Ratio Tables

  • Due Nov 11, 2021 at 9:59pm
  • Points 5
  • Questions 5
  • Time Limit None
  • Allowed Attempts 3

Instructions

  

Students will be able to solve ratio tables by finding the missing number with 80% accuracy.

Why is it important to know how to complete ratio tables?

M06.A-R.1.1 Represent and/or solve real world and mathematical problems using rates, ratios, and/or percents. M06.A-R.1.1.1 Use ratio language and notation (such as 3 to 4, 3:4, 3/4) to describe a ratio relationship between two quantities. 1 week

Textbook page: 39

rate, unit rate, scaling, ratio table

 

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Refreshments: A punch recipe uses one container of soda and three containers of juice to make one batch of punch.

Original Ratio for 1 batch of punch

  • On a separate sheet of paper or using the counters in THIS virtual manipulative link, use the red counters to show the number of containers of soda and the yellow counters to show the number of containers of juice needed to make 2 batches of punch. → Write the ratio to show this
  • Using the same method, find what is needed to make 3 batches of punch. → Write the ratio to show this
  • Compare the three ratios. What do you notice? 

ANSWERS - highlight to see the answers from above → → → 2/6, 3/9, they are equivalent ratios

 

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Take a look back at the video below. It will review how we find ratios and write them for a given problem.

 

 

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  • A ratio table presents a series of equivalent ratios.
    • ratio tables can be completed to solve problems involving equivalent ratios, such as patterns or rates.

  • It may take several steps to scale up or scale down to find the relationship between equivalent ratios.
    • multiplying or dividing two related quantities by the same number is called scaling.

  • To determine whether two ratios are equivalent, write the ratios as fractions in simplest form. If the fractions are the same, the ratios are equal.


Let's take a look at an example:

You're making icing for a cake. In order to make 1 cup of yellow icing, you have to add 6 drops of yellow food coloring.

But what if you have to make 5 cups of icing to cover your cake? How do you figure out how many drops of food coloring to add?

Watch this video to see how a Ratio Table will help you solve this problem:

  

Remember above we mentioned scaling. Sometimes you may need to scale back and then scale forward to find an equivalent ratio. In order to do this, multiply or divide two related quantities by the same number.

 

Watch this example to see how you use scaling:

 

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Practice with IXL or check out the video below on completing ratio tables.

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After you have reviewed the entire lesson above including the videos and practice problems, complete the ratio tables with the questions below. 

Make sure to send Mrs. Cole a canvas message if you have any questions or stop in during a lesson help time. 

 

Find the Missing Number.

Scaling. Complete the tables below by finding equivalent ratios and the correct number that belongs where the gray square is shown. 

 

 

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