Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.

Property

To write a division equation from a tape diagram, identify the total amount (the dividend) and what it is being divided by (the divisor). The equation follows the format:

Examples

Property

To write a division story for an expression like $a \div b$, identify the total amount (the dividend, $a$) and what it is being divided by (the divisor, $b$). The story should ask a question where the answer is the quotient. The question will either be "How many groups of size $b$ are in $a$?" or "What is the size of each group if $a$ is shared into $b$ groups?"

Examples

Property

To model division $a \div b$, the dividend $a$ represents the total value of the tape diagram. The divisor $b$ determines how the tape is partitioned: if $b$ is a whole number, you divide the tape into $b$ equal groups; if $b$ is a unit fraction $\frac{1}{d}$, you partition each whole unit into $d$ equal parts.

Examples