Download Title: Geometry – Special right triangles and Trigonometry Teacher

Title: Geometry – Special right triangles and Trigonometry
Teacher: Adalinda Avila
Date: 2/102/14
Subject/Course: Geometry
Grade: 10, 11 and
12
CA Standard(s):
18.0 Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They
also know and are able to use elementary relationships between them. For example, tan(x) = sin(x)/cos(x), (sin(x))2
+(cos(x)) 2 = 1.
19.0 Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and
a length of a side.
Learning Objective (s):
18.0A Identify Opposite and adjacent legs of a right triangle
18.0B Find the value of sine, cosine, and tangent ratios
18.0C Identifying the trig ratio given a right triangle.
18.0D Students will use the calculatorto find the value of various trig functions.
19.0A Students use trigonometric functions to solve for an unknown length of a side of a right triangle given an angle
s
and a length of a side.
Essential Question(s):
Which side is adjacent and which side is opposite to a given angle?
What are trigonometric ratios? How are trigonometric ratios used?
Which trigonometric ratio do I use to find a missing length of a right triangle?
Assessment:
Formative: Exit Slip, thumbs up/down, self created examples of inductive/deductive reasoning
Summarize: Quiz, Unit Test, Academic discourse using undefined terms and other basic geometric terms.
Do Now: Homework Corrections + homework reflection
WHOLE GROUP
Objectives
Students will

Identify Opposite and adjacent legs of a right triangle

Find the value of sine, cosine, and tangent ratios

Identifying the trig ratio given a right triangle.

Students will use the calculator to find the value of various trig functions.
DIRECT INTRUCTION STATION
Interactive mini review Lecture:
1. I do
2. We do
3. You do
Students take notes in their notebook
1. Definition of the basic trig functions
2. Solve for an unknown length using trig
ratios
3. Solve word problems involving trig ratios
Checking for Understanding
 Oral
 Questioning
 Self - Reflect
 Quizzes
COLLABORATIVE STATION
Students will identify opposite, adjacent and the
hypotenuse of a right triangle
Students will use their calculators to find trig
ratios.
After they compare their findings they will
Make a conjecture involving trig ratios
INDEPENDENT STATION
Students will continue exploring the
Concept of Trigonometric functions by
using a calculator.
Students can continue practicing through
REV-PREP.
Students will use their practice notebook
To work out the problems from rev pre.
Students will judge the validity of logical
arguments and compare with each other.
Students will give counterexamples to disprove
a statement.
Address possible misconceptions
Utilizes the interactive whiteboard