# 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 Descartes’ 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 4x4 grid on floor using the masking tape. Each square should measure 1x1 foot.
- Separate the classroom into teams of 4 students.
- Ask each team to create a secret message (sentence) containing 8 words in total (including articles and prepositions).
- On 8 sticky notes, write one word of the secret sentence per note on the sticky side.
- For each sticky note, write the following numbers in that order on the non-sticky side:
- For remaining grid squares, write random numbers in base 10 (different than the ones above) with no words written down on the non-sticky side, leaving one square empty for the MathBot to start in.

**7x10**

^{1}, 1x10^{2}, 30x10^{1}, 9x10^{2}, 3x10^{4}, 5x10^{4}, 7x10^{5}, 2x10^{2}**Student Teams' Preliminary Tasks (Robot Independent):**

- Sort numbers in ascending order:
- Identify each one of these numbers in the grid by their row and column. For example, number 7x10
^{1}is at column 1, row 2. - Once you have the row and column of each number in the grid, plan a trajectory for the robot to follow. For example, if the robot starts at position (0,1), where 0 is the column and 1 is the row, and the next location to be visited is column 1, row 2, your robot can perform the two of the following trajectories:

**7x10**

^{1}, 1x10^{2}, 30x10^{1}, 9x10^{2}, 3x10^{4}, 5x10^{4}, 7x10^{5}, 2x10^{2}**Student Teams' Robotic Tasks (Robot Dependent):**