### General

Course Description

Students will study how the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent, relate to each other. The student will analyze the relationship of the unit circle to the graphs of trigonometric functions. There is an emphasis on verification of trigonometric identities using reasoning and proof. Students will learn how to solve oblique triangles in the real world using trigonometric formulas (Law of Sine, Law of Cosine, Area formulas).

**Key Course Learning Experiences**Trigonometric Functions (Common Summative Assessment)

Students will demonstrate their understanding that side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Students will extend the domain of trigonometric functions using the unit circle.

Graphing Trigonometric Functions (Common Summative Assessment and Performance Task)

Students will graph trigonometric functions on the coordinate plane with transformations to the amplitude, period, and horizontal and vertical translations.

Students will model a real world situation using trigonometric functions and their transformations on the coordinate plane.

Trigonometric Identities (Common Summative Assessment)

Students will demonstrate their understanding, through proofs, of validating the fundamental trigonometric identities.

Applications of Trigonometry (Common Summative Assessment and Performance Task)

Students will determine and apply the correct trigonometric formula to solve for unknown measurements of real world applications involving right and non-right triangles

Students will generate four real world application prompts for the CSA. The prompts will be written so that each trigonometric formula learned in the unit will be utilized to solve the problem.

**Essential Learning Goals**Problem Solving (25%)

Students will apply and adapt a variety of appropriate strategies to solve problems. This will include identifying patterns/relationships, make generalizations; identify exceptions and evaluate claims.

Reasoning and Proof (25%)

Students will develop and evaluate mathematical arguments and proofs and justify their rationale.

Communication (25%)

Students will communicate mathematical thinking coherently and precisely and analyze their work, the work of peers, or teacher generated materials.

Representation (25%)

Students will translate and apply the important features of the graphs of trigonometric functions.

**Major Assessments and Success Criteria**The fundamental purpose of this course is to formalize and extend students’ previous trigonometric experiences to include trigonometric functions and their graphs, proving fundamental trigonometric identities, and using trigonometric formulas to solve real world applications. Students will engage in formative practices, summative assessments, performance and unit tasks employing the essential learning goals listed above as applied to mathematical reasoning.Through a process of reflection and revision, students will work towards mastery of his/her learning. Assessments will be multifaceted with an emphasis on skills that will enhance their upper level math thinking, and will relate mathematics to the real world.