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Created on March 11, 2022
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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
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This answer is incorrect...
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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.