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Hovedinnhold

STANDARDS

Math

Common Core Math

Grade 8: Geometry

8.G.A

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

8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:

8.G.A.1.a

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

8.G.A.1.b

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

8.G.A.1.c

Fully covered
Parallel lines are taken to parallel lines.

8.G.A.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.A.3

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

8.G.A.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.A.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.

8.G.B

Understand and apply the Pythagorean Theorem.

8.G.B.6

Fully covered
Explain a proof of the Pythagorean Theorem and its converse.

8.G.B.7

Fully covered
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

8.G.B.8

Fully covered
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

8.G.C

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

8.G.C.9

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