Using the midpoint formula to find the midpoint of line segments given the two endpoints. Also, two methods, including an easier short-cut method (not found in any textbooks I've seen) for finding the second endpoint, given one endpoint and the midpoint. Lesson handout clearly illustrates the midpoint in a visual way, and includes detailed examples.
6 Pages: 2-page Handout (Lesson) / 2 Worksheets / 2 Keys
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Pages 1-2 are a lesson handout that clearly and concisely articulates how to find the midpoint of a line segment given the two endpoints. Also, two methods are described to find the second endpoint, given one endpoint and the midpoint. One of these methods is much easier than the algebraic method shown in most textbooks. Also, examples are given with clear and detailed solution showing all steps.
Page 3 is a 9-question worksheet with room for student work. Worksheet includes standard midpoint problems (finding a midpoint given two endpoints of a line segment), problems in which students need to find the second endpoint given the first endpoint and the midpoint, and a more complex problem involving the midpoints of the diagonals of a parallelogram.
Page 4 is a second 9-question worksheet with room for student work. Worksheet includes standard midpoint problems (finding a midpoint given two endpoints of a line segment), problems in which students need to find the second endpoint given the first endpoint and the midpoint, and a more complex problem involving the midpoints of the diagonals of a parallelogram.
Page 5 is the KEY for Page 3 (questions with answers).
Page 6 is the KEY for Page 4 (questions with answers).
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15+ years teaching high school mathematics (all levels: basic, college-prep. and honors) Experience tutoring high school, college (undergraduate & graduate), and adult learners in mathematics, SAT & GRE test prep., and engineering. Started own financial advisory firm, Silver Maple Financial, LLC, and am a licensed financial advisor. Strong interest in finances of individual investing: compound interest, dollar-cost averaging, mutual funds, investing for retirement, etc. Worked for IBM as a computer programmer during college and for 3 years after college, then tutored while going back to school to be an educator. Never looked back! Best move I ever made! :-)
