Standards Map

Mathematics > Course Model Mathematics III (Integrated Pathway) > Modeling with Geometry
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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Modeling with Geometry

Cluster - Apply geometric concepts in modeling situations.

[MIII.G-MG.A.1] - Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*

Resources:

    Predecessor Standards:

    • 6.G.A.1
      Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
    • 7.G.B.4
      Circles and measurement
    • 7.G.B.4.a
      Know that a circle is a two-dimensional shape created by connecting all of the points equidistant from a fixed point called the center of the circle.
    • 7.G.B.4.b
      Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.
    • 7.G.B.4.c
      Understand and describe the relationship among the radius, diameter, and area of a circle.
    • 7.G.B.4.d
      Know the formulas for the area and circumference of a circle and use them to solve problems.
    • 7.G.B.4.e
      Give an informal derivation of the relationship between the circumference and area of a circle.
    • 7.G.B.6
      Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
    • 8.G.C.9
      Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • MI.N-Q.A.1
      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.*
    • MI.N-Q.A.2
      Define appropriate quantities for the purpose of descriptive modeling.*
    • MII.N-Q.A.3
      Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
    • MII.G-GPE.B.4
      Use coordinates to prove simple geometric theorems algebraically including the distance formula and its relationship to the Pythagorean Theorem. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
    • MII.G-GMD.A.3
      Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*