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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.3: Geometry
  • Grade Level - CC.2.3.HS: GRADE High School
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

    • Eligible Content - G.1.1.1.1 Identify, determine and/or use the radius, diameter, segment and/or tangent of a circle.
    • Eligible Content - G.1.1.1.2 Identify, determine and/or use the arcs, semicircles, sectors, and/or angles of a circle.
    • Eligible Content - G.1.1.1.3 Use chords, tangents, and secants to find missing arc measures or missing segment measures.
    • 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

  • Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
  • Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
  • 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.
  • Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
  • 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

  • Eligible Content - G.2.2.1.1 Use properties of angles formed by intersecting lines to find the measures of missing angles.
  • 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.
  • Eligible Content - G.2.2.2.1 Estimate area, perimeter or circumference of an irregular figure.
  • Eligible Content - G.2.2.2.2 Find the measurement of a missing length given the perimeter, circumference, or area.
  • 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.
  • Eligible Content - G.2.2.2.4 Develop and/or use strategies to estimate the area of a compound/composite figure.
  • Eligible Content - G.2.2.2.5 Find the area of a sector of a circle.
  • 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?).
  • Eligible Content - G.2.2.4.1 Use area models to find probabilities.
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