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Describe why the formulas work for a circle or cylinder (circumference of a circle, area of a circle, volume of a cylinder) based on a dissection.
Clarifications:
Essential Understandings
Concrete:
- Find the circumference and areas of a circle and volume of a cylinder using manipulatives.
- Create a ratio between the circumference and the diameter of a circle to determine the relationship using manipulatives.
- Create a ratio between the area and the diameter of a circle to determine the relationship using manipulatives.
- Describe the relationship between the dimensions of the figures.
- Describe the relationship between the components of the formula (e.g., how to get the area, volume or circumference).
General Information
Number: MAFS.912.G-GMD.1.AP.1a
Category: Access Points
Date Adopted or Revised:
07/14
Cluster:
Explain volume formulas and use them to solve problems. (Geometry - Additional Cluster) :
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
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