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PrintTeacher  Felicia Taylor 

Subject Area  Geometry Honors 

Grade Level  8th 

Week #  28 

Unit of Instruction  8: ThreeDimensional Measurements 

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.GGMD.2.4
Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects.

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.
 identify the shapes of the twodimensional crosssections of threedimensional objects.
 rotate a twodimensional figure and identify the threedimensional object that is formed.

Classroom Activities 

Monday (2nd Period) / Tuesday (7th & 8th Periods)
 Go over Unit 8: ThreeDimensional Measurements expectations, due dates, etc.
 Instruction: Geometry Nets & ThreeDimensional Figures
 Quizlet Live – Geometry Nets & ThreeDimensional Figures Exit Ticket
Wednesday (All Classes – Early Release Day – 40 minute class)
 kahoot! – Geometry Nets & ThreeDimensional Figures Bellringer
 Distribute Unit 8 Take Home Tests – Due in 3 weeks on Wednesday, April 11th
 Instruction: Cavalieri’s Principle for Area and Volumes
Thursday (2nd Period) / Friday (7th & 8th Periods)
 Continue Instruction: Cavalieri’s Principle for Area and Volumes
 Quizlet Live – Cavalieri’s Principle for Area and Volumes Exit Ticket
 Instruction: Volume of Prisms and Cylinders
 Quizlet Live – Volume of Prisms and Cylinders

Assignments Due 

Summatives
None
Formatives
 Geometry Nets & ThreeDimensional Figures Exit Ticket – due Monday, March 19th (2nd Period) / due Tuesday, March 20th (7th & 8th Periods)
 Geometry Nets & ThreeDimensional Figures Bellringer – due Wednesday, March 21st
 Cavalieri’s Principle for Area and Volumes Exit Ticket – due Thursday, March 22nd (2nd Period) / due Friday, March 23rd (7th & 8th Periods)
 Volume of Prisms and Cylinders Exit Ticket – due Thursday, March 22nd (2nd Period) / due Friday, March 23rd (7th & 8th Periods)

Additional Resources 

Nearpod:
 Geometry Nets and ThreeDimensional Figures Notes – Nearpod Code: BLFXE
 Cavalieri’s Principle of Area and Volume Notes – Nearpod Code: ATQHE
 Volume of Prisms and Cylinders Notes – Nearpod Code: EYUMR
Geometry Nation Videos:
 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
