HSF-IF.C.9

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- HSF-IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- HSF-IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- HSF-IF.C.9Compare 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.

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## 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

Big Idea:

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

Standards:

Favorites
(3)

Resources
(31)

Reflections
(1)

### Review Workshop: Polynomial Functions and Expressions

Algebra II »
Unit: Polynomial Functions and Expressions

Algebra II »
Unit: Polynomial Functions and Expressions

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.

Standards:

Favorites
(6)

Resources
(13)

Reflections
(1)

### Logs, Loans, and Life Lessons!

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

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

Standards:

Favorites
(4)

Resources
(16)

### End of Unit Differentiated Problem Set

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

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

Standards:

Favorites
(1)

Resources
(14)

### "Demystifying e" Day #1

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

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

Standards:

Favorites
(6)

Resources
(12)

### Higher Degree Polynomials, Day 2 of 2

Algebra II »
Unit: Higher-Degree Polynomials

Algebra II »
Unit: Higher-Degree Polynomials

Big Idea:

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

Standards:

Favorites
(2)

Resources
(14)

### 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

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.

Standards:

Resources
(10)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(1)

Resources
(26)

Reflections
(2)

### 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

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.

Standards:

Favorites
(1)

Resources
(9)

Reflections
(2)

### 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

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.

Standards:

Resources
(11)

Reflections
(1)

### 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

Big Idea:

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

Standards:

Resources
(11)

Reflections
(1)

### 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

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.

Standards:

Resources
(8)

### 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

Big Idea:

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

Standards:

Resources
(3)

### Multiplying and Dividing Exponents: To Add or Not to Add

Algebra I »
Unit: Operations on Polynomials

Algebra I »
Unit: Operations on Polynomials

Big Idea:

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

Standards:

Favorites
(21)

Resources
(14)

### Logs, Loans, and Life Lessons Collaboration Day!

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

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

Standards:

Favorites
(3)

Resources
(23)

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