How Do You Determine Whether Values in a Table are Proportional?
How Do You Determine Whether Values in a Table are Proportional?
Note:
To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios. To see this process step-by-step, check out this tutorial!
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Background Tutorials
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.
Further Exploration
Use proportional relationships to solve multistep ratio and percent problems.
Trying to find a missing value in order to create a proportion with two ratios? Take the ratios in fraction form and identify their relationship. Use that relationship to find your missing value. This tutorial will show you how!