Maryland Math 6.NOS.B.2

6.NOS.B.2 is a cluster heading. These are the individual standards under it.

• 6.NOS.B.2.a

  Extend estimation strategies to estimate and assess the reasonableness of quotients.

• 6.NOS.B.2.b

  Use strategies (e.g., partial quotients, inverse relationship between multiplication and division) to divide.

• 6.NOS.B.2.c

  Use a standard algorithm to divide.

• 6.NOS.B.2.d

  Determine and explain when a strategy or algorithm is most efficient.

01

What Students Need to Do

Students estimate before dividing multi-digit numbers. They use partial quotients, multiplication, and long division to find and check answers. They explain which method is quickest for a given problem.

02

What Mastery Looks Like

For 3,456 ÷ 24, a student estimates about 140, calculates 144, and checks that 144 × 24 = 3,456. They can explain why mental math is quicker than long division for 4,800 ÷ 24.

03

Common Misconceptions

Students may divide by 2 and then 4 instead of dividing by 24. They may put quotient digits in the wrong columns or lose track of place value in partial quotients. Some accept an answer without estimating or multiplying back.

04

How to Assess It

Exit ticket: Estimate 1,248 ÷ 26, solve it with long division, and check with multiplication. Then say whether partial quotients would be faster for you and why.

1. 01

   Cut two 24-by-10 and one 24-by-8 grid-paper rectangles; fit them together to model 672 ÷ 24.

2. 02

   Ask, “Which is quicker for 4,800 ÷ 24: mental math, partial quotients, or long division?” Have students show why.

3. 03

   In pairs, solve 3,456 ÷ 24 by long division; earn a point only after checking with multiplication and an estimate.

4. 04

   A school splits 1,176 pencils among 24 classrooms; have students estimate, divide, and check the answer against the order total.

• 6.NOS.B.3

  Fluently multiply and divide multi-digit decimals to the thousandths in context.

• 4.NOS.B.3

  Fluently add and subtract multi-digit whole numbers within 1,000,000.

• 5.NOS.B.4

  Fluently multiply multi-digit whole numbers.

• 5.NOS.B.5

  Divide multi-digit whole numbers with up to four-digit dividends and two-digit divisors.