HSF-IF.B.6

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- HSF-IF.B.4For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*
- HSF-IF.B.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*
- HSF-IF.B.6Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*

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## HSF-IF.B.6

## Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*

40 Lesson(s)

Big Idea:

#### Algebra is built on axioms and definitions and relies on proofs just as much as geometry.

Standards:

Favorites
(36)

Resources
(19)

Reflections
(2)

### Patio Problem: Sequences and Functions

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Arithmetic sequences can be modeled by linear functions that both have the same common difference.

Standards:

Favorites
(23)

Resources
(9)

Reflections
(1)

### Slope as a Rate of Change - Day 1 of 2

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### This real-life application will help students develop the meaning of the slope concept.

Standards:

Favorites
(19)

Resources
(14)

### What Goes Up, Day 1 of 3

Algebra II »
Unit: Modeling with Algebra

Algebra II »
Unit: Modeling with Algebra

Big Idea:

#### Projectile motion provides context for average rates of change in the context of velocity and acceleration. What goes up...

Standards:

Favorites
(27)

Resources
(23)

Reflections
(3)

### Super Mario's (almost) Linear World

8th Grade Math »
Unit: Linear Regression

8th Grade Math »
Unit: Linear Regression

Big Idea:

#### We can apply our understanding of linear functions to model things that are almost linear.

Standards:

Favorites
(18)

Resources
(14)

### Modeling With Quadratic Functions

Algebra I »
Unit: Quadratic Functions

Algebra I »
Unit: Quadratic Functions

Big Idea:

#### This lesson allows students to make a connection between real-world phenomena and the average rate of change of a quadratic function.

Standards:

Favorites
(13)

Resources
(15)

### 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)

### How Does a Parabola Grow?

Algebra I »
Unit: Quadratic Functions

Algebra I »
Unit: Quadratic Functions

Big Idea:

#### It's not so much about the shortcut as it is about the structure it reveals!

Standards:

Favorites
(1)

Resources
(16)

Reflections
(1)

### Get Perpendicular with Geoboards!

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Students reason about Perpendicular Lines with simple concrete examples using Geoboards and extend their reasoning to designing parking lines.

Standards:

Favorites
(2)

Resources
(17)

Reflections
(1)

Big Idea:

#### Students will develop their understanding of rate of change by exploring real world contexts.

Standards:

Favorites
(31)

Resources
(19)

Reflections
(1)

### Graphing Linear Functions Using Tables

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Using a table can reveal the common difference of an arithmetic sequence.

Standards:

Favorites
(4)

Resources
(16)

### "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
(4)

Resources
(12)

### Graph Linear Equations Practice

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### There is a variety of ways to graph linear equations. The structure of an equation can make one method better than another.

Standards:

Favorites
(3)

Resources
(14)

Reflections
(1)

### Slope as a Rate of Change - Day 2 of 2

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### Students debrief a lesson on slope as a rate of change by investigating each other's work.

Standards:

Favorites
(7)

Resources
(10)

Big Idea:

#### Given any two terms in an arithmetic sequences students can use patterns to find the explicit formula.

Standards:

Favorites
(3)

Resources
(17)

Reflections
(1)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

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### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

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### 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