Updates
Questions
Bell Ringer The variables x and y are inversely related. y = 3 when x = 6. Find y when x = 9 1 2 9 0 none of the above
Write the following as mixed expression:
none of the above
Simplify .
none of the above
Simplify . 1
already simplified none of the above
Find .
 none of the above
Review Fractions
 Operations with Fractions (+, , *, /)
 Simplifying Fractions
 Rationals
 Rationals Activity
 Rational Expressions
 Define and give an example of a rational expression.
 Excluded Values (video)
 Simplifying Rational Expressions (video)
 Multiplying/Dividing Rational Expressions (video)
 Dividing Polynomials/Long Division (video)
 How can polynomials be divided?
 Divide polynomials using long division.
 Extra Practice
 Adding/Subtracting Rational Expressions (video)
 How can rational expressions be added/subtracted?
 Add/subtract rational expressions with common denominators.
 Add/subtract rational expressions with uncommon denominators.
 Extra Practice
 Complex Fractions and Mixed Numbers
 How can complex fractions and mixed numbers be simplified?
 Simplify complex fractions and mixed numbers.
 Extra Practice
 Solving Rational Equations (video)
 Inverse Variation (video)
 Rational Applications
 How can rational equations be used to solve real world problems?
 Apply rational equations to solve real world problems.
Lesson
Exit Ticket

Essential Question(s)
 Define and give an example of a rational expression.
 Find the excluded values of a rational expression.
 Simplify rational expressions.
 Multiply rational expressions.
 Divide rational expressions.
 Divide polynomials using long division.
 Add/subtract rational expressions with common denominators.
 Add/subtract rational expressions with uncommon denominators.
 Simplify complex fractions and mixed numbers.
 Solve rational equations.
 Check for extraneous solutions.
 Apply rational equations to solve real world problems.
Standard(s)
 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.
 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.
 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.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.*
Mathematical Practice(s)
 #1  Make sense of problems and persevere in solving them
 #2  Reason abstractly and quantitatively
 #7  Look for and make use of structure
