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## Unit Rates and Ratios

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**Unit Rates and Ratios**Mr. Swaner**Rates/ratios**• Can be written three different ways a to b a:b**Because ratios are fractions, they must always be reduced to**simplest form**Example**• On average, a baseball team scores 3 runs to every 7 hits. Write a ratio for the situation**Example**• On average, a baseball team scores 3 runs to every 7 hits. Write a ratio for the situation 3 to 7 3:7**Using the ratio**• We can use the ratio to find the runs or the hits for a scenario. • The team scored 6 runs, how many hits did they have?**Unit Rates**This is the value per unit. You use these all the time: At the grocery store For cars At your job Speed**Unit Rates**• The denominator must be 1**Example**• What is the unit rate: $15 for a 5oz package of cashews. (how much per oz)**You**• A car can go 270 miles on 9 gallons of gas. What is the unit rate?**You**• Jim can type 500 words in 10 minutes. What is the unit rate?**You**• A plane can fly 480 miles per hour. What is the rate in minutes?**Are the ratios of boys to girls in the two classes**equivalent? What could these ratios tell us? If there is a larger ratio of boys to girls in one class than in the grade as a whole, what does that mean must be true about the boy/girl ratio in other classes?**Value-Mart is advertising a Back-to-School sale on pencils.**A pack of 30 sells for $7.97 whereas a 12-pack of the same • brand cost for $ 4.77. Which is the better buy? How do you know?**How is finding an associated rate or unit rate helpful when**making comparisons between quantities?**Exit Ticket**• 1. At the conclusion of the video, your classmate takes out his calculator and says, “Wow that was amazing! That means the dog went about 5 meters in 1 second!” Is your classmate correct and how do you know? • 2. After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman’s skateboarding record. • Lightning’s fastest recorded time was on a 75-meter stretch where it took him 15.5 seconds. Based on this data, did Lightning break Tillman’s record for fastest dog? Explain how you know.