Presentation on theme: "Week 16, Day Three HW # p # odd Warm up"— Presentation transcript:
1Week 16, Day ThreeHW # p # oddWarm upMr. Lynch bought some oranges and pears. After giving away 10 oranges, he had twice as many pears as oranges left. If he had 24 pears in the end, what was the ratio of oranges to pears in the beginning?
2Warm Up Response24/2 = 12 He had 12 oranges in the end= 22 He had 22 oranges in the beginningOranges:Pears22:2411:12The ratio of oranges to pears in the beginning was 11:12
3Homework Check p. 226-227 # 1-35 odd and # 36 2/5 3) 10/7 5) 15/1 7) No9) Yes11) Yes13) 25/1215) 12/117) 2/519) yes21) No23) no; she needs 3 ½ c of pancake mix to make 14 servings25) –27) Yes29) No 5/631) Yes33) No 11/635) 39/1836) ----
4Goals for Today Review for Mastery 5-1 Review for Mastery 5-2 Challenge 5-2
5A rate is a comparison of two quantities measured in different units. 903Ratio:Read as“90 miles per 3 hours.”90 miles3 hoursRate:
6Unit rates are rates in which the second quantity is 1. The ratio903can be simplified by dividing:903301=30 miles,1 hourunit rate:or 30 mi/h
7Additional Example 1: Finding Unit Rates Geoff can type 30 words in half a minute. How many words can he type in 1 minute?30 words minute12Write a rate.30 words • minute • 21260 words 1 minuteMultiply to find words per minute.=Geoff can type 60 words in one minute.
8Check It Out! Example 1Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute?90 words 2 minutesWrite a rate.90 words ÷ minutes ÷ 245 words 1 minuteDivide to find words per minute.=Penelope can type 45 words in one minute.
9Additional Example 2A: Chemistry Application Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?44,800 kg5 m3Write the rate.44,800 kg ÷ 55 m3 ÷ 5Divide to find kilograms per 1 m3.8,960 kg1 m3Copper has a density of 8,960 kg/m3.
10Additional Example 2B: Chemistry Application A piece of gold with a volume of 0.5 cubic meters weighs 9650 kilograms. What is the density of gold?9650 kg0.5 m3Write the rate.9650 kg • 20.5 m3 • 2Multiply to find kilograms per 1 m3.19,300 kg1 m3Gold has a density of 19,300 kg/m3.
11The precious metal has a density of 4,532 kg/m3. Check It Out! Example 2AFour cubic meters of precious metal has a mass of 18,128 kilograms. What is the density of the precious metal?18,128 kg4 m3Write the rate.18,128 kg ÷ 44 m3 ÷ 4Divide to find kilograms per 1 m3.4,532 kg1 m3The precious metal has a density of 4,532 kg/m3.
12The gemstone has a density of 14,160 kg/m3. Check It Out! Example 2BA piece of gemstone with a volume of 0.25 cubic meters weighs 3540 kilograms. What is the density of the gemstone?3540 kg0.25 m3Write the rate.3540 kg • 40.25 m3 • 4Multiply to find kilograms per 1 m3.14,160 kg1 m3The gemstone has a density of 14,160 kg/m3.
13Additional Example 3A: Estimating Unit Rates Estimate each unit rate.468 students to 91 computersChoose a number close to 468 that is divisible by 91.468 students91 computers455 studentsDivide to find students per computer.5 students1 computer468 students to 91 computers is approximately 5 students per computer.
14Additional Example 3B: Estimating Unit Rates Estimate each unit rate.313 feet in 8 secondsChoose a number close to 313 that is divisible by 8.313 feet8 seconds320 feet40 feet1 secondDivide to find feet per second.313 feet to 8 seconds is approximately 40 feet per second.
15Check It Out! Example 3AEstimate each unit rate.583 soccer players to 85 soccer balls.Choose a number close to 583 that is divisible by 85.583 players85 soccer balls595 playersDivide to find players per soccer ball.7 players1 soccer ball583 soccer players to 85 soccer balls is approximately 7 players per soccer ball.
16Check It Out! Example 3BEstimate each unit rate.271 yards in 3 hoursChoose a number close to 271 that is divisible by 3.271 yards3 hours270 yards90 yards1 hourDivide to find yards per hour.271 yards to 3 hours is approximately 90 yards per hour.
17Unit price is a unit rate used to compare price per item.
18Additional Example 4A: Finding Unit Prices to Compare Costs Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $ Which pack has the lower unit price?Divide the price by the number of pens.price for packagenumber of pens$1.955==$0.39price for packagenumber of pens$6.2015=$0.41The 5-pack for $1.95 has the lower unit price.
19Additional Example 4B: Finding Unit Prices to Compare Costs Jamie can buy a 15 oz jar of peanut butter for $2.19 or a 20 oz jar for $ Which jar has the lower unit price?Divide the price by the number of ounces.price for jarnumber of ounces$2.1915=$0.15price for jarnumber of ounces$2.7820=$0.14The 20 oz jar for $2.78 has the lower unit price.
20Check It Out! Example 4AGolf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $ Which pack has the lower unit price?Divide the price by the number of balls.price for packagenumber of balls$4.953=$1.65price for packagenumber of balls$18.9512=$1.58The 12-pack for $18.95 has the lower unit price.
21Check It Out! Example 4BJohn can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $ Which bottle has the lower unit price?Divide the price by the number of ounces.price for bottlenumber of ounces$2.1924=$0.09price for bottlenumber of ounces$3.7936=$0.11The 24 oz jar for $2.19 has the lower unit price.
22Lesson Quiz: Part I1. Meka can make 6 bracelets per half hour. How many bracelets can she make per hour?2. A penny has a mass of 2.5 g and a volume of approximately cm3. What is the approximate density of a penny?Estimate each unit rate.3. $2.22 for 6 stamps4. 8 heartbeats in 6 seconds12≈ 6.94 g/cm3$0.37 per stamp 1.3 beats/s
23Lesson Quiz: Part IIFind each unit price. Then tell which has the lower unit price.5. A half dozen carnations for $4.75 or a dozen for $9.246. 4 pens for $5.16 or a ten-pack for $12.90.a dozenThey cost the same.