Georgia 6.NR.1.1
The Standard
Fluently add and subtract any combination of fractions to solve problems.
Georgia's K-12 Mathematics Standards · Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find sums and differences with proper fractions, improper fractions, and mixed numbers. They use common denominators, regroup when needed, and simplify their answers.
What Mastery Looks Like
- Students choose a common denominator, rename fractions, and calculate accurately. They simplify answers and use estimates to check whether results are reasonable.
Common Misconceptions
- Students may add or subtract denominators instead of finding a common denominator. They may also forget to regroup mixed numbers or simplify the final fraction.
How to Assess It
- Use this exit ticket: “A container has 5 1/2 liters. You use 1 3/4 liters, then add 2/3 liter. How much remains? Show your work.”
Lesson moves
Ways to Teach It
Build 2 1/3 and 1 3/4 with fraction strips, combine the pieces using twelfths, and record the matching equation.
Discuss the error in 3/4 plus 2/5 equals 5/9, then write a correction that explains the denominator choice.
Draw fraction and operation cards, solve each combination, and earn a point when an estimate confirms the exact answer.
Adjust a recipe that uses 2 1/4 cups of flour by adding 3/4 cup, then subtracting 1/3 cup for a smaller batch.
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Printable 6.NR.1.1 Worksheet
A ready-to-print activity worksheet aligned to 6.NR.1.1, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- 2.NR.2.4
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- 1.NR.2.4
Fluently add and subtract within 10 using a variety of strategies.
- K.NR.5.4
Fluently add and subtract within 5 using a variety of strategies to solve practical, mathematical problems.
- 3.PAR.2.1
Fluently add and subtract within 1000 to solve problems.
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