Intro W7

• 1. Current Page: Intro W7 (1 of 10)
  2. Resources W7 (2 of 10)
  3. TN W7, Assignment (3 of 10)
  4. 6.1 Video Lesson, Assignment (4 of 10)
  5. 6.2 Video Lesson, Assignment (5 of 10)
  6. 6.2 Practice, Assignment (6 of 10)
  7. 6.3 Video Lesson, Assignment (7 of 10)
  8. 6.4 Video Lesson, Assignment (8 of 10)
  9. Exam 3, Assignment (9 of 10)
  10. Outro W7 (10 of 10)

        Intro W7

  •  Objectives

    1. We have seen that the graphs of linear equations are straight lines. Graphs of other types of equations, called polynomial equations, are curves, like the outline of a suspension bridge. Architects use polynomials to design the shape of a bridge like this and to draw the blueprints for it. Engineers use polynomials to calculate the stress on the bridge’s supports to ensure they are strong enough for the intended load. In this chapter, you will explore operations with and properties of polynomials.
    3. The sections for this week are:
       • 4.5 Use the Slope-Intercept Form of an Equation of a Line
       • 4.6 Find the Equation of a Line
       • 4.7 Graphs of Linear Inequalities
       • 5.1 Solve Systems of Equations by Graphing

   

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

  • • 6.1
    • 6.2
    • 6.3
    • 6.4

     Learning Outcomes

    In this section, you will:

    • Identify polynomials, monomials, binomials, and trinomials
    • Determine the degree of polynomials
    • Add and subtract monomials
    • Add and subtract polynomials
    • Evaluate a polynomial for a given value

     Intro

    You have learned that a term is a constant or the product of a constant and one or more variables. When it is of the form $ax^m$, where \(a\) is a constant and \(m\) is a whole number, it is called a monomial. A monomial, or two or more monomials combined by addition or subtraction, is a polynomial. Some polynomials have special names, based on the number of terms. A monomial is a polynomial with exactly one term. A binomial has exactly two terms, and a trinomial has exactly three terms. There are no special names for polynomials with more than three terms.

     Learning Outcomes

    In this section, you will:

    • Simplify expressions with exponents
    • Simplify expressions using the Product Property for Exponents
    • Simplify expressions using the Power Property for Exponents
    • Simplify expressions using the Product to a Power Property
    • Simplify expressions by applying several properties
    • Multiply monomials

     Intro

    You have seen that when you combine like terms by adding and subtracting, you need to have the same base with the same exponent. But when you multiply and divide, the exponents may be different, and sometimes the bases may be different, too.

    We’ll derive the properties of exponents by looking for patterns in several examples.

     Learning Outcomes

    In this section, you will:

    • Multiply a polynomial by a monomial
    • Multiply a binomial by a binomial
    • Multiply a trinomial by a binomial

     Intro

    We have used the Distributive Property to simplify expressions like 2(x−3). You multiplied both terms in the parentheses, xand3$x\text{and}3$, by 2, to get 2x−6. With this chapter’s new vocabulary, you can say you were multiplying a binomial, x−3, by a monomial, 2.

    Multiplying a binomial by a monomial is nothing new for you! 

    Just like there are different ways to represent multiplication of numbers, there are several methods that can be used to multiply a binomial times a binomial.

     Learning Outcomes

    In this section, you will:

    • Square a binomial using the Binomial Squares Pattern
    • Multiply conjugates using the Product of Conjugates Pattern
    • Recognize and use the appropriate special product pattern

     Intro

    Mathematicians like to look for patterns that will make their work easier. A good example of this is squaring binomials. While you can always get the product by writing the binomial twice and using the methods of the last section, there is less work to do if you learn to use a pattern.

     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 W7"

     Assignments

    • Take Notes Week 7         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 7          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  7              Due Sunday night 11:59pm.
    •  

    Directions

    • There is one 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 3 

      Exam 3 will assess your knowledge of Chapter 4 and 5. 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 72-hour exam window opens Monday morning and closes Wednesday 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.