a1tD0000003mAq5IAE

Area in the Coordinate Plane (hard)

  • 9-12 grade

Lesson Description:

The students figure out the area of the region created by ball position, Nao player's position, and the goal posts. The positions have coordinates on the field.


 

Standards Covered

CCSS.MATH.CONTENT.HSG.GPE.B.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*

CCSS.MATH.PRACTICE.MP1

Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP3

Construct viable arguments and critique the reasoning of others.

CCSS.MATH.PRACTICE.MP4

Model with mathematics.

CCSS.MATH.PRACTICE.MP5

Use appropriate tools strategically.

CCSS.MATH.PRACTICE.MP6

Attend to precision.

CCSS.MATH.PRACTICE.MP7

Look for and make use of structure.

image description

Lesson Modules


Teaching Tips:

Show the image to the class and have students answer the poll question. 

Share the poll result and have a quick class discussion(less than 5 minutes) around the norms. Lead the discussion toward to the next module where the students will explore strategies to solve a challenge. 

See the triangle below. 




How can you find the area of the triangular region? Type your answer using only ONE word.


Teaching Tips:

Give students a limited time for this module. The students can try to solve the challenge individually or in a small group. 

The potential strategies that students might use:

  1. counting the unit (1 by 1) square and estimate the area visually.
  2. using the formula 1/2 * base * height
    • the common mistake here is to use the slanted side as a height
  3. subtracting right triangles from a rectangle. 

While the students are working on this module, monitor who is working on which strategy. At the end of this module, have students present their strategy and reason why they chose it. 

Make a connection between different strategies and discuss the cons. & pros. by using each strategy. The goal of this presentation is to lead the students to use the area of a rectangle and subtract areas of right triangles.

Play with the interactive tool below. Try to find a way to calculate the area of the triangular region.






Look at the image below. Estimate the area of the triangular region. Type your answer using only a number.



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 mark the self-reporting scores and answer the in-depth questions. You can access to the answers from the dashboard. 

You've learned how to use coordinates to compute areas of a triangle. Check how much you understand each concept and answer the questions below. 

I know how to use coordinates to compute areas of triangles and rectangles.
  • Not at all
  • Not really
  • Kind of understood
  • Pretty much understood
  • Totally got it

Explain your strategy to solve the challenge and how you applied geometric figures. Type your answer in a sentence.