Georgia 7.NR.1
Georgia Standard (Expectation Cluster)
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).
Georgia's K-12 Mathematics Standards
Cluster contents
Expectations in This Standard
7.NR.1 is a Georgia mathematics standard. These are the expectations under it.
- 7.NR.1.1
Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0.
- 7.NR.1.10
Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that th...
- 7.NR.1.11
Solve multi-step, contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using men...
- 7.NR.1.2
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. Inter...
- 7.NR.1.3
Represent addition and subtraction with rational numbers on a horizontal or a vertical number line diagram to solve authentic problems.
- 7.NR.1.4
Show and explain subtraction of rational numbers as adding the additive inverse, p − q − p + (−q). Show that the distance between two rational numbers on the nu...
- 7.NR.1.5
Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.
- 7.NR.1.6
Make sense of multiplication of rational numbers using realistic applications.
- 7.NR.1.7
Show and explain that integers can be divided, assuming the divisor is not zero, and every quotient of integers is a rational number.
- 7.NR.1.8
Represent the multiplication and division of integers using a variety of strategies and interpret products and quotients of rational numbers by describing them ...
- 7.NR.1.9
Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario.
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students choose and carry out the operations needed to solve multistep problems with positive and negative rational numbers. They convert among fractions, decimals, and percentages when useful, then interpret the answer in context.
What Mastery Looks Like
- A student can write an expression from a context, complete each operation accurately, and label the answer with correct units. The student estimates or uses an inverse operation to check whether the result is reasonable.
Common Misconceptions
- Students often lose negative signs when subtracting or apply sign rules for multiplication to addition. They may treat 20% as 20, convert fractions and decimals incorrectly, or perform operations in the order written.
How to Assess It
- Give this exit ticket: “A club has $72.50, spends 20% on supplies, then splits the remaining money among five teams. How much does each team receive?”
Lesson moves
Ways to Teach It
Give groups transaction cards showing deposits, debts, fractional fees, and percent discounts, then have them calculate and explain a running account balance.
Ask students to compare two solutions to a multistep percent problem and write which method is clearer and why.
Run an expression match game where students pair situation cards with expressions, solutions, and cards identifying likely calculation errors.
Have students plan a class snack budget using decimal prices, a percent coupon, sales tax, and equal cost sharing.
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Printable 7.NR.1 Worksheet
A ready-to-print activity worksheet aligned to 7.NR.1, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NR.2.5
Solve multi-step problems using addition, subtraction, multiplication, and division involving whole numbers. Use mental computation and estimation strategies to...
- 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.NR.1
Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers.
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