# Summary

The Cartesian coordinate system, invented by the 17th century mathematician, Rene Descartes, showed a way to connect Geometry and Algebra. This lesson will take you on a journey into Descartesâ€™ world and teach you to understand this world, navigate it, and master it with MathBot.

# Learning Outcomes

Students will:

- Learn to locate points and specify locations in the cartesian plane
- Navigate, plan, and reflect upon trajectories of a robot in a static environment
- Learn about powers of 10
- Learn about geometric shapes

# Mathematics Florida Standards (MAFS) Grade 5

MAFS.F.OA.1.1; MAFS.F.OA.1.2; MAFS.F.MD.1.1; MAFS.F.G.1.1; MAFS.F.G.1.2; MAFS.F.G.2.3; MAFS.F.G.2.4;

# Exercise

**Teacher Setup:**

- Set up a coordinated grid using the masking tape.
- Add 4 locations (starting point, church, mall and school) according to the following schematic; however, do not write down the location/coordinate because the students will be responsible for providing with the correct points:
- Place the robot at the starting point.

**Student Teams' Robotic Tasks (Robot Dependent):**

- Provide a written trajectory for the MathBot to go to the school following the correct coordinates. (Example: to arrive the mall, the MathBot needs to move the following trajectory: (1,0)->(1,2)->(1,3)
- Program the robot to park in front of the school on the correct square point. Remember to avoid hitting any obstacle.
- What is the distance of the trajectory selected in the previous questions?
- Program the robot to return to the starting point avoiding any coordinate already visited.
- What is the distance of the trajectory designed in the previous questions?