HSF-BF.A.1c

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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.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.

9 Lesson(s)

### Compositions in Context

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students first become quick function composers with a relay game and then work to see how composite functions can be used to model cell phone bills.

Standards:

Favorites
(11)

Resources
(18)

### Fun with Functions: Basic Inverse and Function Operations

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students learn different function operations with a colorful teacher-led presentation that engages students with tons of practice.

Standards:

Favorites
(16)

Resources
(22)

Reflections
(1)

### Review Day

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.

Standards:

Favorites
(3)

Resources
(14)

### 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)

### Composition of Functions, Day 1 of 2

12th Grade Math »
Unit: Functions and Piecewise Functions

12th Grade Math »
Unit: Functions and Piecewise Functions

Big Idea:

#### By using graphs, tables, equations and real world problems students use function composition to solve problems

Standards:

Favorites
(8)

Resources
(29)

Reflections
(5)

### Test Review

12th Grade Math »
Unit: Basic Functions and Equations

12th Grade Math »
Unit: Basic Functions and Equations

Big Idea:

#### Students work together to review for the upcoming test.

Standards:

Resources
(3)

### 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)

### Using Inverses to Evaluate

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

Big Idea:

#### How can you evaluate cosine when you are given arcsin x without finding the angle?

Standards:

Resources
(15)

Reflections
(1)

### Composition of Functions, Day 2 of 2

12th Grade Math »
Unit: Functions and Piecewise Functions

12th Grade Math »
Unit: Functions and Piecewise Functions

Big Idea:

#### Understanding how a composition can be separated into 2 functions develops skills necessary for calculus.

Standards:

Favorites
(2)

Resources
(25)

Reflections
(2)

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