3-26-13 Getting in Shape with 8th Grade Geometry

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 8: GEOMETRY

Grade 8 Geometry
Understand congruence and similarity using physical models, transparencies, or geometry software.		RESOURCES
8.G.1.	Verify experimentally the properties of rotations, reflections, and translations: ·         Lines are taken to lines, and line segments to line segments of the same length. ·         Angles are taken to angles of the same measure. ·         Parallel lines are taken to parallel lines.	Turning Man Symmetry Notes on a Triangle Rotational Symmetry Alphabet Geometry Isometry Transformations Saxson Math Explanatory Interactive Transformations and Symmetry Beacon Practice
8.G.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.	Sorting Symmetry Congruent Figures Math is Fun: Congruent
8.G.3.	Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.	Math Movements Lesson Practice Transformations Wrapping Paper Patterns Transformations in the Coordinate Plane Lessons and Practice
8.G.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.	Dilation Worksheets Dilation, Scale Factors, and Similar Figures Similar Transformations and Similarity Unit
8.G.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.	Transversals Parallel Lines Cut by Transversals Proofs with Angles and Transversals Parallel Lines and Transversals Interior and Exterior Angles and Sides
Understand and apply the Pythagorean Theorem.
8.G.6.	Explain a proof of the Pythagorean Theorem and its converse.	Pythagorean Theorem Proofs Khan Academy: Garfield's Proof  Graphical Proof
8.G.7.	Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.	Baseball Problem Math is Fun: Pythagoras  Pythagorean Theorum Game Interactivate: Pythagorean Theorum
8.G.8	Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.	The Math Page: Distance Formula Math Warehouse: Distance Formula Distance Formula Animations
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
8.G.9.	Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.	Get a Shape's Volume Cylinders, Cones, and Spheres Volume Formulas Volumes of Cones, Cylinders, and Spheres