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System of Linear Inequalities

  • 9-12 grade

Lesson Description:

Students find the region where the ball can travel to score the goal. This lesson helps skills on the system of linear inequalities and constraint solutions within the context.


 

Standards Covered

CCSS.MATH.CONTENT.HSA.CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

CCSS.MATH.CONTENT.HSA.REI.D.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

CCSS.MATH.PRACTICE.MP1

Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP2

Reason abstractly and quantitatively.

CCSS.MATH.PRACTICE.MP4

Model with mathematics.

CCSS.MATH.PRACTICE.MP5

Use appropriate tools strategically.

CCSS.MATH.PRACTICE.MP6

Attend to precision.

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Lesson Modules


Teaching Tips:

Show the video to the class and have the students answer the poll question. 
Share the poll results with the class. 

NAO Robot is a great soccer player. Even if it falls from time to time. Watch the video below and answer the following question.





What the robot needs to know in order to score a goal? Type your answer only in one word.


Teaching Tips:

Have students play with the interactive tools and answer the question at the end of this module. 

Explore the relationships between the inequalities:

Discuss with your peers while playing the interactive tools.

  • What's the meaning of the lines?
  • Can the ball reach the goal if it travels out of the marked area?








 


Now that you discussed that, try to answer the question below.


How can you express all the possible positions of the ball that are on the right track?


Teaching Tips:

Have students play with the simulation before connecting the physical robot.

Make sure the students use the Robot Master to make it clear who is connecting the robot. Remember, if the robot is not disconnected properly, you have to wait for 15 minutes or have to reboot the robot to be able to connect to another computer.

You can facilitate the game environment as a team competition for this activity.


Before proceeding with the physical robot, familiarize yourself with the Robot anc choregraphe interface. Take a moment to explore its features and understand how to connect and disconnect the robot properly. Remember, a proper disconnection is crucial to avoid waiting times or unnecessary reboots.

Now, let's add a fun twist! Make the simulation and get ready to make NAO score some goals!!!



Teaching Tips:

Have students answer the self-reporting questions. You will have access to the data on the dashboard. 

If time is allowed, have a quick discussion with the class about what went well and what could have done differently to help better learning. 

After you completed this lesson, you should be able to recognize the system of inequalities as to express a region on the xy-plane. Reflect on your knowledge and mark how much you understand. Be honest as these questions, you won't be graded based on your responses.

I Know what is a Linear inequality
  • Not at all
  • Not really
  • Kind of understood
  • Pretty much understood
  • Totally got it
 

Explain in what context you used linear inequalities to express what values.
 

I know how to use a system of linear inequalities
  • Not at all
  • Not really
  • Kind of understood
  • Pretty much understood
  • Totally got it
 

Explain why using the system of linear inequalities is useful to solve the problem in this lesson. Would you do it differently?