Lesson Plan Format Teacher Name Date Class Unit Lesson Time Jason Lerner September 22, 2011 GEO CPA Foundations for Geometry 1-6 Midpoint 41 minutes Learning Objective(s): 1. I will be able to find the midpoint of a segment given both endpoints. 2. I will be able to find the endpoint of a segment given 1 endpoint and the midpoint of the segment. NJCCCS: 4.2.12.A Geometric Properties Materials: Whiteboard Anticipatory Set: (Total – 15 mins) Warm-Up - (5 mins) attached Review, Introduction, Motivation - (10 mins) Go over warm up, HW Instructional Input: (Total - 20 mins) New Information – Notes/activity Student Practice: (Total - 6 mins) Guided Practice - (6 mins) 1.6 Reteach Worksheet (if time allows) Independent Practice - ( 0 mins) Homework – pg. 47 (2-5, 12-15) Closure: (3 mins) Student will write one sentence explaining how to find the midpoint of two end points of a segment and a few sentences on how to find the endpoint if given a midpoint and an endpoint. (on whiteboards) Lesson Reflection: HW-pg. 47 (2-5 and 12-15) CH. 1 Test WEDNESDAY www.westex.org HS, Teacher Websites 9-22-11 Warm up—Geometry CPA 1. What is the average of 17 and 41? 2. The average of 25 and another number is 39.5. What is the other number? GOAL: I will be able to: 1. find the midpoint given both endpoints of a segment. 2. find the endpoint of a segment given 1 endpoint and the midpoint of the segment. HW-pg. 47 (2-5 and 12-15) CH. 1 Test WEDNESDAY www.westex.org HS, Teacher Websites Name ______________________ Geometry CPA 1.6 Midpoint in the Coordinate Plane Date _______ Sometimes you need to find the point that is exactly between two other points. This middle point is called the ___________________. First 2 volunteers __________ & __________ Midpoint __________ Next 2 volunteers __________ & __________ Midpoint __________ Last 2 volunteers __________ & __________ Midpoint __________ If you are given two numbers, you can find the number exactly halfway between them by __________ them (adding them together & dividing by two). For example, the number exactly 5 10 = 15 = 7.5. halfway between 5 and 10 is 2 2 The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just ___________________ the ___________________ and the _________________. Midpoint Formula Finding the Coordinates of a Midpoint Ex 1 Find the coordinates of the midpoint of CD with endpoints C (-2, -1) and D (4, 2). YOU TRY: Find the coordinates of the midpoint of EF with endpoints E (3, -5) and F (-9, 13). Finding the Coordinates of an Endpoint Ex 2 M is the midpoint of AB . A has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of B. Step 1 Let the coordinates of B equal ________. Step 2 Use (plug into) the Midpoint Formula Step 3 Find the x-coordinate. Find the y-coordinate. YOU TRY: S is the midpoint of RT . R has coordinates (-6, -1) and S has coordinates (-1, 1). Find the coordinates of T.