NY Next Generation Math NY-6.NS.3

Math6th GradeCompute fluently with multi-digit numbers and find common factors and multiples.

The Standard

Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students fluently add, subtract, multiply, and divide multi-digit decimals with a standard algorithm for each operation. They align place values and place the decimal point from operation meaning.
What Mastery Looks Like: The student computes decimal operations accurately and efficiently, including division by a decimal. The student estimates first and uses the estimate to reject misplaced decimal points.
Common Misconceptions: Students may align final digits instead of decimal places for addition or subtraction. They may place decimal points by counting digits without understanding the multiplication or division scale.
How to Assess It: Ask students to calculate 23.47 + 8.905 and 48.36 divided by 1.2 with standard algorithms, then check both answers by estimation.

Lesson moves

Use place-value grids beside standard algorithms to track decimal positions through each operation.
Ask students how an estimate can reveal a decimal-point error in a quotient.
Play decimal algorithm error hunt with misalignment, regrouping, and quotient-placement mistakes.
Calculate a multi-item bill, measured difference, scaled quantity, and unit rate using decimal algorithms.

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