Florida B.E.S.T. MA.7.GR.2.1
The Standard
Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure’s net.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break a cylinder net into one rectangle and two circles. They find each part’s area, then add the areas and report the result in square units.
What Mastery Looks Like
- A student labels the two circles and rectangle in a cylinder net correctly. The student connects the rectangle’s length to the circle’s circumference and adds all three areas with square units.
Common Misconceptions
- Students may use the diameter as the radius or confuse a circle’s area with its circumference. They may count only one circular base or treat the rectangle’s length as the cylinder’s height. Some forget to square the radius when finding each base area.
How to Assess It
- Exit ticket: A cylinder has a radius of 3 cm and a height of 8 cm. Sketch and label its net, then find the total area using 3.14 for pi.
Lesson moves
Ways to Teach It
Cut and wrap a paper rectangle around a can, trace two circular bases, then label dimensions and calculate the total area.
Explain why the rectangle’s length equals the circle’s circumference and how that fact helps calculate the net’s area.
Match cylinder cards with net cards, then calculate each total area to confirm every match.
Calculate the metal needed for the side, top, and bottom of a soup can with given dimensions.
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Printable MA.7.GR.2.1 Worksheet
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Related Standards
- MA.7.GR.2.2
Solve real-world problems involving surface area of right circular cylinders.
- MA.6.GR.2.4
Given a mathematical or real-world context, find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net.
- MA.912.GR.4.6
Solve mathematical and real-world problems involving the surface area of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.
- MA.7.GR.2.3
Solve mathematical and real-world problems involving volume of right circular cylinders.
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