CCSS.Math.Content.7.NS.A
The standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Common Core State Standards for Mathematics
What this standard means
Students need to work with positive and negative rational numbers in all four operations. That includes integers, fractions, and decimals. They should know when to use each operation, not just follow rules. They also need to connect models, number lines, equations, and word problems.
Mastery looks like choosing the right operation, keeping track of signs, and explaining why an answer makes sense. Students often mix up sign rules, especially with subtraction and division. Fractions with negatives can also cause trouble. Many errors come from weak fraction skills, not the negative signs themselves.
Ways to teach it
- Use red and black counters to model integer addition and subtraction, then connect each model to a matching equation.
- Ask students to write two word problems that both use negative fractions, one for multiplication and one for division.
- Give four mixed rational number problems on a half sheet, and have students circle the sign of each answer before solving.
- Use bank deposits, withdrawals, debts, and account balances to build problems with positive and negative decimals.
Plan a lesson for CCSS.Math.Content.7.NS.A
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Related standards
- CCSS.Math.Content.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- CCSS.Math.Content.6.NS.C
Apply and extend previous understandings of numbers to the system of rational numbers.
- CCSS.Math.Content.6.NS.A
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
- CCSS.Math.Content.5.NF.B
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.