Name: Rebecca Birch

Date: 11/23/16

Grade and Topic

  • 10th-12th, Secant and Tangent Rules in Circles

Key Ideas and Concepts

  • How to find angles, arc lengths, or segment lengths
  • How to determine what kind of problem you’re dealing with and what you’re solving for

My Classmates Will Learn / Improve / Master These Skills

  • Determining which rule to use: Secant-Secant, Tangent-Tangent, or Tangent-Secant
  • Finding an unknown angle or arc length by setting up and rearranging equations
  • Finding an unknown segment length by setting up and rearranging equations
  • Factoring

Learning Style Strengths in Lesson

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  • Visual
  • Auditory
  • Tactile (hands-on)

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How the Physical Space Will be Arranged

  • In a square so everyone can see board for first half
  • Everyone will move into table groups (4 people per group) for second half

Materials Needed

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  • Poster paper
  • Markers
  • Meter sticks

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Key Vocabulary

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  • Secant line
  • Tangent line
  • Major arc
  • Minor arc

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How I Plan on Delivering the Lesson

  • To explain the information, I will draw three pictures of circles with two secants, two tangents, and a tangent and secant respectively. I will color code each different item (secant as purple versus tangent as orange, for example) as I explain how to identify the type of problem we’re dealing with, and will walk through examples of rearranging equations for our unknown. When working out an example of how to factor with Secant-Secant problems I will show all my steps. I will frequently pause to allow my classmates to write down the example and to ask questions. I will also call on classmates at random to answer a question about the example.
  • For the second half of the class my classmates will be in 3 groups of four to make posters illustrating one of the rules and showing an example of how to solve a problem of the type they were given. Each table is given one of the different rules.

How I Will Interact With My Classmates

  • Cold-call classmates (call on classmate at random)
  • Walk around the room and check in with classmates as they work

What My Classmates Will Do

  • Create color-coded posters explaining what they’ve just learned or mastered

How Will You Know Your Classmates Learned Something New or Mastered the Topic?

  • I’ll give them five short problems to solve. If their answers correctly match what I’ve got on my answer key I’ll know they learned how to solve these problems.

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