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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
Separate Start Unknown
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Separate Start Unknown
Connie had some marbles. She gave 5 to Juan. Now she has 8 marbles left. How many marbles did Connie have to start with?
Direct Modeling:
Strategy: Trial and Error
?
Modeling:
Strategy: Join All
5+8=?
Counting:
Strategy: Count on From First
5 * * * * * * * *
6 > 7> 8> 9> 10> 11> 12> 13
Strategy: Count on From Larger
8 * * * * *
9> 10> 11> 12> 13
Facts:
Number Facts
? - 5=8
I know 5+5 ---10+3----13
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Separate Start Unknown
Connie had some marbles. She gave 5 to Juan. Now she has 8 marbles left. How many marbles did Connie have to start with?
Direct Modeling:
Strategy: Trial and Error
?
Modeling:
Strategy: Join All
5+8=?
Counting:
Strategy: Count on From First
5 * * * * * * * *
6 > 7> 8> 9> 10> 11> 12> 13
Strategy: Count on From Larger
8 * * * * *
9> 10> 11> 12> 13
Facts:
Number Facts
? - 5=8
I know 5+5 ---10+3----13