Algebra 1 5-2 Complete Lesson: Direct Variation

Last updated about 4 years ago

24 questions

Note from the author:

20

A.CED.2

N.Q.2

5

10

100

10

A.CED.2

Library

Algebra 1 5-2 Complete Lesson: Direct Variation

Last updated about 4 years ago

24 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.

10

Solve It! The diagram shows how long it takes to hear thunder after you see lightning. What general rule can you use to model this situation?

A.CED.2

10

20

Problem 3 Got it? Weight on the moon y varies directly with weight on Earth x. A person who weighs 100 lb on Earth weighs 16.6 lb on the moon. What is an equation that relates weight on earth x and weight on the moon y? What is the graph of this equation?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.CED.2

N.Q.2

10

A.CED.2

10

A.CED.2

5

10

Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.

10

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

10

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

10

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

-2x - 5 for x = 3

Enter only a number.

10

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

¼x + 2 for x = 16

Enter only a number.

10

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

8 - 5n for n = 3

Enter only a number.

10

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

A.CED.2

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.

10

Solve It! The diagram shows how long it takes to hear thunder after you see lightning. What general rule can you use to model this situation?

A.CED.2

10

Problem 3 Got it? Weight on the moon y varies directly with weight on Earth x. A person who weighs 100 lb on Earth weighs 16.6 lb on the moon. What is an equation that relates weight on earth x and weight on the moon y? What is the graph of this equation?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

10

A.CED.2

10

A.CED.2

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The ordered pair (0, 0) is a solution of the direct variation equation y = kx.

Always

Sometimes

Never

Vocabulary: Determine whether each statement is always, sometimes, or never true.

You can write a direct variation in the form below.

Always

Sometimes

Never

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The constant of variation for a direct variation represented by y = kx is y/x.

Always

Sometimes

Never

Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.

2

-2

1

-1

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

6a + 3 for a = 2

9

65

12

15

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

-2x - 5 for x = 3

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

¼x + 2 for x = 16

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

8 - 5n for n = 3

Enter only a number.

Vocabulary Review: Classify each formula from the image below as representing slope or not representing slope.

Formula A
Formula B
Formula C

Represents slope
Does NOT represent slope

Use Your Vocabulary: Drag the correct word from the list to complete each sentence.

directly
direct
directions

Renee gave the visitor __?__ to the museum.
The fans went __?__ to their seats.
There is a __?__ connection between the outside temperature and the number of people at the beach.

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 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 4 Got It?

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The ordered pair (0, 0) is a solution of the direct variation equation y = kx. 

Always

Sometimes

Never

Vocabulary: Determine whether each statement is always, sometimes, or never true.

You can write a direct variation in the form below.

Always

Sometimes

Never

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The constant of variation for a direct variation represented by y = kx is y/x.

Always

Sometimes

Never

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.

2

-2

1

-1

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

6a + 3 for a = 2

9

65

12

15

Vocabulary Review: Classify each formula from the image below as representing slope or not representing slope. 

Formula A

Formula B

Formula C

Represents slope

Does NOT represent slope

Use Your Vocabulary: Drag the correct word from the list to complete each sentence.

directly

direct

directions

Renee gave the visitor __?__ to the museum.

The fans went __?__ to their seats.

There is a __?__ connection between the outside temperature and the number of people at the beach.

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 4 Got It?

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

Algebra 1 5-2 Complete Lesson: Direct Variation

Algebra 1 5-2 Complete Lesson: Direct Variation

Solve It! The diagram shows how long it takes to hear thunder after you see lightning. What general rule can you use to model this situation?

Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.Enter only a number. If necessary, use fraction form.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.Enter only a number. If necessary, use fraction form.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.-2x - 5 for x = 3Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.¼x + 2 for x = 16Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.8 - 5n for n = 3Enter only a number.

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! The diagram shows how long it takes to hear thunder after you see lightning. What general rule can you use to model this situation?

Vocabulary: Determine whether each statement is always, sometimes, or never true.The ordered pair (0, 0) is a solution of the direct variation equation y = kx.

Vocabulary: Determine whether each statement is always, sometimes, or never true.You can write a direct variation in the form below.

Vocabulary: Determine whether each statement is always, sometimes, or never true.The constant of variation for a direct variation represented by y = kx is y/x.

Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.Enter only a number. If necessary, use fraction form.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.Enter only a number. If necessary, use fraction form.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.6a + 3 for a = 2

Review Lesson 1-2: Evaluate the expression for the given value of the variable.-2x - 5 for x = 3Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.¼x + 2 for x = 16Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.8 - 5n for n = 3Enter only a number.

Vocabulary Review: Classify each formula from the image below as representing slope or not representing slope.

Use Your Vocabulary: Drag the correct word from the list to complete each sentence.

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 1 Got It?

Problem 2 Got It?

Problem 4 Got It?

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

-2x - 5 for x = 3

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

¼x + 2 for x = 16

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

8 - 5n for n = 3

Enter only a number.

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.

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The ordered pair (0, 0) is a solution of the direct variation equation y = kx.

Vocabulary: Determine whether each statement is always, sometimes, or never true.

You can write a direct variation in the form below.

Vocabulary: Determine whether each statement is always, sometimes, or never true.

The constant of variation for a direct variation represented by y = kx is y/x.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
Enter only a number. If necessary, use fraction form.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

6a + 3 for a = 2

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

-2x - 5 for x = 3

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

¼x + 2 for x = 16

Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

8 - 5n for n = 3

Enter only a number.

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.