7.GM.3.1 Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is π and can be approximated by rational numbers such as 22/7 and 3.14.
In a Nutshell
Know that when the diameter of a circle is multiplied by pi the product is the circumference of the circle. Know that when the circumference of a circle is divided by pi or the diameter of the circle then the quotient is the other (diameter or pi). Acceptable rounded values of pi are 22/7 and 3.14.
Student Actions
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Teacher Actions
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Develop the ability to make predictions, conjectures and draw conclusions when discovering the relationship between diameter and circumference through measurement.
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Develop strategies for problem solving when given one measurement of a circle to find the other. Example : If given the diameter, find the circumference. If given the circumference, find the diameter.
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Provide the opportunity to use and connect mathematical representations through measuring diameters and circumferences of circles and making meaningful comparisons.
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Implement tasks that promote reasoning about the relationship between the proportional relationship between the diameter and the circumference of a circle.
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Use and connect mathematical representations by engaging students in meaningful tasks by creating relationships between the radius, diameter and circumference.
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Key Understandings
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Misconceptions
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OKMath Framework Introduction
7th Grade Introduction
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