1. Knowing Growing and Showing
NIMS GEO. June 17, 2010
Knowing
Growing
and
Showing

2. 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

3. Geogebra for Friday Complete Slice it/Dice it
Complete Midpoint Quadrilateral
Can try in GSP book
Use to explore quadrilaterals and their properties
Fill in summary sheet
Getting started

4. 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
rectangle

5. Shape shifter quiz 4. The most specific name of this shape
Parallelogram, rhombus, square

6. 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
Trapezoid

7. Shape Shifter Quiz 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

8. What do we know about a triangle??

9. Where can we go
Midpoints and median investigation
Notecard activity

10. Where can we go Why is the midsegment parallel to the other side?
Why is it half the length?

11. Sierpinski’s Triangle
Applet from Shodor
Worksheet

12. Homework questions?
From article?
From book?

13. June 17 Assignments Due June 18 or as noted
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
Previous assignments
Activity 2.9a and b on pages
Sierpinski Patterns (tan)—due Monday, July 12
What do we know about geometry (Gold)
Due Monday, July 12
How many shapes and Eskimo puzzle (Salmon)
Due Monday July 12

14. Geogebra for Friday Complete Slice it/Dice it
Complete Midpoint Quadrilateral
Use to explore quadrilaterals and their properties
Fill in summary sheet
Getting started

15. 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!

16. 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