Oakland Terrace Math Student Work Grade 5
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Gr. 5 Unit 2 -Circumference and Diameter
What Does This Look Like In:
K 1 2 3 4 5 A B
Ms. Gale's Class discovers the relationship between
the circumference of a circle and its diameter.
Student places string around a hula hoop.
Students first place string around a large circle such as a hula hoop.
String outline of the circumference of the hula hoop
The string makes an outline of the circumference of the object being measured.
Student spreads the string out that shows the length of the circumference.
Students straighten out the string, and then measure it with a yard stick.
Student measures the diameter of the hula hoop
Students then measure the diameter of the hula hoop. The measurements are recorded.
Students measure the circumference of a bucket
Students measure the circumferences and diameters of other round objects.
Students measure the circumference of a bucket using string
Students can measure both the tops and bottoms of objects with differently sized circles.
Students measure the circumference of the seat of a stool using string
It is often easier to turn objects upside down to measure the circumference on the floor.

Students measure the circumference of a bucket using string
Students should measure many different sizes of circles.

Indicators:
3.6.3.2 determine the relationship between the diameter and the circumference of a circle.

3.6.3.3 estimate and
compute the circumference and area of a circle using formulas and other methods.
A table that shows the measurements of the diameter and circumference of different round objects. The class generates a table that shows the measurements of the diameter and circumference of round items found in the classroom. It does not matter that some students measured in inches and some in centimeters because students are generalizing the relationaship between the diameter and the circumference. Many of the measurements are not exact, but using estimating, students can discover that the circumference is about three times greater than the diameter.

The fifth grade indicator states that students should understand that the circumference is about three times greater than the diameter. Students have discovered the approximate relationship between circumference and diameter on their own before they are introduced to the concept of pi.



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