1 / 134

Geometry & Measurement Rules: A Guide for Next-Gen Assessment

Discover the rules of engagement for meaningful discussions in geometry and measurement. Explore topics such as square triangles, broomsticks, towers, and perimeters. Learn about learning trajectories, progressions, and the concept of measurement. Gain insights into circles, circumference, and more for effective next-gen assessment preparation. Engage in intellectually honest discussions and respect the learning process of colleagues for a deeper understanding.

cchun
Download Presentation

Geometry & Measurement Rules: A Guide for Next-Gen Assessment

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Palo Verde:Geometry, Measurement, and Next-Gen Assessment Ted Coe, Ph.D. Grand Canyon University, 2013. 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 Plot...

  4. The Foot

  5. Define Square Triangle Angle

  6. True or False? A square is a rectangle.

  7. Quadrilaterals

  8. Quadrilaterals

  9. Quadrilaterals

  10. Downloaded from the PARCC website 6/2/2013

  11. From the AZ Glossary, 2008:

  12. Wolframalpha.com (6/11/2013)

  13. http://ime.math.arizona.edu/progressions/

  14. From the Progression Documents http://ime.math.arizona.edu/progressions/ http://commoncoretools.me/wp-content/uploads/2012/06/ccss_progression_g_k6_2012_06_27.pdf

  15. Act I Scene II

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

  17. The Broomsticks

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

  19. The Willis tower (formerly the Sears tower) is 1730 feet high. The Burj Khalifa (formerly Burj Dubai) is 2717 feet high. The Burj is ______________ times as large as the Willis tower. The Willis tower is _____________times as large as the Burj The Burj is _____________ percent the size of the Willis tower. The Willis tower is _____________ percent the size of the Burj.

  20. http://www.cpre.org/ccii/images/stories/ccii_pdfs/learning%20trajectories%20in%20math_ccii%20report.pdfhttp://www.cpre.org/ccii/images/stories/ccii_pdfs/learning%20trajectories%20in%20math_ccii%20report.pdf

  21. LEARNING TRAJECTORIES IN MATHEMATICS: A Foundation for Standards, Curriculum, Assessment, and Instruction, pp48-49.

  22. Sequencing: LEARNING TRAJECTORIES IN MATHEMATICS: A Foundation for Standards, Curriculum, Assessment, and Instruction, pp48-49.

  23. Learning Trajectories From Learning Trajectories in Mathematics (2011) Daro, et al. CPRE.

  24. Learning Trajectories From Learning Trajectories in Mathematics (2011) Daro, et al. CPRE.

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

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

  27. From the AZ STD's (2008) • Perimeter: the sum of all lengths of a polygon. • Discuss

  28. Progressions • Progressions: • http://ime.math.arizona.edu/progressions/ • http://commoncoretools.files.wordpress.com/2012/07/ccss_progression_gm_k5_2012_07_21.pdf p.16.

  29. Wolframalpha.com • 4/18/2013:

  30. From the CCSS, Grade 3:

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

  32. Measurement • “Technically, a measurement is a number that indicates a comparison between the attribute of an object being measured and the same attribute of a given unit of measure.” • Van de Walle (2001) • But what does he mean by “comparison”?

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

  34. From Fractions and Multiplicative Reasoning, Thompson and Saldanha, 2003. (pdf p. 22)

  35. What is a circle?

  36. What is circumference?

  37. From the AZ STD's (2008) Circumference the total distance around a closed curve like a circle

  38. Circumference • So.... how do we measure circumference?

  39. http://tedcoe.com/math/circumference

  40. Tennis Balls

  41. The circumference is about how many times as large as the diameter? • The diameter is about how many times as large as the circumference?

More Related