120 likes | 200 Views
Engage students in hands-on learning activities to understand and apply concepts of area, perimeter, and volume with fractions and formulas. Encourage group work and playacting to enhance comprehension and application. Contact Dr. Elizabeth Berman Appelbaum for private math tutoring.
E N D
Measure Up with Common Core: Hands-on Perimeter, Area, and Volume Elizabeth Berman Appelbaum
Area and Perimeter 1 Inch Grid, No Formulas A = sqin P = in
Area and Perimeter with Fractions, 1 Inch Grid A = sq in P = in
Area and Perimeter with Fractions, 1 Inch Grid, Con. Do Page 1 of Worksheet
Area and Perimeter with Formulas • Measure the sides first.
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.
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
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.
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.
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/