1. Geometric Thinking And Definitions
NIMS GEO. June 15, 2010
Geometric Thinking
And
Definitions

2. Day 1 check Review Constructions and building blocks Nets
Geometric Sequences
Circles and results

3. Stress geometric thinking
Go over Day 1 homework
Stress geometric thinking

4. Big Ideas
Need to ask questions that make students think, not just recite
Need higher levels of thinking
In Blooms
In Van Heile
Ask for reasons, connections, extensions, comparisons…

5. “”recite the definition of an apple”
Definitions
Very important
But often overdone at a low level
Teach them in context and review as needed
Help students understand why they are defined in certain ways
What makes an apple an apple?
Is more thought provoking than
“”recite the definition of an apple”

6. What can you learn from a notecard? Paperfold and cutting
Fold once (hamburger ways) and cut
Get Isosceles triangle, 2 equal sides, 1 line of symmetry
Fold again (hot dog) and cut
Get Rhomubs, 4 equal sides, 2 lines of symmetery
Fold again (Taco) and cut
Get Octagon, 8 equal side, 4 lines of symmetry

7. Folding Notes
In each case, there are at least that many lines of symmetry
Cutting in the ‘right’ place could make the isosceles triangle equilateral, the rhombus a square, etc.
This would result in more lines of symmetry
Determing the ‘right’ place to cut is a good challenge question

8. NIMS websites Mann’s homepage Olsen’s homepage NIMS homepage
Olsen’s homepage
NIMS homepage
NIMS Geometry Wiki
I have now posted a Geo. Dictionary page here to help with definitions as needed

9. June 15 Assignments Due June 16 or as noted
Daffynitions (yellow) to hand in
Leaky Faucet and Bulldog (white) have ready to turn in
Complete Definition sheets
Read through Van Heile levels
Tree diagrams (tan) ---(we will work on together)
How many triangles—hand in on Thursday, June 17
In book, read and complete
Activity 1.13 on p
Activity 2.13 to 2.16a on pages