HSF-BF.A.1b

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- HSF-BF.A.1aDetermine an explicit expression, a recursive process, or steps for calculation from a context.
- HSF-BF.A.1bCombine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
- HSF-BF.A.1c(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

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## HSF-BF.A.1b

## Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

14 Lesson(s)

### Jeopardy: Basic Functions

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Fun (and basic function review) is what this lesson is all about. Students need to bring their thinking caps to win this game of jeopardy!

Standards:

Favorites
(2)

Resources
(5)

### Where are the Functions Farthest Apart? - Day 1 of 2

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Function combinations and maximization problems collide to create a challenging and mathematically rich task.

Standards:

Favorites
(3)

Resources
(13)

Reflections
(1)

### Unit Review Game: Trashball

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Use Trashball to review the important concepts of this unit.

Standards:

Favorites
(1)

Resources
(7)

Reflections
(1)

### Pizza, Hot Chocolate and Newton's Law of Cooling: Adding Constants to Exponential Functions

Algebra I »
Unit: Exponential Functions

Algebra I »
Unit: Exponential Functions

Big Idea:

#### Students investigate applications of Newton's Law of Cooling and create their own exponential functions modeling other contexts.

Standards:

Favorites
(1)

Resources
(27)

Reflections
(2)

### Functioning with Functions: Unit Assessment

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Assess students' understanding of functions.

Standards:

Resources
(7)

Reflections
(1)

### Where are the Functions Farthest Apart? - The Sequel

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### Inverses, combinations of functions, and maximization are all essential to solve a problem about horizontal distance on a graph.

Standards:

Favorites
(1)

Resources
(11)

Reflections
(1)

### Where are the Functions Farthest Apart? - Day 2 of 2

12th Grade Math »
Unit: Functioning with Functions

12th Grade Math »
Unit: Functioning with Functions

Big Idea:

#### The maximization problem is generalized to introduce combinations of functions.

Standards:

Favorites
(1)

Resources
(7)

### Unit Test: Logarithms and Exponential Functions

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### To be successful in this test, you need to understand how to model with exponential functions, solve exponential equations, graph exponential functions and simplify exponential and logarithmic expressions.

Standards:

Resources
(5)

Reflections
(1)

### Operations of Functions

12th Grade Math »
Unit: Functions and Piecewise Functions

12th Grade Math »
Unit: Functions and Piecewise Functions

Big Idea:

#### Addition, subtraction, multiplication and division of functions will be reviewed by students developing group presentations on the operations. Function notation will be analyzed to reduce misconceptions.

Standards:

Favorites
(6)

Resources
(12)

Reflections
(1)

### Exponential Growth and Interest Day 2 of 2

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Let's build an exponential model around something all kids are interested in... money.

Standards:

Favorites
(1)

Resources
(20)

### Functions Test Review Day 2

Algebra II »
Unit: Modeling with Functions

Algebra II »
Unit: Modeling with Functions

Big Idea:

#### This lesson will train students HOW to study mathematics as well as help them review.

Standards:

Resources
(15)

Big Idea:

#### Combine functions to help determine which mode of travel is cheapest.

Standards:

Favorites
(4)

Resources
(11)

Reflections
(1)

### Drinking and Driving Activity

Algebra II »
Unit: Exponential Functions

Algebra II »
Unit: Exponential Functions

Big Idea:

#### Exponential functions have many applications. One health-related application is the probability of getting into an accident as a function of alcoholic beverages consumed.

Standards:

Resources
(8)

Reflections
(1)

### Presentation on Functions Operations

12th Grade Math »
Unit: Functions and Piecewise Functions

12th Grade Math »
Unit: Functions and Piecewise Functions

Big Idea:

#### Presentation will assist students in learning the notation of function operations.

Standards:

Favorites
(1)

Resources
(20)

Reflections
(3)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

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### Fourth Grade

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### 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