Unit Standards
CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
CCSS.MATH.CONTENT.HSG.SRT.C.6 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.
CCSS.MATH.CONTENT.HSG.SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.
CCSS.MATH.CONTENT.HSF.TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
CCSS.MATH.CONTENT.HSF.TF.A.2 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
CCSS.MATH.CONTENT.HSG.SRT.D.10 Prove the Laws of Sines and Cosines and use them to solve problems.
CCSS.MATH.CONTENT.HSG.SRT.D.11 Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
CCSS.MATH.CONTENT.HSG.SRT.C.6 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.
CCSS.MATH.CONTENT.HSG.SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.
CCSS.MATH.CONTENT.HSF.TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
CCSS.MATH.CONTENT.HSF.TF.A.2 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
CCSS.MATH.CONTENT.HSG.SRT.D.10 Prove the Laws of Sines and Cosines and use them to solve problems.
CCSS.MATH.CONTENT.HSG.SRT.D.11 Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
Technology Standards
HS.TT.1 Use technology and other resources for assigned tasks.
HS.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. online note-taking tools, collaborative wikis).
HS.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files).
HS.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. online note-taking tools, collaborative wikis).
HS.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files).
Unit Goals and Objectives
Goal 1: Students will be able to solve triangles using trigonometric ratios.
Goal 2: Students will be able to define radian measure and convert angle measures between degrees and radians.
Goal 3: Students will be able to define the trigonometric functions in terms of the unit circle.
- Objective 1:Students will be able to solve for triangles by identifying given measures and using trigonometric ratios to find missing measures.
- Objective 2:Students will be able to solve a real-world scenario by identifying and drawing triangles and solving using trigonometric ratios.
Goal 2: Students will be able to define radian measure and convert angle measures between degrees and radians.
- Objective 1: When given various measures, the students will be
able to demonstrate how to compute radians and degrees given a graphing
calculator with 90% success.
- Objective 2:When given various degree measures, the students will be able to successfully compute
and use degree and radian measures to relate to real-world scenarios.
Goal 3: Students will be able to define the trigonometric functions in terms of the unit circle.
- Objective 1: After discovering the unit circle, the students will be able to identify at least 3 patterns, relate it to at least 2 previous topics, and successfully identify how it is formed.