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Laabri

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

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Last updated about 4 years ago
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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.

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

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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.

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3.

Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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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:

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8.

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

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9.

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

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10.

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

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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.

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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.

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

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

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

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Open-Ended: Write equations of two parallel lines.

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

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

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

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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.

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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.

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

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

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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 __?__.

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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.

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26.

Reflection: Math Success