7adv.MATH.11.G | Texas Essential Knowledge and Skills (TEKS)

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distancetwo pointscoordinate planePythagorean theorem

determine (distance between two points on a coordinate plane using the Pythagorean theorem) #dok2
apply (the Pythagorean theorem to real-world and mathematical problems involving distance) #dok2
analyze (coordinate plane to identify appropriate segments to use in the Pythagorean theorem) #dok2
explain (the relationship between coordinate differences and the triangle formed to calculate distance) #dok3

I can identify the coordinates of two points on a coordinate plane. #dok1
I can calculate the horizontal and vertical distances between two points. #dok1
I can substitute values into the Pythagorean theorem to find distance. #dok2
I can determine the distance between two points on a coordinate plane using the Pythagorean theorem. #dok2
I can explain why the Pythagorean theorem applies to distance between points on a coordinate plane. #dok3
I can solve real-world problems by applying the Pythagorean theorem to distances on a coordinate plane. #dok3

The Pythagorean theorem provides a method for finding the distance between two points on a coordinate plane.
Connecting algebra and geometry through the coordinate plane and the Pythagorean theorem deepens understanding of distance in mathematics.

How do you find the distance between two points on a coordinate plane?
Why does the Pythagorean theorem work for finding distance on a coordinate plane?
How can you apply the distance formula to solve real-world problems?
What is the relationship between horizontal and vertical differences and the length of the segment connecting two points?
In what situations is finding the distance between two points useful in mathematics and in everyday life?