Rational Numbers (Grade 7)
Videos,solutions, and lessons to help Grade 7 students learn how to apply and
extend previous understandings of addition and subtraction to add
and subtract rational numbers; represent addition and subtraction on
a horizontal or vertical number line diagram.
A. Describe situations in which opposite quantities combine to make
0. For example, a hydrogen atom has 0 charge because its
two constituents are oppositely charged
B. Understand p
number located a distance |q
| from p
, in the
positive or negative direction depending on whether q
positive or negative. Show that a number and its opposite have a sum
of 0 (are additive inverses). Interpret sums of rational numbers by
describing real-world contexts.
Common Core: 7.NS.1ab
Suggested Learning Targets
- I can add and subtract rational numbers (integers, fractions,
- I can explain that each rational number has an opposite that
adds to zero.
- I can describe real-world situations in which opposite
quantities add together to equal zero. (James was overdrawn in
his checking account by $25. He ran to the bank and deposited
$25 into his account. Explain why James's balance is now $0.)
- I can compute rational numbers
- I can use a number line to show that the 1st addend (p) and
the sum (p+q) represent location and the absolute value of the
2nd addend (q) represents distance traveled. (ex. Let p=7 &
|q|=3 so 7 + 3= 10 and 7 + -3 = 4. The distance from 7 and 10 is
3 and the distance from 7 and 4 is 3.)
- I can use a number line to demonstrate that the sum of a
number and its opposite is zero (ex. p + -p = 0, the distance
from p and 0 is |-p| or –p + p = 0, the distance from –p and
0 is the |p|).
- I can use real-world context to describe the sums of rational
numbers. (The result should indicate location and not the total
distance. Ex. Sandy is 22 miles from home. She traveled 10 miles
further from home. How far from home is she now? 22 + 10 = 32.
22 miles and 32 miles are the actual locations of Sandy and 10
miles is the distance traveled.)
- I can create real-world context to explain that the distance
between two numbers is the absolute value of the difference
between those numbers.
Common Core for
Lessons for Grade 7
Describe situations in which opposite quantities combine to make 0
In this lesson, you will learn the additive inverse by combining
Adding the Opposite.
Add Rational Numbers
The Common Core State Standards (CCSS) videos are designed to
support states, schools, and teachers in the implementation of the
CCSS. Each video is an audiovisual resource that focuses on one or
more specific standards and usually includes examples/illustrations
geared to enhancing understanding. The intent of each
content-focused video is to clarify the meaning of the individual
standard rather than to be a guide on how to teach each standard
although the examples can be adapted for instructional use.
Add Integers (same sign) using a Number Line
In this lesson, you will learn how to add integers with the same
sign by analyzing the rules using a number line.
Grade 7 / Math / Engagement
Add and subtract integers using a number line and a song with
Add Integers (different signs) using a Number Line
In this lesson, you will learn how to add integers with different
signs by analyzing the rules using a number line.
Add Integers using the Number Line
In this lesson, you will learn how to add integers by using a number
Add Integers using Color Counters
In this lesson, you will learn how to add integers by using color
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