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.1
Use geometric figures and their properties to represent transformations in the plane.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).Standard - CC.2.3.HS.A.2
Apply rigid transformations to determine and explain congruence.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).Standard - CC.2.3.HS.A.3
Verify and apply geometric theorems as they relate to geometric figures.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.2:
Properties of Polygons and Polyhedra
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Eligible Content - G.1.2.1.1 Identify and/or use properties of triangles
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Eligible Content - G.1.2.1.2 Identify and/or use properties of quadrilaterals
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Eligible Content - G.1.2.1.3 Identify and/or use properties of isosceles and equilateral triangles.
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Eligible Content - G.1.2.1.4 Identify and/or use properties of regular polygons
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Eligible Content - G.1.2.1.5 Identify and/or use properties of pyramids and prisms.
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
- Assessment Anchor - G.1.3:
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).
- Assessment Anchor - G.2.2:
Measurements of Two-Dimensional Shapes and Figures
- Assessment Anchor - G.2.2:
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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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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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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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Eligible Content - G.2.2.4.1 Use area models to find probabilities.Standard - CC.2.3.HS.A.4
Apply the concept of congruence to create geometric constructions.
Standard - CC.2.3.HS.A.5Create justifications based on transformations to establish similarity of plane figures.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).Standard - CC.2.3.HS.A.6
Verify and apply theorems involving similarity as they relate to plane figures.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).Standard - CC.2.3.HS.A.7
Apply trigonometric ratios to solve problems involving right triangles.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.2.1:
Coordinate Geometry and Right Triangles
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Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.
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Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
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Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.Standard - CC.2.3.HS.A.8
Apply geometric theorems to verify properties of circles.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.1:
Properties of 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.
- Assessment Anchor - G.1.3:
Congruence, Similarity, and Proofs
- Assessment Anchor - G.1.3:
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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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Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).
- Assessment Anchor - G.2.2:
Measurements of Two-Dimensional Shapes and Figures
- Assessment Anchor - G.2.2:
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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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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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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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Eligible Content - G.2.2.4.1 Use area models to find probabilities.Standard - CC.2.3.HS.A.9
Extend the concept of similarity to determine arc lengths and areas of sectors of circles.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.1:
Properties of 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.
- Assessment Anchor - G.2.1:
Coordinate Geometry and Right Triangles
- Assessment Anchor - G.2.1:
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Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.
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Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
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Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.
- Assessment Anchor - G.2.2:
Measurements of Two-Dimensional Shapes and Figures
- Assessment Anchor - G.2.2:
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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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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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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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Eligible Content - G.2.2.4.1 Use area models to find probabilities.Standard - CC.2.3.HS.A.10
Translate between the geometric description and the equation for a conic section.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - A2.2.1:
Patterns, Relations, and Functions
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Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
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Eligible Content - A2.2.1.1.2
Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).
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Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
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Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
- Assessment Anchor - A2.2.2:
Applications of Functions
- Assessment Anchor - A2.2.2:
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Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
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Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
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Eligible Content - A2.2.2.1.3
Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
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Eligible Content - A2.2.2.1.4
Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
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Eligible Content - A2.2.2.2.1
Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).
- Assessment Anchor - G.2.1:
Coordinate Geometry and Right Triangles
- Assessment Anchor - G.2.1:
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Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.
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Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
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Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.Standard - CC.2.3.HS.A.11
Apply coordinate geometry to prove simple geometric theorems algebraically.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.2.1:
Coordinate Geometry and Right Triangles
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Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
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Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.
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Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
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Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.Standard - CC.2.3.HS.A.12
Explain volume formulas and use them to solve problems.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.2.3:
Measurements of Three-Dimensional Shapes and Figures
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Eligible Content - G.2.3.1.1 Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.2 Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.3 Find the measurement of a missing length given the surface area or volume.
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Eligible Content - G.2.3.2.1 Describe how a change in the linear dimension of a figure affects its surface area or volume. (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).Standard - CC.2.3.HS.A.13
Analyze relationships between two-dimensional and three-dimensional objects.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.1.1:
Properties of 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.
- Assessment Anchor - G.1.2:
Properties of Polygons and Polyhedra
- Assessment Anchor - G.1.2:
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Eligible Content - G.1.2.1.1 Identify and/or use properties of triangles
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Eligible Content - G.1.2.1.2 Identify and/or use properties of quadrilaterals
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Eligible Content - G.1.2.1.3 Identify and/or use properties of isosceles and equilateral triangles.
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Eligible Content - G.1.2.1.4 Identify and/or use properties of regular polygons
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Eligible Content - G.1.2.1.5 Identify and/or use properties of pyramids and prisms.
- Assessment Anchor - G.2.3:
Measurements of Three-Dimensional Shapes and Figures
- Assessment Anchor - G.2.3:
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Eligible Content - G.2.3.1.1 Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.2 Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.3 Find the measurement of a missing length given the surface area or volume.
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Eligible Content - G.2.3.2.1 Describe how a change in the linear dimension of a figure affects its surface area or volume. (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).Standard - CC.2.3.HS.A.14
Apply geometric concepts to model and solve real world problems.
- Standard Area - CC.2.3: Geometry
- Assessment Anchor - G.2.2:
Measurements of Two-Dimensional Shapes and Figures
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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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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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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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Eligible Content - G.2.2.4.1 Use area models to find probabilities.
- Assessment Anchor - G.2.3:
Measurements of Three-Dimensional Shapes and Figures
- Assessment Anchor - G.2.3:
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Eligible Content - G.2.3.1.1 Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.2 Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.
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Eligible Content - G.2.3.1.3 Find the measurement of a missing length given the surface area or volume.
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Eligible Content - G.2.3.2.1 Describe how a change in the linear dimension of a figure affects its surface area or volume. (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).
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