Question: James demonstrates how to add 257 and 164 (Representation). Using the same numbers, what is the sum in Base 3? Model each step of the

James demonstrates how to add 257 and 164 (Representation). Using the same numbers, what is the sum in Base 3? Model each step of the sum with yellow counters as exploding dots for a visual component (Concrete). [3 pts] Explain your thinking (why are you making the decisions you do).

James demonstrates how to subtract 347 from 512 (Representation). Using the same numbers, what is the difference in Base 3? Model each step of the difference with yellow (dot) and red (antidot) counters for a visual component (Concrete). [3 pts]. Explain your thinking (why are you making the decisions you do).

James demonstrates how to divide 277 by 12 (Representation). Using the same numbers, and staying in Base 10, model each step with yellow counters as exploding dots for a visual component (Concrete). [3 pts]. Explain your thinking (why are you making the decisions you do).

Compare Methods:

Divide 277 by 12 using the scaffold division method. Model each scaffold with concrete manipulatives. [4 pts]
Compare dividing with exploding dots to scaffold division. What do you notice?

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