Geometry

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Geometry - PowerPoint PPT Presentation

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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PowerPoint Slideshow about 'Geometry' - gafna

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Presentation Transcript

Geometry

Horace, Stephen, Jon

• 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.
Copying a segment
• Begin by drawing a line or ray that it larger then the segment you are trying to copy.
• Place your compass on the ray and draw an arch. This is now your copied version of your segment.
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.
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.