Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines

Last updated about 4 years ago

26 questions

Note from the author:

10

G.GPE.5

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G.GPE.5

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G.GPE.5

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G.GPE.5

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G.GPE.5

5

10

G.GPE.5

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G.GPE.5

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A.REI.10

10

A.REI.10

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100

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Library

Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines

Last updated about 4 years ago

26 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

10

Solve It! Can you draw a line that will intersect one of the lines in such a way that the intersection forms four congruent angles? Explain.

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

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G.GPE.5

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G.GPE.5

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Open-Ended: Write equations of two parallel lines.

G.GPE.5

10

Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?

G.GPE.5

10

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.REI.10

10

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.REI.10

10

Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.

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 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

10

Solve It! Can you draw a line that will intersect one of the lines in such a way that the intersection forms four congruent angles? Explain.

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

10

G.GPE.5

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

Which equation below has a graph that is perpendicular to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

What is an equation of the line that passes through (3, -1) and is parallel to the equation below?
Give your answer in slope-intercept form.

y = 4x + 11

y = -4x + 11

y = (-1/4)x + 11

y = (1/4)x + 11

What is an equation of the line that passes through (2, -3) and is perpendicular to y = x - 5?

Give your answer in slope-intercept form.

y = x + 1

y = -x + 1

y = x - 1

y = -x - 1

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Open-Ended: Write equations of two parallel lines.

Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?

Review Lesson 5-5: What is the x-intercept of the line given by the equation?

(4, 4)

(7, 1)

(8, 0)

Review Lesson 5-5: What is the y-intercept of the line given by the equation?

(0, 8)

(8, 0)

(2, 6)

(4, 4)

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.

Vocabulary Review: What is the product of a number and its reciprocal ?

1

-1

100

0

Use Your Vocabulary: Complete each sentence with parallel or perpendicular.

parallel
perpendicular

The railroad tracks in Picture A are __?__.
The window bars in Picture B that do NOT meet are __?__.
The roads in Picture C are __?__.

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! If you copied the graph, could you draw a new line that would not intersect the other lines in the graph?

Yes

No

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

Problem 2 Got It?

A

B

C

Problem 3 Got It?

A

B

C

D

Problem 4 Got It? What equation could the architect enter to represent a second beam whose graph will pass through the corner at (0, 10) and be parallel to the existing beam. An equation that represents the existing beam is:

A

B

C

D

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

Which equation below has a graph that is perpendicular to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

What is an equation of the line that passes through (3, -1) and is parallel to the equation below?
Give your answer in slope-intercept form.

y = 4x + 11

y = -4x + 11

y = (-1/4)x + 11

y = (1/4)x + 11

What is an equation of the line that passes through (2, -3) and is perpendicular to y = x - 5?

Give your answer in slope-intercept form.

y = x + 1

y = -x + 1

y = x - 1

y = -x - 1

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

Review Lesson 5-5: What is the x-intercept of the line given by the equation?

(4, 4)

(7, 1)

(8, 0)

Review Lesson 5-5: What is the y-intercept of the line given by the equation?

(0, 8)

(8, 0)

(2, 6)

(4, 4)

Vocabulary Review: What is the product of a number and its reciprocal ?

1

-1

100

0

Use Your Vocabulary: Complete each sentence with parallel or perpendicular. 

parallel

perpendicular

The railroad tracks in Picture A are __?__.

The window bars in Picture B that do NOT meet are __?__.

The roads in Picture C are __?__.

Solve It! If you copied the graph, could you draw a new line that would not intersect the other lines in the graph?

Yes

No

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

Problem 2 Got It?

A

B

C

Problem 3 Got It?

A

B

C

D

Problem 4 Got It? What equation could the architect enter to represent a second beam whose graph will pass through the corner at (0, 10) and be parallel to the existing beam. An equation that represents the existing beam is: 

A

B

C

D

Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines

Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines

Solve It! Can you draw a line that will intersect one of the lines in such a way that the intersection forms four congruent angles? Explain.

Open-Ended: Write equations of two parallel lines.

Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.

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! Can you draw a line that will intersect one of the lines in such a way that the intersection forms four congruent angles? Explain.

Which equation below has a graph that is parallel to the graph of the equation given?

Which equation below has a graph that is perpendicular to the graph of the equation given?

Which equation below has a graph that is parallel to the graph of the equation given?

What is an equation of the line that passes through (3, -1) and is parallel to the equation below?Give your answer in slope-intercept form.

What is an equation of the line that passes through (2, -3) and is perpendicular to y = x - 5?Give your answer in slope-intercept form.

Vocabulary: The two numbers in the pair are opposite reciprocals.

Vocabulary: The two numbers in the pair are opposite reciprocals.

Vocabulary: The two numbers in the pair are opposite reciprocals.

Open-Ended: Write equations of two parallel lines.

Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?

Review Lesson 5-5: What is the x-intercept of the line given by the equation?

Review Lesson 5-5: What is the y-intercept of the line given by the equation?

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.

Vocabulary Review: What is the product of a number and its reciprocal ?

Use Your Vocabulary: Complete each sentence with parallel or perpendicular.

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! If you copied the graph, could you draw a new line that would not intersect the other lines in the graph?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? What equation could the architect enter to represent a second beam whose graph will pass through the corner at (0, 10) and be parallel to the existing beam. An equation that represents the existing beam is:

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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.

What is an equation of the line that passes through (3, -1) and is parallel to the equation below?
Give your answer in slope-intercept form.

What is an equation of the line that passes through (2, -3) and is perpendicular to y = x - 5?

Give your answer in slope-intercept form.

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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.