7 th Grade
Adding and
Subtracting Integers
Module 1
The Destination
Standards
that a number added to its inverse
7.NS.A.1
7.NS.A.3
Add and subtract integers and
represent on a number line.
Solve real-world problems with integer
addition and subtraction.
In this module students will be introduced to
addition and subtraction of integers (whole numbers
and their opposites). Students should represent
addition and subtraction using both the vertical and
horizontal number lines. Through the use of integer
equals zero (Additive Inverse) and that
subtraction is the same as adding the
opposite. Students will investigate if
whole number properties such as the
Commutative and Associative Properties
apply to integers. Problems involving
temperature and distance are two
examples of real-world problems that will
aid in solidifying their understanding of
how integers work.
chips and the number line students will discover
Must-See-Attractions
Subtraction on the Number Line
Models
Subtraction is often thought of as
Another method would be to
“take away”. Students may resort to
subtract 15 to get to zero and then
counting by ones, but they can
subtract the remaining 13.
count back more efficiently using
(ones)
compatible numbers such as 5s and
 Number lines
10s. They can subtract by
partitioning -- breaking apart the
second number (minuend). There
are a variety of ways to break down
3 – (-17)
Subtraction is the difference
the second number so that
between two quantities. This can
counting is easier.
be demonstrated on the number
15 - 28
 Number bonds
 Integer chips
 Algebra tiles
line by finding the distance
between those two numbers.
Related Places to Visit
Coordinate Graphing
1. On a coordinate grid, graph the following points: R(−2,0), E(2,0), A(2, −4),
D(−2, −4). Name the quadrilateral and find its perimeter and area.
2. On a coordinate grid, graph the following points: A(−5, 2), B(4, 2). Write
the coordinates of points C and D to create rectangle ABCD with a
perimeter of 34 units.
Data
Chicago Temperatures (℉)
Summer
80
75
82
93
95
95
100
Winter
12
23
-3
32
-7
32
10
Create two line plots, one for the summer temperatures and one for the winter temperatures.
Compare the medians.
Compare the ranges.
EXIT
PARCC
Justify Your Thinking
Two friends are deep sea diving. Rodrigo is 15
meters below sea level. Tomas is 8 meters
away from Rodrigo. Rodrigo takes 72 seconds
Measurement
An airplane was cruising at 25,000 feet when
to return to the surface. Tomas takes 1
minute and 3 seconds.
a)
it hit an air pocket which caused it to
How far from the surface is Tomas?
Show how you know.
descend 45 yards. The pilot then ascended 350
feet. Has the plane reached its maximum
b)
Compare their rates.
altitude of 26,000 feet? If not, how much
more does the plane need to ascend or
descend?
SMP