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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 Change Unknown
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Separate Change Unknown
Connie had 13 marbles. She gave some to Juan. Now she has 5 marbles left. How many marbles did Connie give to Juan?
Direct Modeling
:
Strategy
:
Separate To
13-?=5
Modeling
:
Strategy
:
Join To
5+? =13
Strategy
:
Separate From
13-5=?
Counting:
Strategy
:
Count Down
3-5=?
Strategy
:
Count Up To
5+?=13
Strategy
:
Count Down To:
13-?
=5
Facts
:
Strategy
:
Derived Facts
I Know 13=10+3, so 10-->-5-->5+3-->8
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Separate Change Unknown
Connie had 13 marbles. She gave some to Juan. Now she has 5 marbles left. How many marbles did Connie give to Juan?
Direct Modeling:
Strategy:
Separate To
13-?=5
Modeling:
Strategy:
Join To
5+? =13
Strategy:
Separate From
13-5=?
Counting:
Strategy:
Count Down
3-5=?
Strategy:
Count Up To
5+?=13
Strategy:
Count Down To:
13-?=5
Facts:
Strategy:
Derived Facts
I Know 13=10+3, so 10-->-5-->5+3-->8