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5 Minute Check Complete on the back of your homework. 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour? 2. The Reyes family bought.

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Presentation on theme: "5 Minute Check Complete on the back of your homework. 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour? 2. The Reyes family bought."— Presentation transcript:

1 5 Minute Check Complete on the back of your homework. 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour? 2. The Reyes family bought 4 concert tickets for $252. What was the price per ticket? 3. Vinnie decorated 72 cookies in 18 minutes. How many cookies did he decorate per minute? 4. John ran 200 meters in 40 seconds. How many meters per second did he run?

2 5 Minute Check 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour? 45 miles 15 miles 3 hours = 1 hour

3 5 Minute Check 2. The Reyes family bought 4 concert tickets for $252. What was the price per ticket?

4 5 Minute Check 2. The Reyes family bought 4 concert tickets for $252. What was the price per ticket? $252 $63 4 tickets = 1 ticket

5 5 Minute Check 3. Vinnie decorated 72 cookies in 18 minutes. How many cookies did he decorate per minute?

6 5 Minute Check 3. Vinnie decorated 72 cookies in 18 minutes. How many cookies did he decorate per minute? 72 cookies 4 cookies 18 minutes = 1minute

7 5 Minute Check 4. John ran 200 meters in 40 seconds. How many meters per second did he run?

8 5 Minute Check 4. John ran 200 meters in 40 seconds. How many meters per second did he run? 200 meters 5meters 40 seconds = 1 second

9 Wednesday, Aug 27 Lesson 6.1.4 Ratio Tables

10 Objective: To use ratio tables to represent and solve problems involving equivalent ratios.

11 Ratio Tables Equivalent ratios express the same relationship between quantities. 1: 2 is equivalent to 2: 4 is equivalent to 4: 8 is equivalent to 8:16 is equivalent to 16:32 is equivalent to ?

12 Ratio Tables How can you determine if a ratio is equivalent to another ratio?

13 Ratio Tables How can you determine if a ratio is equivalent to another ratio? They will simplify to the same ratio.

14 Ratio Tables A ratio table is a table which contains equivalent ratios.

15 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. Remember, we can only multiply and divide to get from one ratio to another! 12 6 164

16 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. How do we get from 12 to 6? 12 6 164 ?

17 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 12 6 16?4 ÷ 2

18 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 12 6 1684 ÷ 2

19 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. How do we get from 8 to 4? 12 6 1684 ?

20 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 12 6? 1684 ÷ 2

21 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 12 63 1684 ÷ 2

22 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 6 12 18

23 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. How do we get from 6 to 12? 6 12 18 ?

24 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 6 12 18? x 2

25 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 6 12 1836 x 2

26 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. Since we we did not have either number in the middle section, any equivalent ratio will be correct. 6 12 1836

27 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. We could either divide or multiple to find an equivalent ratio. 6 112 18336 ÷6

28 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 3,000 1202 ?

29 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. 3,000 50 120 2 ÷ 60

30 Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios. Since we did not have either number in the middle section, any equivalent ratio will be correct. 3,000 1,50050 120 602

31 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Step 1 – Draw the table. The number of rows will depend on the number of units. The number of columns should be at least 4. You can add more if needed.

32 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Step 2 – Label the table with the units. Dollars Hours

33 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Step 3 – Add the data. Generally, the complete ratio would be in the left-hand column (after the units) and the incomplete ratio would be in the right-hand column. Dollars 320 Hours 406

34 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Step 4 – Complete the data table. The third column should be for the simplified rate, if needed. What is the ratio in column 1 simplified? Dollars 320 Hours 406

35 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Step 4 – Complete the data table. The third column should be for the simplified rate, if needed. Dollars 3208 Hours 4016

36 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Dan made $48 for 6 hours of work. Dollars 320848 Hours 4016

37 Ratio Tables Dan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work. Generally, when completing a ratio table we use scaling. Scaling means multiplying or dividing all the numbers in the ratio by the same number. Dollars 320848 Hours 4016

38 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 1 - ?

