•Construct an understanding of numbers through hands-on work.
•Discover constancy & patterns while working with one number, then the next.
•Describe the parts of many different number arrangements.
•Determine the whole when the parts of a number are known.
•Determine a missing part of a number when the other part is known.
•Find all the ways a number can be decomposed into two or more parts.
Students can work at the following levels, ensuring that each student is working at the level right where they need to be. These different levels can also be used for different grade levels.
•FIRST build models with concrete materials
•THEN describe what they built with mathematical language
•EITHER build concrete models to match written equations
•OR match equations to their model
•FIRST build concrete models
•THEN record/write equations to match what they’ve built