The Big Idea (global relevance)
This unit is designed to re-teach the Pythagorean Theorem and to introduce the distance formula to students. The students will complete various activities that will help them understand and use the Pythagorean Theorem and the distance formula appropriately.
The Pythagorean Theorem and the distance formula are used in the areas of science and technology: all types of construction projects(including bridge building, buildings, homes, road construction). This unit will introduce students to the variety of areas in which the Pythagorean Theorem can be applied.
- How do you calculate the distance of a diagonal line?
- What if you had no ruler or tape measure, how would you be able to find the distance between two locations?
How can you use the Pythagorean Theorem to plot the best route between locations on the moon’s surface?
Pythagorean Theorem Video
- How do you find the length of a diagonal line?
- If you were in space and you had no measurement tools, how would you be able to calculate distance?
- What variables would affect distance traveled by the constructed rover?
Students will design and build a rover to calculate the distance the rover traveled. Students will then re-design their rover and try to make it go a further distance.
Unit Academic Standards
- Explain a proof of the Pythagorean Theorem and its converse.
- Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
- Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.