Algebra 2 5-1 Complete Lesson: Polynomial Functions

Last updated about 4 years ago

29 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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Algebra 2 5-1 Complete Lesson: Polynomial Functions

Algebra 2 5-1 Complete Lesson: Polynomial Functions

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Identify the end behavior and turning points of the graph of the function as well as any intervals in which the graph is increasing or decreasing.

Problem 3 Got It? Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Note the end behavior and turning points of the graph and any intervals in which the graph is increasing or decreasing. You may revise your responses to the previous item, as needed.

Problem 3 Got It? Identify the end behavior and turning points of the graph of the function as well as any intervals in which the graph is increasing and/or decreasing.

Problem 3 Got It? Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Note the end behavior and turning points of the graph and any intervals in which the graph is increasing or decreasing. You may revise your responses to the previous item, as needed.

Problem 4 Got It? Reasoning: What is an example of a polynomial function whose fifth differences are constant, but whose fourth differences are not constant?

Vocabulary: Describe the end behavior of the graph of the function.

Reasoning: Can the graph of a polynomial function be a straight line? If so, give an example.

Review Lesson 2-4: Match each equation in the left column with its standard form version in the right column.

Review Lesson 4-4: Factor the quadratic expression.

Review Lesson 4-4: Factor the quadratic expression.

Review Lesson 4-4: Factor the quadratic expression.

Vocabulary Review: Tag each quadratic espression based on whether or not it is in standard form.

Use Your Vocabulary: Identify the polynomial expression.

Vocabulary Review: Identify the graphs that can be represented by a polynomial.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

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

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Identify the end behavior and turning points of the graph of the function as well as any intervals in which the graph is increasing or decreasing.

Problem 3 Got It? Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Note the end behavior and turning points of the graph and any intervals in which the graph is increasing or decreasing. You may revise your responses to the previous item, as needed.

Problem 3 Got It? Identify the end behavior and turning points of the graph of the function as well as any intervals in which the graph is increasing and/or decreasing.

Problem 3 Got It? Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Note the end behavior and turning points of the graph and any intervals in which the graph is increasing or decreasing. You may revise your responses to the previous item, as needed.

Problem 4 Got It? What is the degree of the polynomial function that generates the data in the table?

Problem 4 Got It? Reasoning: What is an example of a polynomial function whose fifth differences are constant, but whose fourth differences are not constant?

Vocabulary: Describe the end behavior of the graph of the function.

Reasoning: Can the graph of a polynomial function be a straight line? If so, give an example.

Review Lesson 2-4: Match each equation in the left column with its standard form version in the right column.

Review Lesson 4-4: Factor the quadratic expression.

Review Lesson 4-4: Factor the quadratic expression.

Review Lesson 4-4: Factor the quadratic expression.

Vocabulary Review: Tag each quadratic espression based on whether or not it is in standard form.

Use Your Vocabulary: Identify the polynomial expression.

Vocabulary Review: Identify the graphs that can be represented by a polynomial.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ? Enter only a number.

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

Problem 4 Got It? What is the degree of the polynomial function that generates the data in the table?

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

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.

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

Use Your Vocabulary: How many terms are in the polynomial ?
Enter only a number.

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.