Derive and apply the formulas for the area of sector of a circle. exponential functions. Task(s): How are the circular functions related to the trigonometric functions? Domain: Reasoning with Equations and Objective(s): Inequalities Additional Resources: Cluster: Understand solving equations as a Students will convert degree measures of process of reasoning and explain the angles to radian and vice versa. reasoning Students will derive and apply the formula for the area of a sector of a circle. Glencoe Vocabulary: quadrantal angle, reference angle, Domain: Trigonometric Functions Enduring Understanding(s): 4-3: Trigonometric Functions on the Unit Circle unit circle, circular function, periodic function, Cluster: Extend the domain of trigonometric There is a direct relationship between right Sullivan period functions using the unit circle. triangle trigonometry and trigonometric 6.2: Trigonometric Functions: Unit Circle functions. Approach Writing in Math: Special triangles and the unit circle can be used to find values for trigonometric Make a conjecture as to the periods of the Use special triangles to determine Task(s): functions of specific angles. secant, cosecant and cotangent functions. geometrically the values of sine, cosine, The trigonometric functions are extended to Explain your reasoning. tangent for and and use the unit π/3, π/4 π/6, all real numbers to describe rotations circle to express the values of sine, cosine, around the unit circle. and tangent for π–x, π+x, and 2π–x in terms Additional Resources: of their values for x, where x is any real Essential Question(s): number. How can special right triangles help us find the coordinates of certain angles on the unit circle? Objective(s): Students will find the values of trigonometric functions for any
Derive and apply the formulas for the area of sector of a circle. exponential functions. Domain: Reasoning with Equations and Inequalities Cluster: Understand solving equations as a process of reasoning and explain the reasoning How are the circular functions related to the trigonometric functions? Objective(s): Students will convert degree measures of angles to radian and vice versa. Students will derive and apply the formula for the area of a sector of a circle. Task(s): Additional Resources: Domain: Trigonometric Functions Cluster: Extend the domain of trigonometric functions using the unit circle. Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number. Enduring Understanding(s): There is a direct relationship between right triangle trigonometry and trigonometric functions. Special triangles and the unit circle can be used to find values for trigonometric functions of specific angles. The trigonometric functions are extended to all real numbers to describe rotations around the unit circle. Essential Question(s): How can special right triangles help us find the coordinates of certain angles on the unit circle? Objective(s): Students will find the values of trigonometric functions for any Glencoe 4-3: Trigonometric Functions on the Unit Circle Sullivan 6.2: Trigonometric Functions: Unit Circle Approach Task(s): Additional Resources: Vocabulary: quadrantal angle, reference angle, unit circle, circular function, periodic function, period Writing in Math: Make a conjecture as to the periods of the secant, cosecant and cotangent functions. Explain your reasoning.
PreCal%2016-17%20Revised%208-17-16.docx