Florida B.E.S.T. MA.7.GR.2.3

Math7th GradeSolve problems involving three-dimensional figures, including right circular cylinders.

The Standard

Solve mathematical and real-world problems involving volume of right circular cylinders.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students find the volume of a right circular cylinder using its radius and height. They solve diagram-based and real-world problems, using π and cubic units correctly.
What Mastery Looks Like: Students identify the radius and perpendicular height from a diagram or description. They calculate accurately with π, round as directed, and label answers with cubic units.
Common Misconceptions: Students often use the diameter as the radius or forget to square the radius. They may multiply by the circumference instead of the circle’s area, or use square units instead of cubic units.
How to Assess It: Exit ticket: A cylindrical bottle has a diameter of 8 cm and a height of 20 cm. Find its volume in terms of π and to the nearest cubic centimeter, showing your setup.

Lesson moves

Measure the radius and height of three cans, calculate each volume, then check the size ranking by filling them with rice.
Ask students to explain why doubling a cylinder’s radius multiplies its volume by four, while doubling its height multiplies volume by two.
Run a card sort matching cylinder diagrams, dimensions, volume expressions, and calculated volumes.
Compare two cylindrical drink containers and decide which holds more, then calculate how many extra milliliters the larger container holds.

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