Download Unit plan - Chengage

Curriculum Map for:
Time
Frame /
Content
2-3
week
Geometry 21/22
Essential
Question(s)
How do you find a
side length or angle
measure in a right
triangle?
How do
trigonometric
ratios relate to
similar right
triangles?
Skills
Vocabulary Words:
Pythagorean Theorem
Square root (radicals)
Hypotenuse
Similar triangles
Trigonometric ratios
Angles (Theta)
Rationalize denominator
Simplify radicals
Angle of depression and angle of elevation
Law of Sine
Law of Cosine
Co-functions (sine and cosine only)
Prior Knowledge:
Objectives:
Use the Pythagorean theorem to find the length of a missing
Hypotenuse or leg of a right triangle.
Recognize Pythagorean triples.
Derive and use the Converse of the Pythagorean Theorem to prove
a triangle is a right triangle.
Derive and use the shortcuts found in a right isosceles triangle.
Recognize when to use the shortcuts found in all 30-60-90
triangles.
Recognize when to use the 45-45-90 triangle Theorem and the 3060-90 triangle Theorem, instead of the Pythagorean Theorem to
find missing lengths of leg in a right triangle or missing
hypotenuse.
Write and use a trigonometric ratio to find a missing length of a
right triangle.
Common Core
Standards
Projects and Assessments
G.SRT.8
G.SRT.4
G.MG.1
G.SRT.7
G.SRT.11
G.SRT.10
Differentiation/ Strategies
Think pair share
group activity
Vocabulary support handout
Resources
www.pearsonsucessnet.com
www.engageny.org
www.jmap.org
Use a trigonometric ratio and it's inverse to find the measure of
any of the missing acute angles in a right triangle.
Identify angles of elevation and angles of depression.
Use the angles of elevation and depression as the acute angles in
right triangles formed by a horizontal distance and a vertical
height.
Create and solve problems using similar right triangles to find
indirect measure of missing heights and lengths.
Draw an altitude in a triangle and derive the Law of Sines.
Use the Law of Sines given (AAS).
Use the Law of Sines given (SSA).
Apply the Laws of Sines to solve for missing angle measures and
lengths in a triangle.
Draw an altitude in a triangle and derive the Law of Cosines.
Use the Law of Cosines given (SAS).
Use the Law of Cosines given (SSS).
Apply the Laws of Cosines to solve for missing angle measures
and lengths in a triangle.