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)

### 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)

### 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)

### 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? - 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)

### 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)

### 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
(3)

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

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Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

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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

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