Transcript Can try 176-182 in GSP book

NIMS GEO.
June 17, 2010
Knowing
Growing
and
Showing
Geogebra
• General drawing and measuring
• Parallel lines and transversal
– Measure and compare angles
• Make a triangle and find angle sum
– Measure and compare angles and sides
• Make an equilateral triangle
– Try to find perpendicular bisectors and
to construct circumscribed circle
Geogebra for Friday
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Complete Slice it/Dice it
Complete Midpoint Quadrilateral
Can try 176-182 in GSP book
Use to explore quadrilaterals and
their properties
– Fill in summary sheet
– Getting started
Shape shifter quiz
• 1. Sum of the interior angles of a
triangle
• 2. Sum of one set of exterior angles
of a triangle
• 3. The most specific name of this
shape
Shape shifter quiz
• 4. The most specific name of this
shape
• 5. The most specific name of this
shape
• 6. The most specific name of this
shape
Shape shifter quiz
• 7. The most specific name of this
shape
• 8. The sum of the interior angles of
this shape
• 9. T/F: All squares are rectangles
• 10. T/F: All rectangles are squares
Shape Shifter Quiz
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Give
Go over
Lead to triangle sum proof
Other proofs…
– Book’s ways
• Proof of exterior angles
• Proofs in general—see gray sheet and
sum
What do we know about a
triangle??
Where can we go
• Midpoints and median investigation
• Notecard activity
Where can we go
• Why is the midsegment parallel to the
other side?
• Why is it half the length?
Sierpinski’s Triangle
• Applet from Shodor
• Worksheet
Homework questions?
• From article?
• From book?
June 17 Assignments
Due June 18 or as noted
1.
2.
3.
4.
5.
Triangle tribulations and restricted angle sum (gray)
Quad properties worksheet (yellow)–use Geogebra
Whadya know about a triangle (white)
Complete Geogebra for Friday investigations
In book, read and complete
a. Previous assignments
b. Activity 2.9a and b on pages 83 -86
6. Sierpinski Patterns (tan)—due Monday, July 12
7. What do we know about geometry (Gold)
Due Monday, July 12
8. How many shapes and Eskimo puzzle (Salmon)
Due Monday July 12
Geogebra for Friday
• Complete Slice it/Dice it
• Complete Midpoint Quadrilateral
• Use to explore quadrilaterals and
their properties
– Fill in summary sheet
– Getting started
Geogebra for Monday, July 12
• Work on original 10 items
• Construct any triangle and its
midpoints and midsegments
– Show (with slopes) the parallel properties
– Show and compare the lengths
– Show the area of the original triangle and
its midpoint triangle
– Record your conclusions in a text box
Save as midpointtriyourname
and be ready to turn in!
Geogebra for Monday, July 12
• Continued…
• Construct any triangle and its
midpoints and medians
– Construct the centroid
– The centroid divides each median into 2
segments—measure and compare these lengths
– Measure and compare the area of the 6 triangles
formed
– Color each of the 6 triangles a different color
– Put your conclusions in a texbox
– Save as centroid your name
– and be ready to turn in