Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Find the surface area of cylinders.

  • Find the volume of cylinders.

  • Find the volume of composite three- dimensional figures.


II.MultipleIntelligences



  • To differentiate this lesson, you can make it very hands- on by using some different cylinders. Example-
    Quaker Oats containers, soda cans, etc.

  • Teach the material in the lesson.

  • Then have the students work to find the surface area and volume of each cylinder.

  • The students will need string to determine circumference, rulers, colored pencils and paper.

  • Have students draw a net for their cylinder and label all of the measurements involved.

  • Then they complete their work.

  • Provide time for students to share their work in small groups.


III.SpecialNeeds/Modifications



  • Review finding the area and circumference of a circle.

  • Define cylinders.

  • Show students the difference between right cylinders and oblique cylinders.

  • Write out the formulas for surface area and volume of cylinders.

  • Steps to Working with Composite Solids



    1. Break each composite solid into its smaller solid parts.





    1. Select the correct formula for either surface area or volume based on the problem.





    1. Find the surface area or volume of each smaller solid.





    1. Add/subtract the results of the surface area or volume based on the question.




IV.AlternativeAssessment



  • Observe students as they work in small groups.

  • Have the students share their work from the cylinder activity when finished.

  • Check student work for accuracy.

  • Provide assistance and feedback when necessary.


Pyramids


I.SectionObjectives



  • Identify pyramids.

  • Find the surface area of a pyramid using a net or formula.

  • Find the volume of a pyramid.


II.MultipleIntelligences



  • Differentiate this lesson by having students complete the following activities.

  • Students are going to be working with a pyramid of their choosing.

  • Begin by dividing students into groups. While the students will be working with different pyramids, they will
    have the support of the other students in the group as they work.

  • Each student is to choose a type of pyramid: triangular, square, pentagonal, hexagonal, etc.


4.11. Surface Area and Volume

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