Essential Questions:
Big Idea:
Grids or coordinate plane can have four quadrants to represent positive and negative numbers.
Positive and negative numbers describe quantities having opposite direction or values.
Unit 1 instructional time is focused on these priority standards:
6.NS.C.5 Understand that positive and negative numbers are used together 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 realworld contexts, explaining the meaning of 0 in each situation.
6.NS.C.7 Understand ordering and absolute value of rational numbers.
6.NS.C.7b Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write
3 degrees C > 7 degrees C to express the fact that 3 degrees C is warmer than 7 degrees C.
6.NS.C.8 Solve realworld and mathematical problems by graphing points in all four 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.
Unit 1 instructions is supported by these standards:
6.NS.C.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.
6.NS.C.6.A 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.
6.NS.C.6.B 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.
6.NS.C.6.C Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
6.NS.C.7.A Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret 3 > 7 as a statement that 3 is located to the right of 7 on a number line oriented from left to right.
6.NS.C.7.C 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 realworld situation. For example, for an account balance of 30 dollars, write 30 = 30 to describe the size of the debt in dollars.
6.NS.C.7.D Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than 30 dollars represents a debt greater than 30 dollars.
 What does the location of a number on a grid mean?
 How can I use numbers to represent various situations in the world?
Big Idea:
Grids or coordinate plane can have four quadrants to represent positive and negative numbers.
Positive and negative numbers describe quantities having opposite direction or values.
Unit 1 instructional time is focused on these priority standards:
6.NS.C.5 Understand that positive and negative numbers are used together 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 realworld contexts, explaining the meaning of 0 in each situation.
6.NS.C.7 Understand ordering and absolute value of rational numbers.
6.NS.C.7b Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write
3 degrees C > 7 degrees C to express the fact that 3 degrees C is warmer than 7 degrees C.
6.NS.C.8 Solve realworld and mathematical problems by graphing points in all four 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.
Unit 1 instructions is supported by these standards:
6.NS.C.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.
6.NS.C.6.A 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.
6.NS.C.6.B 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.
6.NS.C.6.C Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
6.NS.C.7.A Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret 3 > 7 as a statement that 3 is located to the right of 7 on a number line oriented from left to right.
6.NS.C.7.C 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 realworld situation. For example, for an account balance of 30 dollars, write 30 = 30 to describe the size of the debt in dollars.
6.NS.C.7.D Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than 30 dollars represents a debt greater than 30 dollars.
What to TeachUnit 1 Outline
Preassessment Introduce Real World Experience Topic 1: Understanding Positive and Negative Numbers (2 days)

Lesson Ideas 
Student Practice 
Topic 2: Graphing Rational Numbers on a Number Line and/or Coordinate Plane (3 days)

Billy bug 2
(helps students learn coordinates) 
Topic 3: Comparing and Interpreting Rational Numbers (3 days)
