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, Cavalieri’s principle, and informal limit arguments.)
|Learning Targets and Learning Criteria|
- identify the base for prisms, cylinders, pyramids, and cones.
- calculate the area of the base (B) for prisms, cylinders, pyramids, and cones.
- calculate the volume of a prism using the formula V = Bh and the volume of a cylinder V = πr2h, where B is the area of the base and h is height of the solid.
- defend the statement, “The formula for the volume of a cylinder (or cone) is basically the same as the formula for the volume of a prism (or pyramid).”
- explain that the volume of a pyramid (or cone) is 1/3 the volume of a prism (or cylinder) with the same base area and height. (Demonstrate rule for students, for example with liquids or bird seed.)
- use Cavalieri’s Principle to demonstrate that a right prism (or cylinder) and a slanted prism (or cylinder) have the same volume when the base areas and heights are the same.
- Students will do three rotations.
- In rotation one, students will do a worksheet on Arc Length and Sector Area.
- In rotation two, students will copy notes on Volume of Prisms and Cylinders and complete a packet of practice problems.
- In rotation three, students will do copy notes on Volume of Pyramids and Cones and do two short worksheets.
- Students will complete all assignments they started on Monday/Tuesday.
- Pi Day! Second period students will do rotations calculating Pi, solving a pizza problem, doing a word search related to Pi, and eating Pie!
- Arc Length and Sector Area worksheet due by March 13.
- Volume of Prisms and Cylinders packet due by March 13.
- Volume of Pyramids and Cones due by March 13.
All IEP and ESOL accommodations will be provided daily.