NIMS GEO. June 16, 2010 Angles And Triangles

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…..

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

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

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

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

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

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?

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

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?

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??

Theorems and Postulates See worksheet GSP Parallel lines demo

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

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

Much like…. http://www.daily-sudoku.com/dailysudoku/print-sudoku-1275.html

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

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. 15-19 Activity 1.8 to 1.10 on pages 29-33 Act. 1.14a and b on p. 43-46 7. Be ready for a quiz Thursday and Friday