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Chapter 3 - Rational Numbers
Chapter 3 - Rational Numbers
6.NS.C.5 - Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
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.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.
6.NS.C.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.
6.NS.C.6c - Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pair of integers and other rational numbers on a coordinate plane.
6.NS.C.7 - Understand ordering and absolute value of rational numbers.
6.NS.C.7a - 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.
Vocabulary
Vocabulary
- absolute value
- coordinate plane
- integers
- line of symmetry
- line symmetry
- negative integer
- opposites
- ordered pair
- origin
- positive integer
- quadrants
- rational number
- x-axis
- x-coordinate
- y-axis
- y-coordinate
Lesson 3.1 - Understand Positive and Negative Numbers
- Students will be able to understand positive and negative numbers, and use them to represent real-world quantities.
- (6.NS.C.5 & 6.NS.C.6a)
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- M.1 - Understanding integers
- M.3 - Integers on number lines
Lesson 3.2 - Compare and Order Integers
- Students will be able to compare and order integers. (6.NS.C.7a & 6.NS.C.7b)
IXL Practice
- M.5 - Compare and order integers
Lesson 3.3 - Rational Numbers and the Number Line
- Students will be able to plot rational numbers on a number line, and use a number line to identify opposites. (6.NS.C.6a & 6.NS.C.6c)
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Khan Academy - Decimals and Fractions on a Number Line
- M.4 - Graph integers on horizontal and vertical number lines
Lesson 3.4 - Compare and Order Rational Numbers
- Students will be able to compare and order rational numbers. (6.NS.C.7a & 6.NS.C.7b)
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Khan Academy - Compare and Order Rational Numbers
- P.1 - Compare rational numbers
- P.2 - Put rational numbers in order
Lesson 3.5 - Absolute Value
- Students will be able to find and interpret the absolute value of rational numbers. (6.NS.C.7c)
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- M.2 - Absolute value and opposite integers
- P.3 - Absolute value of rational numbers
Lesson 3.6 - Compare Absolute Values
- Students will be able to interpret comparisons involving absolute values. (6.NS.C.7d)
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Lesson 3.7 - Rational Numbers and the Coordinate Plane
- Students will be able to plot ordered pairs of rational numbers on a coordinate plane. (6.NS.C.6c)
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Khan Academy - Points on the Coordinate Plane
- X.2 - Graph points on a coordinate plane
Lesson 3.8 - Ordered Pair Relationships
- Students will be able to identify the relationship between points on a coordinate plane. (6.S.C.6b)
- X.1 - Objects on a coordinate plane
Lesson 3.9 - Distance on the Coordinate Plane
- Students will be able to find horizontal and vertical distance on the coordinate plane. (6.NS.C.8)
- X.5 - Distance between two points
Lesson 3.10 - Problem Solving: The Coordinate Plane
- Students will be able to solve problems on the coordinate plane by using the strategy: draw a diagram. (6.NS.C.8)
- X.4 - Coordinate planes as maps
- X.6 - Follow directions on a coordinate plane
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