Orange Public Schools CCSS Curriculum
CONTENT AREA: Mathematics
#
1
2
3
4
5
Course: Geometry UNIT #: 4
UNIT NAME: Trig & Circles
STUDENT LEARNING OBJECTIVES
CORRESPONDING CCSS
Derive the definitions for trigonometric ratios using similarity
of right triangles.
Use trigonometric ratios and to solve right triangles in applied
problems.★
Identify and describe relationships among inscribed angles,
radii, and chords. Include relationship between central,
inscribed, and circumscribed angles and inscribed angles on a
diameter are right angles.
Construct tangent line from a point outside a given circle to
the circle and describe the relationship of the angle formed by
the radius of a circle and the line that is tangent to the point
where the radius intersects the circle.
Construct the inscribed and circumscribed circles of a triangle
and prove properties of angles for a quadrilateral inscribed in a
circle. Find the angle measures in degrees.
G.SRT.6
G.SRT.8
G.C.2
G.C.4, G.C.2
G.C.3
Major Content Supporting Content Additional Content Identified by PARCC Model Content Frameworks
Code #
G.SRT.6
G.SRT.8
G.C.2
G.C.3
G.C.4
Common Core State Standards
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute angles.
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship
between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles;
the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a
quadrilateral inscribed in a circle.
(+) Construct a tangent line from a point outside a given circle to the circle.