Understand congruence and similarity using physical models, transparencies, or geometry software.
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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.
Tomb Raider (Transformations)
After years of searching, treasure hunters Li and Sara have found the treasure in Egypt. The crypt door is locked by a strange lock. It appears to be a puzzle. The pieces are stuck to the wall and can come off but can be moved. The tablet on the wall says: completing the square using only rigid transformations will unlock the door. Can you complete the puzzle and open the crypt door?
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.
Tomb Raider (Transformations)
After years of searching, treasure hunters Li and Sara have found the treasure in Egypt. The crypt door is locked by a strange lock. It appears to be a puzzle. The pieces are stuck to the wall and can come off but can be moved. The tablet on the wall says: completing the square using only rigid transformations will unlock the door. Can you complete the puzzle and open the crypt door?
8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Batman (Dilations)
This is a scene from Tim Burton's 1989 Batman. This scene at the end of the movie is the unveiling of the Batsignal. The mayor reads a message from Batman. Please inform the citizens of Gotham that Gotham City has earned a rest from crime. But if the forces of evil should rise again to cast a shadow on the heart of the city, call me. Batman has given the city of Gotham a signal. It is a spotlight with a bat on it, and when it's turned on, a bat will appear in the night sky.
Teachers Pay Teachers | YouTube
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.
Tomb Raider (Transformations)
After years of searching, treasure hunters Li and Sara have found the treasure in Egypt. The crypt door is locked by a strange lock. It appears to be a puzzle. The pieces are stuck to the wall and can come off but can be moved. The tablet on the wall says: completing the square using only rigid transformations will unlock the door. Can you complete the puzzle and open the crypt door?
Teachers Pay Teachers | YouTube
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.
National Treasure
Understand and apply the Pythagorean Theorem.
8.G.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in problems in two and three dimensions
Potter Wand
Die Hard
8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
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 problems.
Silo Homes
Vases
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