Third Grade · Math · week 14

The ×8 facts as double-double-double

Master ×8 facts by doubling three times.

Eight groups is double-double-double. To find 8 × 6: double 6 → 12, double 12 → 24, double 24 → 48. Three quick doubles crack the whole ×8 table.

This works because 8 = 2 × 2 × 2. Each doubling multiplies by another 2.

📋 For the teacher
Teach it (10–15 min):
  • Make sure doubling to 64 is smooth — the third double is where slips happen.
  • Write the chain of three numbers so no step gets skipped.
  • Connect to ×4: ×8 is just one more double than ×4.
  • All ×8 answers are even — a fast sanity check.
Talk about it:
  • What does double-double-double mean?
  • How is ×8 related to ×4?
  • Where do most mistakes happen in the chain?

Mastery looks like: They find ×8 facts by doubling three times with an accurate chain.

Common stumbles: Stopping after two doubles (that is ×4); an error in the middle double.

See it visually

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

MultiplicationEqual groups and arrays make products finally click.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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