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Algebra 2 2-2 Complete Lesson: Direct Variation

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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.
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Question 2
2.

Problem 1 Got It?

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Question 3
3.

Problem 1 Got It?

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Question 4
4.

Problem 2 Got It?

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Question 5
5.

Problem 2 Got It?

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Question 6
6.

Problem 3 Got It?

Question 7
7.

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?

Question 8
8.

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

Question 9
9.

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

Question 10
10.

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


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Question 11
11.
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Question 12
12.
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Question 13
13.
Question 14
14.

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

Question 16
16.

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

Question 17
17.

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)}
Question 18
18.

Review Lesson 1-3: Evaluate the expression for x = -2.
Respond with only a number. Use decimal form if necessary.

Question 19
19.

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

Question 20
20.

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

Question 21
21.

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

Question 22
22.

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

  • Not equal to the other three ratios
Question 23
23.

Vocabulary Review: Match each proportion with its solution.

  • x = 2
  • x = 4
  • x = 6
  • x = 10/7
Question 24
24.

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.
Question 25
25.

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.

Question 26
26.

Reflection: Math Success

Question 1
1.

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.