Algebra 2 2-2 Complete Lesson: Direct Variation

Last updated almost 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.
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Solve It! You are building a roof. You mark off four equal intervals from point A to point B. Then you place vertical posts as shown in the diagram. What are the heights of the four vertical posts? Select all that apply.

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Problem 1 Got It?

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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? The number of Calories varies directly with the mass of cheese. If 50 grams of cheese contain 200 Calories, how many Calories are in 70 grams of cheese?

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Problem 4 Got It? Reasoning: If y² varies directly with x², does that mean y must vary directly with x?

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Problem 4 Got It? Reasoning: Explain your response to the previous item.

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Problem 5 Got It? Graph each direct variation equation on the canvas.


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Vocabulary: Explain what it means for two variables to be directly related?

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Example: Give an example of a function that represents a direct variation.

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Review Lesson 2-1: Identify the graph of each relation.

  • {(0, 1,), (1, -3), (-2, -3), (3, -3)}
  • {(4, 0), (7, 0), (4, -1), (7, -1)}
  • {(1, 7), (2, 8), (3, 9), (4, 10)}
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Review Lesson 1-3: Evaluate the expression for x = -2.
Respond with only a number. Use decimal form if necessary.

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Review Lesson 1-3: Evaluate the expression for x = 0.
Respond with only a number. Use decimal form if necessary.

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Review Lesson 1-3: Evaluate the expression for x = 1.
Respond with only a number. Use decimal form if necessary.

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Review Lesson 1-3: Evaluate the expression for x = 4.
Respond with only a number. Use decimal form if necessary.

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Vocabulary Review: Identify the ratio that is NOT equal to the other three.

  • Not equal to the other three ratios
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Vocabulary Review: Match each proportion with its solution.

  • x = 2
  • x = 4
  • x = 6
  • x = 10/7
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Use Your Vocabulary: Complete each sentence on the right with the correct word from the left.

  • directly
  • direct
  • directions
  • Thomas gave the visitor __?__ to the stadium.
  • The fans went __?__ to their seats.
  • There was a __?__ connection between the team's scoring and the fans' cheering.
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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