CCSS.Math.Content.7.NS.A.3
The standard
Solve real-world and mathematical problems involving the four operations with rational numbers.
Common Core State Standards for Mathematics · The Number System
What this standard means
Students need to solve problems that mix positive and negative whole numbers, fractions, and decimals. They must choose the right operation, carry it out accurately, and explain what the answer means in context.
Mastery looks like setting up a correct expression from a situation, keeping track of signs, and checking if the answer makes sense. Students often get stuck translating words into operations, dividing fractions, and deciding whether a negative answer is reasonable.
Ways to teach it
- Use red and black counters to model a bank account with deposits, withdrawals, debts, and payments, then write matching rational number expressions.
- Ask students to write a one-paragraph explanation of how they solved a temperature change problem involving negative decimals.
- Give a four-question exit ticket with one integer, one fraction, one decimal, and one mixed-operation word problem.
- Have students compare two phone plans with fees, credits, and overage charges, then decide which plan costs less.
Plan a lesson for CCSS.Math.Content.7.NS.A.3
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Related standards
- CCSS.Math.Content.4.OA.A
Use the four operations with whole numbers to solve problems.
- CCSS.Math.Content.7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), usi...
- CCSS.Math.Content.7.NS.A
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
- CCSS.Math.Content.3.OA.D
Solve problems involving the four operations, and identify and explain patterns in arithmetic.