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Algebra 1 5-2 Complete Lesson: Direct Variation

By Matt Richardson
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Last updated about 2 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.
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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?
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Problem 1 Got It?
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Problem 2 Got It?
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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.
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Problem 4 Got It?
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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.
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Vocabulary: Determine whether each statement is always, sometimes, or never true.

You can write a direct variation in the form below.
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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.
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Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.
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Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
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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.
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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.
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Review Lesson 1-2: Evaluate the expression for the given value of the variable.

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

-2x - 5 for x = 3

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

ΒΌx + 2 for x = 16

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

8 - 5n for n = 3

Enter only a number.
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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
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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.
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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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Reflection: Math Success
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