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STANDARDS

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US-SC

Math

South Carolina Math

Grade 7: Geometry and Measurement

7.GM.1

Mostly covered
Determine the scale factor and translate between scale models and actual measurements (e.g., lengths, area) of real-world objects and geometric figures using proportional reasoning.

7.GM.2

Construct triangles and special quadrilaterals using a variety of tools (e.g., freehand, ruler and protractor, technology).

7.GM.2a

Fully covered
Construct triangles given all measurements of either angles or sides.

7.GM.2b

Fully covered
Decide if the measurements determine a unique triangle, more than one triangle, or no triangle.

7.GM.2c

Not covered
Construct special quadrilaterals (i.e., kite, trapezoid, isosceles trapezoid, rhombus, parallelogram, rectangle) given specific parameters about angles or sides.
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7.GM.3

Fully covered
Describe two-dimensional cross-sections of three-dimensional figures, specifically right rectangular prisms and right rectangular pyramids.
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7.GM.4

Investigate the concept of circles.

7.GM.4a

Fully covered
Demonstrate an understanding of the proportional relationships between diameter, radius, and circumference of a circle.

7.GM.4b

Not covered
Understand that the constant of proportionality between the circumference and diameter is equivalent to π.
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7.GM.4c

Not covered
Explore the relationship between circumference and area using a visual model.
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7.GM.4d

Fully covered
Use the formulas for circumference and area of circles appropriately to solve real-world and mathematical problems.

7.GM.5

Fully covered
Write equations to solve problems involving the relationships between angles formed by two intersecting lines, including supplementary, complementary, vertical, and adjacent.

7.GM.6

Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.

7.GM.6a

Not covered
Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons.
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7.GM.6b

Not covered
Understand that the concepts of volume and surface area are applied to three-dimensional figures such as cubes, right rectangular prisms, and right triangular prisms.
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7.GM.6c

Not covered
Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to derive the formulas for volume and surface area.
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7.GM.6d

Not covered
Use the formulas for area, volume, and surface area appropriately.
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