Make Math Moments Academy › Forums › Full Workshop Reflections › Module 4: Teaching Through Problem Solving to Build Understanding › Lesson 4-1: The Stage of Mastery › Lesson 4-1: The Stages of Mastery Action › Reply To: Lesson 4-1: The Stages of Mastery Action
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A concept that I might be teaching next week is exponents. Stage 1 is recognizing the superscripted number, but not knowing its meaning. Stage 2 is the same. Stage 3 is listing out the base multiplied by itself based on a diagram. One option is dimensions (only really works for degree two or three). Another option are tree diagrams. Stage 4 is seeing that exponential form is shorthand for repeated multiplication. Stage 5 would be combining two tree diagrams or two scenarios to show that you add the exponents when multiplying together two numbers in exponential form that have the same base.