8.MATH.7.D
Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
distancetwo pointscoordinate planePythagorean Theorem
Skills
- identify (two points on a coordinate plane) #dok1
- apply (the Pythagorean Theorem to find distance) #dok2
- calculate (the distance between two points) #dok2
- explain (how the Pythagorean Theorem relates to distance calculation) #dok3
- justify (the use of the Pythagorean Theorem in distance problems) #dok3
Learning Targets
- I can identify two points on a coordinate plane. #dok1
- I can use the Pythagorean Theorem to calculate the distance between two points on a coordinate plane. #dok2
- I can apply the distance formula derived from the Pythagorean Theorem. #dok2
- I can explain how the Pythagorean Theorem helps in calculating distances on a coordinate plane. #dok3
- I can justify my use of the Pythagorean Theorem when solving distance problems between two points. #dok3
Big Ideas
- The Pythagorean Theorem can be used to determine the distance between any two points on a coordinate plane.
- Understanding the relationship between geometric figures and algebraic formulas enables problem solving in real-world contexts.
Essential Questions
- How can we find the distance between any two points on a coordinate plane?
- Why is the Pythagorean Theorem useful for calculating distances in a coordinate system?
- In what real-world situations might you need to calculate the distance between two locations on a map or graph?
- How does plotting points and drawing shapes help us visualize and solve problems involving distance?
- What is the connection between the distance formula and the Pythagorean Theorem?