Teaching Mathematics with Technology
Teaching Mathematics with Technology EMS 480
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This 1 page Class Notes was uploaded by Nona Heathcote I on Thursday October 15, 2015. The Class Notes belongs to EMS 480 at North Carolina State University taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/223733/ems-480-north-carolina-state-university in Science Or Mathematics Teaching at North Carolina State University.
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Date Created: 10/15/15
Additional GSP Examples of Explorations for Students that can lead to Conjectures Arguments and Proofs Exploration A Construction Instructions Step 1 Construct atriangle Label it ABC Step 2 Find the midpoints of sides AB BC and AC Label them D E and F respectively Step 3 Connect points D E and F to form another triangle Investigate Drag the vertices or sides of triangle ABC Make sure you drag it into a variety of sizes and shapes What do you notice about the four triangles Conjectures Write your conjectures below Explore More Construct the medians of triangle ABC What do you notice Construct midpoints on the sides of triangle DEF Connect the midpoints to form another triangle Label this triangle GHI Construct midpoints on the sides of triangle GHI Connect the midpoints to form another triangle What do you notice about the smaller midpoint triangles Justify Verify that your conjectures are true or false Create an argument to convince your classmates that your conjectures are true or false Exploration B Construction Instructions Step 1 Construct a circle Step 2 Construct a quadrilateral inscribed in the circle use four points on the circumference of the circle Labelthe quadrilateral CDEF Investigate Measure the lengths of each of the sides of the quadrilateral they are also chords of the circle Also measure the arcs intercepted by the chords and the four interior angles of the quadrilateral Drag one of the vertices of the quadrilateral What relationships do you notice Conjectures Write your conjectures below Justify Verify that your conjectures are true or false Create an argument to convince your classmates that your conjectures are true or false PDF created with pdfFactory Pro trial version www9dffactomcom
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