Quarter 4, Week 3: April 2nd – 6th

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TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #30
Unit of InstructionUnit 8: 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-GMD.1.2

Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

Learning Targets and Learning Criteria

I can…

  • identify the base for prisms, cylinders, pyramids, and cones.
  • calculate the area of the base (B) for prisms, cylinders, pyramids, and cones.
  • defend the statement, “The formula for the volume of a cylinder (or cone) is basically the same as the formula 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.
  • calculate the volume of a cylinder, pyramid, cone, and sphere and use the volume formuals to solve problems.
  • find the volume when one or more dimensions are changed.
  • use the Pythagorean Theorem and formula for the area of a circle to find the cross-sectional area of each level of a hemisphere as a function of the radius; to find the cross-sectional area of each level of a right cone when the height and radius are equal.
  • use Cavalieri’s Principle, a hemisphere, a right cone, and a right cylinder to derive the formula for the area of a sphere.
Classroom Activities

Monday (2nd Period) / Tuesday (7th & 8th Periods)

  • Instruction – Volumes of Pyramids and Cones
    • kahoot!
    • Nearpod – see Code: QUNOV
  • Classwork/Practice
    • Quizlet Live
  • Homework Exemption/Exit Ticket
    • Nearpod – see Code: KWBLS
  • Classwork/Practice
    • kahoot!
  • Test Question Exemption/Bellringer
    • Nearpod – see Code: XSJLG

Wednesday (Early Release Day – All classes – 40 minute class)

  • Instruction – Surface Areas of Pyramids and Cones
    • kahoot!
    • Nearpod – see Code: RGDQW
  • Classwork/Practice
    • Quizlet Live!

Thursday (2nd Period) / Friday (7th & 8th Periods)

  • Review – Surface Areas of Pyramids and Cones
    • kahoot! – Geometry:  Surface Areas of Pyramids and Cones
  • Homework Exemption/ Exit Ticket
    • Nearpod – See Code: NTLCK
  • Practice/ Classwork
    • kahoot! – Geometry:  Surface Areas of Pyramids and Cones – Bellringer
  • Test Question Exemption/ Bellringer
    • Done on paper.  Will hand out in class.
  • Instruction – Surface Area and Volumes of Spheres
    • kahoot!
    • Nearpod – See Code: SZMLD
  • Classwork/ Practice
    • Quizlet Live!
  • Homework Exemption/ Exit Ticket
    • Nearpod – See Code: BCJMZ

 

Assignments Due

Summatives

Take Home Test is due next week on Wednesday, April 11th.

Formatives

  1. Geometry Nation Independent Practice -Volume of Prisms and Cylinders – due Monday, April 2nd (2nd Period) / due Tuesday, April 3rd (7th & 8th Periods)
  2. Geometry Nation Independent Practice – Surface Area of Prisms and Cylinders – due Wednesday, April 4th (all classes)
  3. Geometry Nation Independent Practice – Volume of Pyramids and Cones – due Thursday, April 5th (2nd Period) / due Friday, April 6th (7th & 8th Periods)
Additional Resources

Geometry Nation

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
  7. Section 14, Topic 7:  Surface Areas of Pyramids and Cones
  8. Section 14, Topic 8:  Spheres

Nearpod

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: QUNOV
  6. Surface Area of Pyramids and Cones – Nearpod Code: RGDQW
  7. Surface Area and Volume of Spheres – Nearpod Code: SZMLD

Khan Academy

https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/a/volume-formulas-review

https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa

Quizlet

To practice on your own the study sets that we use, log into www.quizlet.com and use your class code:

  1. 2nd Period: https://quizlet.com/join/SFK4d2ykF
  2. 7th Period:  https://quizlet.com/join/4BCc8kUXt
  3. 8th Period:  https://quizlet.com/join/mqEJQXrBn