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Math

Mississippi Math

Compacted Mathematics Grade 7: Geometry

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

7.G.1

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

7.G.2

Fully covered
Draw (freehand, with ruler and protractor, and with technology) 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.3

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

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

7.G.4

Fully covered
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

7.G.5

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

7.G.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.

Understand congruence and similarity using physical models, transparencies, or geometry software

8.G.1

Verify experimentally the properties of rotations, reflections, and translations

8.G.1.a

Fully covered
Lines are taken to lines, and line segments to line segments of the same length.

8.G.1.b

Fully covered
Angles are taken to angles of the same measure.

8.G.1.c

Fully covered
Parallel lines are taken to parallel lines.

8.G.2

Fully covered
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

8.G.3

Fully covered
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.4

Fully covered
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.5

Fully covered
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

8.G.9

Fully covered
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.