Reflection: Trust and Respect Sectors of Circles - Section 1: Patterns with Sectors of Circles


I had just returned from a weekend professional development experience where a particular phrase—“tell me more”—was used rather effectively to elicit participants’ views on a particular subject.  I figured I would simply say “tell me amore about ____” when checking in with my students on Part I to see if it would push them to elaborate on their ideas.  What I found was that this phrase always led to students talking more, even if just an extra sentence or two, which helped to unpack their ideas.  Overall, I found this phrase was highly effective and getting students to keep talking.


Another decision I made was to select one group member’s paper to quickly glance over to check, but to then ask a different student in the group to explain one of the group’s strategies for completing the table.  Because of this decision, I was able to quickly hold two students’ accountable to the work.  I also decided that whenever a student who would share about their group’s strategy for completing the table—seeing numerical patterns, using part : whole relationships, using proportional reasoning (for example, “135° is 3x45° degrees, so the sector area would be three times bigger”)—I asked the fourth student in the group to either summarize the strategy in their own words, share a different strategy the group used, or to state what they thought was effective about their group member’s explanations.  Overall, I found myself pleased with these seemingly small decisions because they created opportunities for more students to demonstrate their understanding.   

  “Tell Me More” and Other Ways to Get Students Talking and Involved in the Conversation
  Trust and Respect: “Tell Me More” and Other Ways to Get Students Talking and Involved in the Conversation
Loading resource...

Sectors of Circles

Unit 10: Geometric Measurement and Dimension
Lesson 1 of 14

Objective: Students will be able to use proportional reasoning to solve problems about sector area and arc length.

Big Idea: In a group-worthy task, students use clues about sector area, arc length, and sector perimeter to solve their "dominos".

  Print Lesson
3 teachers like this lesson
Math, Geometry, Measurement, modeling, Circle Area, sector area, radian measure, arclength, space, shapes
  55 minutes
sector sample resized
Similar Lessons
Riding a Ferris Wheel - Day 2 of 2
12th Grade Math » Trigonometric Functions
Big Idea: Make the transition from the Ferris wheel problem to the unit circle.
Troy, MI
Environment: Suburban
Tim  Marley
Arc Length and Sector Area
12th Grade Math » Trigonometry: Circles
Big Idea: Students find their friend similarity lurking in a table of repeated calculations. A firm concept of radian measure follows close behind.
Worcester, MA
Environment: Urban
James Dunseith
Is John Guilty
12th Grade Math » Trigonometry as a Real-Valued Functions
Big Idea: By analyzing data from an accident students will determine whether a driver was speeding when he wrecked his vehicle.
Independence, MO
Environment: Suburban
Katharine Sparks
Something went wrong. See details for more info
Nothing to upload