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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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Juan has 5 marbles. Connie has 8 more than Juan. How many marbles does Connie have?
Direct Modeling
N/A
Modeling
Strategy: Join All
5+8=13
Counting
Strategy: Count on from first
5+8=13
Counting
Strategy: Count on from last
8+5=13
8 l l l l
l
9 10 11 12 13
Facts
Strategy: Derived Facts
8=5+3
5+5 -> 10+3 -> 13
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Compare Quantity Unknown
Juan has 5 marbles. Connie has 8 more than Juan. How many marbles does Connie have?
Direct ModelingN/A
Modeling
Strategy: Join All
5+8=13
Counting
Strategy: Count on from first
5+8=13
Counting
Strategy: Count on from last
8+5=13
8 l l l l
l
9 10 11 12 13Facts
Strategy: Derived Facts
8=5+3
5+5 -> 10+3 -> 13