Elementary Mathematics

5th Grade Unit 7 Overview and Standards

Use these links to access resources for this unit.

 Before You Begin this Unit…   Unit at a Glance

The work of this unit precedes multiplying decimals from the previous unit. Grade 5 teachers are finding that students are better able to make connections to the computation of multiplying/dividing decimals when they relate it to multiplying/dividing whole numbers. This is why this unit has been moved to precede Investigation 3 of Unit 6.

Grade 5 students are required to fluently multiply multi-digit whole numbers using a standard algorithm. Mathematical fluency can be defined as accurate, efficient, and flexible. If your students approach the operation of multiplication mechanically, with little attention to the numbers themselves they may be lacking flexibility.

Mathematical properties that underlie the operation of multiplication are essential to algebra work in secondary mathematics. Students who default to the US traditional algorithm as their only way to approach multiplication may find themselves ill prepared for middle and high school mathematics. This standard calls for fluency with an algorithm. An algorithm is a series of steps for completing a task. Algorithms may differ for students in a given classroom.

Grade 5 students are expected to master this standard by the end of their grade 5 year. Calling for mastery of this standard before this point in the year may stifle a student’s natural continuum of understanding. They must arrive at the “finish line” for grade 5 but they will not all arrive at the same time, date or using the same path.

Suggested Dates:
February 17- March 20

Estimated Duration: 21 days

*Investigation 1: 5 lessons (Including session 2.4A from Unit 1- Teach this after the first four lessons of this unit.) 
*Investigation 2: 4 lessons
*Investigation 3: 7 lessons
*Investigation 4: 5 lessons

*Note- Ten Min. Math Number Puzzles have been replaced by more Order of Operations problems.

 Standards Addressed in the Unit

Link to CCSS Unpacking Document- Updated Sept. '15

(look at pages 30-43) Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

5NBT5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5NBT6. Find whole-number quotients of whole numbers 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.