Algebra 2 5-1 Complete Lesson: Polynomial Functions

3.5 (2 ratings)

by Matthew Richardson

| 29 QuestionsNote 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.

1

10 pts

Solve It! The first column shows a sequence of numbers.

◆ For 1st differences, subtract consecutive numbers in the sequence: -6-(-4) = -2, 4-(-6) = 10, and so on.

◆ For 2nd differecnes, subtract consecutive first differences.

◆ For 3rd differences, subtract consecutive second differences.

If the pattern continues, what is the 8th number in the first column?

8

502

1074

848

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

10 pts

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.

- up and down
- down and up

- End behavior
- Turning points
- Increasing
- Decreasing

6

10 pts

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.

7

10 pts

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.

- up and down
- down and up
- no turning points

- End behavior
- Turning points
- Increasing

8

10 pts

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.

9

10

9

10 pts

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

2

3

4

5

10

10 pts

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?

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

10 pts

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

up and down

down and down

down and up

up and up

16

10 pts

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

18

10 pts

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

19

10 pts

Review Lesson 4-4: Factor the quadratic expression.

(x + 6)(x + 1)

(x + 3)(x + 4)

(x + 5)(x + 2)

(x - 7)(x - 1)

20

10 pts

Review Lesson 4-4: Factor the quadratic expression.

21

10 pts

Review Lesson 4-4: Factor the quadratic expression.

22

10 pts

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

- standard form
- NOT standard form

23

10 pts

Use Your Vocabulary: Identify the polynomial expression.

- Polynomial expression

24

10 pts

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

- Can be represented by a polynomial

25

5 pts

Use Your Vocabulary: How many terms are in the polynomial ?

Enter only a number.

26

5 pts

Use Your Vocabulary: How many terms are in the polynomial ?

Enter only a number.

27

5 pts

Use Your Vocabulary: How many terms are in the polynomial ?

Enter only a number.

28

100 pts

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.

29

10 pts

Reflection: Math Success

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.