HSA-APR.D.7
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- HSA-APR.D.6Rewrite 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.
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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.
22 Lesson(s)
Formative Assessment: Systems of Equations and Inequalities
12th Grade Math »
Unit: Matrices and Systems
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.
Standards:
Favorites
(1)
Resources
(6)
Unit Review Game: Pictionary
12th Grade Math »
Unit: Polynomial and Rational Functions
12th Grade Math »
Unit: Polynomial and Rational Functions
Big Idea:
Use a review game to prepare students for the unit assessment.
Standards:
Favorites
(9)
Resources
(8)
Reflections
(1)
Polynomial and Rational Functions: Unit Assessment
12th Grade Math »
Unit: Polynomial and Rational Functions
12th Grade Math »
Unit: Polynomial and Rational Functions
Big Idea:
Assess students' understanding of polynomial and rational functions.
Standards:
Favorites
(2)
Resources
(3)
Simplifying Rational Expressions Day 1
Algebra II »
Unit: Rational Functions
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.
Standards:
Favorites
(2)
Resources
(10)
Solving Rational Equations, Day 2
Algebra II »
Unit: Rational Functions
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.
Standards:
Favorites
(1)
Resources
(11)
Graphing Rational Functions
12th Grade Math »
Unit: Polynomial and 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.
Standards:
Favorites
(3)
Resources
(7)
Ultramarathon Pacing and Rational Functions
12th Grade Math »
Unit: Polynomial 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.
Standards:
Favorites
(7)
Resources
(10)
Reflections
(1)
Homecoming and the Five Pound Gummy Bear
12th Grade Math »
Unit: Polynomial and Rational Functions
12th Grade Math »
Unit: Polynomial and Rational Functions
Big Idea:
Make sense of asymptotes and rational functions by putting them into context.
Standards:
Favorites
(7)
Resources
(15)
Reflections
(2)
Adding and Subtraction Rational Expressions
Algebra II »
Unit: Rational Functions
Algebra II »
Unit: Rational Functions
Big Idea:
Compare and connect the graphic and algebraic representations of the sums and differences of rational expressions.
Standards:
Resources
(21)
Modeling and Simplifying Rational Expressions
Algebra II »
Unit: Rational Functions
Algebra II »
Unit: Rational Functions
Big Idea:
Students compare multiple models of rational expressions including algebraic, graphic and real world.
Standards:
Favorites
(2)
Resources
(21)
Big Idea:
A summative assessment incorporating both skills and modeling problems.
Standards:
Resources
(10)
Partial Fraction Decomposition
12th Grade Math »
Unit: Matrices and Systems
12th Grade Math »
Unit: Matrices and Systems
Big Idea:
A system of equations can help us decompose rational expressions.
Standards:
Favorites
(1)
Resources
(8)
Big Idea:
Remainders, like leftovers, tell us a lot about the original "meal". Use the Remainder Theorem to identify factors of a polynomial function.
Standards:
Favorites
(1)
Resources
(11)
Reflections
(1)
Rational Functions Review Day 1
Algebra II »
Unit: Rational Functions
Algebra II »
Unit: Rational Functions
Big Idea:
Use the appropriate tools to interpret rational functions.
Standards:
Resources
(17)
Sort It Out (Unit Review)
Algebra II »
Unit: Algebraic Arithmetic
Algebra II »
Unit: Algebraic Arithmetic
Big Idea:
Notes and understanding both in a jumble? These activities will help sort out algebraic operations and identities.
Standards:
Resources
(10)
Reflections
(1)
Common Core Math
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School