Download Similarity, Proof and Trigonometry Lesson 12 Trigonometry Ratios

Trigonometry Ratios
Opening routine
Determine the missing length in the right triangle using
the Pythagorean theorem.
Unit 2:
Similarity, Proof and
Trigonometry
Lesson 12 Trigonometry Ratios
Objective: Use trigonometric ratios and the
Pythagorean Theorem to solve right triangles in
applied problems.
Essential Question: How can you use the sine and
cosine ratios in calculations involving right
triangles?
Lesson 12 Trigonometry Ratios
Vocabulary
Hypotenuse: Is the longest side of the right
triangle and is the side opposite the right angle.
Leg of a right triangle: Either of the sides in a
right triangle opposite an acute angle. The legs
are the two shorter sides of the triangle.
Adjacent leg: Is the leg that is part of the angle.
Opposite leg: Is the leg that is not part of the
angle.
Lesson 12 Trigonometry Ratios
Vocabulary
Sine: In a right triangle, is the ratio of the length of the
side that is opposite that angle to the length of the
longest side of the triangle (the hypotenuse).
Cosine: In a right triangle, is the ratio of the length of
the adjacent side to the angle to the length of the
hypotenuse.
Tangent: In a right triangle, is the length of the
opposite side divided by the length of the adjacent
side.
Lesson 12 Trigonometry Ratios
Lesson 12 Trigonometry Ratios
Lesson 12 Trigonometry Ratios
Video sine ratio
https://learnzillion.com/lesson_plans/7611
Lesson 12 Trigonometry Ratios
Lesson 12 Trigonometry Ratios
Lesson 12 Trigonometry Ratios
Lesson 12 Trigonometry Ratios
Guided Practice – WE DO
Find the measure of indicated side
Lesson 12 Trigonometry Ratios
Guided Practice – WE DO
Find the measure of indicated side
Lesson 12 Trigonometry Ratios
Independent Practice – YOU DO
Group 1 Questions 1 and 7 page 100
Group 2 Questions 2 and 8 page 100
Group 3 Questions 3 and 9 page 100
Group 4 Question 4 page 100
Group 5 Question 5 page 100
Group 6 Question 6 page 100
Lesson 12 Trigonometry Ratios
Independent Practice – YOU DO
Lesson 12 Trigonometry Ratios
Independent Practice – YOU DO
Lesson 12 Trigonometry Ratios
Independent Practice – YOU DO
Lesson 12 Trigonometry Ratios
Re-teach MAFS.912.G-CO.3.9: Prove theorems about lines
and angles; use theorems about lines and angles to solve
problems.
Angles and Parallel Lines Packet
Lesson 12 Trigonometry Ratios
Re-teach MAFS.912.G-SRT.2.5: Use congruence and similarity
criteria for triangles to solve problems and to prove
relationships in geometric figures.
Math Nation Section 5 Topic 3 Independent Practice
Lesson 12 Trigonometry Ratios
Re-teach MAFS.912.G-CO.3.10: Prove theorems about
triangles; use theorems about triangles to solve problems.
Theorems include: measures of interior angles of a triangle
sum to 180°; base angles of isosceles triangles are congruent;
the segment joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the medians of
a triangle meet at a point.
Math Nation Section 4 Topic 3 Independent Practice
Lesson 12 Trigonometry Ratios
Closure
Essential Question: How can basic
trigonometric functions can be
expressed in terms of the sides of a right
triangle?
Lesson 12 Trigonometry Ratios
Homework
Similar Triangles Worksheet
Due Monday November 28, 2016