NY Next Generation Math NY-4.NBT.1

Math4th GradeGeneralize place value understanding for multi-digit whole numbers.

The Standard

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students compare the values of the same digit in adjacent places. They use place-value language, models, and multiplication to explain the tenfold relationship.
What Mastery Looks Like: In 4,440, a student explains that the 4 in the hundreds place is worth 400, ten times the 40 to its right. The student can show the relationship with an equation.
Common Misconceptions: Students may say the digit itself becomes ten times larger rather than its value. They may rely on adding a zero without connecting the change to place value.
How to Assess It: Ask students to compare the two 7s in 77,000, write their values, and complete an equation showing their relationship.

Lesson moves

Build adjacent place values with base-ten blocks, exchanging ten units of one place for one unit of the next place.
Ask students to explain how the value of 6 changes between 6,300 and 63,000.
Play a digit-shift game where students place one digit in adjacent columns and state both values and their relationship.
Compare place values in population counts or stadium attendance figures that repeat the same digit.

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