Unit 8
Pythagorean Theorem, Distance & Volume
Right triangles, distance on the coordinate plane, and volume of cylinders, cones, and spheres.
Essential question: How does the relationship among three lengths unlock distance and space?
Pythagorean Theorem and Distance
Grade 8 State TestIn a right triangle, a² + b² = c², where c is the hypotenuse. Distance on the plane is the hypotenuse of a slope triangle.
NY-8.G.6 · NY-8.G.7 · NY-8.G.8
Volume of Cylinders, Cones, and Spheres
Grade 8 State TestA cone is one-third of a cylinder with the same base and height. A sphere uses the cube of the radius.
NY-8.G.9