Division within 10,000 with Remainders

The interactive white board Teacher Tool for this lesson is on our website under “Resources.” (www.dreambox.com/teachertools)This DreamBox lesson uses a packing context and partial quotients to help students understand multi-digit division conceptually, interpret remainders, and develop effective mental division strategies.

Common Core State Standards

 Grade ID Domain Cluster Standard 4 4.OA.3 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 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 using mental computation and estimation strategies including rounding. 5 5.NBT.6 Number & Operations in Base Ten Perform operations with muti-digit whole numbers and with decimals to the hundredths. Find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 5 5.SMP.2 Standards for Mathematical Practice Add and subtract within 20 Reason abstractly and quantitatively.

Adapted from: Fosnot & Dolk. Young Mathematicians at Work: Constructing Multiplication and Division (Portsmouth, NH: Heinemann), 120-123.

Thera Pearce

teacher | mother | learner | friend | Raleigh, NC