# Quarter 4, Week 3: April 2nd – 6th

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Teacher Felicia Taylor Geometry Honors 8th 30 Unit 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)

Geometry Nation

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