GEOM.MATH.12.B
Apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems; Page 12 October 2015 Update.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
proportional relationshipmeasurearc lengthcirclecircumferenceproblems
Skills
- identify (the components of a circle and its circumference) #dok1
- calculate (arc length given angle measure and circumference) #dok2
- apply (the proportional relationship between arc length and circumference to solve problems) #dok2
- justify (solutions to arc length problems using proportional reasoning) #dok3
Learning Targets
- I can identify parts of a circle such as arc, arc length, and circumference. #dok1
- I can recall the formula for the circumference of a circle. #dok1
- I can calculate the length of an arc using its central angle and the circumference of a circle. #dok2
- I can apply the proportional relationship between an arc’s measure and the circle’s circumference to solve problems. #dok2
- I can justify my solution strategy for finding arc length using proportional reasoning. #dok3
Big Ideas
- The measure of an arc length is a proportion of the circle's circumference, based on the arc's central angle.
- Understanding the relationship between arc length and circumference enables the solution of real-world and abstract geometric problems involving circles.
Essential Questions
- How is the length of an arc related to the circumference of a circle?
- What information do you need to find the length of an arc?
- Why can arc length be determined using a proportion?
- How do the central angle and circumference work together to help you solve for arc length?
- In what real-world situations might you need to use arc length?