Unit Rates

Warm Up

Vocabulary

Jeff hikes ½ mile every 15 minutes, or ¼ hour. Why is 15 minutes equal to ¼ hour? How far does Jeff hike in 1 hour? 2 hours?

Method 1 – Use a Bar Diagram How many ¼ hours are in 1 hour? How far does Jeff hike in 1 hour? 2 hours?

Method 2 – Use a table Look at time in the table. Where did the numbers ½, ¾, and 1 come from? How far does Jeff hike in 1 hour? 2 Hours?

Lisa hikes 1/3 mile every 10 minutes, or 1/6 hour. Why is 10 minutes equal to 1/6 hour? How far does Lisa hike in 1 hour? 2 hours?

How did you find Jeff’s distance for ¾ hour? How did you find Lisa’s distance for ½ hour? Which hiker goes farther in one hour? Who’s faster?

Angela estimates that she paints 55 square feet every half hour Angela estimates that she paints 55 square feet every half hour. How many square feet does she paint per hour? Step 1: Determine the units of the rate. The rate is area in square feet per time in hours. Step2: Find Angela’s rate of painting in area painted per time.

Step 3: Find Angela’s unit rate of painting in square feet per hour.

Paige mows 1/6 acre in ¼ hour. How many acres does she mow in one hour? Greta uses 3 cups of pasta for every ¾ cups of sauce. How much pasta does she use per cup of sauce?

How do we convert minutes to hours? Two pools are leaking. After 15 minutes, pool A has leaked 2/3 gallon. After 20 minutes, pool B had leaked ¾ gallon. Which pool is leaking faster? How do we convert minutes to hours?

All fractions can always be rewritten as division problems.

How do we convert improper fractions into mixed numbers?

What does > mean? How do we compare mixed numbers or fractions?

Sheldon makes limeade using ¾ cup water per 1/5 cup lime juice Sheldon makes limeade using ¾ cup water per 1/5 cup lime juice. Leonard makes limeade using 2/3 cup water per 1/6 cup lime juice. Find the unit rates of water (cups) per lime juice (cups). Whose limeade has a weaker lime flavor? Explain why it is weaker.