HSF-IF.C.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

 
49 Lesson(s)
   

Ahoy again! What can you see now? Building Rational Functions

12th Grade Math » Unit: Rational Functions and Equations
12th Grade Math » Unit: Rational Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students use “spyglasses” again to build context around rational functions and begin to develop an understanding of how a rational function behaves.

 
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Resources (31)
 
Reflections (1)
pirate
   

Review Workshop: Polynomial Functions and Expressions

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Tomorrow is the unit test on polynomial functions and expressions. In this lesson, we do more practice with word problems, solving equations, graphing parabolas, and rewriting quadratic functions.

 
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Resources (13)
 
Reflections (1)
unit checklist
   

Logs, Loans, and Life Lessons!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This engaging lesson weaves together logarithms, loans, and life lessons!

 
Favorites (4)
 
Resources (16)
logs loans and life lessons pic
   

End of Unit Differentiated Problem Set

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson allows the students to apply their mathematical knowledge in a real context.

 
Favorites (1)
 
Resources (14)
richterscalepicture
   

"Demystifying e" Day #1

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

 
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Resources (12)
e
   

Higher Degree Polynomials, Day 2 of 2

Algebra II » Unit: Higher-Degree Polynomials
Algebra II » Unit: Higher-Degree Polynomials
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Students test their mettle against polynomial challenges, comparing graphs to tables and doing long division with unknown coefficients.

 
Favorites (2)
 
Resources (14)
polynomialdeg5
   

Further Exploration of Distance Functions

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Are there function rules to fit these relationships? Students apply prior knowledge to a new problem and find functions to fit their data. The optional use of technology allows them to check models on their own.

 
Resources (10)
 
Reflections (1)
screen shot 2013 09 05 at 4 40 36 pm
   

The Ellipse (Day 3 of 3)

12th Grade Math » Unit: Conics
12th Grade Math » Unit: Conics
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can I determine the equation is an ellipse by looking at the equation.

 
Favorites (1)
 
Resources (26)
 
Reflections (2)
copy of ellipse
   

Absolute Value Equations and Inequalities

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Put it all together -- students use a lot of strategies and make a lot of connections to hopefully demonstrate their mastery of the skills and ideas of this unit.

 
Favorites (1)
 
Resources (9)
 
Reflections (2)
abs value eqns inequalities
   

Exploring Distance Functions

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Instead of memorizing the definition of absolute value, students work with the concept of distance and the number line to develop transformed absolute value functions.

 
Resources (11)
 
Reflections (1)
student using number line distance function
   

Sometimes, Always, Never with Absolute Value

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

How can you test your theories? Students work at different levels of abstraction, either working with numerical examples or algebraic generalizations.

 
Resources (11)
 
Reflections (1)
screenshot 2014 01 11 13 52 23
   

From Descriptions to Graphs without Data Tables

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

How does each aspect of the verbal description show up in the graph? Students develop their own methods to match graphs of distance functions to verbal descriptions.

 
Resources (8)
students figuring out graph transformations
   

Absolute Value Summative Assessment

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Using leveled assessments enables students to choose to challenge themselves and ensures that all students are working at their ZPD.

 
Resources (3)
more challenging absolute value graphs
   

Multiplying and Dividing Exponents: To Add or Not to Add

Algebra I » Unit: Operations on Polynomials
Algebra I » Unit: Operations on Polynomials
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

This lesson helps students make the connection between performing operations with real numbers and exponents.

 
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Resources (14)
entry ticket for exponents lesson
   

Logs, Loans, and Life Lessons Collaboration Day!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Auto Loan (linear function) + Car Value (exponential decay function) = REAL LIFE APPLICATION!

 
Favorites (1)
 
Resources (23)
groups in action 2
Common Core Math
 
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