Geometry
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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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Geometry

Geometry

Horace, Stephen, Jon


Grade

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.


Class today

Class today

  • Introduction to Geometry

  • 4 stations

  • Jeopardy


Expectations

Expectations

  • Making formal geometric constructions using various tools

  • Copying Segments, bisecting segments

  • Copying Angles, bisecting angles

  • Perpendicular lines

  • Parallel lines

  • Reflections


Tools

Tools

  • Geometric Games/ Software

  • 2d nets of 3d shapes

  • Compass and Straightedge (Smartboard)


Station 1

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


Station 2

Station 2

  • Copy Segments

  • Bisecting Segments


Station 3

Station 3

  • 2d nets to make 3d shapes

    You will use 2d nets such as the one below to create 3d objects.


Station 4

Station 4

  • Copying Angles

  • Bisecting Angles


Terminology

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


Bisecting a segment

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


Copying a segment

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


Copying an angle

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


Bisecting an angle

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


Groups

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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