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

Slide 1

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

Volume

Elizabeth Berman Appelbaum

Slide 2

Area and Perimeter 1 Inch Grid, No Formulas

A = sq in P = in

Slide 3

Area and Perimeter with Fractions, 1 Inch Grid

A = sq in P = in

Slide 4

Area and Perimeter with Fractions, 1 Inch Grid, Con.

Do Page 1 of Worksheet

Slide 5

Area and Perimeter with Formulas

• Measure the sides first.

Slide 6

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

Slide 7

Perimeter with FormulaSides are w and d inches

Slide 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.

Slide 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

Slide 10

SurfaceArea of 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.

Slide 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.

Slide 12

Contact Information

Elizabeth Berman Appelbaum, Ph.D.8275 W 116 TerOverland Park KS 66210Telephone 913.339.9407E-mail eappelbaum70@gmail.comI do private tutoring of mathematics, all levels.Materials will be posted athttp://katm.org/wp/common-core/