Access Point #: MA.912.G.6.Su.aArchived Access Point

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Identify the circumference, arc, and diameter of circles in real-world situations.
General Information
Number: MA.912.G.6.Su.a
Category: Supported
Date Adopted or Revised: 09/07
Standard: Circles : Define and understand ideas related to circles (radius, tangent, chord, etc.). Perform constructions, and prove theorems related to circles. Find measures of arcs and angles related to them, as well as measures of circumference and area. Relate geometry to algebra by finding the equation of a circle in the coordinate plane.

Related Benchmarks

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1206300: Informal Geometry
1206310: Geometry
1206320: Geometry Honors
1206315: Geometry for Credit Recovery

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Lesson Plan

Cylinder Volume Lesson Plan:

Using volume in the real world

Type: Lesson Plan

Video/Audio/Animation

MIT BLOSSOMS - The Juice Seller’s Problem:

"This video lesson presents a real world problem that can be solved by using the Pythagorean theorem. The problem faces a juice seller daily. He has equilateral barrels with equal heights and he always tries to empty the juice of two barrels into a third barrel that has a volume equal to the sum of the volumes of the two barrels. This juice seller wants to find a simple way to help him select the right barrel without wasting time, and without any calculations - since he is ignorant of mathematics. The prerequisite for this lesson includes knowledge of the following: the Pythagorean theorem; calculation of a triangle's area knowing the angle between its two sides; cosine rule; calculation of a circle's area; and calculation of the areas and volumes of solids with regular bases. Materials necessary include: equilateral containers of equal heights; sand; and measuring devices. Examples of in-class activities for the breaks between video segments include class discussions, individual calculations and small group problem solving." (from MIT Blossoms' "Pythagoras and the Juice Seller")

Type: Video/Audio/Animation

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