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Learning Resources LER 7630 manual

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Table of contents for the manual

  • Page 1

    TM LER 7630 ACTIVITY GUIDE A Hands-on Approach to Learning About Area and V olume[...]

  • Page 2

    Large Square Prism Small Rectangular Prism Large Rectangular Prism Hexagonal Prism Large T riangular Prism Small T riangular Prism Square Pyramid T riangular Pyramid Sphere Cone Cylinder Hemisphere V =A x H V = (s x s) x H V = (4.6)(4.6)(4.6) V = 97.3 cm 3 V =A x H V = (1 x w) x H V = (2 x 2) x 4.6 V = 18.4 cm 3 V =A x H V = (1 x w) x H V = (2 x 4.[...]

  • Page 3

    3 Intr oduction The transparent Power Solids™ set includes 12 plastic three-dimensional shapes that allow for hands-on study of volume. Power Solids can be integrated easily with daily math lessons for introducing, teaching, and reviewing math concepts effectively . They allow students to make concrete connections between geometric shapes and the[...]

  • Page 4

    Ask students how they might organize the shapes into categories based on their features. W rite students’ answers on the board. Then, define pyramids and prisms . Hold up an example of a prism and a pyramid for the class. Encourage students to organize the Power Solids again based on this information. Discuss and explain the cylinder , sphere, an[...]

  • Page 5

    5 Intr oducing V olume V olume , or the capacity of an object, is sometimes confused with surface area. At first glance, the formulas appear somewhat similar . A helpful way to compare the concepts is to explain surface area as the amount of room on the outside of a shape, and volume as the amount of space inside a shape. Discuss the value of measu[...]

  • Page 6

    V olume Formulas Prism Finding the volume of a general prism is a matter of multiplying the area of the base times the height of the prism: V olume g eneral prism = A x H Identify the variables: A = Area of the base H = Height of the prism The formula for the area of the base of the prism depends upon the shape of the base. Rectangular Prism V olum[...]

  • Page 7

    Hexagonal Prism V olume hexagonal prism = A x H Identify the variables: A = Area of the hexagonal base H = Height of the prism Explain that the area for a hexagon is calculated as follows: A = w x 3 / 2 s Identify the variables: w = Width of hexagon as shown s = Length of side Cylinder V olume cylinder = A x H = (π r 2 ) x H Pyramid Introduce the [...]

  • Page 8

    T riangular Pyramid V olume t riangular pyramid = 1 / 3 A x H = 1 / 3 (b x h) x H Cone V olume cone = 1 / 3 A x H = 1 / 3 (π r 2 ) x H Sphere V olume sphere = 4 / 3 π r 2 © Learning Resources, Inc., Vernon Hills, IL (U.S.A.) Learning Resources Ltd., King’s L ynn, Norfolk (U.K.) Please retain our address for future reference. Made in China . LR[...]