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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Concept: Multiply by multiples of 10. Example: 30×6=
UI: Many deer in headlights. Some will begin to add 6 thirty times, others will remember the commutative property and add 30 six times.
CI: Ask how can they might use what they know about partial products to solve?
CC: Student knows that 10×6=60 and that 3 of those = 180. Can extrapolate to 300×6.
UC: Know to multiply and add the correct # of zeros! (Yes, this “trick” should only be used AFTER they understand this conceptually!)
CM: Flexible with 30 x 60 = 3 x 10 x 6 x 10 and use understanding of associative rule to group (3×6) x (10×10) = 18 x 100 = 1800.