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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.10

Translate between the geometric description and the equation for a conic section.

  • Assessment Anchor - A2.2.1

    Patterns, Relations, and Functions

    • Anchor Descriptor - A2.2.1.1 Analyze and/or use patterns or relations.
      • 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.
      • 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).

      • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
      • 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

    • Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
      • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
      • 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).
      • 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.

      • Eligible Content - A2.2.2.1.4

        Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

    • Anchor Descriptor - A2.2.2.2 Describe and/or determine families of functions.
      • 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

    • Anchor Descriptor - G.2.1.1 Solve problems involving 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.
    • Anchor Descriptor - G.2.1.2 Solve problems using analytic geometry.
      • 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.
    • Anchor Descriptor - G.2.1.3 Compute and/or use the slope of a line.
    • Anchor Descriptor - G.2.1.4 Solve and/or graph systems of equations and inequalities using coordinate geometry.
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