End-to-End Length Measurer
Sub Trajectory: Measurement

Lays units end to end. May not recognize the need for equal-length units or be able to measure if there are fewer units than needed. The ability to apply resulting measures to comparison situations develops later in this level. May use rulers with substantial guidance. (This level develops in parallel with "Serial Orderer to 5 (Length)").

Practice-based Research: Placing objects end-to-end also builds number sense, including relationships among numerals, number words, quantities, and the relative sizes of numbers.


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Other Examples:

  • Lays nine one-inch cubes in a line beside a book to measure how long it is.  
  • Measures the length of a strip with 2 x 4 linking blocks, ensuring that the connected blocks align with the end endpoint and do not have any gaps in between them. 

Help your student become a(n) End-to-End Length Measurer

Activities challenge children to fill lengths from endpoint to endpoint without gaps or overlaps to measure accurately. Children often are not worried about accuracy as we might, so the best activities are self-checking (e.g., if you measure correctly, you "find the one that fits perfectly"). Having a mixed-up puppet make mistakes and asking the children to help him can be fun and generate good discussion and solid concepts.

Practice-based Research: Use any opportunity, especially Mr. Mixup activities, to discuss the emotional aspect of making mistakes. Ask children, for example, “How do you think Mr. Mixup feels when he makes a mistake? How could we help him? We could tell him, ‘It is okay, everybody makes mistakes, and you can learn from them.’”


Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.