overviewThis learning topic formally introduces integers to students. Up until now, students have learned about whole numbers and positive numbers. Now they are introduced to negative numbers, which are positive numbers' opposites. Rational numbers are a subset of integers which include negative and positive fractions and decimals, terminating and repeating. Students compare and order rational numbers and understand their place on the number line. They extend this understand to the coordinate plane which has 4 quadrants to address both the vertical and horizontal number lines that have positive and negative intervals. This leads to understanding how to graph shapes and their position relative to the origin and to other coordinate pairs on the coordinate plane.

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Standards Mastery
By the end of this learning topic, students should be able to show mastery of the following standards:
 I understand that positive & negative numbers are used together to describe quantities having opposite directions or values. (6.NS.5)
 I can use positive & negative numbers to represent quantities in realworld contexts & can explain the meaning of 0 in context. (6.NS.5)
 I recognize opposite signs of numbers and their locations on the opposite sides of 0 on a number line and the coordinate plane. (6.NS.6a)
 I understand the signs of ordered pairs and can interpret their reflections on the coordinate plane. (6.NS.6b)
 I can plot rational numbers on numbers lines and on the coordinate plane. (6.NS.6c)
 I can find the absolute value of rational numbers and order them in realworld contexts. (6.NS.7)
 I can solve realworld problems by graphing coordinate pairs in all 4 quadrants of the coordinate plane (6.NS.8)
Lesson 1: Integers & Graphing
Standard:
6.NS.5 I can use integers to represent realworld situations.
Essential Question:
How do I represent realworld situations w/ integers?
6.NS.5 I can use integers to represent realworld situations.
Essential Question:
How do I represent realworld situations w/ integers?
Key Vocabulary:
integers, positive integers, negative integers Key Concepts:


Lesson 2: Absolute Value
Standard:
6.NS.6 I can find the absolute value of an integer.
Essential Question:
How do I find the absolute value of an integer?
6.NS.6 I can find the absolute value of an integer.
Essential Question:
How do I find the absolute value of an integer?
Key Vocabulary:
absolute value, opposites Key Concepts:


Lesson 3: Compare & Order Integers
Standard:
6.NS.7 I can compare & order integers.
Essential Question:
How do I compare and order integers?
6.NS.7 I can compare & order integers.
Essential Question:
How do I compare and order integers?
Key Concepts:


Lesson 4: Terminating & Repeating Decimals
Standard:
6.NS.7 I can write positive & negative fractions as decimals. (Review)
Essential Question:
How do I identify rational decimal numbers as either terminating or repeating?
6.NS.7 I can write positive & negative fractions as decimals. (Review)
Essential Question:
How do I identify rational decimal numbers as either terminating or repeating?
Key Vocabulary:
rational numbers, terminating decimal, repeating decimal Key Concepts:


Lesson 5: Compare & Order Rational Numbers
Standard:
6.NS.6 I can compare & order rational numbers.
Essential Question:
How do I compare & order rational numbers?
6.NS.6 I can compare & order rational numbers.
Essential Question:
How do I compare & order rational numbers?
Key Concepts:


Lesson 6: The Coordinate Plane
Standard:
6.NS.6 I can graph integers on a 4quadrant coordinate plane using ordered pairs.
Essential Question:
How do I label coordinate pairs that fall on the x and y axis?
6.NS.6 I can graph integers on a 4quadrant coordinate plane using ordered pairs.
Essential Question:
How do I label coordinate pairs that fall on the x and y axis?
Key Vocabulary:
quadrants Key Concepts:


Lesson 7: Graph on the Coordinate Plane
Standard:
6.NS.7 I can graph ordered pairs and reflect them on the coordinate plane.
Essential Question:
How can the coordinate plane be used to graph geometric figures?
6.NS.7 I can graph ordered pairs and reflect them on the coordinate plane.
Essential Question:
How can the coordinate plane be used to graph geometric figures?
Key Concepts:

It is really important to understand that when reflecting over the xaxis, the coordinate pair switches from the top to the bottom or the bottom to the top an equal distance from the xaxis. This will result in the yvalue changing signs. When reflecting across the yaxis, the coordinate pair switches from the left to the right or the right to the left an equal distance from the yaxis. This will result in the xvalue changing signs.
