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STANDARDS

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US-MA

Math

Massachusetts Math

Grade 7: Geometry

7.G.A

Draw, construct, and describe geometrical figures and describe the relationships between them.

7.G.A.1

Fully covered
Solve problems involving scale drawings of geometric figures, such as computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

7.G.A.2

Fully covered
Draw (freehand, with ruler and protractor, and with technology) two-dimensional geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

7.G.A.3

Fully covered
Describe the shape of the two-dimensional face of the figure that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

7.G.B

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

7.G.B.4

Circles and measurement:

7.G.B.4.a

Not covered
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.
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7.G.B.4.b

Fully covered
Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.

7.G.B.4.c

Fully covered
Understand and describe the relationship among the radius, diameter, and area of a circle.

7.G.B.4.d

Fully covered
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.
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7.G.B.5

Fully covered
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write simple equations and use them to solve for an unknown angle in a figure.

7.G.B.6

Fully covered
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.