Answer key: Decimal Equation Patterns
Companion answer key for the printable worksheet "Decimal Equation Patterns" — Common Core CCSS.MATH.5.NBT.A.3, Medium difficulty. Use it to spot-check during the lesson or grade afterward.
Sample answers
| # | Question type | Sample answer |
|---|---|---|
| 1 | 6.1 + 2.5 | 8.6 |
| 2 | 9.3 + 2.4 | 11.7 |
| 3 | 2.8 + 4 | 6.8 |
| 4 | 7.5 + 6.6 | 14.1 |
| 5 | 6.5 + 7.3 | 13.8 |
| 6 | 4.7 + 3.5 | 8.2 |
| 7 | 7.8 + 4 | 11.8 |
| 8 | 6 + 4.6 | 10.6 |
How to grade this worksheet
This answer key is intentionally short — eight items or fewer — so you can spot-check during the lesson rather than waiting until the end. For Math worksheets at the medium level, we recommend the following grading flow.
- Pencil-only spot check. Walk by every five minutes and circle (lightly) any item that looks off. Do not announce the score.
- Self-grade. When the student finishes, hand them this answer key and let them grade their own work in pen. Self-grading produces about 30% better retention than parent-grading at this age.
- Two-question debrief. Pick the two items they missed and ask: "Walk me through what you tried." Their explanation usually reveals whether it was a careless error or a genuine concept gap.
- Log the score. Note the score, the date, and the standard code (
CCSS.MATH.5.NBT.A.3) in your portfolio. Three data points across a month is enough to know if the standard is mastered.
If the student misses more than half of the items, do not reteach the same way. Switch modalities — manipulatives, a drawn diagram, a verbal walk-through — and revisit a fresh worksheet on the same standard the next morning.