Algebra 1 7-6 Complete Lesson: Exponential Functions

Last updated about 4 years ago

31 questions

Note from the author:

10

F.IF.7.e

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F.IF.7.e

10

F.IF.7.e

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F.IF.5

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100

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F.IF.7.e

Library

Algebra 1 7-6 Complete Lesson: Exponential Functions

Last updated about 4 years ago

31 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

5

F.LE.3

5

F.LE.3

10

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.e

10

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.e

10

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

F.IF.7.e

10

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

10

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

F.IF.5

10

What is f(2) for the function?

10

Reasoning: Is the function an exponential function? Justify your answer.

3

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

10

Review Lesson 7-4: Simplify the expression.

10

Review Lesson 7-4: Simplify the expression.

10

Review Lesson 7-4: Simplify the expression.

10

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

10

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

100

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

10

Reflection: Math Success

F.IF.7.e

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

5

F.LE.3

5

F.LE.3

10

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

10

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

10

What is f(2) for the function?

The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

{-2, -1, 0, -1, -2}

{-2, -1, 0, 1, 2}

{-4, -2, 0, 2, 4}

Reasoning: Is the function an exponential function? Justify your answer.

3

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

Review Lesson 7-4: Simplify the expression.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

y = 5x

y = x + 5

y = 5x + 1

y = x

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

y = 3x + 1

y = x

y = 3x

y = 2x + 3

Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

original price: $25; sale price: $22
height last week: 15 cm; height this week: 18 cm
price this year: $999; price last year: $1450
birth weight: 220 lb; weight at 1 month: 300 lb

Percent increase
Percent decrease

Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

original price: $25; sale price: $22
height last week: 15 cm; height this week: 18 cm
price this year: $999; price last year: $1450
birth weight: 220 lb; weight at 1 month: 300 lb

31%
20%
36%
12%

Vocabulary Review: Identify each relation based on whether or not it is a function.

{(1, 3), (1, 5), (2, 7), (3, 9), (4, 11)}
{(0, 0), (-1, -1), (-2, -2), (-3, -3)}
{(5, 5), (5, 4), (5, 3), (5, 4)}
{(2, 5), (3, 5), (4, 5), (5, 5)}

Function
Not a function

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

Plan 1

Plan 2

Solve It! Which plan will give your team more total practice over 8 days?

Plan 1

Plan 2

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Is the relation in the graph a function?
Use the vertical line test.

No, it is not a function. The graph fails the vertical line test.

Yes, it is a function. The graph passes the vertical line test.

The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

{-2, -1, 0, -1, -2}

{-2, -1, 0, 1, 2}

{-4, -2, 0, 2, 4}

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point. 

y = 5x

y = x + 5

y = 5x + 1

y = x

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point. 

y = 3x + 1

y = x

y = 3x

y = 2x + 3

Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

original price: $25;   sale price: $22

height last week: 15 cm;   height this week: 18 cm

price this year: $999;   price last year: $1450

birth weight: 220 lb;   weight at 1 month: 300 lb

Percent increase

Percent decrease

Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

original price: $25;   sale price: $22

height last week: 15 cm;   height this week: 18 cm

price this year: $999;   price last year: $1450

birth weight: 220 lb;   weight at 1 month: 300 lb

31%

20%

36%

12%

Vocabulary Review: Identify each relation based on whether or not it is a function.

{(1, 3), (1, 5), (2, 7), (3, 9), (4, 11)}

{(0, 0), (-1, -1), (-2, -2), (-3, -3)}

{(5, 5), (5, 4), (5, 3), (5, 4)}

{(2, 5), (3, 5), (4, 5), (5, 5)}

Function

Not a function

Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

Plan 1

Plan 2

Solve It! Which plan will give your team more total practice over 8 days?

Plan 1

Plan 2

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Is the relation in the graph a function?
 Use the vertical line test. 

No, it is not a function. The graph fails the vertical line test.

Yes, it is a function. The graph passes the vertical line test.

Algebra 1 7-6 Complete Lesson: Exponential Functions

Algebra 1 7-6 Complete Lesson: Exponential Functions

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times. Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}. Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

What is f(2) for the function?

Reasoning: Is the function an exponential function? Justify your answer.

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.In the expression 5³, 3 is the __?__.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.The expression above is an __?__ expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times. Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}. Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

What is f(2) for the function?

The domain of f(x) is {-4, -2, 0, 2, 4}Given the domain above, what is the range?

Reasoning: Is the function an exponential function? Justify your answer.

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

Vocabulary Review: Identify each relation based on whether or not it is a function.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.In the expression 5³, 3 is the __?__.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.The expression above is an __?__ expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

Solve It! Which plan will give your team more total practice over 8 days?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Is the relation in the graph a function? Use the vertical line test.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Is the relation in the graph a function?
Use the vertical line test.