Third Grade · Math · week 15

The ×9 finger trick and patterns

Master ×9 facts using the digit patterns and the ten-minus-one idea.

The ×9 facts hide two neat patterns. First, the two digits of the answer always add to 9: 9 × 4 = 36, and 3 + 6 = 9. Second, the tens digit is always one less than the number you multiplied by (9 × 4 → tens digit 3).

Another trick: 9 × 6 is the same as (10 × 6) − 6 = 60 − 6 = 54. Nine groups is ten groups minus one group.

📋 For the teacher
Teach it (10–15 min):
  • Show both patterns and let them pick a favorite — either one works.
  • Use ten-minus-one as the main method; it also builds subtraction.
  • Use the "digits add to 9" trick only as a CHECK, not the main solve.
  • List all the ×9 answers to see the tens go up and ones go down.
Talk about it:
  • What do the two digits of a ×9 answer always add to?
  • How does 10 × 6 help you find 9 × 6?
  • Which ×9 trick do you like best?

Mastery looks like: They find ×9 facts using ten-minus-one and verify with the digit-sum pattern.

Common stumbles: Forgetting to subtract the one group; leaning only on the finger trick without understanding.

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 →
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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