Strand: NUMBER AND OPERATIONS IN BASE TEN (5.NBT)

Understand the place value system (Standards 5.NBT.1–4). Perform operations with multidigit whole numbers and with decimals to hundredths (Standards 5.NBT.5–7).

Standard 5.NBT.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

• Base 60: Babylonian Decimals
An Annenberg Learning Math video introduces students to the Babylonian number system in base 60. In the classroom activity they review base 10 and apply their understanding to write numbers in base 60. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Code Breaking: Harley Gets a Hint
In this video Harry must decipher a coded message from his roommate. The classroom activity asks students to create their own codes using both whole numbers and fractions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Grade 5 Mathematics Module 1: Place Value and Decimal Fractions
In Module 1, students understanding of the patterns in the base ten system are extended from Grade 4s work with place value of multi-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves it one place value to the right. Toward the modules end students apply these new understandings as they reason about and perform decimal operations through the hundredths place.
• Marta's Multiplication Error
This task highlights a common misconception among students deriving the rules for multiplying a number by a power of 10. It could be used to ground a classroom discussion during the first day of multiplying decimals by powers of 10 or would also be appropriate for a formative assessment to check for student understanding of this pivotal transition from whole number reasoning to decimal reasoning.
• Multidigit Multiplication with Standard Algorithm: The Donut Doze Off
Begin this activity by watching a video about Bianca who works in a donut shop. When asked by her boss to do a task she makes a mistake and then must use multiplication strategies to save the day. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Multiplying Decimals by 10
The purpose of this task is to help students understand and explain why multiplying a decimal number by 10 shifts all the digits one place to the left.
• USBE Core Guide (5NBT2)
This core guide was developed by USBE and Utah educators.

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 Specialist - Shannon Ference and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - DIANA SUDDRETH .
Email:  diana.suddreth@schools.utah.gov

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.