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

Introduction to the Slope Ratio (Tangent)

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

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

Print Lesson
1 teacher likes this lesson
Standards:
Subject(s):
Math, Geometry, Trigonometry, tangent ratio
45 minutes

Jessica Uy

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.
Favorites(5)
Resources(10)
Troy, MI
Environment: Suburban

Final Exam Review Stations (Day 1 of 3)
Big Idea: Students review by working through various stations at their own pace and receive immediate feedback on their work.
Favorites(5)
Resources(23)
Phoenix, AZ
Environment: Urban

Intro to Trigonometry / What is Similarity?
12th Grade Math » Trigonometry: Triangles
Big Idea: It all starts with vocabulary! The study of words and how precisely we can use them is one of the key structures introduced as this course begins.
Favorites(2)
Resources(25)
Worcester, MA
Environment: Urban