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Module 1
Place Value, Rounding, and Algorithms for Addition and Subtraction


Throughout this module students will:
  • Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.  
  • Represent these problems using equations with a letter standing for the unknown quantity.
  • Assess the reasonableness of answers.  This may include rounding and drawing tape diagrams.
  • Generalize place value understanding for multi-digit whole numbers.
  • Use place value understanding to round multi-digit whole numbers to any place.
  • Fluently add and subtract multi-digit numbers using the standard algorithm.


Terminology Definition Illustration
Sum Answer to an addition problem
Difference Answer to a subtraction problem
Rounding Approximating the value of a given number
Place value The numerical value that a digit has by virtue of its position in a number
Digit Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9; also known as base-ten numberals        
Standard form A common or usual way a number using digits (also known as base-ten numeral form)           
Expanded form A multi-digit number is expressed in expanded form when it is written as a sum of single-digit multiples of powers of ten.   e.g.
Word form A way of using words to write a number.          
Tape diagram A drawing that looks like a segment of tape, used to illustrate known and unknown quantities and the relationships between those quantities.  Also known as a strip diagram, bar model, fraction strip, or length model.  
Number line A diagram that represents numbers as points on a line
Algorithm A step-by-step method for computing
Variable A letter or symbol that represents a number
Number sentence An equation or inequality expressed using numbers and common symbols                   

Additional Resources

Multi-Digit Whole Number Addition from JD K-4 Math on Vimeo.

solving word problems with a tape diagram from JD K-4 Math on Vimeo.





Dr. Peter Smith, Superintendent

P.O. Box 606
DeWitt, NY 13214

Phone: (315) 445-8300

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