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Measure Up with Common Core: Hands-on Perimeter, Area, and Volume

Measure Up with Common Core: Hands-on Perimeter, Area, and Volume. Elizabeth Berman Appelbaum. Area and Perimeter 1 Inch Grid, No Formulas. A = sq in P = in. Area and Perimeter with Fractions, 1 Inch Grid. A = sq in P = in.

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Measure Up with Common Core: Hands-on Perimeter, Area, and Volume

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  1. Measure Up with Common Core: Hands-on Perimeter, Area, and Volume Elizabeth Berman Appelbaum

  2. Area and Perimeter 1 Inch Grid, No Formulas A = sqin P = in

  3. Area and Perimeter with Fractions, 1 Inch Grid A = sq in P = in

  4. Area and Perimeter with Fractions, 1 Inch Grid, Con. Do Page 1 of Worksheet

  5. Area and Perimeter with Formulas • Measure the sides first.

  6. Area with Formula, Con.Sides are w and d inches

  7. Perimeter with FormulaSides are w and dinches

  8. Mixed Numbers are Better than Improper Fractions • Do not use improper fractions when • multiplying a mixed number and a whole number • Adding a set of mixed numbers • Adding a set of mixed numbers and whole numbers • Reasons: efficiency and usefulness. • Do page 2 of worksheet. • I will pass out rulers.

  9. Volume of a Rectangular Prism • Students must handle actual cubes • First, find volume and lateral (side) area without formulas • Then use formulas. • Furniture and appliances are commonly described with width, depth, and height. So I use w, d, and h. The formula for volume is

  10. SurfaceAreaof a Prism • This formula applies to right prisms (top and bottom aligned) and right cylinders, with height h. • First find the perimeter P of the base. • Then use this formula for lateral area. • Fold paper to motivate the formula. • Best way to measure walls for paint or wallpaper. • To find total surface area, find lateral area first. Then find top area, double it, and add that number to lateral area. • Do page 3 of worksheet.

  11. Playacting • Work in groups of 2 or 3. • Each group makes up a show about area, perimeter, volume, lateral area, or total surface area. • Give your show to another group. • Then watch their show.

  12. Contact Information Elizabeth Berman Appelbaum, Ph.D. 8275 W 116 Ter Overland Park KS 66210 Telephone 913.339.9407 E-mail eappelbaum70@gmail.com I do private tutoring of mathematics, all levels. Materials will be posted at http://katm.org/wp/common-core/

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