 In this series, division is taught as another way to write multiplication when one of the factors is missing, or the inverse of multiplication.

Division: Single Digit

In this lesson, division is illustrated using an array. In learning multiplication with arrays, students started with an array and transferred the units to a Place Value Table to create the result of multiplication and represent it in decimal notation.

In this lesson, division is illustrated by starting with a single digit number shown as single units. The student then creates an array using the known factor, the divisor, as one of the sides of the array. When the units are partitioned across the columns of the array, the number of rows created is the quotient.

Students use this reasoning to divide single digit numbers by single digit numbers.

Division: Single Digit with Remainder

In this lesson, division is again illustrated for division of single digit numbers using an array, starting with a number in single units. The student then creates an array by distributing the units across the columns of the array in the lesson before. In this case, however, when the distribution is completed, the final row is not complete. Students learn that the units in the partial row are the remainder.

Two Digit

In this lesson, division is illustrated by starting with a two-digit number to 18, shown as single units. The student then creates an array using the known factor, the divisor, as one of the sides of the array. When the units are partitioned across the columns of the array, the number of rows created is the quotient.

Two Digit with Remainder

In this lesson, division is again illustrated for division of two-digit numbers to 18 using an array, starting with a number in single units. The student then creates an array by distributing the units across the columns of the array in the lesson before. In this case, however, when the distribution is completed, the final row is not complete. Students learn that the units in the partial row are the remainder.

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