Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Circles
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Counting and Cardinality
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Modeling with Geometry
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Number and Operations in Base Ten
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Quantities
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Similarity, Right Triangles, and Trigonometry
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Trigonometric Functions
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Using Probability to Make Decisions
Results
Showing 1 - 10 of 24 Standards
Standard Identifier: N-Q.1
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Standard Identifier: N-Q.2
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Standard Identifier: N-Q.3
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
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.
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.
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.
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.
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-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). *
Showing 1 - 10 of 24 Standards
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