Curriculum › Grade 3 › Mathematics

Know Your Facts by Heart

  • Grade 3
  • Mathematics
  • 3.OA.C.7
  • Operations & Algebraic Thinking
  • Free lesson

Aligned to 3.OA.C.7 — Common Core State Standards for Mathematics.

What this lesson teaches

Multiplication and division are opposites. If you know one fact, you know its family. Practice helps you remember them fast.

Worked examples

Example 1

You know 6 × 8 = 48. That means 48 ÷ 8 = 6 and 48 ÷ 6 = 8 too. One fact family gives you four facts.

Example 2

You know 7 × 9 = 63. That gives you 9 × 7 = 63, 63 ÷ 9 = 7, and 63 ÷ 7 = 9 for free.

Example 3

The squares are worth memorizing on their own: 6 × 6 = 36, 7 × 7 = 49, 8 × 8 = 64. Their fact family only has two facts, not four.

Practice questions

  1. Solve 9 × 4.
  2. Solve 63 ÷ 7.
  3. Write all four facts in the family for 5 and 8.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

▶ Watch this lesson

En español

Aprende tus Hechos de Memoria

La multiplicación y la división son opuestas. Si sabes un hecho, conoces toda su familia. Practicar te ayuda a recordarlos rápido.

Ejemplo 1: Sabes que 6 × 8 = 48. Eso significa que 48 ÷ 8 = 6 y también 48 ÷ 6 = 8. Una familia de hechos te da cuatro hechos.

Ejemplo 2: Sabes que 7 × 9 = 63. Eso te da gratis 9 × 7 = 63, 63 ÷ 9 = 7 y 63 ÷ 7 = 9.

Ejemplo 3: Vale la pena memorizar los cuadrados aparte: 6 × 6 = 36, 7 × 7 = 49, 8 × 8 = 64. Su familia de hechos solo tiene dos, no cuatro.

More Operations & Algebraic Thinking lessons

Multiplication and Division within 1003.OA.A.3Multiply with Equal Groups3.OA.A.1Divide into Equal Shares3.OA.A.2Find the Missing Number3.OA.A.4Smart Ways to Multiply3.OA.B.5Division as a Missing Factor3.OA.B.6

Teach this lesson today

An AI tutor that guides with questions instead of just giving answers — all K–12 core subjects, every child in the family.

Start free — no card required