Student Learning Map

  • Topic:Surface Area and Volume
  • Subject(s):Math
  • Days:25
  • Grade(s):9, 10, 11, 12
Key Learning: The formulas used to determine surface area and volume of solids are determined by their properties. The formulas are applied extensively in real-world applications.
Unit Essential Question(s):
 
 
How are the formulas for the surface area and volume of solids developed? How are these formulas applied in real-world applications?
   
Concept: Space Figures and Nets
Concept:

Surface Areas of Prisms, Cylinders, Pyramids, and Cones

Concept:

Volumes of Prisms, Cylinders, Pyramids, and Cones

Lesson Essential Question(s):

How does Euler\'s Formula relate faces, edges, and vertices?

(A)

Lesson Essential Question(s):

How is area related to surface area? (A)

How are the surface area formulas developed? (ET)

How are surface area formulas used to solve real-world applications? (ET)

Lesson Essential Question(s):

How is volume related to the size of an object? (A)

How are the surface area formulas developed? (ET)

How do you calculate volume of three-dimensional solids? (ET)

How are volume formulas used to solve real-world applications? (ET)

Concept: Surface Areas and Volumes of Spheres
Concept: Areas and Volumes of Similar Solids
Concept: ___OBJECTIVES___6___
Lesson Essential Question(s):

How do you calculate surface area of a sphere? (A)

How is volume related to the size of an object? (A)

How do you calculate the volume of a sphere? (A)

How is volume related to the size of an object? (ET)

How are surface area and volume formulas for a sphere used to solve real-world applications? (ET)

Lesson Essential Question(s):

What relationships exists between corresponding sides and the volumes of similar solids? (A)

How do you calculate volume of three-dimensional solids? (A)

How are these relationships applied when solving real-world situations? (A)

How are these relationships applied when solving real-world situations? (ET)

Lesson Essential Question(s):
Additional Info:

Ask an experienced coworker for additional reference texts and/or other materials.

Prentice Hall Geometry Ch.10.1-10.8

Text Ancillary Materials

Scientific Calculator, Protractor, Graph Paper

FCAT Explorer

Mission FCAT

Polk County FCAT Item Test Bank

www.PHSchool.com

Kaplan Lesson Plans

Resources:

Vocabulary Report

  • prism -
  • similar solids -
  • sphere -
  • volume -
  • bases -
  • center -
  • composite space figure -
  • polyhedron -
  • similar ratio -
  • lateral faces -
  • readius -
  • face -
  • altitude -
  • edge -
  • diameter -
  • circumference of a sphere -
  • vertex -
  • height -
  • net -
  • great circle -
  • lateral areas -
  • surface area -
  • Euler's Formula -
  • hemisphere -
  • right prism -
  • oblique prism -
  • cylinder -
  • right cylinder -
  • oblique cylinder -