Mathematics Standards
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Circles
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Counting and Cardinality
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Making Inferences and Justifying Conclusions
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Quantities
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The Complex Number System
Results
Showing 21 - 30 of 55 Standards
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.
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:
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.
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:
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.
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
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:
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
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.
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.
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.
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
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:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Standard Identifier: N-CN.9
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:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Showing 21 - 30 of 55 Standards
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