Algebra 2 2-1 Complete Lesson: Relations and Functions

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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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Algebra 2 2-1 Complete Lesson: Relations and Functions

Algebra 2 2-1 Complete Lesson: Relations and Functions

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

Problem 2 Got It?

Problem 3 Got It? Is the relation a function?

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

Reasoning: Why is there no horizontal-line test for functions?

Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

Review Lesson 1-4: Solve the equation for y.

Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

Use Your Vocabulary: Match each description on the left with the appropriate set on the right.

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.

Reflection: Math Success

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

Solve It! Can two different sets of 12 digits have the same check digit?

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

Problem 2 Got It?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Resoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

Reasoning: Why is there no horizontal-line test for functions?

Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

Review Lesson 1-4: Solve the equation for y.

Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

Use Your Vocabulary: Match each description on the left with the appropriate set on the right.

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.

Reflection: Math Success

Solve It! Can two different sets of 12 digits have the same check digit?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Resoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?

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.