Grado 3What Multiplication Means3.OA.A.1

Arrays

Rows and columns of objects show a multiplication.

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Esta lección aún no está traducida. Por ahora se muestra en inglés; la versión en español está en camino.

An array is equal groups lined up in rows. Every row has the same number, like seats in a theater or eggs in a carton.

4 rows with 6 dots in each row. Each row is one equal group.

Por qué funciona

Each row is a group, and every row is the same size. So an array with 4 rows of 6 is 4 groups of 6, which is $4 \times 6$. You can count by rows instead of by dots: 6, 12, 18, 24.

Idea clave

An array with $r$ rows and $c$ in each row shows $r \times c$. Rows go across; columns go up and down.

Ejemplo resuelto: Count by rows

How many dots are in an array with 4 rows of 6?
  1. Each row has 6. There are 4 rows.
  2. Count by 6s, one count for each row: 6, 12, 18, 24.
  3. So $4 \times 6 = 24$.

Respuesta: $24$ dots

Ejemplo resuelto: Seats

A theater has 7 rows with 5 seats in each row. How many seats?
  1. 7 rows of 5 is $7 \times 5$.
  2. Count by 5s seven times: 5, 10, 15, 20, 25, 30, 35.

Respuesta: $35$ seats

Error común

Counting every dot one by one. It works for small arrays, but it is slow and easy to lose your place. Find the size of one row, then count by that number once for each row.
Drag the gold corner (or use the buttons) to make an array with 24 dots. Is there more than one way?

Práctica

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Fuentes y lecturas

  • Common Core State Standards for Mathematics, Grade 3, 3.OA.A.1 (interpret products, for example as arrays)
  • Common Core State Standards for Mathematics, Grade 3, 3.OA.A.3 (arrays in word problems)