Mathematics Grade 6
Educational Links

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).

Standard 6.NS.6

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

• Adding Rational Numbers on the Number Line
  In this interactive students must solve riddles about a wallaby jumping contest. But they must find equivalent fractions and common denominators to complete the riddle. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Chapter 3 - Student Workbook (UMSMP)
  This is Chapter 3 of the Utah Middle School Math: Grade 6 student workbook. It covers the following topics: Extending the Number System.
• Chapter 3 - Mathematical Foundations (UMSMP)
  This is Chapter 3 of the Utah Middle School Math: Grade 6 textbook. It provides a Mathematical Extending the Number System.
• Fractions and Decimals from 0 to 1 on the Vertical Number Line
  In this interactive students must solve riddles about jumping fleas by placing fractions and decimals on a 0 to 1 number line. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Fractions, Mixed Numbers, and Decimals on the Number Line
  Using the device of a frog-jumping contest, students learn about values on a number line by placing the frogs' jump distances on the line. 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 6 Math Module 3: Rational Numbers (EngageNY)
  Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the number line (both horizontally and vertically) in Module 3 to include the opposites of whole numbers. The number line serves as a model to relate integers and other rational numbers to statements of order in real-world contexts. In this module's final topic, the number line model is extended to two-dimensions, as students use the coordinate plane to model and solve real-world problems involving rational numbers.
• Grade 6 Unit 7: Rational Explorations: Numbers and their Opposites (Georgia Standards)
  In this unit students will understand that positive and negative numbers are used together to describe quantities having opposite directions or values, understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Recognize that the opposite of the opposite of a number is the number itself.
• Horizontal and Vertical Distances on the Cartesian Graph
  In this activity students place marine animals on a Cartesian graph and then determine the horizontal and vertical distance between them. The classroom activity builds on the student's understanding of distances between points on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Locating Points on the Cartesian Graph
  In this activity students use logic and clues to plot the location of marine animals on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Locations in the Coordinate Plane
  The goal of this task is to introduce students to the relationships between the locations and coordinates of points graphed in all four quadrants of the coordinate plane. When describing the things they notice about the point locations and coordinates, the teacher should encourage students to use terms such as quadrant, distance, origin, sign, axis, and coordinate.
• Plotting Points in the Coordinate Plane
  The goal of this task is to provide experience labeling coordinate axes appropriately to plot a given set of points, which will mean choosing an appropriate scale.
• Rational Numbers on the Number Line
  Riddles about a wallaby jumping contest must be solved in this lesson. Students must place fractions, decimals or mixed numbers representing the lengths of jumps, on a number line from -5 to +5. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Reflecting Points Over Coordinate Axes
  The goal of this task is to give students practice plotting points and their reflections.
• 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.
• Using the Pythagorean Theorem on the Cartesian Graph
  Students place animals on a Cartesian graph in this interactive activity. They then use the Pythagorean Theorem to determine the distance between the animals. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.

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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 - Lindsey  Henderson 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 84114-4200.