Q4, W2: April 5-9 Geometry

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.)

MAFS.912.G-GMD.1.3: MODELING STANDARD Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

• 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.
• calculate the volume of a cylinder, pyramid, cone, and sphere and use the volume formulas to solve problems.
• find the volume when one or more dimensions are changed.

Monday/Tuesday:

1. Students will log onto the Zoom session
2. Students will take the Geometry DIA #5

Wednesday:

1. Students will be taking the FSA Writing test today

Thursday:

1. Students will log onto the Zoom session.
2. Students will create notes on Volume of Prisms and do the practice
3. Students will take notes on Volume of Cylinders (cylinder part only) and do the practice
4. Students will do the Let’s Practice Geometry Worksheet problems

Assignments due this week:

• Let’s Practice Geometry Worksheet on Volume of Prisms and Cylinders

All IEP and ESOL accommodations are provided daily.