Curriculum Map Trigonometry (semester course)

Grade: High School School: High School Date: 2009 – 2010

Month Content Skills Learned Assessment

January

Chapter 1: Angles and Trigonometric Functions

Determine and graph coterminal angles.

Convert between degrees – minutes – seconds and decimal degrees.

Convert between radian and degree measures.

Apply and use formulas for arc length, angular velocity, and linear velocity.

Evaluate using a calculator and without a calculator for special angles the six basic trig functions: sin, cos, tan, csc, sec, and cot.

Find and use reference angles to solve problems.

Find the six basic trig functions for an angle based on the sides of a right triangle.

Apply trigonometric ratios to find angles of a triangle or lengths of sides of a triangle.

Daily Class work/Homework Chapter 1 Test

February

Chapter 2: Graphs of Trigonometric Functions

Analyze the equation of trigonometric equations and the graphs of sin and cos to find: amplitude, period, horizontal translation, and vertical translation.

Graph trigonometric equations for sin and cos based on: amplitude, period, horizontal translation, and vertical translation.

Analyze the equation of trigonometric equations and the graphs of tan, cot, sec, and csc to find: period, horizontal translation, vertical translation, and vertical asymptotes.

Graph trigonometric equations for tan, cot, sec, and csc to find: period, horizontal translation, vertical translation, and vertical asymptotes.

Find the domain and range for trigonometric equations.

Daily Class work/Homework Chapter 2 Test

Curriculum Map Trigonometry (semester course)

Grade: High School School: High School Date: 2009 – 2010

Month Content Skills Learned Assessment

March

Chapter 3: Trigonometric Identities

Use trigonometric identities to simplify expressions.

Verify an equation is an identity.

Trigonometric Identities: Reciprocal Identities, Tan & Cot Identities, Odd & Even Identities, Pythagorean Identities, Sum & Difference Identities, Double angle and Half angle Identities,

Daily Class work/Homework 3rd Quarter Benchmark Chapter 3 Test

April

Chapter 5: Applications of Trigonometry

Use and apply the law of sines for triangles.

Use and apply the law of cosines for triangles.

Find the area of an oblique triangle.

Daily Class work/Homework Chapter 5 Test

May

Chapter 4: Solving Conditional Trigonometric Equations

Evaluate inverse trigonometric equations.

Evaluate compositions of functions.

Find all solutions for conditional trigonometric equations.

Factor and solve trigonometric equations of quadratic type.

Daily Class work/Homework 4th Quarter Benchmark Chapter 4 Test