Polynomial Functions 1 M2 (4/4)

Polynomial Functions 1

Principles of Mathematical Modeling

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 4

Section 5

Section 6

In this first section, solve the mathematical problems by analizing all the answers as a team before choosing the solution to share and contrast ideas and generate new knowledge together.

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Problem 1

a) No b) Yes c) No d) Yes

a) Yes b) No c) No d) Yes

a) No b) No c) Yes d) Yes

Problem 2

a) Yes b) No c) No d) No

a) Yes b) No c) No d) Yes

a) Yes b) No c) Yes d) No

You got it!

Move on to the next section...

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 6

Section 5

Section 4

Problem 3

0, -6, -1

0, 6, 1

5, 6, -1

Problem 4

-5, -9

0, -5, -9

-5, 9

Until now, you have made progress on the past exercises. Which of the principles of cooperative learning has been the most useful to you in solving the problems?

Showing respect for the collaboration and contribution of each team member

Giving opportunity for everyone to contribute

Reflecting together on the processes we follow to solve the problems

Everyone favors a good work environment

Problem 5

Zero(s) multiplicity one: 8, -9 Zero(s) multiplicity two: 12 Zero(s) multiplicity three: none

Zero(s) multiplicity one: 0, 8, -9 Zero(s) multiplicity two: -12 Zero(s) multiplicity three: none

Zero(s) multiplicity one: 0, -8, 9 Zero(s) multiplicity two: 12 Zero(s) multiplicity three: none

You got it!

Move on to the next section...

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 6

Section 5

Section 4

In this section, all of the team members should take turns to present what they think might be the possible solution to each of the problems, as well as listen the proposals of his/her other team members. After this, and as a team, you will agree and choose the correct answer.

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Problem 6

f(x)= (x-9)(x+8)(x+6)

f(x)= (x+9)(x-8)(x-6)

f(x)= (x+9)(x+8)(x+6)

Problem 7

f(x) = x(x-8)2(x+2)

f(x) = (x+8)2(x-2)

f(x) = x(x+8)2(x-2)

You got it!

Move on to the next section...

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 6

Section 5

Section 4

Problem 8

y-intercept: 0 x-intercepts: 0 , 2 , 4

y-intercept: 0 x-intercepts: 0 , -2 , -4

Complete the following phrase:

"_______ we can do so little; _______ we can do so much".

together ; alone

cooperatively ; all alone

alone ; together

-Helen Keller

Problem 9

x-intercepts: -2 , -5/2 y-intercept: 10

x-intercepts: 2 , 5/2 y-intercept: 0

You got it!

Move on to the next section...

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 6

Section 5

Section 4

Problem 10

a) Falls to the left and rises to the right b) Falls to the left and rises to the right c) Rises to the left and rises to the right

a) Rises to the left and rises to the right b) Falls to the left and rises to the right c) Falls to the left and falls to the right

You're almost done! But before we finish, as a team decide which is the best answer for the following problem...

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Problem 11

Consider the following polynomial to graph the function.

You got it!

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Polynomial Functions 1

Solve each of the following problems as a team to reach the goal:

Section 1

Section 2

Section 3

Section 6

Section 5

Section 4

Problem 12

Choose the graph that corresponds to it.

Problem 13

Consider the following polynomial function.

Problem 14

a) -3 , 3 , 8 b) positive c) 6 , 8 , 10 ...

a) -5 , 0 , 6 b) positive c) 7 , 9 , 11 ...

a) x-values where function has local maxima? b) Sign of leading coefficient? c) Possibility for the degree of the function?

a) -5 , 0 , 6 b) negative c) 6 , 8 , 10 ...

If you had to re-do the activity, what would you like to do again as a team?

Listen to all perspectives from all team members

Reflect all together

Build the solution to the problems as a team

Share ideas to get to a common point of view

Congrats! You reached the goal!!

You have completed all sections, the activity is over.

Great!

Polynomial Functions 1

Great! You have completed all sections. Please continue to get your certificate...

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Principles of Mathematical Modeling

Congratulations!!

Certificate of completion

Thanks for participating on our last activity. See you next time...

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Great!!

You've been applying one of the principles of cooperative learning, which is fundamental to co-create our knowledge.

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Great!

You're now more aware of the importance of cooperative learning and how it helps us reach our goals while building and sharing knowledge with others.

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