College Algebra/Trigonometry: Chapter 14: Trigonometric Functions
Halvorsen
Section 1: Angles
Section One Objectives: Understand the basic terminology of angles; find the measures of
complementary and supplementary angles; calculate with degrees, minutes, and seconds;
convert between decimal degrees and degree, minutes, and seconds; find the measures of
coterminal angles.
Section 2: Angle Relationships and Similar Triangles
Section Two Objectives: Find the measures of vertical angles and angles that are formed when
parallel lines are intersected by a transversal; apply the angle sum of a triangle property; classify
triangles; find the unknown angle measures and side lengths in similar triangles.
Section 3: Trigonometric Functions
Section Three Objectives: Find the values of the six trigonometric functions of an angle; find the
trigonometric function values of a quadrantal angle.
Section 4: Using the Definitions of the Trigonometric Functions
Section Four Objectives: Use the reciprocal identities to find function values; determine the
signs of the trigonometric functions of nonquadrantal angles; know the ranges of the
trigonometric functions; find all function values given one value and the quadrant; use
thePythagorean and quotient identiites to find function values.
Chapter 14 Alignment to Core Standards:
Domain G.CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line
segment, based on the undefined notions of point, line, distance along a line, and distance around a
circular arc.
Domain G.CO.B.7: Use the definition of congruence in terms of rigid motions to show that two triangles
are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are
congruent.
Domain HSG-SRT.B.5: Prove theorems involving similarity. Use congruence and similarity criteria for
triangles to solve problems and to prove relationships in geometric figures.
Domain HSG-SRT.C.6: Define trigonometric ratios and solve problems involving right triangles.
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.
Domain HSG-SRT.C.7: Define trigonometric ratios and solve problems involving right triangles. Explain
and sue the relationship between the sine and cosine of complementary angles.
Domain HSG-SRT.C.8: Define trigonometric ratios and solve problems involving right triangles. Use
trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Timeline for Coverage:
Thursday, 04/03:
Teach Section 14-1
HW: Worksheet Assignment
Friday, 04/04:
Teach Section 14-2
HW: Kuta Worksheet Practice
Monday, 04/07:
Teach Section 14-3 (Day 1)
HW: Pg. 681; #2-12 Evens and #26-54 Evens
Tuesday, 04/08:
Teach Section 14-3 (Day 2)
HW: Pg. 681 – 682; #56 – 94 Evens
Wednesday, 04/09:
Review Sections 14-1 to 14-3
HW: Practice Quiz
Thursday, 04/10:
Quiz over 14-1 to 14-3
HW: None
Friday, 04/11:
Teach Section 14-4 (Day 1)
HW: Pg. 689-690; #2-30 Evens
Monday, 04/14:
Teach Section 14-4 (Day 2)
HW: Pg. 691; #32-58 Evens
Tuesday, 04/15:
Teach Section 14-4 (Day 3)
HW: Pg. 691 – 692; #62 – 80 Evens
Wednesday, 04/16:
Review Chapter 14
HW: Practice Test
Thursday, 04/17:
Test Chapter 14
HW: None
Friday, 04/18:
No Classes: Good Friday