# Q4, W3: April 4-8 Geometry Teacher Kristin Andreason Geometry Honors 8 April 4-8 Unit 7: Three-Dimensional Measures
Standard(s) Taught

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.

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.
• 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.
Classroom Activities

Monday/Tuesday:

• Students will be taking the FSA Writing test on Tuesday
• Monday Geometry students will make up test or finish missing assignments

Wednesday:

• Students will take guided notes on Volume of prisms and cylinders
• I will give them notes on surface area of prisms and cylinders
• Students will do IXL’s T.5 and T.2

Thursday/Friday:

• Students will finish IXL’s T.5 and T.2
• We will do guided notes on Volume of pyramids and cones
• Students will do a worksheet of volume of pyramids and cones
Assignments Due

Assignments due this week:

• IXL’s T.5 and T.2 (this one only to 50%)
• Worksheet on volume of pyramids and cones