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Mathematics Standards

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Showing 1 - 9 of 9 Standards

Standard Identifier: G-C.1

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
Prove that all circles are similar.

Standard Identifier: G-C.2

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
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.

Standard Identifier: G-C.3

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Standard Identifier: G-C.4

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Understand and apply theorems about circles.

Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.

Standard Identifier: G-C.5

Grade Range: 8–12
Domain: Circles
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Find arc lengths and areas of sectors of circles. [Radian introduced only as unit of measure]

Standard:
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Convert between degrees and radians. CA

Standard Identifier: F-TF.1

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Math III
Conceptual Category: Functions

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Standard Identifier: F-TF.2

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Math III
Conceptual Category: Functions

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

Standard Identifier: F-TF.2.1

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Math III
Conceptual Category: Functions

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Graph all 6 basic trigonometric functions. CA

Standard Identifier: F-TF.5

Grade Range: 9–12
Domain: Trigonometric Functions
Discipline: Math III
Conceptual Category: Functions

Cluster:
Model periodic phenomena with trigonometric functions.

Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *

Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881