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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
Join Change Unknown
Join Change Unknown
Connie has 5 marbles. How many more marbles does she need to have 13 marbles altogether?
Join to: 5 + 8 = 13
Students will put out Connie's 5 marbles. Students will then add marbles to Connie's pile until she has 13 marbles. Students will see how many more marbles they had to add to Connie's pile to find the total number more marbles she needs.
Separate From: 13 - 5 =
Students will put out all 13 marbles that Connie is trying to reach. Students will then cross off the five marbles that she already has, the remaining amount will the the number of marbles she needs.
Counting Up To: 5 +
Students will start at the number of marbles she has (5) and will count up to the amount that she needs (13.) Students will see how many units they counted up in order to get to the amount needed. Students will see that the amount they counted will be the remaining amount needed to get to 13.
Count Down To: 13 -
Students will start at the total number Connie needs altogether (13). Students will count back to the amount that she has already (5). The number of times that we had to jump back in order to get to 5 will be the total amount needed to get to 13.
Counting Down: 13 - 5 =
Students will start at the total number of marbles that Connie needs (13). Students will count back the five marbles that Connie already has. The resulting number will the the amount she needs in order to have a total of 13 marbles.
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