Math Games

Grade 5 - Number

Standard 5.N.6 - Solve division word problems with remainders.

Included Skills:

Demonstrate an understanding of division (1- and 2-digit divisors and up to 4-digit dividends), concretely, pictorially, and symbolically, and interpret remainders by
• using personal strategies
• using the standard algorithm
• estimating quotients
to solve problems.

• Model the division process as equal sharing using base-10 blocks, and record it symbolically.
• Explain that the interpretation of a remainder depends on the context:
- ignore the remainder (e.g., making teams of 4 from 22 people)
- round up the quotient (e.g., the number of five passenger cars required to transport 13 people)
- express remainders as fractions (e.g., five apples shared by two people)
- express remainders as decimals (e.g., measurement or money)
• Model and explain the relationship that exists between algorithm, place value, and number properties.
• Determine quotients using the standard algorithm of long division. (The multiples of the divisor are subtracted from the dividend.)
• Solve a division problem in context using personal strategies, and record the process.
• Refine personal strategies such as mental math strategies to increase efficiency when appropriate (e.g., 860 ÷ 2 think 86 ÷ 2 = 43 then 860 ÷ 2 is 430).