Geometry, Teacher\'s Edition

(Axel Boer) #1

  • Then you will need to figure out the surface area of each of the boxes.

  • Write each surface area on an index card.

  • You will need as many boxes as you have students in one class.

  • Then you bring all of the boxes to the classroom.

  • To complete the activity, each of the students is given a ruler/tape measure and an index card with a surface
    area on it.

  • Students will need to take notes as they work- remind them to do this.

  • Also encourage students to think of strategies before beginning the task.

  • Does a large box have a large surface area or a small surface area?

  • Then the students need to figure out which box has their correct surface area.

  • This will take some time.

  • Don’t rush the students, but encourage them to work together.

  • Once they have found their box, the students need to create a diagram of it.

  • Label the surface area and find the volume of the prism.

  • Allow time for the students to share their work when finished.


III.MeetingObjectives



  • Students will find the surface area of a prism.

  • Students will find the volume of a prism.

  • Students will show their work in a diagram.


IV.NotesonAssessment



  • Did the students match up the correct prism with their measurements?

  • Is the diagram labeled accurately?

  • Is the volume of the prism correct?

  • Offer correction/feedback when necessary.


Cylinders


I.SectionObjectives



  • Find the surface area of cylinders.

  • Find the volume of cylinders.

  • Find the volume of composite three- dimensional figures.


II.ProblemSolvingActivity-CylinderSizing



  • For this activity, the students are going to need a variety of different size cylinders to work with.

  • This activity is going to combine our work with cylinders and scale factor together.

  • Students can work in groups.

  • Each group selects a cylinder to work with.

  • First, the students need to figure out the surface area and volume of that cylinder.

  • Next, the students are going to create a cylinder that is three times as large as the one that they have in their
    hands.

  • Students will need large pieces of paper, scissors, rulers, string, tape or glue.

  • The students will have to figure out the dimensions of the new cylinder.

  • They will need to figure the surface area and the volume of the new cylinder as well.


5.11. Surface Area and Volume

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