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Mathematics - Elementary Curriculum Mathematics Grade 5
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Strand: NUMBER AND OPERATIONS IN BASE TEN (5.NBT)

Understand the place value system (Standards 5.NBT.14). Perform operations with multidigit whole numbers and with decimals to hundredths (Standards 5.NBT.57).

Standard 5.NBT.5

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

  • Determining Surface Area with Unit Blocks, Rulers, and Nets
    In this video students are shown how to calculate the surface area of a prism. The classroom activity in the lesson requires that students apply this knowledge and measure the surface areas of real 3-Dl objects. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Elmer's Multiplication Error
    This task has students explore a very common multiplication error that occurs when using the standard algorithm - it is easy to forget a step or misalign the addends if you aren't thinking about the value of a particular digit. This task is designed to help students catch these kinds of errors.
  • Games for Decimals
    This Teaching Channel video and lesson plan will help students understand tenths and hundredths with the game "Fill Two". (4 minutes)
  • Grade 5 Math Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
    In Module 2 students apply patterns of the base ten system to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm. Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms. A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method. In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses. Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups. An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.
  • Grade 5 Unit 1: Order of Operations & Whole Numbers (Georgia Standards)
    In this unit students will solve problems by representing mathematical relationships between quantities using mathematical expressions and equations. Use the four whole number operations efficiently, including the application of order of operations. Write, evaluate, and interpret mathematical expressions with and without using symbols. Apply strategies for multiplying a 2- or 3-digit number by a 2-digit number. Develop paper-and-pencil multiplication algorithms (the U.S. traditional algorithm is not an expectation) for 3- or 4-digit number multiplied by a 2- or 3-digit number.
  • IXL Game: Mixed Operations
    This game will help fifth graders understand how to add, subtract, multiply, and divide decimals. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
  • Minutes and Days
    This task requires division of multi-digit numbers in the context of changing units. In addition, the conversion problem requires two steps since 2011 minutes needs to be converted first to hours and minutes and then to days, hours, and minutes.
  • Number and Operations in Base Ten (5.NBT) - Fifth Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fifth Grade Mathematics - Number and Operations in Base Ten (5.NBT)
  • The Value of Education
    The purpose of this task is for students to add, subtract, multiply, and divide decimal numbers in a real-world context.
  • What is 23 divided by 5?
    This task involves whole number division problems which do not result in a whole number quotient. It is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder or a mixed number/decimal.


UEN logo http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialists - Trish  French or Molly  Basham and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.