Georgia 7.NR.1.3
The Standard
Represent addition and subtraction with rational numbers on a horizontal or a vertical number line diagram to solve authentic problems.
Georgia's K-12 Mathematics Standards · Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn gains, losses, rises, and drops into movements from a starting value. They use labeled arrows and endpoints to solve and interpret rational number problems.
What Mastery Looks Like
- Students choose a useful scale, plot the starting value, and draw an arrow in the correct direction. They label the endpoint and explain what it means in the problem.
Common Misconceptions
- Students may always move left when subtracting, even when subtracting a negative number. They may start at zero instead of the first number, reverse up and down, or use unequal intervals.
How to Assess It
- Exit ticket: A diver is at −3.5 meters and descends 2.25 meters. Draw a vertical number line, label the movement, and state the final depth.
Lesson moves
Ways to Teach It
Use painter's tape to build floor and wall number lines, then have students model signed decimal move cards in both orientations.
Ask students to compare two diagrams for −3.5 + 5 and explain why both reach the same endpoint.
Play Number Line Relay: teams draw and solve one rational number move before passing the marker to the next student.
Give an elevator movement log with basement levels, then have students create a vertical diagram and find the final floor.
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Printable 7.NR.1.3 Worksheet
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Related Standards
- 6.NR.3
Solve a variety of problems involving whole numbers and their opposites; model rational numbers on a number line to describe problems presented in relevant, mat...
- 6.PAR.8.1
Locate and position rational numbers on a horizontal or vertical number line; find and position pairs of integers and other rational numbers on a coordinate pla...
- 7.NR.1.5
Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.
- 2.MDR.5.5
Represent whole-number sums and differences within a standard unit of measurement on a number line diagram.
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