CCSS.Math.Content.7.NS.A.2b
The standard
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
Common Core State Standards for Mathematics
What this standard means
Students need to divide integers, know division by zero is not allowed, and see that any integer divided by a nonzero integer gives a rational number. They also need to understand that a negative fraction can be written with the negative sign in front, in the numerator, or in the denominator.
Mastery means students can compute quotients, rewrite equivalent negative forms, and explain what the answer means in a situation. Common trouble spots are sign errors, treating division by zero as zero, and thinking -3/4, 3/-4, and -(3/4) are different values.
Ways to teach it
- Use integer chips or number lines to model problems like -12 ÷ 3, 12 ÷ -3, and -12 ÷ -3.
- Prompt students to explain which forms match -5/8: (-5)/8, 5/(-8), and -(-5/8).
- Give a five-question exit ticket with integer division, one zero divisor item, and two equivalent negative fraction items.
- Ask students to write a story for -24 ÷ 6, such as losing money equally over six days.
Plan a lesson for CCSS.Math.Content.7.NS.A.2b
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.7.NS.A.1c
Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number l...
- CCSS.Math.Content.7.NS.A.2a
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, par...
- CCSS.Math.Content.7.NS.A.1b
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a ...
- CCSS.Math.Content.7.NS.A.2d
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.