syllabus trigonometry 3

7/27/2019 Syllabus Trigonometry 3

1/8

Syllabus: TRIGONOMETRY

Note: 1 period is equivalent to 40 minutes

Subject Valu

Chapter 3

Right TriangleTrigonometry and

Basic Identities

To solve right triangles, 3.1 Solving Right Review the Pythagorean theorem and its use Assignment Architecture

given the measures of one Triangles in solving right triangles. Seatwork

angle and one side or the Be sure that the students know the Quiz

measures of two sides trigonometric ratios in terms of x, y, r, a, b, c;

and opposite, adjacent, hypotenuse.

Emphasize that solving a right triangle means

finding the measures of all unknown side

and angles.

Review significant digits and how they are

determined.

Introduce alternate methods of finding the

unknown measures (that is, the use of other

trigonometric ratios). However, point out that

the ratio involves the simplest calculation

should be used.

Ask students to outline a set of steps that

could be followed when solving right triangles.

Then ask them to point out where studentsare most likely to make mistakes.

Integration

Objectives Learning Activities/Strategies AssessmentConcept/Topics


2/8

Subject Valu

To define and use angles 3.2 Application: Emphasize that angles of depression and Assignment Navigation

of elevation and depression Angles of elevation are formed with the horizontal./ Seatwork

Elevation and Show that any angle of elevation problem can Quiz

Depression be solved as an angle of depression problem

Stress that if drawing is not given, one shouldalways be made to depict given information.

Ask students to list areas of interest in their

lives where they could use trigonometry and

angles of elevation and depression to solve

problems.

To solve real-world 3.3 Applications Further develop the idea of bearing. Illustrate

problems using drawings to determine a bearing given a

trigonometry particular direction or line of travel.

Students often confuse course and bearing.

Be sure to emphasize that course is the angle

formed by the line of travel with due north.

Guide students in problem solving.

Give at least four examples.

To introduce and prove the 3.4 Fundamental Show, or have students express, the alternate Assignment Engineering

reciprocal, ratio, Identities forms of the reciprocal and Pythagorean Seatwork

Pythagorean, and odd-even identities. Quiz

identities Emphasize that students must remember

the basic identities because they are often

use in proving identities and writingequivalent trigonometric expressions.

Ask students why it is not permissible to work

across the equal sign when proving identities.

Objectives Learning Activities/Strategies Assessment

Integration

Concept/Topics


3/8

Subject Valu

To use the fundamental 3.5 Equivalent The skills used to manipulate and simplify Assignment Genetics

identities to write Trigonometric algebraic expression can also be use with Seatwork

equivalent trigonometric Expressions trigonometric expressions. Give examples Quiz

expressions. for both so students can make a comparison

Emphasize that simplifying an expressiondoes not always reduce the number of terms

in the expression.

Some students are afraid to make

substitutions that expand a trigonometric

expression. Emphasize that it is often

necessary to expand an expression in order

to simplify it.

To use the fundamental 3.6 Proving Stress that variables must be included to Assignment Algebra

identities to prove other Identities have identities. Seatwork

identities Stress that verifying identities using specific Quiz

substitutions is different from proving

identities.

Stress that identities are true for all values

for which the expression is defined.

Ask students to compare and contrast

solving equations with proving identities.

Mastery Test

Objectives Learning Activities/Strategies Assessment

Integration

Concept/Topics


4/8

Subject ValuObjectives Learning Activities/Strategies Assessment

Integration

Concept/Topics


5/8

Subject Valu

To solve problems

involving simple harmonic

motion

Objectives

Integration

Concept/Topics Learning Activities/Strategies Assessment


6/8

Subject ValuObjectives Concept/Topics Learning Activities/Strategies Assessment

Integration


7/8


8/8

syllabus trigonometry 3

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