Seventh Grade · Math · week 18

Checkpoint: rational number operations

Review and demonstrate mastery of adding, subtracting, multiplying, and dividing signed numbers, decimal classification, order of operations, and real-world applications from weeks 10-17.

This checkpoint pulls together the whole rational-numbers toolkit: the four operations with negatives, converting between fraction/decimal/percent, classifying decimals as terminating or repeating, order of operations, and real-world signed-number stories.

Work through the mixed set below at a steady pace. A checkpoint is about showing your best, careful work, not your fastest work.

📋 For the teacher
Teach it (10–15 min):
  • Use this week to diagnose, not just drill -- let them try each problem type once, cold, before coaching.
  • If sign errors are common, return to week 11's "same signs positive, different signs negative" rule.
  • If order of operations trips them up, re-anchor with week 14's "rewrite subtraction as adding the opposite first" habit.
  • If decimal classification feels shaky, revisit factoring the denominator from week 13.
Talk about it:
  • Which signed-number operation still needs the most practice for you?
  • How do you decide whether a fraction terminates or repeats, without doing long division?
  • What is your best strategy for catching a sign mistake before it wrecks the whole problem?

Mastery looks like: They correctly solve a mixed set covering all four signed-number operations, decimal classification, and real-world applications with minimal hints.

Common stumbles: Treating the checkpoint as brand-new material and rushing, instead of applying the specific habit each problem type calls for.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

MultiplicationEqual groups and arrays make products finally click.try →SubtractionTake away and count back, step by step.try →AdditionSee groups combine — with counters, blocks, and the number line.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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