Common Core Curriculum Map 2012-2013
Common Core Unit Name: 6 – Rational Numbers and the Coordinate Plane
Unit Number: 9
Enduring Understanding:
Standard
Essential Questions
6.NS.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 real-world
contexts, explaining the meaning of 0 in each situation.
1. How will I use positive and negative numbers (integers)
to talk about quantities that have opposite directions or
values?
2. How will I use negative integers to represent quantities
less than zero, including real world contexts (e.g.,
freezing point in the Celsius system—anything below
freezing is negative, anything above freezing is
positive)?
1. How will I find the opposite of a number on a number
line?
2. How will I recognize that the opposite of the opposite of
the number is the number itself (e.g., -(-3)) and that zero
is its own opposite?
1.
2.
3.
4.
5.
6.
7.
1. How will I use the signs of numbers in ordered pairs to
represent a singular location on the coordinate plane?
2. How will I create a reflection of a point by changing the
sign of numbers in an ordered pair?
3. How will I reflect a shape on the coordinate plane to
show a transformation of a point or shape across one or
both of the axes?
1. (x, y)
2. coordinate
plane
3. ordered pair
4. point
5. quadrant
6. reflection
7. x-axis
8. y-axis
6.NS.6a 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.
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.6b 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.
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.
Pacing
Guideline
Key Academic
Vocabulary
+
–
Integer
negative
positive
rational
zero
1. opposite
2. point
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Common Core Curriculum Map 2012-2013
6.NS.6c 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
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.7a Understand ordering and absolute value of
rational numbers.
a. Interpret statements of inequality as
statements about the relative position of two
numbers on a number line diagram
1. How will I use an observation is (e.g. sample size, n
size) and how it relates to numerical data sets?
2. How will I explain why the number of observations is
important to summarizing numerical data sets?
6.NS.7b Understand ordering and absolute value of
rational numbers.
b. Write, interpret, and explain statements of
order for rational numbers in real-world contexts.
1. How will I determine how data was collect and justify the
appropriateness of the process used for data collection?
2. How will I determine the importance of the units used in
the data sets?
1. 1st Quartile
(Q1)
2. 2nd Quartile
(Q2)
3. 3rd Quartile
(Q3)
4. 4th Quartile
(Q4)
5. Box plot (boxand-whisker)
6. distribution
7. dot plot (line
plot)
8. histogram
9. Interquartile
range
10. upper quartile,
lower quartile
median
11. upper
12. endpoint (upper
extreme)
13. lower endpoint
(lower extreme)
1. data set
2. observation
3. sample size
1. abbreviations
for common
measurements
2. attribute
3. characteristic
4. investigation
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Common Core Curriculum Map 2012-2013
6.NS.7c Understand ordering and absolute value of
rational numbers.
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 real-world
situation.
6.NS.7d Understand ordering and absolute value of
rational numbers.
d. Distinguish comparisons of absolute value
from statements about order
1. How will I use absolute value to describe a number’s
distance from zero on a number line?
2. How will I determine that absolute value in a real-world
context refers to the positive value of a number?
3. How will I determine when quantities may have a
negative value based on context (e.g., below, debt,
behind, etc.)?
1. How will I model that as the value on a negative rational
number decreases, its absolute value increases?
2. How will I order rational numbers based on their
magnitude?
1. lxl
2. l−xl
3. absolute value
6.NS.8 Solve real-world 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.
1. How will I determine the distance from a line segment
from one coordinate pair to another?
2. How will I determine if two coordinates lie on the same
line by the x and y value of the coordinates?
3. How will I use the absolute value to determine the
distance from a point on a coordinate plane?
4. How will I use the coordinate plane to represent real
world contexts (e.g. streets)?
1. coordinate
plane
2. coordinate
3. point
Suggested Resources by Unit
1. value
2. decrease
3. ncrease
Location of these resources
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Common Core Curriculum Map 2012-2013
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