GEOM.MATH.12.C
Apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
proportional relationshipmeasureareasectorcircleproblems
Skills
- apply (the proportional relationship between area of a sector and area of a circle) #dok2
- solve (problems involving sector area and circle area) #dok2
- interpret (area relationships of sectors and circles in word problems) #dok2
Learning Targets
- I can identify the area of a sector and the area of a circle from given information. #dok1
- I can state and use the formula for the area of a sector of a circle. #dok1
- I can apply the proportional relationship between the area of a sector and the area of a circle to solve problems. #dok2
- I can solve real-world and mathematical problems involving the area of sectors and circles. #dok2
- I can interpret word problems to set up and solve for unknowns involving area of sectors and circles. #dok2
Big Ideas
- The area of a sector is a fraction of the area of the whole circle based on the angle of the sector.
- Understanding the proportional relationship between a sector and the circle helps solve real-world and mathematical problems involving parts of circles.
Essential Questions
- How are the area of a sector and the area of an entire circle related?
- How can you determine what portion of a circle a sector represents?
- Why is it useful to express the area of a sector as a fraction of the circle’s area?
- In what real-world scenarios might you need to use the area of a sector?
- What information do you need to calculate the area of a sector when solving a problem?