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NIMS GEO. June 15, 2010

NIMS GEO. June 15, 2010. Geometric Thinking And Definitions. Day 1 check. Review Constructions and building blocks Nets Geometric Sequences Circles and results. Go over Day 1 homework. Stress geometric thinking. Big Ideas. Need to ask questions that make students think, not just recite

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NIMS GEO. June 15, 2010

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  1. 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. 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. 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 • 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

  9. June 15 AssignmentsDue 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. 41-42 • Activity 2.13 to 2.16a on pages 95-102

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