--- title: "6.NR.1: Whole Number & Fraction Operations (Georgia Mathematics standard)" code: 6.NR.1 cite_as: Georgia Standards of Excellence, Mathematics, 6.NR.1 subject: math grades: - grade-6 language: en canonical_url: https://georgiahomeroom.org/standards/code/6.NR.1 md_url: https://georgiahomeroom.org/standards/code/6.NR.1.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/6.NR.1.md source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180 source_last_changed: 2024-10-09 data_built: 2026-09-18 publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district. up: https://georgiahomeroom.org/standards/math/grade-6.md index: https://georgiahomeroom.org/standards/index.md --- # 6.NR.1: Whole Number & Fraction Operations Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers. - Subject: Mathematics - Appears in: Grade 6, https://georgiahomeroom.org/standards/math/grade-6.md ## Expectations - **6.NR.1.1**: Fluently add and subtract any combination of fractions to solve problems. - **6.NR.1.2**: Multiply and divide any combination of whole numbers, fractions, and mixed numbers using a student-selected strategy. Interpret products and quotients of fractions and solve word problems. - **6.NR.1.3**: Perform operations with multi-digit decimal numbers fluently using models and student-selected strategies ## Georgia Milestones coverage - Mathematics Grade 6 (EOG). Numerical Reasoning. Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers. (about 10% of the test; 6 points) ## What mastery looks like Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level. - **Beginning**: Given a visual representation, perform an operation with multi-digit decimal numbers. - **Developing**: Add or subtract any combination of fractions. Multiply or divide any combination of whole numbers, fractions, or mixed numbers. Perform operations with multi-digit decimal numbers. - **Proficient**: Add and subtract any combination of fractions to solve relevant problems. Multiply and divide any combination of whole numbers, fractions, and mixed numbers to solve and interpret relevant problems. Perform operations with multi-digit decimal numbers to solve relevant problems. - **Distinguished**: Solve and interpret realistic complex or multi-step problems involving any combination of whole numbers and fractions or any combination of decimals. ## The same standard across grades - Kindergarten, K.NR.1: Demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set). https://georgiahomeroom.org/standards/code/K.NR.1.md - Grade 1, 1.NR.1: Extend the count sequence to 120. Read, write, and represent numerical values to 120 and compare numerical values to 100. https://georgiahomeroom.org/standards/code/1.NR.1.md - Grade 2, 2.NR.1: Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and structures. https://georgiahomeroom.org/standards/code/2.NR.1.md - Grade 3, 3.NR.1: Use place value reasoning to represent, read, write, and compare numerical values up to 10,000 and round whole numbers up to 1,000. https://georgiahomeroom.org/standards/code/3.NR.1.md - Grade 4, 4.NR.1: Recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place and compare decimal numbers to the hundredths place. https://georgiahomeroom.org/standards/code/4.NR.1.md - Grade 5, 5.NR.1: Use place value understanding to solve real-life, mathematical problems. https://georgiahomeroom.org/standards/code/5.NR.1.md - **Grade 6, 6.NR.1 (this standard)**: Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers. - Grade 7, 7.NR.1: 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). https://georgiahomeroom.org/standards/code/7.NR.1.md - Grade 8, 8.NR.1: Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications. https://georgiahomeroom.org/standards/code/8.NR.1.md Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.