Intro W10

• 1. Current Page: Intro W10 (1 of 13)
  2. Resources W10 (2 of 13)
  3. TN W10, Assignment (3 of 13)
  4. 8.1 Video Lesson, Assignment (4 of 13)
  5. 8.1 Practice, Assignment (5 of 13)
  6. 8.2 Video Lesson, Assignment (6 of 13)
  7. 8.2 Practice, Assignment (7 of 13)
  8. 8.3 Video Lesson, Assignment (8 of 13)
  9. 8.3 Practice, Assignment (9 of 13)
  10. 8.4 Video Lesson, Assignment (10 of 13)
  11. 8.4 Practice, Assignment (11 of 13)
  12. Exam 4, Assignment (12 of 13)
  13. Outro W10 (13 of 13)

        Intro W10

  •  Objectives

     

    Like rowing a boat, riding a bicycle is a situation in which going in one direction, downhill, is easy, but going in the opposite direction, uphill, can be more work. The trip to reach a destination may be quick, but the return trip whether upstream or uphill will take longer.

    Rational equations are used to model situations like these. In this chapter, we will work with rational expressions, solve rational equations, and use them to solve problems in a variety of applications.

    The sections for this week are:
    • 8.1 Simplify Rational Expressions
    • 8.2 Multiply and Divide Rational Expressions
    • 8.3 Add and Subtract Rational Expressions with a Common Denominator
    • 8.4 Add and Subtract Rational Expressions with Unlike Denominators

   

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

  • • 8.1
    • 8.2
    • 8.3
    • 8.4

     Learning Outcomes

    In this section, you will:

    • Determine the values for which a rational expression is undefined
    • Evaluate rational expressions
    • Simplify rational expressions
    • Simplify rational expressions with opposite factors

     Intro

    In Chapter 1, we reviewed the properties of fractions and their operations. We introduced rational numbers, which are just fractions where the numerators and denominators are integers, and the denominator is not zero.

    In this chapter, we will work with fractions whose numerators and denominators are polynomials. We call these rational expressions.

     Learning Outcomes

    In this section, you will:

    • Multiply rational expressions
    • Divide rational expressions

     Intro

    To multiply rational expressions, we do just what we did with numerical fractions. We multiply the numerators and multiply the denominators. Then, if there are any common factors, we remove them to simplify the result.

     Learning Outcomes

    In this section, you will:

    • Add rational expressions with a common denominator
    • Subtract rational expressions with a common denominator
    • Add and subtract rational expressions whose denominators are opposites

     Intro

    What is the first step you take when you add numerical fractions? You check if they have a common denominator. If they do, you add the numerators and place the sum over the common denominator. If they do not have a common denominator, you find one before you add.

    It is the same with rational expressions. To add rational expressions, they must have a common denominator. When the denominators are the same, you add the numerators and place the sum over the common denominator.

     Learning Outcomes

    In this section, you will:

    • Find the least common denominator of rational expressions
    • Find equivalent rational expressions
    • Add rational expressions with different denominators
    • Subtract rational expressions with different denominators

     Intro

    When we add or subtract rational expressions with unlike denominators we will need to get common denominators. If we review the procedure we used with numerical fractions, we will know what to do with rational expressions.

     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 W10"

     Assignments

    • Take Notes Week 10         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 10          Due Saturday 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  10              Due Sunday night 11:59pm.
    •  

    Directions

    • There are 4 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 4

      Exam 4 will assess your knowledge of Chapter 6 and 7. 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 Friday morning and closes Saturday 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 assignments are Friday, Saturday, and Sunday.

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

  A 5% per day penalty applies for late work if you'll do it until Tuesday night.