Lesson 2 - Apply the Tangent Ratio
GPS Standards
MM2G2a Discover the relationship of the trigonometric ratios for similar triangles.
MM2G2b Explain the relationship between the trigonometric ratios of complementary angles.
MM2G2c Solve application problems using the trigonometric ratios.
MM2G2b Explain the relationship between the trigonometric ratios of complementary angles.
MM2G2c Solve application problems using the trigonometric ratios.
Essential Questions
What is a trigonometric ratio?
What is the tangent ratio of a right triangle?
What is the tangent ratio of a right triangle?
Learning Objectives
§ Students will be able to find the tangent ratio of a right triangle, given the lengths of the sides.
§ Students will be able to use the tangent of an acute angle ro find a leg length, given the measure of an acute angle and the length of one side.
§ Students will be able to discover the relationship of the trigonometric ratios of similar triangles.
§ Students will be able to explain the relationship between the trigonometric ratios of complementary angles.
§ Students will be able to solve problems using the tangent ratio.
§ Students will be able to use the tangent of an acute angle ro find a leg length, given the measure of an acute angle and the length of one side.
§ Students will be able to discover the relationship of the trigonometric ratios of similar triangles.
§ Students will be able to explain the relationship between the trigonometric ratios of complementary angles.
§ Students will be able to solve problems using the tangent ratio.
Vocabulary
Trigonometry:
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles and the calculations based on these relationships.
Trigonometric Ratio:
A trigonometric ratio is a ratio of the lengths of two sides in a right triangle.
Tangent:
In a right triangle, the ratio of the length of the leg opposite an acute angle to the length of the leg adjacent to the angle is constant for a given angle measure. This ratio is called the tangent of the angle.
Complementary Angles:
Two angles are complementary angles if the sum of their measures is 90˚.
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles and the calculations based on these relationships.
Trigonometric Ratio:
A trigonometric ratio is a ratio of the lengths of two sides in a right triangle.
Tangent:
In a right triangle, the ratio of the length of the leg opposite an acute angle to the length of the leg adjacent to the angle is constant for a given angle measure. This ratio is called the tangent of the angle.
Complementary Angles:
Two angles are complementary angles if the sum of their measures is 90˚.
Handouts
lesson2-notes.docx | |
File Size: | 233 kb |
File Type: | docx |
lesson2-practice.docx | |
File Size: | 81 kb |
File Type: | docx |
lessonplan2.docx | |
File Size: | 1523 kb |
File Type: | docx |