Unit Rates TeacherTwins©2014

Warm Up Draw and complete the Frayer Model on your paper. Define in your own words. Draw a picture to show what the word means. Ratio Non-Examples (list at least 3) Examples (list at least 3)

Rate Flippable

Rates Unit Rates 20 miles in 2 hours 10 miles per hour $12 for 3 people $4 per person 80 pages in 2 hours 40 pages in one hour How are rates and unit rates alike? Different?

Rate- A ratio that compares two quantities measured in different units. Example: 𝟐𝟑𝟑 𝒘𝒐𝒓𝒅𝒔 𝟐 𝒎𝒊𝒏𝒖𝒕𝒆𝒔 Unit Rate- A rate that has a denominator of one. (Divide) Example: 𝟐𝟑𝟑÷𝟐=𝟏𝟏𝟔.𝟓 𝒘𝒐𝒓𝒅𝒔/𝒎𝒊𝒏𝒖𝒕𝒆

Example 1: Hal drove 120 miles in 3 hours Example 1: Hal drove 120 miles in 3 hours. What is his speed in miles per hour? 𝟏𝟐𝟎 𝒎𝒊𝒍𝒆𝒔 𝟑 𝒉𝒐𝒖𝒓𝒔 𝟏𝟐𝟎÷𝟑=𝟒𝟎 𝒎𝒊𝒍𝒆𝒔 𝒑𝒆𝒓 𝒉𝒐𝒖𝒓 Example 2: Danny bought 5 hamburgers and spent $25.75. What is the price per burger? $𝟐𝟓.𝟕𝟓 𝟓 𝒃𝒖𝒓𝒈𝒆𝒓𝒔 𝟐𝟓.𝟕𝟓÷𝟓=$𝟓.𝟏𝟓 𝒑𝒆𝒓 𝒉𝒂𝒎𝒃𝒖𝒓𝒈𝒆𝒓

Example 3: Find each unit price and tell which is the best buy. 10 juice boxes for $4.00 5 juice boxes for $2.50 24 juice boxes for $10.00 Best Buy! $0.40 $0.50 $0.42

80 miles per hour 5 cups per cake $1.70 per ticket $0.07 per oz BB Practice Write the unit rate for each rate. 1). You drive 1,600 miles in 20 hours. 2). Fifty five cups of flour for 11 cakes. 3). $25.50 for 15 tickets Find each unit price (unit rate). Then determine the better buy. 4). Orange Juice 18 oz for $1.26 8 oz for $0.70 5). Gloves 2 pairs for $3.50 6 pairs for $9.00 80 miles per hour 5 cups per cake $1.70 per ticket $0.07 per oz BB $0.09 per oz $1.75 per pair $1.50 per pair BB

Closure What is the difference between a rate and unit rate. Give an example of each.