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Unit 5 - Lesson 0 - Prerequisite

Lesson Standards
  • Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
  • Explain and use the relationship between the sine and cosine of complementary angles.
  • Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied

Lesson Objectives:
  • To find the sine, cosine, and tangent ratio of sides from a given angle.
  • To find the missing side length of a right triangle using the Pythagorean Theorem or a Trigonometry Ratio.
  • To find the angle measures of a right triangle given two side lengths.
  • To find the side lengths for 30, 60, 90 degree and 45, 45, 90 degree triangles. Then placing these angles on a coordinate plane.

 Essential Questions:
  • How can we apply the 45-45-90 and 30-60-90 trig ratios if the hypotenuse has a length of one unit?
  • How can we apply the 45-45-90 and 30-60-90 trig ratios if we place these triangles on a coordinate plane?

 Students:
Students are to take notes over the two right triangle  ratios of 30-60-90 and 45-45-90 as well as reviewing the ratio of side lengths as the relate to the trigonometric functions of sine and cosine.  Student should take notes from your instructions, then complete the in-class worksheet problems and finally complete the ticket-out-the-door. 


Guided Notes:
  • Guided Notes 30-60-90

Worksheets:
  • Trig Functions - 30, 45, 60 Triangles
  • Trig Functions - Finding angle measures
  • Trig Functions - Finding side lengths
  • Trig Functions Introduction
Practice Assessments & Reviews
  • Ticket-Out-The-Door
  • Right Triangle Trig & Unit Circle Quiz

Lesson & Worksheet Videos
Trig Functions - 30, 45, 60 Triangles
Trig Functions - Finding angle measures
Trig Functions - Finding side lengths
Trig Functions Introduction

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