HSF-BF.A.1a

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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.1a

## Determine an explicit expression, a recursive process, or steps for calculation from a context.

33 Lesson(s)

### Bunnies and Exponential Growth

12th Grade Math »
Unit: Exponential Functions

12th Grade Math »
Unit: Exponential Functions

Big Idea:

#### Students experience and describe exponential growth by looking at exponentially increasing bunny populations.

Standards:

Favorites
(15)

Resources
(17)

### Writing the Equation of A Linear Function (Day 2 of 2)

Algebra I »
Unit: Linear Functions

Algebra I »
Unit: Linear Functions

Big Idea:

#### This lesson allows students to understand how to use slope to write an explicit formula for a linear function.

Standards:

Favorites
(6)

Resources
(15)

### Introduction to Rational Functions with Real-World Applications

12th Grade Math »
Unit: Rational Functions

12th Grade Math »
Unit: Rational Functions

Big Idea:

#### How long will a trip take if you travel at a certain speed? Use the relationship between speed and time to explore rational functions and discover asymptotes in the real world.

Standards:

Favorites
(26)

Resources
(14)

Reflections
(1)

Big Idea:

#### Now is the chance to show off what you know about functions.

Standards:

Favorites
(5)

Resources
(6)

Reflections
(1)

### A Wrap on Logarithmic dB's and An Extension to Logarithmic Properties

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson, motivated by previous exploration and experimentation, empowers the students to explore mathematical proof involving exponentiation and logarithms

Standards:

Favorites
(2)

Resources
(17)

Reflections
(1)

### Introduction to Sequences

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### Detecting patterns in numbers helps students see the mathematical relationships that underlie real world phenomena. In this colorful lesson, students look at patterns of numbers and uncover the rule used to generate them.

Standards:

Favorites
(49)

Resources
(16)

Reflections
(1)

### Arithmetic Sequences

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### There are easier ways to generate the 100th term of an arithmetic sequence than listing all 99 terms before it. In this lesson, students learn to work flexibly with explicit and recursive expressions of an arithmetic sequence.

Standards:

Favorites
(7)

Resources
(17)

Reflections
(1)

### Arithmetic and Geometric Sequences Vocabulary Intro

Algebra II »
Unit: Arithmetic and Geometric Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Big Idea:

#### Vocabulary of sequences will be developed in a fun and engaging" Here is... Where is" Scavenger Hunt Activity.

Standards:

Favorites
(9)

Resources
(14)

Reflections
(1)

### Geometric and Arithmetic Sequences and Series Review

Algebra II »
Unit: Arithmetic and Geometric Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Big Idea:

#### Represent arithmetic and geometric sequences/series with various models (MP#4) using a cooperative learning review activity (MP#3).

Standards:

Favorites
(5)

Resources
(9)

Reflections
(1)

Big Idea:

#### Manipulatives help students build a foundation for understanding abstract concepts. This lesson allows students to use manipulatives to gain a concrete understanding of the concept of a function.

Standards:

Favorites
(8)

Resources
(15)

Reflections
(1)

Big Idea:

#### There are easier ways to generate the 100th term of a geometric sequence than listing all 99 terms before it. In this lesson, students learn to work flexibly with explicit and recursive expressions of a geometric sequence.

Standards:

Favorites
(9)

Resources
(18)

Reflections
(2)

### Quiz on Sequences and Intro to Sigma Notation

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### Big Idea #1 Students show what they know about sequences on this quiz Big Idea #2 Sigma notation is a concise way of expressing the sum of terms.

Standards:

Favorites
(5)

Resources
(15)

Reflections
(1)

### Arithmetic and Geometric Sequences and Series Exam

Algebra II »
Unit: Arithmetic and Geometric Sequences

Algebra II »
Unit: Arithmetic and Geometric Sequences

Big Idea:

#### Represent arithmetic and geometric sequences/series with various models in an exam over the unit.

Standards:

Favorites
(1)

Resources
(10)

Reflections
(1)

Big Idea:

#### Arithmetic sums can be used for estimation. How many seats are in a stadium? How many tiles in a work of art? What's the total profit made by a business?

Standards:

Favorites
(3)

Resources
(17)

Reflections
(1)

### Introduction to Series and Partial Sums

Algebra II »
Unit: Sequences and Series

Algebra II »
Unit: Sequences and Series

Big Idea:

#### A series is the sum of terms of a sequence.

Standards:

Favorites
(2)

Resources
(13)

Reflections
(1)

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