Mathematics Standards
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Conditional Probability and the Rules of Probability
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Expressing Geometric Properties with Equations
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Interpreting Categorical and Quantitative Data
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Modeling with Geometry
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The Complex Number System
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Showing 31 - 40 of 93 Standards
Standard Identifier: G-GPE.6
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Standard Identifier: G-GPE.6
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Use coordinates to prove simple geometric theorems algebraically.
Standard:
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Standard Identifier: G-GPE.7
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *
Standard Identifier: G-MG.1
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Standard Identifier: G-MG.2
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Standard Identifier: G-MG.3
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
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).
Showing 31 - 40 of 93 Standards
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