Virginia SOL 6.MG.1.a
The Standard
Identify and describe chord, diameter, radius, circumference, and area of a circle.
Virginia Standards of Learning for Mathematics · The student will identify the characteristics of circles and solve problems, including those in context, involving circumference and area.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify parts of a circle by looking at where segments begin, end, and pass through the center. They describe the outer boundary and the space inside.
What Mastery Looks Like
- Students correctly label circle diagrams and explain each label using endpoints and the center. They distinguish the boundary from the space inside and state that a diameter is twice the radius.
Common Misconceptions
- Students may call any segment inside a circle a radius or diameter. They may also confuse circumference with area, or miss that a diameter is a chord through the center.
How to Assess It
- Give students a circle with its center marked and three different segments drawn. Ask them to label each segment, shade the area, and trace the circumference.
Lesson moves
Ways to Teach It
Give pairs paper circles, string, rulers, and markers to create and label two radii, a diameter, a chord, circumference, and area.
Ask students to explain in writing why every diameter is a chord, but not every chord is a diameter.
Play a diagram sorting game where students match circle drawings to radius, diameter, chord, circumference, or area cards.
Examine a bicycle wheel and identify examples of the center, radius, diameter, circumference, and circular area. Koike
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Printable 6.MG.1.a Worksheet
A ready-to-print activity worksheet aligned to 6.MG.1.a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.MG.1.e
Solve problems, including those in context, involving circumference and area of a circle when given the length of the diameter or radius.
- 6.MG.1
The student will identify the characteristics of circles and solve problems, including those in context, involving circumference and area.
- 6.MG.1.b.iii
Investigate and describe the relationship between diameter and circumference
- 6.MG.1.b.ii
Investigate and describe the relationship between radius and circumference
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