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Capacity Matrix
Levels of Development
Addition and Subtraction Problem Types and Strategies
Invented Strategies For Addition and Subtraction
Multiplication and Division Problem Types and Strategies
Invented Strategies For Mulitplication
Invented Strategies For Division
Build Place Value Understanding
Communication
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Join Result Unknown
Connie had 5 marbles. Juan gave her 8 more marbles.
How many marbles does Connie have altogether?
Modeling:
Strategy: Join all
5 + 8 = ?
Counting:
Strategy: Count on from first
5 + 8 = ?
Strategy: Count on from largest
8 + 5 = ?
Derived Facts:
Strategy: Number Facts
8 = 5 + 3 (decompose the 8)
5 + 5 --->10 + 3 ---> 13
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Join Result Unknown
Connie had 5 marbles. Juan gave her 8 more marbles.
How many marbles does Connie have altogether?
Modeling:
Strategy: Join all5 + 8 = ?
Counting:
Strategy: Count on from first5 + 8 = ?
Strategy: Count on from largest
8 + 5 = ?
Derived Facts:
Strategy: Number Facts8 = 5 + 3 (decompose the 8)
5 + 5 --->10 + 3 ---> 13