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

Overview

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.

Vocabulary

 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   Dr. Peter Smith, Superintendent P.O. Box 606 DeWitt, NY 13214 Phone: (315) 445-8300 www.jamesvilledewitt.org