Circles
7th Grade


Alabama Course of Study Standards:
20

Explain the relationships among circumference, diameter, area, and radius of a circle to demonstrate understanding
of formulas for the area and circumference of a circle. Informally derive the formula for area of a circle.
 Solve area and circumference problems in realworld and mathematical situations involving circles.

Arkansas Academic Standards:
7.G.B.4

 Know the formulas for the area and circumference of a circle and use them to solve problems.
 Give an informal derivation of the relationship between the circumference and area of a circle

Arizona  K12 Academic Standards:
7.G.B.4

Understand and use the formulas for the area and circumference of a circle to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 
Common Core State Standards:
Math.7.G.4 or 7.G.B.4
Tennessee Academic Standards:
7.G.B.3

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 
Georgia Standards of Excellence (GSE):
MGSE7.G.4

Given the formulas for the area and circumference of a circle, use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 
Massachusetts Curriculum Frameworks:
7.G.B.4

Circles and measurement: Know that a circle is a twodimensional shape created by connecting all of the points equidistant from a fixed point called the center of the circle.
 Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.
 Understand and describe the relationship among the radius, diameter, and area of a circle.
 Know the formulas for the area and circumference of a circle and use them to solve problems.
 Give an informal derivation of the relationship between the circumference and area of a circle.

North Carolina  Standard Course of Study:
7.G.4

Understand area and circumference of a circle. Understand the relationships between the radius, diameter, circumference, and area.
 Apply the formulas for area and circumference of a circle to solve problems.

New York State Next Generation Learning Standards:
7.G.4

Apply the formulas for the area and circumference of a circle to solve problems. Note: Students in grade 7 are not expected to calculate the radius
of a circle given its area. 
Ohio's Learning Standards:
7.G.4

Work with circles. Explore and understand the relationships among the
circumference, diameter, area, and radius of a circle.
 Know and use the formulas for the area and
circumference of a circle and use them to solve realworld
and mathematical problems.

Pennsylvania Core Standards:
CC.2.3.7.A.1

Solve realworld and mathematical problems involving angle measure, area, surface area, circumference, and volume. 
Pennsylvania Core Standards:
M07.CG.2.2.1

Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s). 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.GR.1.3

Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and realworld problems. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.GR.1.4

Explore and apply a formula to find the area of a circle to solve mathematical and realworld problems. 
