1. The Arizona Mathematics Partnership: Saturday 1: Geometry Ted Coe, September 2014 cc-by-sa 3.0 unported unless otherwise noted

2. THE Rules of Engagement Speak meaningfully — what you say should carry meaning; Exhibit intellectual integrity — base your conjectures on a logical foundation; don’t pretend to understand when you don’t; Strive to make sense — persist in making sense of problems and your colleagues’ thinking. Respect the learning process of your colleagues — allow them the opportunity to think, reflect and construct. When assisting your colleagues, pose questions to better understand their constructed meanings. We ask that you refrain from simply telling your colleagues how to do a particular task. Marilyn Carlson, Arizona State University

3. The Foot

4. Define Square Triangle Angle

5. Quadrilaterals

8. From http://www.healthreform.gov/reports/hiddencosts/index.html (6/3/2011)

9. The RED broomstick is three feet long The YELLOW broomstick is four feet long The GREEN broomstick is six feet long The Broomsticks

10. 10 SOURCE: HTTP://TEDCOE.COM/MATH/WP-CONTENT/UPLOADS/2013/10/BROOMSTICKS-FOR-NCTM.DOC

11. 11 SOURCE: HTTP://TEDCOE.COM/MATH/WP-CONTENT/UPLOADS/2013/10/BROOMSTICKS-FOR-NCTM.DOC

12. 12 SOURCE: HTTP://TEDCOE.COM/MATH/WP-CONTENT/UPLOADS/2013/10/BROOMSTICKS-FOR-NCTM.DOC

14. Perimeter What is “it”? Is the perimeter a measurement? …or is “it” something we can measure?

15. Perimeter Is perimeter a one-dimensional, two- dimensional, or three-dimensional thing? Does this room have a perimeter?

16. Progressions Progressions: http://ime.math.arizona.edu/progression s/ http://commoncoretools.files.wordpress.com/2012/07/ccss_progression_ gm_k5_2012_07_21.pdf p.16.http://commoncoretools.files.wordpress.com/2012/07/ccss_progression_ gm_k5_2012_07_21.pdf

17. From the CCSS, Grade 3:

18. What do we mean when we talk about “measurement”? Measurement

19. How about this? Determine the attribute you want to measure Find something else with the same attribute. Use it as the measuring unit. Compare the two: multiplicatively. Measurement

21. So.... how do we measure circumference? Circumference

22. Tennis Balls

23. Circumference If I double the RADIUS of a circle what happens to the circumference?

25. The circumference is three and a bit times as large as the diameter. http://tedcoe.com/math/circumference

26. What is an angle? Angles

27. Using objects at your table measure the angle Angles

28. CCSS, Grade 4, p.31

31. How many Rotations?

33. Measure the length of s. Choose your unit of measure carefully. Measure the angle. Choose your unit carefully. s

34. Define: Area

35. Area: Grade 3 CCSS

37. What about the kite?

41. Area of whole square is 4r^2 Area of red square is 2r^2 Area of circle is…

43. http://geogebratube.org/student/m279http://geogebratube.org/student/m279 (cc-by-sa) http://geogebratube.org/material/show/id/279