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
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare positive and negative rational numbers in situations such as temperatures, debts, and elevations. They use inequality symbols and explain what each comparison means in context.
What Mastery Looks Like
- A student correctly compares decimals, fractions, and negative numbers in a given situation. The student writes the correct inequality and explains it using the context and units.
Common Misconceptions
- Students may think −8 is greater than −3 because 8 is greater than 3. They may reverse < and > or ignore what greater means for debt, temperature, or elevation.
How to Assess It
- Exit ticket: At noon, Town A is −2°C and Town B is −6°C. Write an inequality and explain which town is warmer.
Lesson moves
Ways to Teach It
Place temperature and bank balance cards on a floor number line, then write an inequality for each pair and explain its meaning.
Ask, "Which is greater, a $6 debt or a $2 debt, and what does greater mean here?" Students defend answers in writing.
Students draw two rational-number cards, choose < or >, and earn a point only after giving a correct contextual explanation.
Give students a weather map with city temperatures and have them write three inequalities comparing which locations are warmer or colder.
Free download
Printable 6.NS.C.7b Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.6.NS.C.7b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.NS.C.5
Understanding positive and negative quantities and zero anchors real-world comparisons and order statements for rational numbers.
- CCSS.Math.Content.6.NS.C.7a
Number line positions give students the left-right meaning of inequalities needed to order rational numbers in contexts.
- CCSS.Math.Content.6.NS.C.6
Placing positive and negative rational numbers on a number line supports comparing their order in real-world situations.
Keep exploring
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.
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