HSF-IF.C.9

Scroll Up

- 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.

Scroll Down

## 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)

### 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)

### 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)

### 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:

Favorites
(1)

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)

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