Transcript 9-10 PPT
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? 5 Minute Check 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour? 45 miles 3 hours = 15 miles 1 hour 5 Minute Check 2. The Reyes family bought 4 concert tickets for $252. What was the price per ticket? 5 Minute Check 2. The Reyes family bought 4 concert tickets for $252. What was the price per ticket? $252 4 tickets = $63 1 ticket 5 Minute Check 3. Vinnie decorated 72 cookies in 18 minutes. How many cookies did he decorate per minute? 5 Minute Check 3. Vinnie decorated 72 cookies in 18 minutes. How many cookies did he decorate per minute? 72 cookies 18 minutes = 4 cookies 1minute 5 Minute Check 4. John ran 200 meters in 40 seconds. How many meters per second did he run? 5 Minute Check 4. John ran 200 meters in 40 seconds. How many meters per second did he run? 200 meters 40 seconds = 5meters 1 second Tuesday, Sept 10 Lesson 1.4 Ratio Tables Ratio Tables Objective: To use ratio tables to represent and solve problems involving equivalent ratios. Ratio Tables 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 ? Ratio Tables Equivalent ratios express the same relationship between quantities. How can you determine if a ratio is equivalent to another ratio? Ratio Tables Equivalent ratios express the same relationship between quantities. How can you determine if a ratio is equivalent to another ratio? The ratio(s) will simplify to the same ratio. Ratio Tables A ratio table is a table which contains equivalent ratios. Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 12 16 6 4 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 12 6 16 8 4 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 12 6 3 16 8 4 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 6 12 18 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 6 1 18 3 12 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 6 1 12 18 3 36 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 3,000 120 2 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 3,000 1,500 120 60 2 Remember we can only multiply and divide to get from one ratio to another! Ratio Tables Below is an incomplete ratio table . Complete the ratio table with equivalent ratios. 3,000 1,500 120 60 50 2 Remember we can only multiply and divide to get from one ratio to another! 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. 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. Dollars Hours Step 2 – Label the table with the units. 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. Dollars 320 Hours 40 6 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. 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. Dollars 320 Hours 40 6 Step 4 – Complete the data table. Generally, the third column should be for the simplified ration, if needed. 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. Dollars 320 8 Hours 40 1 6 Step 4 – Complete the data table. The third column should be for the simplified ratio, if needed. 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. Dollars 320 8 48 Hours 40 1 6 Dan made $48 for 6 hours of work. Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 1 - ? Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Step 2 - ? Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans Dollars Step 3 - ? Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans 10 Dollars 4 Step 4 - ? 15 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans 10 5 Dollars 4 2 15 Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans 10 5 15 Dollars 4 2 6 The cost of 15 cans will be $6. 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 - ? 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 - ? 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? Drops cups Step 3 - ? 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? Drops 6 cups 1 Step 4 - ? 5 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? Drops 6 6 cups 1 1 Step 4 - ? 5 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? Drops 6 6 30 cups 1 1 5 You will need 30 drops of coloring for 5 cups of icing. 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. 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 24 Liters of soda 4 Pints of sherbet 2 Cups of Ice 6 36 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 24 12 Liters of soda 4 2 Pints of sherbet 2 1 Cups of Ice 6 3 36 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 24 12 36 Liters of soda 4 2 6 Pints of sherbet 2 1 3 Cups of Ice 6 3 9 It would take 6 liters of soda, 3 pints of sherbet, and 9 cups of ice to serve 36 people. 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. 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. liters hours 1 8 1 8 4 32 It will take 32 hours to receive 4 liters of IV fluids. 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. 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. Sugar cups 12 3 3 Cran Cups 16 4 4 You will need 3 cups of sugar for 4 cups of cranberries. 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. 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. Hot dogs 66 11 22 minutes 2 4 12 Joey ate 22 hotdogs every 4 minutes. 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. 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? American $ 50 5 20 Canadian $ 6 24 60 She would receive $24 Canadian for $20 American. Ratio Tables Agenda Notes Homework – Lesson 1-4 Homework Practice Due Wednesday, Sept 11 Mid-Chapter Quiz on Thursday, Sept 12 Please Review Mid-Chapter Check on Page 58