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Mini Video Project Tools for Visualizing Data Kyle Plucinsky Fall 2016 Target Audience ● ● High School Geometry 9th and 10th Grade Students Topic: Perpendicular Bisectors Common Core Standards HSG-GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems HSG-CO.C.9 Prove theorems about lines and angles. Objectives and Outcomes Objectives - SWBAT ● ● ● ● Find the slope between two points Find the midpoint between two points Calculate perpendicular slopes Write the equation of a line in slope-intercept form Outcomes - Students will ● ● ● Calculate the equation of a perpendicular line given two endpoints algebraically Use Geogebra to find the equation of the perpendicular bisector Use Geogebra to find the circumcenter of a triangle Lesson Timeline 1 day - Writing equation using algebra + definition of circumcenter 1 day - Geogebra activity to write equation of perp bisector and find circumcenter 3 Videos 2 Geogebra tutorials, one algebra tutorial Geogebra Lab - Equation of Perp Bisector Finding the equation of the perp bisector given two endpoints. Checking work using the Algebra panel on Geogebra to check distances, slopes, and angles Geogebra Lab - Finding Circumcenter Create three perpendicular bisectors through each side length. The intersection is the circumcenter of the triangle. A property of the circumcenter is that it is equidistant from each of the vertices of the triangle. Brainy Bits Neurons - making connections between the senses and the brain through audio and visual tutorials Frontal Lobe - critical thinking skills used to complete processes of finding perpendicular bisectors and their properties Occipital Lobe - analyzing the visuals of the handwritten example or Geogebra tutorials Parietal Lobe - mathematical connections and calculations Multiple Intelligences Logical-Mathematical: problem-solving, calculations Visual-Spatial: Video tutorials, Geogebra graphs Bodily-Kinesthetic: moving using computer Interpersonal: discussions with classmates Linguistic: Written steps for process References Gardner, H. (1983). Frames of Mind: The Theory of Multiple Intelligences. New York: Basic Books Gregorc, A. (1985). Gregorc Style Delineator. A Self-Assessment Instrument for Adults. Columbia, CT: Gregorc Associates Sousa, D. (2011). How the Brain Learns (4th ed.). Thousand Oaks, CA: Corwin Press
