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How are the formulas for the surface area and volume of solids developed?
How are these formulas applied in real-world applications?
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Student Learning Map
- Topic:Surface Area and Volume
- Subject(s):Math
- Days:20
- 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):
Concept: Surface Areas of Prisms-Cylinders-Pyramids-Cones Concept: Volumes of Prisms-Cylinders-Pyramids-Cones Concept: Surface Areas and Volumes of Spheres 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)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)Vocabulary:prism, bases, lateral faces, altitude, height, lateral areas, surface area, right prism, oblique prism, cylinder, right cylinder, oblique cylinder
Concept: Areas and Volumes of Similar Solids Concept: Concept: 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):Lesson Essential Question(s):
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Prentice Hall Geometry Ch.10(10.3-10.8) 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:
