 # Add & Subtract Rational Numbers

Related Topics:
Common Core for Mathematics
Lesson Plans and Worksheets for all Grades

Examples, solutions, worksheets, videos, 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.

Apply properties of operations as strategies to add and subtract rational numbers.

Common Core: 7.NS.1d

### Suggested Learning Targets

• I can identify properties of addition and subtraction.
• I can apply addition/subtraction properties to strategies to solve mathematical problems. (Note: Task may involve two or three rational numbers.)
Add and subtract rational numbers and understand subtraction of rational numbers (7.NS.1d)
The problem may include fractions, decimals, mixed numbers, positive integers, negative integers, or all of the above. Example:
The hottest temperature on the moon was 117°C. The coldest temperature on the moon was -163°C. What was the range between the highest lunar temperature and the lowest?

Example:
A squirrel climbed 15 meters up a tree, then 7 meters down, then 3 more meters down, and finally 11 meters up. What number sentence would represent this situation?
A. 15 + -7 + -3 + 11 =
B. -15 + -7 + -3 + 11 =
C. -15 + 7 + -3 + 11 =
D. 15 + 7 + 3 + 11 =
Grade 7 / Math / Number Sense
CCSS: Math.7.NS.A.1b Math.7.NS.A.1d
Lesson Objective
Students master integer addition using number lines as a visual tool

Zero Pairs, Manipulatives, and a Real-World Scenario
Grade 7 / Math / Integer Operations
CCSS: Math.7.NS.A.1c Math.7.NS.A.1d
Lesson Objective
Use manipulatives and zero pairs to understand integer subtraction

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