Grade 8 Math: Geometry |
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CCSS.MATH.CONTENT.8.G.A.1 - Verify experimentally the properties of rotations, reflections, and translations: |
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CCSS.MATH.CONTENT.8.G.A.1.A - Lines are taken to lines, and line segments to line segments of the same length. |
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CCSS.MATH.CONTENT.8.G.A.1.B - Angles are taken to angles of the same measure. |
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CCSS.MATH.CONTENT.8.G.A.1.C - Parallel lines are taken to parallel lines. |
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CCSS.MATH.CONTENT.8.G.A.2 - 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. |
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CCSS.MATH.CONTENT.8.G.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. |
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CCSS.MATH.CONTENT.8.G.A.4 - 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. |
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CCSS.MATH.CONTENT.8.G.A.5 - 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. |
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CCSS.MATH.CONTENT.8.G.B.6 - Explain a proof of the Pythagorean Theorem and its converse. |
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CCSS.MATH.CONTENT.8.G.B.7 - Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. |
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CCSS.MATH.CONTENT.8.G.B.8 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. |
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CCSS.MATH.CONTENT.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. |
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