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Geometry

Geometry. Horace, Stephen, Jon. Grade. You are in high school anywhere from 9 th to 12 th grade depending on when you take geometry.

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Geometry

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  1. Geometry Horace, Stephen, Jon

  2. Grade • You are in high school anywhere from 9th to 12th 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.

  3. Class today • Introduction to Geometry • 4 stations • Jeopardy

  4. Expectations • Making formal geometric constructions using various tools • Copying Segments, bisecting segments • Copying Angles, bisecting angles • Perpendicular lines • Parallel lines • Reflections

  5. Tools • Geometric Games/ Software • 2d nets of 3d shapes • Compass and Straightedge (Smartboard)

  6. Station 1 • Geometric Software/ Games http://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html?open=activities&from=category_g_4_t_3.html http://www.aplusmath.com/cgi-bin/games/geomatho

  7. Station 2 • Copy Segments • Bisecting Segments

  8. Station 3 • 2d nets to make 3d shapes You will use 2d nets such as the one below to create 3d objects.

  9. Station 4 • Copying Angles • Bisecting Angles

  10. 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

  11. 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=MgxTeGmWPgE

  12. 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=EZlv0iDFzpg

  13. 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

  14. 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

  15. 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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