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Principles of Mathematical Modeling
Applications of SLEs, Inequalities, Quadratic Equations & Graphs

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Principles of Mathematical Modeling

Applications of SLEs, Inequalities, Quadratic Equations & Graphs

Start

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

SLEs, Inequalities & Quadratics

In this first section, solve the mathematical problems by interacting cooperatively with your classmates seeking to co-create the solution.

Let's go!

Solve the following problem:

Problem 1

Problem 2

Solve the following problem:

Continue

Move on to the next section...

You got it!

SLEs, Inequalities & Quadratics

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

Problem 3

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

Problem 4

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

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?

Solve the compound inequality. State answer in interval notation.

Problem 5

Continue

Move on to the next section...

You got it!

SLEs, Inequalities & Quadratics

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

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.

Let's go...

Solve the compound inequality. State answer in interval notation.

Problem 6

Problem 7

Move on to the next section...

Continue

You got it!

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

SLEs, Inequalities & Quadratics

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

Problem 8

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

Problem 9

-African proverb

together

unaccompanied

by yourself

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

Complete the following phrase:

Move on to the next section...

Continue

You got it!

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

SLEs, Inequalities & Quadratics

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

Problem 10

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

Let's go!

Problem 11

Move on to the next section...

Continue

You got it!

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

Section 4

Section 5

Section 6

Section 3

Section 2

Section 1

SLEs, Inequalities & Quadratics

- Maximum value - y = 1 - x = 5

- Minimum value - y = 5 - x = 1

- Minimum value - y = 1 - x = 5

- Maximum value - y = 5 - x = 1

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?

Problem 12

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

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

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

Problem 13

Build the solution to the problems as a team

Share ideas to get to a common point of view

Reflect all together

Listen to all perspectives from all team members

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

Great!

Congrats! You reached the goal!!

You have completed all sections, the activity is over.

Let's go!

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

SLEs, Inequalities & Quadratics

Congratulations!!

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

Certificate of completion

Principles of Mathematical Modeling

Go Back

Try again, you can do this!

This answer is incorrect...

Continue

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

Great!!

Continue

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.