Practice Mate 2 - 1/4

Applications of SLEs, Inequalities, Quadratic Equations & Graphs

Principles of Mathematical Modeling

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SLEs, Inequalities & Quadratics

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 interacting cooperatively with your classmates seeking to co-create the solution.

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Problem 1

Solve the following problem:

Problem 2

Solve the following problem:

You got it!

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SLEs, Inequalities & Quadratics

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

Problem 4

Determine which of the following states the solution in interval notation for: Then, graph your inequality:

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

Solve the compound inequality. State answer in interval notation.

You got it!

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SLEs, Inequalities & Quadratics

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

Solve the compound inequality. State answer in interval notation.

Problem 7

You got it!

Move on to the next section...

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SLEs, Inequalities & Quadratics

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

Use the quadratic formula to solve for x (find the roots).

Problem 9

Use the factoring method to solve for x (find the roots).

Complete the following phrase:

"If you want to go fast, go alone. If you want to go far, go...

by yourself

unaccompanied

together

-African proverb

You got it!

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SLEs, Inequalities & Quadratics

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

Transform the following equation to standard (vertex) form by completing the square. Then, state the vertex.

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

You got it!

Move on to the next section...

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SLEs, Inequalities & Quadratics

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

Answer the questions considering the following function: -Minimum or maximum value? -What's the minimum or maximum value? -Where does the minimum or maximum value occur?

- Minimum value - y = 1 - x = 5

- Maximum value - y = 5 - x = 1

- Maximum value - y = 1 - x = 5

- Minimum value - y = 5 - x = 1

Problem 13

a) line with a negative slope b) horizontal line c) parabola opening up

a) line with a negative slope b) vertical line c) parabola opening down

a) line with a negative slope b) vertical line c) parabola opening down

a) line with a positive slope b) horizontal line c) parabola opening up

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!

SLEs, Inequalities & Quadratics

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 first activity. See you next time...

This answer is incorrect...

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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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