Unit Rates and Fraction Operations

Mrs. Groovy Groves introduces a lesson on ratios and rates with fractions. The video covers several activities: calculating train speed using ratios, comparing running speeds of Lin and Noah, and scaling the Mona Lisa for a notebook cover. Each activity involves applying mathematical concepts such as unit rates, proportionality, and conversions.

What is the result of dividing 5 by 1/3 using the Keep Change Reciprocal method?

• 1/15

• 5

• 3

• 15

When dividing fractions, what is the first step in the Keep Change Reciprocal method?

• Add the fractions

• Multiply the fractions

• Subtract the fractions

• Keep the first fraction, change the division to multiplication, and flip the second fraction

If a train travels 7.5 kilometers in 6 minutes, how far does it travel in one minute?

• 1.25 kilometers

• 6 kilometers

• 0.75 kilometers

• 7.5 kilometers

What is the constant of proportionality (k) if a train travels 7.5 kilometers in 6 minutes?

• 2

• 1.25

• 0.8

• 1.5

Who runs faster based on their unit rates: Lin or Noah?

• Cannot be determined

• Both run at the same speed

• Noah

• Lin

What is the unit rate for Lin if she runs 2 and 3/4 miles in 2/5 of an hour?

• 6 and 7/8 miles per hour

• 5 miles per hour

• 7 miles per hour

• 6 miles per hour

What is the unit rate for Noah if he runs 8 and 2/3 miles in 4/3 of an hour?

• 5 miles per hour

• 8 miles per hour

• 7 miles per hour

• 6 and 1/2 miles per hour

What is the scale factor used to resize the Mona Lisa for a notebook cover?

• 1/3

• 1/4

• 1/2

• 1/5

How many inches is the original width of the Mona Lisa if it measures 2 and a half feet?

• 25 inches

• 15 inches

• 20 inches

• 30 inches

What is the converted height in inches of the Mona Lisa if it measures 1 and 3/4 feet?

• 20 inches

• 21 inches

• 18 inches

• 24 inches