Twa kɔ nsɛm atitiriw so

Sign up for FREE

Algebra 2 5-1 Complete Lesson: Polynomial Functions

Last updated over 4 years ago

29 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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.

10

10

A.SSE.1.a

F.IF.7.c

10

F.IF.7.c

10

A.SSE.1.a

F.IF.7.c

10

F.IF.7.c

10

A.SSE.1.a

F.IF.7.c

10

A.SSE.1.a

F.IF.7.c

10

A.SSE.1.a

F.IF.7.c

10

F.IF.7.c

10

A.SSE.1.a

10

A.SSE.3.a

10

A.SSE.3.a

10

10

10

F.IF.7.c

5

A.SSE.1.a

5

A.SSE.1.a

5

A.SSE.1.a

100

10

A.SSE.1.a

F.IF.7.c

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

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?

502

848

8

1074

10

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Problem 1 Got It?

A

B

C

D

A.SSE.1.a

10

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Problem 1 Got It?

A

B

C

D

A.SSE.1.a

10

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Problem 2 Got It?

A

B

C

D

A.SSE.1.a

F.IF.7.c

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

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.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

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.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.

10

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

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

2

3

4

5

A.SSE.1.a

F.IF.7.c

10

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

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?

A.SSE.1.a

F.IF.7.c

10

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

A

B

C

D

A.SSE.1.a

10

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

A

B

C

D

A.SSE.1.a

10

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

A

B

C

D

A.SSE.1.a

10

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

A

B

C

D

A.SSE.1.a

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

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

down and down

down and up

up and down

up and up

Asemmisa {{asɛmmisaAhyɛnsode}}

16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

18.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

19.

Review Lesson 4-4: Factor the quadratic expression.

(x - 7)(x - 1)

(x + 5)(x + 2)

(x + 3)(x + 4)

(x + 6)(x + 1)

Asemmisa {{asɛmmisaAhyɛnsode}}

20.

Review Lesson 4-4: Factor the quadratic expression.

Asemmisa {{asɛmmisaAhyɛnsode}}

21.

Review Lesson 4-4: Factor the quadratic expression.

Asemmisa {{asɛmmisaAhyɛnsode}}

22.

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

standard form
NOT standard form

Asemmisa {{asɛmmisaAhyɛnsode}}

23.

Use Your Vocabulary: Identify the polynomial expression.

Polynomial expression

Asemmisa {{asɛmmisaAhyɛnsode}}

24.

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

Can be represented by a polynomial

Asemmisa {{asɛmmisaAhyɛnsode}}

25.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

26.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

27.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

28.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}

29.

Reflection: Math Success