# 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 4x4 grid on floor using the masking tape. Each square should measure 1x1 foot.
- Separate the classroom into teams of 4 students.
- On the non-sticky side of each of the 8 sticky notes, draw the following geometric figures:
- 1 square whose each side length is 2.5cm
- 1 square whose each side length is 5cm
- 1 square whose each side length is 7.5cm
- 1 square whose each side length is 10cm
- 1 rectangle 3cm x 4cm
- 1 rectangle 5cm x 6cm
- 1 rectangle 7m x 8cm
- 1 rectangle 9cm x 10cm
- Randomly place the sticky notes on different cells of the grid.
- Leave the remaining squares of the grid empty and place the robot in one of the empty squares to start in.

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

- Program the robot to pause on the correct square, one at a time, in the grid, following the order:
- Visit a square whose perimeter is 20cm
- Visit a square whose area is 100cm square
- Visit a rectangle whose area is 30cm
- Visit a rectangle whose perimeter is 22cm
- Visit a rectangle whose perimeter is 38cm
- Visit a rectangle whose area is 12cm squared
- Visit a square whose perimeter is 30cm
- Visit a square whose area is 25cm squared
- Remember that the robot cannot visit the same location twice.
- Once all squares are visited, draw the trajectory performed by the robot in the following grid, highlighting the start square.

**CHALLENGE:**

- Program the robot to perform the shortest trajectory in distance to arrive at the school.
- How did you find the shortest distance?