Mathematics Grade 6
Strand: THE NUMBER SYSTEM (6.NS)
Apply and extend previous understandings of multiplication and division of whole numbers to divide fractions by fractions (Standard 6.NS.1)
. Compute (add, subtract, multiply and divide) fluently with multi-digit numbers and decimals and find common factors and multiples (Standards 6.NS.2–4)
. Apply and extend previous understandings of numbers to the system of rational numbers (Standards 6.NS.5–8)
Fluently divide multi-digit numbers using the standard algorithm.
The goal of this task is to perform and analyze division with whole numbers in a sports context.
Chapter 0 - Mathematical Foundations (UMSMP)
This is Chapter 0 of the Utah Middle School Math: Grade 6 textbook. It provides a Mathematical Foundation for Fluency.
Chapter 0 - Student Workbook (UMSMP)
This is Chapter 0 of the Utah Middle School Math: Grade 6 student workbook. It covers the following topics: Fluency.
Grade 6 Math Module 2: Arithmetic Operations Including Division of Fractions (EngageNY)
In Module 2, students complete their understanding of the four operations as they study division of whole numbers, division by a fraction and operations on multi-digit decimals. This expanded understanding serves to complete their study of the four operations with positive rational numbers, thereby preparing students for understanding, locating, and ordering negative rational numbers (Module 3) and algebraic expressions (Module 4).
Grade 6 Unit 1: Number System Fluency (Georgia Standards)
In this unit students will find the greatest common factor of two whole numbers less than or equal to 100. Find the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Interpret and compute quotients of fractions. Solve word problems involving division of fractions by fractions using visual fraction models and equations to represent the problem. Fluently divide multi-digit numbers using the standard algorithm. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
How Many Staples?
The goal of this task is to perform long division with remainder in a context. Students are shown a box of staples and asked to find inconsistencies in the information on it.
Interpreting a Division Computation
In this task, students are shown a division problem and then asked to find the products of a group of numbers related to that problem.
This video demonstrates how to use the slope-intercept of a line to the graph of that line. The classroom activity has them demonstrate their understanding by finding equations for a set of lines through the origin. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
The Number System (6.NS) - 6th Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 6 - The Number System.
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 -
and see the Mathematics - Secondary 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