1 2 3 4 5 6 Standards Skills Concepts Included in Through a Cognitive Sample Activity Included Standard Particular Context Demand/ in Levels of Standard Thinking D-8.G.7 Apply The Pythagorean In real-world and Apply Have students find a situation on school grounds Apply the Pythagorean Theorem to Theorem to mathematical (poles with guy wires, the building of a ramp, determine unknown side lengths in determine unknown problems in two braces for fence posts, etc.) in which the right triangles in real-world and side lengths in right and three Pythagorean Theorem can be applied to mathematical problems in two and triangles dimensions determine unknown side lengths in three dimensions. in two and three dimensions. Following this, have students solve mathematical problems in which this theorem can be applied to find the unknown side lengths in the figures above. D-8.G.8 Apply The Pythagorean In a coordinate Apply Vicki is laying a tile floor with square tiles at The Apply the Pythagorean Theorem to Theorem to find the system Pythagorean Art Gallery.(show aerial view of find the distance between two distance between floor with squares). She has been told that when points in a coordinate system. two points she replaces the display cases they must be at least 8 ft. apart. If she placed cases A and B as shown (show two points on the floor on a diagonal from each other) are they far enough apart? How far away from each other are the two objects? Or use a map as a coordinate system to show the distance when a short cut is taken diagonally across a square or rectangle.
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity D-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. Apply The Pythagorean Theorem to determine unknown side lengths in right triangles In real-world and mathematical problems in two and three dimensions Apply Have students find a situation on school grounds (poles with guy wires, the building of a ramp, braces for fence posts, etc.) in which the Pythagorean Theorem can be applied to determine unknown side lengths in in two and three dimensions. Following this, have students solve mathematical problems in which this theorem can be applied to find the unknown side lengths in the figures above. D-8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. Apply The Pythagorean Theorem to find the distance between two points In a coordinate system Apply Vicki is laying a tile floor with square tiles at The Pythagorean Art Gallery.(show aerial view of floor with squares). She has been told that when she replaces the display cases they must be at least 8 ft. apart. If she placed cases A and B as shown (show two points on the floor on a diagonal from each other) are they far enough apart? How far away from each other are the two objects? Or use a map as a coordinate system to show the distance when a short cut is taken diagonally across a square or rectangle.
Grade38CoachesMathUnpackingCharts.docx