All the Way Around a Circle: An Angle Lesson

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Amanda L. Cullen Illinois State University, Normal, IL

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Carrie A. Lawton Illinois State University, Normal, IL

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Crystal S. Patterson Thomas Metcalf Laboratory School, Normal, IL

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Craig J. Cullen Illinois State University, Normal, IL

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In this lesson, third graders were asked how many degrees is a full rotation around a circle. After we gave students time and space to disagree, to make and test conjectures, and to explore, they reasoned about angle as turn and determined a full rotation is 360 degrees.

Supplementary Materials

    • Angle Lessons Handout for NCTM (MS DOC 74.0 MB)
    • Angles GSP (Data File 11.1 MB)

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Mathematics Teacher: Learning and Teaching PK-12
  • Barrett, Jeffrey, Craig J. Cullen, Diana Behnke, and David Klanderman . 2017. A Pleasure to Measure: Tasks for Teaching Measurement in the Elementary Grades. Reston, VA: National Council of Teachers of Mathematics.

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  • Cullen, Craig J., Joshua T. Hertel, and Megan Nickels . 2020. “The Roles of Technology in Mathematics Education.” The Educational Forum 84, no. 2:16678. 10.1080/00131725.2020.1698683

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  • National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

  • National Council of Teachers of Mathematics (NCTM). 2014. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

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