Learning Experience 4: Spheres

TEACHER’S GUIDE

Materials:

For each group of three students:

3 Student Activity Sheets for Learning Experience 4 (Please see PDF)

A box filled with: a cube (eg die), a thin rectangular prism (eg domino), a thick rectangular prism (eg wooden block), a small wood cylinder, a large wood cylinder, a small plastic cylinder, a large plastic cylinder, a washer, a marble, a ping pong ball, a cone, a pyramid, a right scalene triangular prism, a right isosceles triangular prism, an isosceles triangular prism, a plastic cube, a spool, and a pecan.

Vernier Caliper

Calculator

Preparation:

A mini-lesson on diameter, radius, and circumference of a circle may assist students in completing this learning experience. Several questions on the Student Activity Sheet (Please see PDF) provide a checklist for students to mark which scale on the math ruler they are to use. Choose the measurement scales students are to use prior to them completing those questions.

Evaluation Strategy:

Students will use the math ruler in a particular scale to find the accurate measurements of the diameter, radius, and circumference of the spheres provided.

Vocabulary:

sphere

volume

Vernier Caliper

customary

diameter

metric

surface area

circumference

? (pi)

Objective: Students will use the math ruler to find the diameter, radius, and circumference of the spheres and use the formulas to find the surface area of the spheres.

Students are to use the math ruler to find the diameter, radius,

and circumference of the marble and ping-pong ball. Students then use the formula 2?r2 to find the surface area for each sphere. Using the formula 4/3?r3,

students find the volume of the spheres. Students then focus on the ping pong ball. To find the volume of the air inside the ball, we must first subtract the thickness of the plastic from the ball’s diameter. Plastic = .5 mm thickness

We multiply .5 by 2 because we must account for both sides of the ball. If using the centimeter scale, the Diameter = 3.5 – 1 mm = 3.4 Radius = 3.4 + 2 = 1.7 (use this in volume formula) All data is to be recorded in the tables provided on the Student Activity Sheet for Learning Experience 4 in the Intermediate Level Measurement Student Activity Book.(Please see PDF)

To find the volume of the plastic, students would subtract the volume of the ball from the volume of the air.

Ideally, to measure these objects, the Vernier Calipers would provide the most accurate measurement. However, students will not discover this until Learning Experience 7 when Vernier Calipers are used in-depth. The measurements completed in this learning experience will be redone with the Vernier Calipers.

For the accompanying Intermediate Level Measurement Student Activity Book, please refer to the PDF found here. (Please see PDF)

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