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- HSA-APR.D.6Rewrite simple rational expressions in different forms; write <sup>a(x)</sup>/<sub>b(x)</sub> in the form q(x) + <sup>r(x)</sup>/<sub>b(x)</sub>, 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.
- HSA-APR.D.7(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

Formative Assessment: Systems of Equations and Inequalities

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:A quick assessment will give you and your students feedback about the second half of the unit.

Unit Review Game: Pictionary

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Use a review game to prepare students for the unit assessment.

Polynomial and Rational Functions: Unit Assessment

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Assess students' understanding of polynomial and rational functions.

Solving Rational Equations, Day 2

Algebra II

» Unit:

Rational Functions

Big Idea:The structure of a rational equation is extremely important! Pay attention to the structure and the solution may come more easily.

Simplifying Rational Expressions Day 1

Algebra II

» Unit:

Rational Functions

Big Idea:Polynomials are like the integers; rational expressions are like rational numbers. Multiplication of fractions makes multiplying rational expressions easy to understand.

Graphing Rational Functions

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Use the conceptual work from the last two days to create an algorithm for graphing rational functions.

Ultramarathon Pacing and Rational Functions

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Use an ultramarathon pacing scenario to make sense of rational functions and asymptotes.

Adding and Subtraction Rational Expressions

Algebra II

» Unit:

Rational Functions

Big Idea:Compare and connect the graphic and algebraic representations of the sums and differences of rational expressions.

Homecoming and the Five Pound Gummy Bear

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Make sense of asymptotes and rational functions by putting them into context.

Rational Functions Test

Algebra II

» Unit:

Rational Functions

Big Idea:A summative assessment incorporating both skills and modeling problems.

Modeling and Simplifying Rational Expressions

Algebra II

» Unit:

Rational Functions

Big Idea:Students compare multiple models of rational expressions including algebraic, graphic and real world.

Rational Functions Review Day 1

Algebra II

» Unit:

Rational Functions

Big Idea:Use the appropriate tools to interpret rational functions.

Partial Fraction Decomposition

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:A system of equations can help us decompose rational expressions.

Leftovers?

Algebra II

» Unit:

Algebraic Arithmetic

Big Idea:Remainders, like leftovers, tell us a lot about the original "meal". Use the Remainder Theorem to identify factors of a polynomial function.

Sort It Out (Unit Review)

Algebra II

» Unit:

Algebraic Arithmetic

Big Idea:Notes and understanding both in a jumble? These activities will help sort out algebraic operations and identities.

HSA-APR.D.6

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.

HSA-APR.D.7

(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.