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 transcript:

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 Complete on the back of your homework. 1. Alana biked 45 miles in 3 hours. How many miles did she bike in 1 hour?

5 Minute Check

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

5 Minute Check

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

5 Minute Check

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

5 Minute Check

Flashcards

Wednesday, Sept 2 Lesson 1.4 Ratio Tables

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

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

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. Remember, we can only multiply or divide to get from one ratio to another!

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

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

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

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

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

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

Ratio Tables Below is an incomplete ratio table. Complete the ratio table with equivalent ratios

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

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

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

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

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

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

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. How to Draw a Ratio Table Step 1 – Draw the table.

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. How to Draw a Ratio Table 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. Step 2 – Label the table with the units. What is the first unit in the question?

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. What is the second unit in the question? Dollars

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

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 (numbers) you know. What is the first number in the question? Dollars Hours

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 (numbers) you know. What is the second number in the question? Dollars 320 Hours

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 (numbers) you know. Any additional numbers? Dollars 320 Hours 40

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 (numbers) you know. Dollars 320 Hours 406

Ratio Tables Dollars 320 Hours 406

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

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

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. x 6 Dollars 3208 ? Hours 4016

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. x 6 Dan made $48 for 6 hours of work. Dollars Hours 4016

Ratio Tables Generally, when completing a ratio table we use scaling. Scaling means multiplying or dividing all the numbers in the ratio by the same number. Simplifying is a form of scaling that uses division.

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. Step 3 - ? Cans Dollars

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

Ratio Tables Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. Cans10515 Dollars42 ÷ 2

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

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 x 3

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. Before you start, how many different objects are there in the question?

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. Before you start, how many different objects are there in the question? People, liters of soda, pints of sherbet, and cups of ice. Means there will be 4 rows.

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

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? ÷ 2 People Served Liters of soda 42 Pints of sherbet 21 Cups of Ice 63

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? x 3 It would take 6 liters of soda, 3 pints of sherbet, and 9 cups of ice to serve 36 people. People Served Liters of soda 426 Pints of sherbet 213 Cups of Ice 639

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. It will take 32 hours to receive 4 liters of IV fluids. liters114 hours8832

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?

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

Ratio Tables A table is proportional relationships if they have a equivalent rates or ratios. Meaning to get to the next rate or ratio, it is divide or multiply by the same number. Some tables may be nonproportional, the rates or ratios are not equivalent.

Ratio Tables Some tables may be nonproportional, the rates or ratios are not equivalent. For example. x 2 x ? Pizzas123 Costs $101725

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. You will need 3 cups of sugar for 4 cups of cranberries. Sugar cups1233 Cran Cups1644

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. Joey ate 22 hotdogs every 4 minutes. Hot dogs minutes1224

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? She would receive $24 Canadian for $20 American. American $50520 Canadian $

Ratio Tables The tables shown represent the number of pages Martin and Gabriel read over time. Which situation represents a proportional relationship between the time spent reading and the number of pages read? Explain. Do this on your own.

Ratio Tables

Which situation represents a proportional relationship between the number of laps run by each student and their time? Do this on your own.

Ratio Tables Which situation represents a proportional relationship between the number of laps run by each student and their time? Desmond’s time is proportional. It takes him 73s for every lap.

Karate Rewards

Ratio Tables Agenda Notes Homework – Homework Practice 1.4 Due Thurs, Sept 3 Mid-Chapter 1 Quiz - Friday, Sept 4