Quarter 4, Week 2: March 26th – 30th

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TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #29
Unit of Instruction8: Three-Dimensional Measurement
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

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

MAFS.912.G-MG.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 real-world objects.
  • apply the properties of geometric figures to solve real-world 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

  1. Volume of Prisms and Cylinders – Geometry Nation Independent Practice – due Wednesday, March 28th
  2. 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:

  1. Section 14, Topic 1:  Geometry Nets and Three-Dimensional Figures
  2. Section 14, Topic 2:  Cavalieri’s Principle for Area
  3. Section 14, Topic 3:  Cavalieri’s Principle for Volume
  4. Section 14, Topic 4:  Volume of Prisms and Cylinders
  5. Section 14, Topic 5:  Surface Area of Prisms and Cylinders
  6. Section 14, Topic 6:  Volume of Pyramids and Cones

You can also review class notes on Nearpod:

  1. Geometry Nets and Three-Dimensional Figures – Nearpod Code:  BLFXE
  2. Cavalieri’s Principle for Area and Volume – Nearpod Code: ATQHE
  3. Volume of Prisms and Cylinders – Nearpod Code: EYUMR
  4. Surface Area of Prisms and Cylinders – Nearpod Code: PZWSN
  5. Volume of Pyramids and Cones – Nearpod Code: JZMKY