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Read simple arrays

A simple array is a rectangular arrangement of objects in equal rows and equal columns; its total can be determined by counting across each row, skip-counting rows, or adding equal row amounts. The learner connects the number of rows, the number in each row, and the total, while distinguishing these dimensions rather than counting the arrangement as one undifferentiated collection. Formal multiplication algorithms, larger or irregular arrays, and generalized factor reasoning are not included.

Detailed Explanation: Read simple arrays

An array has objects lined up in equal rows and equal columns.

  • A row goes across.
  • A column goes up and down.
  • Count how many objects are in one row.
  • Count how many rows there are.
  • Then count the equal rows to find the total.

Example: How many dots are in the array?

∙∙∙∙∙∙∙∙∙∙∙∙\begin{array}{cccc} \bullet & \bullet & \bullet & \bullet\\ \bullet & \bullet & \bullet & \bullet\\ \bullet & \bullet & \bullet & \bullet \end{array}
  1. Count across one row: there are 44 dots.
  2. Count the rows: there are 33 rows.
  3. Each row has 44 dots, so count by equal groups:
4+4+4=124+4+4=12

There are 1212 dots in the array.

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