Algebra 1 5-2 Complete Lesson: Direct Variation
By Matt Richardson
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Last updated over 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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1.
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?
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?
Problem 1 Got It?
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Problem 2 Got It?
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.
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.
N.Q.2
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Problem 4 Got It?
Problem 4 Got It?
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10.
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.
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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11.
Vocabulary: Determine whether each statement is always, sometimes, or never true.
You can write a direct variation in the form below.
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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12.
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.
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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13.
Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.
Reasoning: Suppose q varies directly with p. Does this imply that p varies directly with q? Explain.
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14.
Review Lesson 5-1: Find the slope of the line that passes through the pair of points.
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.
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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16.
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.
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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17.
Review Lesson 1-2: Evaluate the expression for the given value of the variable.
6a + 3 for a = 2
Review Lesson 1-2: Evaluate the expression for the given value of the variable.
6a + 3 for a = 2
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18.
Review Lesson 1-2: Evaluate the expression for the given value of the variable.
-2x - 5 for x = 3
Enter only a number.
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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19.
Review Lesson 1-2: Evaluate the expression for the given value of the variable.
ΒΌx + 2 for x = 16
Enter only a number.
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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20.
Review Lesson 1-2: Evaluate the expression for the given value of the variable.
8 - 5n for n = 3
Enter only a number.
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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21.
Vocabulary Review: Classify each formula from the image below as representing slope or not representing slope.
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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22.
Use Your Vocabulary: Drag the correct word from the list to complete each sentence.
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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23.
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.
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
Reflection: Math Success
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