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Picture

Algebra II Common Core 
   Duluth High School

Unit Cirlce- 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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  • Home
    • About Dr. Curlette
    • Parents
    • Blogs for Teacher Supports
  • CurletteConsulting
    • Curlette Consulting Group
  • Students
  • Math Classes Online & Lesson Videos
    • Algebra II 2015-2016
    • Algebra II >
      • Pre-Requistite Skills
      • Alg II 1st Semester
      • Alg II 2nd Semester
      • Alg II Exams
      • Alg II Credit Recovery
      • Algebra II 2013-2015
    • College Alg
    • College Readiness Math
    • DiscreteMath
    • Analytical Geometry CC >
      • 1st Semester
      • 2nd Semester
      • Credit Recovery 1st Sem.
      • Credit Recovery 2nd Semester >
        • Lessons
        • Extra Resources
        • Practice Tests
      • C25 Review
      • Geometry Resources
    • Geometry CC (2016-2017) >
      • Unit 1: Similar_Congruent Triangles & Proofs
      • Unit 2: Right Triangles
      • Unit 3: Circles & Volume
    • Int. Geo (Math II)
    • Statistics - AP
    • Statistics - CP
    • Trig Flipped Classroom
    • Trigonometry Resources