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Algebra 2 2-3 Complete Lesson: Linear Functions and Slope-Intercept Form

Last updated almost 4 years ago
25 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! By what value do you multiply height h to get height H?

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number.

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

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Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

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Problem 2 Got It? What is the equation of a line with m = 6 and y-intercept (0, 5)?

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Problem 2 Got It? What is the equation of a line graphed below?

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Problem 2 Got It? Reasoning: In the previous item, do you get a different equation if you use (-6, 0) and the y-intercept to find the slope of the line? Explain.

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It? What is the graph of the equation? Hint: convert the equation to slope-intercept form.

Verification

Graph the equation from the previous item on the embedded Desmos graphing utility below. Note any differences between the Desmos graph and your graph above. Edit your graph above if necessary.
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Vocabulary: What is a y-intercept? How is a y-intercept different from an x-intercept?

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Error Analysis: A classmate found the slope between two points. What error did she make?

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Review Lesson 2-1: Match each relation with its domain.

  • Domain: {-2, -1, 2, 3}
  • Domain: all real numbers
  • Domain: {-2, 1, 2, 3, 4}
  • Domain: {-5, 0, 2, 9}
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Review Lesson 2-1: Match each relation with its range.

  • Range: {-2, -1, 2, 3}
  • Range: all real numbers y ≥ -2
  • Range: {-2, 1, 2, 3, 4}
  • Range: {-3, -1, 5, 15}
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Review Lesson 2-1: Categorize each relation as a function or NOT a function.

  • Function
  • NOT a function
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Review Lesson 1-3: Match each function with its value for x = 0.

  • 5x + 2
  • (x - 4) + 12
  • 13 - 6.5x
  • 13
  • 8
  • 2
  • 5
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Vocabulary Review: Classify each relation based on whether or not it is a function.

  • {(0, 1), (-1, 3), (0, 4)}
  • Function
  • NOT a function
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Use Your Vocabulary: Use the graph below. Match each line in the left column with its slope type on the right.

  • line a
  • line b
  • line c
  • line d
  • Positive slope
  • Negative slope
  • Zero slope
  • undefined
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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