Cross-Sections and Solids of Revolutions

laverd, Mr. Antill, Mar 10, 2021

Intuitive approach to cross-sections and solids/surfaces of revolution.

Table of Contents

  1. Introduction
    1. Essential Questions
    2. Relevant Vocabulary
  2. Cross Sections
    1. Pre-Assessment
    2. 1) Cross-Section(s) of Rectangular Prisms (Cuboids)
    3. 2) Cross-Section(s) of Cones
    4. 3) Cross-Section(s) of Spheres
  3. Solids of Revolution
    1. 4) Rotate a Triangle
    2. 5) Rotate a Rectangle
    3. 6) Rotate a Circle
    4. 7) Solid of Revolution - Parabolas
    5. 8) Washer Method
  4. Homework
    1. Exit Ticket and Homework

1.

Introduction

  • 1. Essential Questions
  • 2. Relevant Vocabulary

1.1.

Essential Questions

Directions
Please take a moment to consider and answer the following questions. There are no right or wrong answers, so just answer them to the best of your ability. We will revisit these questions again at the conclusion of the lesson. Once you have finished answering the questions, please wait to move on.
Question #1:
How have the concepts of volume and surface area shaped the physical world as you know it today?
Question #2:
If the Earth were flat, could it still be a sphere? Justify your answer.[br]
Question #3:
Where else in your life do you see different perspectives and how are you impacted by them?
– Mr. Antill

1.2.

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2.

Cross Sections

  • 1. Pre-Assessment
  • 2. 1) Cross-Section(s) of Rectangular Prisms (Cuboids)
  • 3. 2) Cross-Section(s) of Cones
  • 4. 3) Cross-Section(s) of Spheres

2.1.

Pre-Assessment

A cross-section is ______________________.
Which of the following would NOT be a cross-section.
– Mr. Antill

2.2.

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2.3.

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2.4.

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3.

Solids of Revolution

  • 1. 4) Rotate a Triangle
  • 2. 5) Rotate a Rectangle
  • 3. 6) Rotate a Circle
  • 4. 7) Solid of Revolution - Parabolas
  • 5. 8) Washer Method

3.1.

4) Rotate a Triangle

– Mr. Antill, sobarrera

3.2.

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3.3.

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3.4.

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3.5.

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4.

Homework

  • 1. Exit Ticket and Homework

4.1.

Exit Ticket and Homework

Instructions:
When you have completed each activity, follow the link below to the exit ticket. Then begin working on the homework. [br][br]Link: [url=https://docs.google.com/forms/d/e/1FAIpQLSf8dek32VL8uM7CLbJlrx_o5TbmG2zaVYhSbSZD3PjebVQSwg/viewform?usp=pp_url][color=#0000ff]Exit Ticket[/color][/url]
– Mr. Antill

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