Unit rates

Learning Objectives Define what a unit rate is and identify its components. Calculate unit rates from given ratios and rates. Compare different quantities by converting them to unit rates. Solve real-world problems involving unit rates, such as 'best buy' scenarios. Explain the importance of units when calculating and interpreting unit rates. Apply unit rates to predict outcomes or scale quantities proportionally. Ever wonder which deal is truly better at the grocery store, or how fast a car is really going? 🛒 Unit rates help us make sense of these comparisons! In this lesson, you'll learn what unit rates are, how to calculate them, and why they are incredibly useful for comparing different quantities in everyday life. Understanding unit rates is a fundament...

TermDefinitionExample RatioA comparison of two quantities by division. It can be written as a fraction, with a colon, or with the word 'to'.The ratio of 3 apples to 2 oranges can be written as 3/2, 3:2, or 3 to 2. RateA ratio that compares two quantities with different units.Driving 120 miles in 2 hours is a rate of 120 miles / 2 hours. UnitA standard quantity used to measure something, such as miles, hours, dollars, or ounces.In '120 miles in 2 hours', 'miles' and 'hours' are the units. Unit RateA rate in which the second quantity (denominator) is 1 unit. It tells you 'how much per one' of something.If you drive 120 miles in 2 hours, the unit rate is 60 miles per 1 hour (or 60 mph). NumeratorThe top number in a fraction or a rate, represe...

Calculating a Unit Rate \text{Unit Rate} = \frac{\text{Quantity 1}}{\text{Quantity 2}} \text{ where Quantity 2 is simplified to 1 unit} To find a unit rate, divide the first quantity by the second quantity. The goal is to express the rate with a denominator of 1. The units of the numerator will be 'per' the unit of the denominator. General Rate Formula \text{Rate} = \frac{\text{Amount of Quantity 1}}{\text{Amount of Quantity 2}} This formula defines any rate, comparing two quantities with different units. To convert it to a unit rate, you perform the division. Comparing Unit Rates \text{Compare } \frac{A}{\text{1 unit}} \text{ vs } \frac{B}{\text{1 unit}} Once two or more rates are converted to unit rates, you can directly compare their numerical values (A...