CCSS.Math.Content.7.NS.A.2c
The standard
Apply properties of operations as strategies to multiply and divide rational numbers.
Common Core State Standards for Mathematics
What this standard means
Students need to use properties like commutative, associative, distributive, and inverse operations to make multiplying and dividing rational numbers easier. They should work with positive and negative fractions, decimals, and integers, not just memorize sign rules.
Mastery looks like choosing a useful strategy, explaining why it works, and keeping signs correct. Students often get stuck when division becomes multiplication by the reciprocal, or when a negative sign is attached to a fraction. They may also overuse one rule instead of looking for structure.
Ways to teach it
- Hands-on activity: Give pairs integer chips and fraction cards to model products like -2 × 3/4 and compare results to written rules.
- Prompt: Ask students to explain two ways to solve -3/5 × 10 × -2, then decide which way is more efficient.
- Quick assessment: Put four expressions on the board and have students name the property used before solving each one.
- Real-world connection: Use bank deposits, withdrawals, and repeated fees to write multiplication expressions with positive and negative rational numbers.
Plan a lesson for CCSS.Math.Content.7.NS.A.2c
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- CCSS.Math.Content.3.OA.B.5
Apply properties of operations as strategies to multiply and divide.
- CCSS.Math.Content.7.NS.A.1d
Apply properties of operations as strategies to add and subtract rational numbers.
- CCSS.Math.Content.1.OA.B.3
Apply properties of operations as strategies to add and subtract.