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Chapter 9 – Right Triangles and Trigonometry
Concept
The
Pythagorean
Theorem
The Converse of
The
Pythagorean
Theorem
Trigonometric
Ratios
Solving Right
Triangles
Special Right
Triangles
Core Content
MA–HS–2.1.3
MA–HS–2.1.3
MA–HS–2.1.3
MA–HS–2.1.3
MA–HS–2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean Theorem) to
determine length and angle
measures to solve real-world
and mathematical problems.
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean Theorem) to
determine length and angle
measures to solve real-world
and mathematical problems.
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean Theorem) to
determine length and angle
measures to solve real-world
and mathematical problems.
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean Theorem) to
determine length and angle
measures to solve real-world
and mathematical problems.
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean Theorem) to
determine length and angle
measures to solve real-world
and mathematical problems.
Objective
SWBAT:
 Use the Pythagorean Theorem to find
missing sides of right triangles
 Define and identify a Pythagorean triple
 Use the Pythagorean Theorem and its
converse to solve real-world problems
SWBAT:
 Use the Converse of the Pythagorean
Theorem to determine if a triangle is acute,
right, or obtuse
SWBAT:
 Find the sine, cosine, and tangent ratios of
an acute angle
 Use trigonometric ratios to solve
mathematical and real-world problems
SWBAT:
 Find all side and angle measures in a right
triangle
 Use inverse trigonometric functions to solve
problems
SWBAT:
 Find the side lengths of 30°-60°-90° right
triangles
 Find the side lengths of 45°-45°-90° right
triangles
 Use special right triangles to solve
mathematical and real-world problems