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Number Patterns

  • Grade 3
  • Mathematics
  • 3.OA.D.9
  • Operations & Algebraic Thinking
  • Free lesson

Aligned to 3.OA.D.9 — Common Core State Standards for Mathematics.

What this lesson teaches

Numbers make patterns you can see. Even and odd numbers take turns, and skip-counting numbers grow by the same jump each time.

Worked examples

Example 1

Count by 5s: 5, 10, 15, 20, 25. Each number is 5 more than the one before. Look at the ones digit: it is always 0 or 5.

Example 2

Count by 9s: 9, 18, 27, 36, 45. Add the two digits of each one — 9, 9, 9, 9, 9. Every multiple of 9 has digits that add to 9.

Example 3

An even number times any number is always even: 4 × 7 = 28. You can never get an odd answer out of an even group.

Practice questions

  1. Write the next three numbers: 4, 8, 12, __, __, __.
  2. Are the multiples of 2 all even or all odd? Explain.
  3. What jump makes this pattern: 6, 12, 18, 24?

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.

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En español

Patrones de Números

Los números forman patrones que puedes ver. Los números pares e impares se turnan, y al contar salteado crecen con el mismo salto cada vez.

Ejemplo 1: Cuenta de 5 en 5: 5, 10, 15, 20, 25. Cada número es 5 más que el anterior. Mira el dígito de las unidades: siempre es 0 o 5.

Ejemplo 2: Cuenta de 9 en 9: 9, 18, 27, 36, 45. Suma los dos dígitos de cada uno — 9, 9, 9, 9, 9. Los múltiplos de 9 tienen dígitos que suman 9.

Ejemplo 3: Un número par por cualquier número siempre da par: 4 × 7 = 28. Nunca sale una respuesta impar de un grupo par.

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

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