U5 - Lesson 3: Distances in the Coordinate Plane

Learning Target:I can find the distance between two points in the coordinate plane.I can find the length of a diagonal line segment in the coordinate plane. Define the following:Coordinate Plane-Ordered Pair- Warm Up: Between two points #1 Find the distance between the two ordered pairs given by finding the difference between either their x or y points. For the last box, create your own two points and find the distance between those as well! Ordered pairs Distance Apart (2,4) and (2,10) (-3,6) and (5, 6) (-12, -12) and (-12, -1) (7,0) and (7, -9) (1, -10) and (-4, -10) #2 Describe the way you found the distance between the two points. What would have made it easier to find the distance? Finding the Diagonal Distances of two points Watch the video and answer ALL questions throughout New Skill: Finding the distance diagonally #3 When two points share an x or y coordinate it is easy to find the distance because we can simply subtract the two different numbers. When BOTH of the coordinates are different we have to use a slightly different strategy. Looking at the image below try and find the distances between all three points. Use the video above if you get stuck! Ordered Pairs Distance (-14,9) and (-14 -3) (-14, -3) and (16, -3) (-14, 9) and (16, -3) Desmos Graph "Paper" Major Key Question 1: #4 If we connected all of the dots on this coordinate plane, what type of triangle would we create? Why is that important for finding the third length? Major Key Question 2: #5 What theorem are we using to solve for the distance between two points on a coordinate plane if they are diagonal? Key take-aways: 1. When finding the length between two points on a coordinate plane we can draw a right triangle around the points.2. This right triangle allows us to use the Pythagorean Theorem to find the diagonal distance. Exit Ticket:Calculate the lengths of segments e and f using the strategies from the previous problems. The length of e = _The length of f = _ What challenge did you face during the learning? What would you like me to review in class?