knowledge of Chapter 9 and 10. Be sure you have completed the Reading/Video Assignments as well as the Homework Assignments for these sections before you attempt the exam.

    The Homework assignments in particular will prepare you to do well on the exam, not only because they will help you master the material, but also because you will be familiar with entering answers in a way that can be read by the software. Be sure to use the same entry methods you used on the homework for notation, graphing, and equation-writing on this quiz.

    Resources

    Things You May Use for this exam: hand-written notes, calculator, scratch paper, writing implement, eraser.

    Things you may NOT use for this quiz: other people, anything else on your phone, anything else on your computer, anything not mentioned in the list of Things You May Use. I recommend that you put your phone away (or in airplane mode if you’re using it as a calculator) so it doesn’t distract you.

    If you have questions on the exam, please send me an Inbox message right away.

    Exam Settings

    • The 48-hour exam window opens Thursday morning and closes Friday night night. I recommend that you not wait until the last hour to take the test as servers can get busy then. 
    • You will have one attempt on this exam. 
    • The time limit is 120 minutes, which must be completed before the deadline on Sunday at midnight.

   

  The due dates for all assignments is Friday.

  However, you can submit them until Monday night next week.

  A 5% per day penalty applies for late work.