Math 7 Week 6 Session 1: Rates and Word Problems

Vocabulary and key concepts from Math 7 Week 6 Session 1 regarding ratios, rates, and unit rates.

Ratio

A comparison of two quantities with the same kind of unit.

Rate

A ratio that compares two quantities with different kinds of units.

Unit Rate

A rate in which the second quantity or denominator is equal to $1$ unit.

Fraction form

A way to write a ratio, example: $\frac{3}{5}$.

Ratio form

A way to write a ratio using a colon, example: $3:5$, read as "3 to 5".

Ratio Example

$3$ boys for every $5$ girls, which may be written as $\frac{3}{5}$ or $3:5$.

Speed

Tells how far a person, vehicle, or moving object travels in a given amount of time.

Speed Example

Maria's car travels at $2\,km/h$ or $2\,kph$.

Denominator of a Unit Rate

In a unit rate, the denominator is always $1$, although the value of the rate is not always a whole number.