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Geometry Horace, Stephen, Jon
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Grade You are in high school anywhere from 9 th to 12 th grade depending on when you take geometry. Net Standard: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
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Class today Introduction to Geometry 4 stations Jeopardy
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Expectations Making formal geometric constructions using various tools Copying Segments, bisecting segments Copying Angles, bisecting angles Perpendicular lines Parallel lines Reflections
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Tools Geometric Games/ Software 2d nets of 3d shapes Compass and Straightedge (Smartboard)
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Station 1 Geometric Software/ Games http://nlvm.usu.edu/en/nav/frames_asid_29 8_g_4_t_3.html?open=activities&from=cate gory_g_4_t_3.html http://www.aplusmath.com/cgi- bin/games/geomatho
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Station 2 Copy Segments Bisecting Segments
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Station 3 2d nets to make 3d shapes You will use 2d nets such as the one below to create 3d objects.
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Station 4 Copying Angles Bisecting Angles
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Terminology Parallel- Being an equal distance apart everywhere. Never Intersect. Perpendicular- At an angle of 90 degrees to a given line, plane or surface Bisect- To divide into 2 equal parts Reflection- A transformation in which the figure is a mirror image of its original form. Vertex- The point at which two lines meet to create an angle
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Bisecting a segment Using a compass draw arch at approximately two thirds the lines length Without changing the angle of the compass draw an arch on the other side of the line Use a straightedge to connect the two intersections. http://www.youtube.com/watch?v=MgxT eGmWPgE http://www.youtube.com/watch?v=MgxT eGmWPgE
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Copying a segment Begin by drawing a line or ray that it larger then the segment you are trying to copy. Using your compass measure the length of your segment. Place your compass on the ray and draw an arch. This is now your copied version of your segment. http://www.youtube.com/watch?v=EZlv0iDFz pg http://www.youtube.com/watch?v=EZlv0iDFz pg
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Copying an Angle Begin by drawing a ray that is larger then the length of your original angle line. Draw an arch between the angle you a trying to copy. (Length does not matter) Copy that arch onto your ray using the same angle on your compass. Measure the distance between the two intersections of the arch. Copy this measurement onto the ray Using a straightedge draw a line through the endpoint of the ray and the intersection of the two arches. http://www.youtube.com/watch?v=38dkb_0egjU http://www.youtube.com/watch?v=38dkb_0egjU
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Bisecting an Angle Place the compass point on the angles vertex At any convenient length of the compass, draw a arch that crosses both lines Using each of the archs intersection with the lines, draw two arches through the middle of the angle Using a straightedge draw a line from the vertex to the intersection of the two arches In the middle of your angle. http://www.youtube.com/watch?v=jRqwsKkl0fg
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Groups We will now count of into groups of 4 Group 1 please go to the front left of the room Group 2 please go to the back left of the room Group 3 please go to the front right of the room Group 4 please go to the back right of the room When Stations are complete please stay where your at in order to play Jeopardy.
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