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### Geometry

Horace, Stephen, Jon

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

- Introduction to Geometry
- 4 stations
- Jeopardy

Expectations

- Making formal geometric constructions using various tools
- Copying Segments, bisecting segments
- Copying Angles, bisecting angles
- Perpendicular lines
- Parallel lines
- Reflections

Tools

- Geometric Games/ Software
- 2d nets of 3d shapes
- Compass and Straightedge (Smartboard)

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

- Copy Segments
- Bisecting Segments

Station 3

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

Station 4

- Copying Angles
- Bisecting Angles

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

- 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

- 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

- 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

- 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

- 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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