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PrintTeacher  Felicia Taylor 

Subject Area  Geometry Honors 

Grade Level  8th 

Week #  29 

Unit of Instruction  8: ThreeDimensional Measurement 

Standard(s) Taught 

MAFS.912.GGMD.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.GGMD.1.3
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
MAFS.912.GMG.1.1
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

Learning Targets and Learning Criteria 

I can…
 Volumes:
• 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.
 describe real world objects using geometric figures.
 use measures of geometric shapes to find volume, surface area and lateral area of realworld objects.
 apply the properties of geometric figures to solve realworld problems.
 decompose a figure in smaller parts to describe the properties of the object.

Classroom Activities 

Monday (2nd Period) / Tuesday (7th & 8th Periods)
 Instruction – Nearpod
 Volumes of Prisms and Cylinders
 Exit Ticket – Quizlet Live
 Volumes of Prisms and Cylinders
Wednesday (All Classes – 40 minute class – Early Release Day)
 Bellringer – kahoot!
 Volumes of Prisms and Cylinders
 Instruction – Nearpod
 Surface Areas of Prisms and Cylinders
 Exit Ticket – Quizlet Live
 Surface Areas of Prisms and Cylinders
Thursday (2nd Period) / Friday (7th & 8th Periods)
 Bellringer – kahoot!
 Surface Areas of Prisms and Cylinders
 Instruction – Nearpod
 Volumes of Pyramids and Cones
 Exit Ticket – Quizlet Live
 Volumes of Pyramids and Cones

Assignments Due 

Summatives
None
Formatives
 Volume of Prisms and Cylinders – Geometry Nation Independent Practice – due Wednesday, March 28th
 Surface Area of Prisms and Cylinders – Geometry Nation Independent Practice – due Thursday, March 29th (2nd Period) / due Friday, March 30th (7th & 8th Periods)

Additional Resources 

Please watch the videos on Geometry Nation for additional help:
 Section 14, Topic 1: Geometry Nets and ThreeDimensional Figures
 Section 14, Topic 2: Cavalieri’s Principle for Area
 Section 14, Topic 3: Cavalieri’s Principle for Volume
 Section 14, Topic 4: Volume of Prisms and Cylinders
 Section 14, Topic 5: Surface Area of Prisms and Cylinders
 Section 14, Topic 6: Volume of Pyramids and Cones
You can also review class notes on Nearpod:
 Geometry Nets and ThreeDimensional Figures – Nearpod Code: BLFXE
 Cavalieri’s Principle for Area and Volume – Nearpod Code: ATQHE
 Volume of Prisms and Cylinders – Nearpod Code: EYUMR
 Surface Area of Prisms and Cylinders – Nearpod Code: PZWSN
 Volume of Pyramids and Cones – Nearpod Code: JZMKY
