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Warm Up Divide. Round answers to the nearest tenth. 1. 2. 3. 4. 23.3 3.5 23.8 23.9 420 18 73 21 380 16 430 18.

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Presentation on theme: "Warm Up Divide. Round answers to the nearest tenth. 1. 2. 3. 4. 23.3 3.5 23.8 23.9 420 18 73 21 380 16 430 18."— Presentation transcript:

1 Warm Up Divide. Round answers to the nearest tenth

2 Vocabulary Rate Unit Rate Unit Price Estimate

3 Ratio: 90 3 Rate: 90 miles 3 hours...as a ratio like this, A rate is a comparison of two quantities measured in different units. For example, the phrase “90 miles per 3 hours” can be written......or as a rate, like this

4 Unit rates are rates in which the second quantity is 1. unit rate: 30 miles, 1 hour or 30 mi/h The ratio 90 3 can also be simplified by dividing: 90 3 = 30 1

5 Class Example Geoff can type 30 words in half a minute. How many words can he type in 1 minute? Write as a rate. = Geoff can type 60 words in one minute. Multiply to find words per minute. 60 words 1 minute 30 words minute words 2 minute

6 Partner Practice Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute? 90 words 2 minutes Write a rate. = Penelope can type 45 words in one minute. 90 words ÷ 2 2 minutes ÷ 2 Divide to find words per minute. 45 words 1 minute

7 Individual Practice A piece of gold with a volume of 0.5 cubic meters weighs 9650 kilograms. What is the density of gold? Gold has a density of 19,300 kg/m kg 0.5 m 3 Write the rate. Multiply to find kilograms per 1 m kg m ,300 kg 1 m 3

8 To estimate is to find a value that is close to the actual value, but not necessarily the true value.

9 Estimate the unit rate. Partner Practice 313 Is not divisible by 8, so choose a number close to 313 that is divisible by feet in 8 seconds 313 feet to 8 seconds is approximately 40 feet per second.  313 feet 8 seconds 320 feet 8 seconds  40 feet 1 second Divide to find feet per second.

10 Estimate each unit rate. Individual Practice Choose a number close to 583 that is divisible by soccer players to 85 soccer balls. 583 soccer players to 85 soccer balls is approximately 7 players per soccer ball.  583 players 85 soccer balls 595 players 85 soccer balls  7 players 1 soccer ball Divide to find players per soccer ball.

11 Unit price is a unit rate used to compare price per item.

12 Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which pack has the lower unit price? Class Practice Set up proportions for both situations. price for package number of pens = $ =$0.39 price for package number of pens = $  $0.41 The 5-pack for $1.95 has the lower unit price. Divide the price by the number of pens. Compare to determine your answer.

13 Jamie can buy a 15 oz jar of peanut butter for $2.19 or a 20 oz jar for $2.78. Which jar has the lower unit price? Partner Practice  $ = $0.15 = $  $0.14 The 20 oz jar for $2.78 has the lower unit price. price for jar number of ounces price for jar number of ounces


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