綱要
Geometric Measurement and Dimension (GMD) Cluster
MAFS.912.G-GMD.1.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieris principle, and informal limit arguments.
MAFS.912.G-GMD.1.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
MAFS.912.G-GMD.2.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
目錄
MAFS.912.G-GMD.1.1
- TRUE MEANING of π
- Circumference = ? (Animation)
- Animation 66
- Circumference = ? (Animation II)
- Animation 70
- Animation 65
- Parallelogram: Area
- Animation 202
- Triangle Area Action! (V1)
- Triangle Area Action!!! (V2)
- Animation 175
- Circle Area (by Peeling)
- Circle Area (By Peeling!)
- Area of a Circle - without words (Animation 38)
- Area of a Circle (III)
- Area of a Circle (by Peeling)
- Area of a Circle II
- Volume of a Rectangular Prism
- Figure 6.7 Cavalieri's principle
- Cavalieri's Principle (祖暅原理)
- Mailbox? Backpack? (Composite Solid)
- Washer Action!!! (1)
- Animation 169
- Trisecting the Cube into 3 Pyramids
- Volume of Pyramids
- Volume of Pyramids - Chinese Proof
- SolveMyMaths Action 3A!
- SolveMyMaths Action 3B!
- Animation 203
- SolveMyMaths Action 4!
- Animation 204
- 4 Triangles Action!!!
- Animation 179
MAFS.912.G-GMD.1.3
- Unwrapping a Cylinder
- Unwrapping a Cylinder: REVAMPED!
- Volume of Spheres
- Volume of Spheres with Proof
- A sphere in a cylinder.
- Surface Area of Spheres
- Volumes and Surface Areas of Similar Cuboids
- Square Pyramid: Underlying Anatomy
- oblique and right pyramid - Cavalieri
- Right Triangular Prism!
- Adjustable Triangular Prism
- Sphere Peeling: Volume
- Net of a Cone
- Curved Surface Area of Cones (Combined Version)
MAFS.912.G-GMD.2.4
- Sections of Rectangular Prisms (Cuboids)
- Sections of Triangular Prisms
- Sections of Cylinders
- Sections of Rectangular Pyramids
- Sections of Triangular Pyramids
- Sections of Cones
- Sections of Spheres
- Exploring Sections of Cubes
- 11 Nets of the Cube
- Cube Geometry: Shortest Path Between Points - A Net
- Cube Dissection Problem
- Rotating a Triangle Around a Coordinate Axis
- Box with Open Top
- Cross Section? (1)