CCSS.Math.Content.6.NS.C.7b
The standard
Write, interpret, and explain statements of order for rational numbers in real-world contexts.
Common Core State Standards for Mathematics
What this standard means
Students need to compare positive and negative rational numbers using inequality symbols, then explain what the comparison means in a real situation. They should connect the symbol to context, such as temperature, elevation, debt, or sports scores, not just say which number is bigger.
Mastery looks like writing a true inequality, reading it correctly, and explaining it with the context attached. Students often get stuck thinking the number with the larger absolute value is always greater. They also mix up “greater” with “better,” such as thinking a greater debt is better because the number is larger.
Ways to teach it
- Have students place temperature cards on a floor number line, then write and explain three inequalities comparing warmer and colder temperatures.
- Prompt students to explain which is greater, minus 12 dollars or minus 5 dollars, and what that means for money owed.
- Give four real-world pairs, such as elevations and account balances, and ask students to write the correct inequality for each.
- Use weather app screenshots from two cities and ask students to compare the temperatures with an inequality and a sentence.
Plan a lesson for CCSS.Math.Content.6.NS.C.7b
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Related standards
- CCSS.Math.Content.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
- CCSS.Math.Content.6.NS.C.7
Understand ordering and absolute value of rational numbers.
- CCSS.Math.Content.5.OA.A
Write and interpret numerical expressions.
- CCSS.Math.Content.6.NS.C
Apply and extend previous understandings of numbers to the system of rational numbers.