Updates
Bell Ringer  Simplifying Rational Expressions
What is the excluded value(s) of ? 3/4 7 0 0 and 7 none of the above
What is the excluded value(s) of ? 3 and 2 3 and 2 3 and 2 3 and 2 none of the above
What are the excluded value(s) of ? 4 and 3 4 and 3 4 and 3 .4 and 3 none of the above
What are the excluded values of the following: ? 7 7 0 no excluded values  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.912.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.912.A.REI.11 Represent and solve equations and inequalities graphically. Explain why the xcoordinates 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.912.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.912.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 Rational Expressions
 Simplifying Rational Expressions
