# Unit C: Operations and Ordering Rational Numbers

• Listed below are the NYS Grade 6 Common Core Performance Standards for Unit C: Operations and Ordering Rational Numbers.

With each Performance Standard are "I Can Statements" students work on throughout the course of the Unit. At the end of the Unit, the students will be assessed on their ability to perform the actions in each "I Can Statement."

Finally, under the
"I Can Statements" are a list of Topics. You will find extra practice resources, videos, class notes, and homework answers by clicking on the appropriate link.

6.NS.2
Fluently divide multi-digit numbers using the standard algorithm.

6.NS.3
Fluently add, subtract multiply and divide multi-digit decimals using the standard algorithm for each operation.

"I Can Divide Multi-Digit Numbers in both the Dividend and Divisor."

"I Can Add, Subtract, Multiply, and Divide Multi-Digit Decimals and Apply each Operation to Solve Real-World Problems."

 Operations with Decimals Word Problems with Decimals

6.NS.5

Understand that positive and negative numbers are used to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

"I Can Explain How Positive and Negative Numbers Relate to Real-World Examples and the Meaning of 0 in each."

 Relationship of Integers in Story Problems

6.NS.6a
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, e.g., -(-3) = 3, and that 0 is its own opposite.

"I Understand the Relationship of a Number and its Opposite and Can Recognize that the Opposite of a Number's Opposite is the Number itself."

 Opposite of a Number

6.NS.6b
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

"I Can Plot Rational Coordinates in all 4 Quadrants and Explain how the Signs in any Ordered Pair Change in each Quadrant of the Coordinate Graph."

"I Can Explain how Changing the Sign of the Numbers in an Ordered Pair Causes it to Reflect on One or Both Axes."

 Graphing Rational Ordered Pair Reflections Over One or Both Axes

6.NS.6c
Find and position integers and other rational numbers on a horizontal or vertical number line diagram.

6.NS.7a
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

6.NS.7b
Write, interpret, and explain statements of order for rational numbers in real-world contexts.

"I Can Convert Fractions to Decimals and Decimals to Fractions."

"I Can Locate a Rational Number on the Number Line."

"I Can Compare two Rational Numbers on a Number Line and in an Inequality."

"I Can Explain the Meaning of Ordering Rational Numbers in a Real-World Situation."

 Converting Fractions to Decimals and Decimals to Fractions Ordering Positive and Negative Integers Ordering Positive and Negative Rational Numbers Relationship of Rational Numbers in Story Problems

6.NS.7c
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

6.NS.7d
Distinguish comparisons of absolute value from statements about order.

"I Can Explain how the Absolute Value of a number relates its Distance from 0."

"I Can Explain how the Absolute Value of a number is used in Real-World Situations to show Magnitude."

 Absolute Value

6.NS.8
Solve real-world and mathematical problems by graphing points in all 4 quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

"I Can Plot an Ordered Pair of Rational Numbers on the Coordinate Plane."

"I Can Find the Vertical or Horizontal Distance Between two points on the Coordinate Plane."

 Graphing in All Four Quadrants Distance Between Ordered Pair (Perimeter)

# Related Files

• # Unit C Review Packet

• 