Day 54 - Multiplying/Dividing Rational Expressions - 11.03.14

Updates
  • Average on Quiz 8 = 73%

Bell Ringer
  • Simplifying Rational Expressions
  1. What is the excluded value(s) of ?

    1. -3/4

    2. 7

    3. 0

    4. 0 and 7

    5. none of the above

  2. What is the excluded value(s) of ?

    1. -3 and 2

    2. -3 and -2

    3. 3 and 2

    4. 3 and -2

    5. none of the above

  3. What are the excluded value(s) of ?

    1. -4 and 3

    2. 4 and 3

    3. 4 and -3

    4. .-4 and -3

    5. none of the above

  4. What are the excluded values of the following: ?

    1. -7

    2. 7

    3. 0

    4. no excluded values

    5. none of the above

Review
  • Prerequisites
    • Dividing by 0
    • Rational Numbers
    • Numerator and Denominator
    • Polynomials
  • Rational Functions
    • Polynomial / Polynomial
    • Excluded Values
      • Graphs at Excluded Values
    • Simplifying Rational Expressions

Lesson
  • Multiplying/Dividing Rational Expressions
    • Unit Conversions (Dimensional Analysis)

    Exit Ticket
    • Posted on board at end of block.
    Lesson Objective(s)
    • How can multiplying/dividing rational expressions be simplified?
    • How are unit conversions related to multiplying/dividing rational expressions?

    Standard(s)
    • Solving Rational Equations - 12.9
      • CC.9-12.A.CED.1 Create equations that describe numbers or relationship. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
      • CC.9-12.A.REI.11 Represent and solve equations and inequalities graphically. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
      • CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
    • Dividing Polynomials - 12.5
      • CC.9-12.A.APR.6 Rewrite rational expressions. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

    Mathematical Practice(s)
    • #1 - Make sense of problems and persevere in solving them
    • #2 - Reason abstractly and quantitatively
    • #4 - Model with mathematics
    • #5 - Use appropriate tools strategically
    • #7 - Look for and make use of structure



    Past Checkpoints