Skip to main content
California Department of Education Logo

Mathematics Standards




Results


Showing 81 - 90 of 128 Standards

Standard Identifier: G-C.2

Grade Range: 8–12
Domain: Circles
Discipline: Math II
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: Math II
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.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.4

Grade Range: 8–12
Domain: Circles
Discipline: Math II
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: Math II
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: 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: N-CN.1

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.

Standard Identifier: N-CN.2

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

Standard Identifier: N-CN.7

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
Solve quadratic equations with real coefficients that have complex solutions.

Showing 81 - 90 of 128 Standards


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