Podcast
Questions and Answers
What is the ratio of cups of juice to cups of soda water given in the drink recipe example?
What is the ratio of cups of juice to cups of soda water given in the drink recipe example?
How many legs are there in total for 4 horses, given each horse has 4 legs?
How many legs are there in total for 4 horses, given each horse has 4 legs?
If 6 tickets cost $6, how much would 1 ticket cost?
If 6 tickets cost $6, how much would 1 ticket cost?
What would be the equivalent ratio of 12 tickets for $12?
What would be the equivalent ratio of 12 tickets for $12?
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How many ears are there for every tail, given that each horse has 2 ears and 1 tail?
How many ears are there for every tail, given that each horse has 2 ears and 1 tail?
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What is the price in dollars of 1 raffle ticket, given that 5 tickets cost $6?
What is the price in dollars of 1 raffle ticket, given that 5 tickets cost $6?
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If a class represents the ratio of tickets sold to price using a double number line, what is the advantage of using this method?
If a class represents the ratio of tickets sold to price using a double number line, what is the advantage of using this method?
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Which of the following correctly describes a ratio?
Which of the following correctly describes a ratio?
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What is a more efficient method than extending a double number line for large amounts when solving ratio problems?
What is a more efficient method than extending a double number line for large amounts when solving ratio problems?
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If a train travels 45 miles in 60 minutes, how far does it travel in 12 minutes?
If a train travels 45 miles in 60 minutes, how far does it travel in 12 minutes?
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What is the total number of tickets you can purchase for $90 if tickets are $6 for 5 tickets?
What is the total number of tickets you can purchase for $90 if tickets are $6 for 5 tickets?
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What is one limitation of using double number lines for solving problems with large quantities?
What is one limitation of using double number lines for solving problems with large quantities?
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Which of the following representations can help organize equivalent ratios effectively?
Which of the following representations can help organize equivalent ratios effectively?
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When calculating the price of 300 raffle tickets using a table, what is the total cost?
When calculating the price of 300 raffle tickets using a table, what is the total cost?
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In the context of the presented strategies, which method is recommended for large volume computations?
In the context of the presented strategies, which method is recommended for large volume computations?
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How much distance does the train cover in 1 minute if it travels 45 miles in 60 minutes?
How much distance does the train cover in 1 minute if it travels 45 miles in 60 minutes?
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Study Notes
Ratios
- A ratio is a comparison between two or more quantities.
- Ratios can be represented with diagrams or words.
- Ratios can compare juice to soda water, legs to tails, etc.
- The ratio of cups of juice to cups of soda water is 6:4.
- The ratio of cups of soda water to cups of juice is 4 to 6.
- There are 3 cups of juice for every 2 cups of soda water.
- Equivalent ratios have the same relationship between their parts.
Representing Equivalent Ratios
- Double number line diagrams visually represent equivalent ratios.
- Tables organize equivalent ratios for easy understanding.
- If the price for 5 tickets is $6, you can use a double number line or a table to find the price of 10 tickets, 15 tickets, and so on.
Solving Ratio and Rate Problems
- Tables are efficient for solving problems involving large quantities.
- A table can be used in problems such as finding the total number of tickets for a certain amount of money or finding the number of tickets for a specific price.
- If 5 raffle tickets cost $6, 15 tickets cost $18.
- If 60 minutes equals 45 miles, 12 minutes equals 9 miles.
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Description
This quiz explores the concept of ratios, including how to represent them with diagrams and tables. You'll learn about equivalent ratios and how to use tables to solve problems involving rates, such as ticket pricing. Test your understanding of these key mathematical concepts!
