Make Math Moments Academy › Forums › Full Workshop Reflections › Module 4: Teaching Through Problem Solving to Build Understanding › Lesson 41: The Stage of Mastery › Lesson 41: The Stages of Mastery Action › Reply To: Lesson 41: The Stages of Mastery Action

I am making an assumption that students have reached at least consious competence with finding thecircumference and area of a circle. I would like to address the surface area of a cylinder. Stage 1: Students would have differing thoughts about what surface area is and what shapes make up a cylinder. Stage 2: Students realize the concept of surface area and the shapes but have difficulty figuring out where they get the length of the rectangle. Stage 3: Students are capable of finding the areas of circles and they find both not realizing quite yet they are the same. Students find the circumference of the circle for the length and multiply by the height…they realize they need to add all sides together. Stage 4: Students find the area of 1 circle and then multiply by 2, find circumference of circle and multiply by theheight, add all sides together and assign the correct unit squared. Stage 5: Students can find the surface area of a different cylinders with a vriety of rational numbers.