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Algebra 2 5-1 Complete Lesson: Polynomial Functions

Posljednje ažuriranje over 4 years ago

29

Napomena autora:

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

Pitanje 1

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

Pitanje 2

2.

Problem 1 Got It?

A

B

C

D

A.SSE.1.a

10

Pitanje 3

3.

Problem 1 Got It?

A

B

C

D

A.SSE.1.a

10

Pitanje 4

4.

Problem 2 Got It?

A

B

C

D

A.SSE.1.a

F.IF.7.c

Pitanje 5

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

Pitanje 6

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.

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.

Pitanje 7

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

Pitanje 8

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.

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.

10

Pitanje 9

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

Pitanje 10

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

Pitanje 11

11.

A

B

C

D

A.SSE.1.a

10

Pitanje 12

12.

A

B

C

D

A.SSE.1.a

10

Pitanje 13

13.

A

B

C

D

A.SSE.1.a

10

Pitanje 14

14.

A

B

C

D

A.SSE.1.a

Pitanje 15

15.

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

down and down

down and up

up and down

up and up

Pitanje 16

16.

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

Pitanje 18

18.

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

Pitanje 19

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)

Pitanje 20

20.

Review Lesson 4-4: Factor the quadratic expression.

Pitanje 21

21.

Review Lesson 4-4: Factor the quadratic expression.

Pitanje 22

22.

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

standard form
NOT standard form

Pitanje 23

23.

Use Your Vocabulary: Identify the polynomial expression.

Polynomial expression

Pitanje 24

24.

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

Can be represented by a polynomial

Pitanje 25

25.

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

Pitanje 26

26.

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

Pitanje 27

27.

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

Pitanje 28

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.

Pitanje 29

29.

Reflection: Math Success