Standards Detail
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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.3: Geometry
- Grade Level - CC.2.3.HS: GRADE High School
Standard - CC.2.3.HS.A.8
Apply geometric theorems to verify properties of circles.
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Assessment Anchor - G.1.1
Properties of Circles, Spheres, and Cylinders
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Anchor Descriptor - G.1.1.1 Identify and/or use parts of circles and segments associated with circles, spheres, and cylinders.
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Eligible Content - G.1.1.1.1 Identify, determine and/or use the radius, diameter, segment and/or tangent of a circle.
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Eligible Content - G.1.1.1.2 Identify, determine and/or use the arcs, semicircles, sectors, and/or angles of a circle.
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Eligible Content - G.1.1.1.3 Use chords, tangents, and secants to find missing arc measures or missing segment measures.
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Eligible Content - G.1.1.1.4 Identify and/or use the properties of a sphere or cylinder.
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Assessment Anchor - G.1.3
Congruence, Similarity, and Proofs
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Anchor Descriptor - G.1.3.1 Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures.
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Eligible Content - G.1.3.1.1 Identify and/or use properties of congruent and similar polygons or solids.
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Eligible Content - G.1.3.1.2 Identify and/or use proportional relationships in similar figures.
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Anchor Descriptor - G.1.3.2 Write formal proofs and/or use logic statements to construct or validate arguments.
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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).
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Assessment Anchor - G.2.2
Measurements of Two-Dimensional Shapes and Figures
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Anchor Descriptor - G.2.2.1 Use and/or compare measurements of angles.
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Eligible Content - G.2.2.1.1 Use properties of angles formed by intersecting lines to find the measures of missing angles.
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Eligible Content - G.2.2.1.2 Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles.
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Anchor Descriptor - G.2.2.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, and/or area. (May require conversions within the same system.)
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Eligible Content - G.2.2.2.1 Estimate area, perimeter or circumference of an irregular figure.
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Eligible Content - G.2.2.2.2 Find the measurement of a missing length given the perimeter, circumference, or area.
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Eligible Content - G.2.2.2.3 Find the side lengths of a polygon with a given perimeter to maximize the area of the polygon.
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Eligible Content - G.2.2.2.4 Develop and/or use strategies to estimate the area of a compound/composite figure.
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Eligible Content - G.2.2.2.5 Find the area of a sector of a circle.
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Anchor Descriptor - G.2.2.3 Describe how a change in one dimension of a 2-dimensional figure affects other measurements of that figure.
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Eligible Content - G.2.2.3.1 Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area. (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?).
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Anchor Descriptor - G.2.2.4 Apply probability to practical situations.
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Eligible Content - G.2.2.4.1 Use area models to find probabilities.
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