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Algebra II Common Core
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Unit Cirlce- Prerequisite
Lesson Standards
Lesson Objectives:
Essential Questions:
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.
- 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.
Worksheets:
- Trig Functions - 30, 45, 60 Triangles
- Trig Functions - Finding angle measures
- Trig Functions - Finding side lengths
- Trig Functions Introduction
Lesson & Worksheet Videos
