Florida B.E.S.T. MA.912.GR.6.2
The Standard
Solve mathematical and real-world problems involving the measures of arcs and related angles.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify which arc or arcs an angle cuts off. They use central, inscribed, chord, secant, and tangent relationships to find unknown arc and angle measures in diagrams and contexts.
What Mastery Looks Like
- A student identifies the correct intercepted arc or arcs and selects the matching angle relationship. They write and solve an equation for a missing arc or angle in central, inscribed, interior, and exterior cases. They check that each result fits the diagram.
Common Misconceptions
- Students often set every angle equal to its intercepted arc, forgetting that an inscribed angle is half the arc. They may add arcs when an exterior angle requires subtraction, or confuse minor and major arcs. They also choose the wrong intercepted arcs in chord, secant, and tangent diagrams.
How to Assess It
- Exit ticket: Minor arc AB measures 120°. Find central angle AOB and inscribed angle ACB, where C lies on major arc AB. Explain each relationship.
Lesson moves
Ways to Teach It
Students fold paper circles to mark centers, draw intercepted arcs, and use protractors to compare central and inscribed angles.
Prompt: Two inscribed angles intercept the same arc. Explain why their measures match, using the arc measure in your reasoning.
Run a card sort matching circle diagrams, angle formulas, and solutions for central, inscribed, interior, and exterior angles.
Map times on a clock face, then calculate the minor arc, major arc, and angle between the hands.
Free download
Printable MA.912.GR.6.2 Worksheet
A ready-to-print activity worksheet aligned to MA.912.GR.6.2, 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.8.GR.2.4
Solve mathematical and real-world problems involving proportional relationships between similar triangles.
- 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.4.GR.1.3
Solve real-world and mathematical problems involving unknown whole-number angle measures. Write an equation to represent the unknown.
- MA.912.T.1.8
Solve mathematical and real-world problems involving one-variable trigonometric ratios.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.