3. Student Learning Map

  • Topic:09. Right Triangle Trigonometry (Chapter 9)
  • Subject(s):Math
  • Days:18
  • Grade(s):9, 10
Key Learning:

Trigonometric ratios are developed as applications of right triangle geometry.

Unit Essential Question(s):
 
 
How are the trigonometric ratios used to find unknown lengths and angle measures in diagrams and real world scenarios?
   
Concept:

Right Triangle Trigonometry

PH: 9.1, 9.2

MCD: 8.5, 8.6

Concept:

Angles of Elevation and Depression

PH: 9.3

MCD: 8.7

Concept:

Vectors

PH: 9.4

MCD: 13.4

Lesson Essential Question(s):

How are sine, cosine, and tangent ratios applied to determine missing sides and angles in right triangles?

(A)
Lesson Essential Question(s):

How do angles of elevation differ from angles of depression? (A)

(ET)
Lesson Essential Question(s):

How are vectors used to describe application problems?

(A)
Concept:

Trigonometry and Area

PH: 9.5

Concept: Law of Sines PH Alg 2 Textbook: 14.4
Concept: Law of Cosines PH Alg 2 Textbook: 14.5
Lesson Essential Question(s):

How can the area of a triangle be found when given an angle and two adjacent sides?

(A)
Lesson Essential Question(s):

How does the Law of Sines relate to triangles?

(A)

How can the Law of Sines be applied to find missing lengths and angle measures of triangles?

(A)
Lesson Essential Question(s):

How can the Law of Cosines be applied to find missing lengths and angle measures of triangles? (A)
Vocabulary:

Vocabulary:

Law of Sines

Vocabulary:

Law of Cosines

Additional Information:

Prentice Hall Geometry Textbook Chapter 9 (9.1-9.3, 9.5)

Geometry (McDougal/Littell-Jergensen/Brown/Jergensen) Textbook Chapter 8 (8.5-8.7), and Chapter 13 (13.4)

Prentice Hall Algebra 2 Textbook Chapter 14 (14.4, 14.5)

Calculator, graph paper, straightedge

Pasco Mathematics Performance Tasks (PMPT): Distance to Dinner

Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Extra time has been added to this unit to allow for FCAT review and testing.

Resources:

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • tangent -
  • vector -
  • Law of Cosines -
  • Law of Sines -
  • angle of elevation -
  • angle of depression -
  • sine -
  • magnitude -
  • cosine -
  • initial point -
  • identity -
  • terminal point -
  • resultant -