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
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (6)
untitled
   

Unit Review Game: Pictionary

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (9)
 
Resources (8)
 
Reflections (1)
untitled
   

Polynomial and Rational Functions: Unit Assessment

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Assess students' understanding of polynomial and rational functions.

 
Favorites (2)
 
Resources (3)
images
   

Simplifying Rational Expressions Day 1

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (10)
simplify
   

Solving Rational Equations, Day 2

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

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

 
Favorites (1)
 
Resources (11)
solving rational eqns 2
   

Graphing Rational Functions

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (3)
 
Resources (7)
untitled
   

Ultramarathon Pacing and Rational Functions

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (7)
 
Resources (10)
 
Reflections (1)
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Homecoming and the Five Pound Gummy Bear

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

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

 
Favorites (7)
 
Resources (15)
 
Reflections (2)
untitled
   

Adding and Subtraction Rational Expressions

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

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

 
Resources (21)
image adding and subtracting rational expressions
   

Modeling and Simplifying Rational Expressions

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

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

 
Favorites (2)
 
Resources (21)
image rational expressions
   

Rational Functions Test

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

A summative assessment incorporating both skills and modeling problems.

 
Resources (10)
image rational functions
   

Partial Fraction Decomposition

12th Grade Math » Unit: Matrices and Systems
12th Grade Math » Unit: Matrices and Systems
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

A system of equations can help us decompose rational expressions.

 
Favorites (1)
 
Resources (8)
untitled
   

Leftovers?

Algebra II » Unit: Algebraic Arithmetic
Algebra II » Unit: Algebraic Arithmetic
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
leftovers
   

Rational Functions Review Day 1

Algebra II » Unit: Rational Functions
Algebra II » Unit: Rational Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Use the appropriate tools to interpret rational functions.

 
Resources (17)
image rational functions
   

Sort It Out (Unit Review)

Algebra II » Unit: Algebraic Arithmetic
Algebra II » Unit: Algebraic Arithmetic
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Resources (10)
 
Reflections (1)
pattern
Common Core Math
 
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