Question

6.) jasmine has given herself 5 hours to watch episodes of a streaming television show, and each episode lasts $\frac{1}{2}$ an hour. how many episodes can she watch?

complete the visual model below to find the quotient of $5 div \frac{1}{2}$, then write the answer in a complete sentence.

1 1 1 1 1
$\frac{1}{2}$

criteria for success
$square$ represent the dividend with a visual model
$square$ identify the unit fraction that is used to build the divisor
$square$ partition the dividend into pieces the size of the unit fraction
$square$ determine how many full and partial copies of the divisor fill the modeled dividend

Explanation:

Step1: Split each hour into halves

Each block labeled 1 represents 1 hour. Split each into 2 equal parts of $\frac{1}{2}$ hour:
Each 1 hour = $2 \times \frac{1}{2}$ hour

Step2: Count total half-hour pieces

There are 5 hour blocks. Total pieces: $5 \times 2 = 10$

Step3: Match to episode length

Each episode is $\frac{1}{2}$ hour, so each piece = 1 episode.

Answer:

Jasmine can watch 10 episodes in 5 hours.

Visual Model Completion (implied):

Divide each of the 5 large blocks (each representing 1 hour) into 2 equal smaller blocks (each representing $\frac{1}{2}$ hour). This results in 10 total smaller blocks, which corresponds to 10 episodes.