Using the distance formula to find the distance between two points and the length of line segments given the two endpoints. Lesson handout clearly illustrates the origin of the distance formula and connection to the Pythagorean theorem, with detailed example.
5 Pages: Handout (Lesson) / 2 Worksheets / 2 Keys
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Page 1 is a lesson handout that clearly and concisely articulates the origin of the distance formula and connection to the Pythagorean theorem. Also, an example is given with clear and detailed solution showing all steps.
Page 2 is a 7-question worksheet with room for student work. Worksheet includes standard problems (distance between two points) and a more complex problem involving the diagonals of a rectangle.
Page 3 is a second 5-question worksheet with room for student work. Worksheet includes standard problems (distance between two points) and more complex problems involving lengths of the sides of a triangle.
Page 4 is the KEY for Page 2 (questions with answers).
Page 5 is the KEY for Page 3 (questions with answers).
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Copyright 2010, Thad J. Ackerman
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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! :-)
