Unit/Chapter: Right Triangles and Trigonometry Dates / Time Frame: 8-10 days
Standards-based Essential Skills &
Concepts
Throughout the Unit
G-1.1 Demonstrate an understanding of the axiomatic structure of geometry by using undefined terms, definitions, postulates, theorems, and corollaries.
G-1.2 Communicate knowledge of geometric relationships by using mathematical terminology appropriately.
G-1.8 Connect geometry with other branches of mathematics.
G-1.9 Demonstrate an understanding of how geometry applies to real-world contexts
(including architecture, construction, farming, and astronomy)
G-3.8 Apply congruence and similarity relationships among triangles to solve problems.
G-3.10 Use the Pythagorean Theorem and its converse to solve problems.
G-3.11 Use the properties of 45-45-90 and
30-60-90 triangles to solve problems.
G-3.12 Use trigonometric ratios to solve problems involving right triangles.
G-6.5 Carry out a procedure to represent the sum of two vectors geometrically by using the parallelogram method.
G-6.6 Carry out a procedure to determine the magnitude and direction of the resultant of two vectors by using a scale drawing and direct measurement.
G-6.7 Carry out a procedure to compute the
Learning Goals for
Unit/Chapter
Solve problems involving similar right triangles formed by the altitude drawn to the hypotenuse of a right triangle.
(Standards: 1.1, 3.8)
(Text: Chapter 9, section 1)
Use the Pythagorean
Theorem.
(Standards: 1.1, 1.2, 1.9, 3.10 )
(Text: Chapter 9, sections 2,3)
Use the Converse of the
Pythagorean Theorem.
(Standard: 3.10)
(Text: Chapter 9, section 3)
Use side lengths to classify triangles by their angle measures.
(Standards: 1.1, 1.2, 3.10)
(Text: Chapter 9, section 4)
Find side lengths of special right triangles.
(Standards: 3.10, 3.11)
(Text: Chapter 9 , section 4)
Find trigonometric ratios of an acute angle.
(Standards: 1.8, 1.9, 3.12)
(Text: Chapter 9, section 5)
Solve a right triangle.
(Standards: 1.8, 1.9, 3.12)
(Text: Chapter 9, section 6)
Find the magnitude and the direction of a vector.
(Standards: 6.5, 6.6, 6.7, 6.8 )
Strategies / Best Practices / Methods Used to Explicitly Teach the Skills & Concepts
Calculator References
Peer tutoring
Examples
Algebra Review
Hands-on-Activities
Projects
Group Work
Assessments: Resources for
Unit/Chapter
Summative
Assessment
(at the end of
Text:
Geometry
McDougal the unit):
Unit Test on
Littell
SC Standards
Chapter 9
Corrections on tests
Formative
Assessments
(throughout the unit):
Teacher made quizzes or worksheets
Daily homework assignments

magnitude of the resultant of two perpendicular vectors by using the
Pythagorean Theorem.
G-6.8 Carry out a procedure to determine the direction of the resultant of two perpendicular vectors by using a scale drawing and direct measurement.
(Text: Chapter 9, section 7)
Find the sum of two vectors.
(Standard: 6.5)
(Text: Chapter 9, section 7)