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CCSS Geometric Measurement and Dimension G-GMD
Explain volume formulas and use them to solve problems
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, Cavalieri’s principle, and informal limit arguments.
2. (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★
Visualize relationships between two-dimensional and three- dimensional objects
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.
1. Rotation of a Function 360º Around x-axis
2. 2sin(x) Rotated Around x-axis
3. Volume of Cylinder & Cone
4. Volume of Triangular Prism Practice
5. Volume of Prisms with Set Area of Base
6. Volume of a Hexagonal Prism
7. Volume of Prism & Pyramid wt same base & height
8. Circumference of a Circle
9. Area of a circle
10. Weight of a Water Filled Soccer Ball
11. Volume of Cylinders
12. Cavalieri’s Principle & Volume of a Sphere v2
13. C0702Vol_DiskMethodVisual
14. C0702 Volume Disk Method 3D Visual
15. C0702X14aV2
16. C0702X14b
17. C0702X18
18. C0702X28 Volume by Disk Method
19. C0702VolCirBaseXSecEqLatTri1
20. C0702VolCirBaseXSecIsosRtTri1
21. C0702VolCirBaseXSecSemiCir1
22. C0702VolCirBaseXSecSq2
23. Free Hand 2D Rotated About x-Axis CCSS G-GMD 4
24. Cylinder Volume & Total Surface Area Practice
25. Cone Volume & Total Surface Area Practice
26. Sphere Volume & Total Surface Area Practice
27. Cone Volume & Surface Area Scored Practice
28. Cylinder Volume & Surface Area Scored Practice