Reflection: Connection to Prior Knowledge Introduction to the Slope Ratio (Tangent) - Section 1: Warm-Up: Side-Angle Relationship


When students work through the warm-up, I typically circulate the room to listen for different ideas and strategies that emerge.  Listening to students’ thinking was particularly important today, as the way students made sense of the problem would matter so much to their developing a conceptual understanding of trigonometry.

As I walked around the room, I deliberately noted the students who used the idea that angles determine sides and sides determine angles.  I decided to write down the names of students who used a different strategy; some students made connections to isosceles right triangles, equilateral triangles, or something else.  I was glad I wrote down specific names of students on my clipboard, because it allowed me to thoughtfully and efficiently bring in new voices and ideas into our whole-class discussion.   

  Launching the New Unit
  Connection to Prior Knowledge: Launching the New Unit
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Introduction to the Slope Ratio (Tangent)

Unit 12: Triangle Similarity and Trigonometric Ratios
Lesson 4 of 11

Objective: Students will be able to use similarity and to make sense of the meaning of the slope ratio (tangent ratio).

Big Idea: By drawing several examples of right triangles that satisfy the same slope angle, students develop an understanding of the definition of tangent.

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Math, Geometry, Trigonometry, tangent ratio
  45 minutes
slope ratio task li
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