Big or Small: Measure It All
Western Reserve Public Media
 
 

Ohio Virtual Tour: Farmland
New McDonald’s Farm — Storing the Corn

 

Overview
The first lesson dealt with growing the corn. Now we have to store it. The purpose of this lesson is to find out how much corn will fit in a silo. Students need to find the volume of the corn grown and then the volume of the silo to make their determination.

 

Outcome
Students will understand how to calculate surface area and volume.

 

Standards Address — Mathematics

Grade 4
Measurement Units, Benchmark A

03. Identify and select appropriate unites to measure the following:

perimeter — string or links (inches or centimeters)
area — tiles (square inches or square centimeters)
volume — cubes (cubic inches or cubic centimeters)

Grade 5
Measurement Units, Benchmark G

03. Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.

Grade 6
Measurement Units, Benchmark F

01. Understand and describe the difference between surface area and volume.

Measurement Units, Benchmark G
01. Understand and describe the difference between surface area and volume.

Use Measurement Techniques and Tools, Benchmark C
02. Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of sectors.

Grade 7
Use Measurement Techniques and Tools, Benchmark E

05. Analyze problem situations involving measurement concepts, select appropriate strategies and use an organized approach to solve narrative and increasingly complex problems.

Grade 8
Use Measurement Techniques and Tools, Benchmark B

4. Derive formulas for surface area and volume and justify them using geometric models and common materials. For example, find the following:
the surface area of a cylinder as a function of its height and radius
that the volume of a pyramid (or cone) is one-third of the volume of a prism (or cylinder) with the same base area and height

 

Materials

 

Procedure

  1. Divide the students into groups of two or three.

  2. Review the following concepts:

  3. a. The volume of a cylinder is π x height x radius x radius. (The radius is 1⁄2 of the diameter.)

    b. The volume of a cone is 1⁄3 height x π x radius x radius or

    c. There are 12 inches in a foot. It is easier to do the conversion at the beginning of the lesson than to convert from cubic feet to cubic inches.

  4. Have each group of students compute the calculations on the handout. This is a difficult assignment, so you might want to review the concepts again.

  5. Enhancement: You could bring in your own corn for measurement. This gives one additional hands-on activity, but you would then have to check the calculations yourself or give the papers to another group to check.

 

Student Handout Answers

View the New McDonald’s Farm — Storing the Corn answer sheet.

 

Evaluation

Cubic inches of corn produced 15
Conversions from feet to inches 5
Volume of the cylinder 5
Volume of the top cone 5
Total volume of the silo 5
Correct number of silos 5
Total 40 pts.

 

 

 

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