39 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 2 - ?

40 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 3 - ? Cans Dollars

41 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 4 - ? Cans1015 Dollars4

42 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans10515 Dollars42

43 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. The cost of 15 cans will be $6. Cans10515 Dollars426

44 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? Step 1 - ?

45 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? Step 2 - ?

46 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? Step 3 - ? Drops cups

47 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? Step 4 - ? Drops6 cups15

48 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? Step 4 - ? Drops66 cups115

49 Ratio Tables To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same results? You will need 30 drops of coloring for 5 cups of icing. Drops6630 cups115

50 Ratio Tables A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each ingredient would it take to make enough for 36 people? Do this on your own.

51 Ratio Tables A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each ingredient would it take to make enough for 36 people? People Served 2436 Liters of soda 4 Pints of sherbet 2 Cups of Ice 6

52 Ratio Tables A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each ingredient would it take to make enough for 36 people? People Served 241236 Liters of soda 42 Pints of sherbet 21 Cups of Ice 63

53 Ratio Tables A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each ingredient would it take to make enough for 36 people? It would take 6 liters of soda, 3 pints of sherbet, and 9 cups of ice to serve 36 people. People Served 241236 Liters of soda 426 Pints of sherbet 213 Cups of Ice 639

54 Ratio Tables A patient receives 1 liter of IV fluids every 8 hours. At that rate, find how many hours it will take to receive 4 liters of fluid. Do this on your own.

55 Ratio Tables A patient receives 1 liter of IV fluids every 8 hours. At that rate, find how many hours it will take to receive 4 liters of fluid. It will take 32 hours to receive 4 liters of IV fluids. liters114 hours8832

56 Ratio Tables To make cranberry jam, you need 12 cups of sugar for every 16 cups of cranberries. Find the amount of sugar needed for 4 cups of cranberries. Do this on your own.

57 Ratio Tables To make cranberry jam, you need 12 cups of sugar for every 16 cups of cranberries. Find the amount of sugar needed for 4 cups of cranberries. You will need 3 cups of sugar for 4 cups of cranberries. Sugar cups1233 Cran Cups1644

58 Ratio Tables In a recent year, Joey Chestnut won a hot dog eating contest by eating 66 hot dogs in 12 minutes. If he ate at a constant rate, determine how many hot dogs he ate every 4 minutes. Do this on your own.

59 Ratio Tables In a recent year, Joey Chestnut won a hot dog eating contest by eating 66 hot dogs in 12 minutes. If he ate at a constant rate, determine how many hot dogs he ate every 4 minutes. Joey ate 22 hotdogs every 4 minutes. Hot dogs661122 minutes1224

60 Ratio Tables On her vacation, Leye exchanged $50 American and received $60 Canadian. Use a ratio table to find how many Canadian dollars she would receive for $20 American? Do this on your own.

61 Ratio Tables On her vacation, Leye exchanged $50 American and received $60 Canadian. Use a ratio table to find how many Canadian dollars she would receive for $20 American? She would receive $24 Canadian for $20 American. American $50520 Canadian $60 6 24

62 Ratio Tables Use the ratio table to determine how many people 13 subs would serve. Explain.

63 Ratio Tables Use the ratio table to determine how many people 13 subs would serve. Explain. 52 people. The number of subs is multiplied by 4 to get the number of people served.

64 Ratio Tables There are 10 girls and 8 boys in class. If 5 more girls and 5 more boys join the class, will the ratio of girls to boys remain the same? Justify your answer using a ratio table.

65 Ratio Tables There are 10 girls and 8 boys in class. If 5 more girls and 5 more boys join the class, will the ratio of girls to boys remain the same? Justify your answer using a ratio table. No. If 5 girls and 5 boys are added, there would be 15 girls and 13 boys in class. Using a ratio table, it shows the ratio should be 15 girls to 12 boys.

66 Ratio Tables Agenda Notes Homework – Lesson 6.1.4 Homework Practice Due Thursday, Aug 28 Mid-Chapter Quiz Friday, Aug 29


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