Florida B.E.S.T. MA.7.GR.1.3
The Standard
Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students measure circles and compare circumference to diameter to recognize the constant ratio π. They use radius or diameter to calculate circumference in math problems and practical situations.
What Mastery Looks Like
- Students can explain that circumference divided by diameter is always about π. They choose πd or 2πr correctly, calculate accurately, and label answers with linear units.
Common Misconceptions
- Students may confuse radius and diameter, then substitute the radius into πd. Some think the ratio changes with circle size or that π equals exactly 3.14. Others label circumference in square units.
How to Assess It
- Exit ticket: Two circles have diameters of 8 cm and 12 cm. Using 3.14 for π, find both circumferences and explain how the results show a proportional relationship.
Lesson moves
Ways to Teach It
Measure jar lids with string and rulers, then calculate and compare each circumference-to-diameter ratio.
Write why doubling a circle’s diameter doubles its circumference, using a table or sketch as evidence.
Play a card sort matching circle diagrams, given measurements, formulas, and circumference values.
Estimate how far a bicycle wheel travels in 20 rotations, then calculate the distance using its measured diameter.
Free download
Printable MA.7.GR.1.3 Worksheet
A ready-to-print activity worksheet aligned to MA.7.GR.1.3, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.912.GR.7.2
Given a mathematical or real-world context, derive and create the equation of a circle using key features.
- MA.7.GR.1.4
Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.
- MA.912.GR.6.4
Solve mathematical and real-world problems involving the arc length and area of a sector in a given circle.
- MA.912.GR.7.3
Graph and solve mathematical and real-world problems that are modeled with an equation of a circle. Determine and interpret key features in terms of the context...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.