Geometric ThinkingGeometric Thinking

AndAnd

DefinitionsDefinitions

NIMS GEO.NIMS GEO.June 15, 2010June 15, 2010

NIMS GEO.NIMS GEO.June 15, 2010June 15, 2010

• Review Constructions and building blocks

• Nets• Geometric Sequences• Circles and results

Day 1 check

Go over Day 1 homework

•Stress geometric thinking

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…

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”

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

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

NIMS websites• Mann’s homepage

– http://www.wiu.edu/users/mfrrm1/

• Olsen’s homepage– http://www.wiu.edu/users/mfjro1/wiu/index.htm

• NIMS homepage– http://www.riroe.com/nims/nims10.htm

• NIMS Geometry Wiki – http://nimsgeometry2010.pbworks.com/

– I have now posted a Geo. Dictionary page here to help with definitions as needed

June 15 AssignmentsDue June 16 or as noted

1. Daffynitions (yellow) to hand in2. Leaky Faucet and Bulldog (white) have ready to turn

in3. Complete Definition sheets4. Read through Van Heile levels5. Tree diagrams (tan) ---(we will work on together)6. How many triangles—hand in on Thursday, June 177. In book, read and complete

a. Activity 1.13 on p. 41-42b. Activity 2.13 to 2.16a on pages 95-102