1. NIMS GEO. June 16, 2010
Angles
And
Triangles

2. Day 2 review Collect Daffynitions and share Go through tree diagrams
Record answer to leaky faucet on this sheet
Go through tree diagrams
How many triangles
Triangle possibilities on back
Questions from book and definition of kite
Note: Equivalent definitions and triangles…..

3. Definition Practice Worksheets Geohunt Pictionary—drawing instructions
Who am I?
Bingo
Jeopardy
Balderdash
Others??---see article

4. 3-D Definitions Prism: Pyramid:
A polyhedron with 2 parallel congruent bases connected by parallelograms (often rectangles)
Pyramid:
A polyhedron with a polygon base and triangular faces which all meet at one point

5. Notecard investigation
Fold notecard to get 4 quadrants
In upper left, draw any closed figure and mark the Points
Count and label
Regions (R = ___)
Points ( P = ____)
-Edges (E = _____)
Note that regions include the outside space

6. Notecard investigation
In upper right, redraw your original shape but add another intersecting shape
Count and label
Regions (R = ___)
Points ( P = ____)
-Edges (E = _____)

7. Notecard investigation
In lower left, redraw sketch 2 but add more points and edges
Count and label
Regions (R = ___)
Points ( P = ____)
-Edges (E = _____)

8. Notecard Inv.
In lower right, use your sketches to complete the following table:
Regions (P)
Points (P)
Edges (E)
What relationship does there appear to be?

9. Notecard generalization
On the other side of your notecard, draw a random doodle like you might normally
Do start and end at the same point

10. Notecard generalization
Count regions, points, and edges
Do the results match your previous conjecture?
Will this always work?
How do you know?
How can you show?

11. Triangle Investigation
Retrieve your notecard from Monday
That had the 3 points and line resulting in a triangle
What else can we learn from this triangle---point, line, plane activity??

12. Theorems and Postulates
See worksheet
GSP Parallel lines demo

13. Angle Sum See Worksheet Mathematical Proof
See pages 17 to 21 for other ways

14. Importance of Diagram puzzles
On the ISAT
Deductive reasoning
Problem Solving
What do I know?
Where can I go?
How can I show?

15. Much like….

16. Polygons and Diagonals
From ISBE math site
Assessment Tasks
Level F (5th grade)
Basically same idea but with regular polygons

17. June 16 Assignments Due June 17 or as noted
How many triangles (blue)
Angle Sum (yellow)
Triangle tribulations and Restricted sum (gray)—due Friday, June 19
Work on Geogebra Explorations
Read the Polygon Properties and be able to answer wrap-up questions on page 528
In book, read and complete
Activity 1.0 to 1.2 on p
Activity 1.8 to 1.10 on pages 29-33
Act. 1.14a and b on p
7. Be ready for a quiz Thursday and Friday