Georgia 7.NR.1.2
The Standard
Show and explain p + q as the number located a distance ∣q∣ from p, in the positive or negative direction, depending on whether q is positive or negative. Interpret sums of rational numbers by describing applicable situations.
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 model addition as movement from a starting point on a number line. They use the sign to choose direction and the absolute value to choose distance, then connect the sum to a situation.
What Mastery Looks Like
- Students correctly plot the starting number, use the second addend's magnitude as the distance, and choose direction from its sign. They explain the sum using a clear context such as temperature, money, or elevation.
Common Misconceptions
- Students may use the second addend as the endpoint instead of the distance to move. They may always move right, treat absolute value as negative, or ignore the starting value.
How to Assess It
- Exit ticket: Start at -2.5 and add -1.75. Mark the movement on a number line, find the sum, and describe a matching situation.
Lesson moves
Ways to Teach It
Tape a floor number line, give students start and addend cards, and have them stand, move, and explain each sum.
Ask students to explain how a temperature of 3 degrees changes after a decrease of 5.5 degrees, using words and a number line.
Play Number Line Draw: students draw two rational number cards, model the sum, and earn a point for a correct explanation.
Give students a bank statement with deposits and withdrawals, then have them model each balance change on a number line.
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Printable 7.NR.1.2 Worksheet
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Solve problems by writing and solving equations of the form x + p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers.
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