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Vocabulary
modelsapproximate formulascircumferenceareacircleactual formulas
Skills
  • use models (to determine approximate formulas for circumference and area of a circle) #dok2
  • connect (models to actual formulas for circumference and area) #dok3
  • determine (approximate formulas for circumference and area using models) #dok2
  • explain (connections between models and actual formulas for circles) #dok3
Learning Targets
  • I can use models to find approximate formulas for the circumference of a circle. #dok2
  • I can use models to find approximate formulas for the area of a circle. #dok2
  • I can determine approximate formulas for the circumference and area of a circle using hands-on models. #dok2
  • I can connect the models I use to the actual formulas for circumference and area of a circle. #dok3
  • I can explain how the models relate to the actual formulas for finding a circle’s circumference and area. #dok3
Big Ideas
  • Geometric models help us understand and discover the relationships that lead to formulas for circumference and area of circles.
  • Connecting concrete models to abstract formulas deepens understanding of key mathematical concepts.
Essential Questions
  • How can physical models help us develop formulas for the circumference and area of a circle?
  • What patterns or relationships do you observe when you use models to approximate a circle’s circumference and area?
  • In what ways do models and actual formulas for circles connect and differ?
  • Why is it important to use both models and formulas when solving problems involving circles?
  • How does understanding the derivation of a formula impact your ability to use and explain it?