Problem Solving Using Proportions

Problem Solving Using Proportions-86
Some students may choose one method over another; some may be able to master all of the methods.Most will probably choose one method they prefer for doing these conversions.

Some students may choose one method over another; some may be able to master all of the methods.Most will probably choose one method they prefer for doing these conversions.

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This tutorial shows you how to take a words problem and turn it into a percent proportion.

Then see how to solve for the answer using the mean extremes property of proportions. Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve.

We also study briefly what cross-multiplying is based on (it is not a magic trick! The concept of direct variation is introduced in the lesson Proportional Relationships.

Writing and graphing equations gives a visual understanding of proportionality.

Then, students encounter the concept of aspect ratio, which is simply the ratio of a rectangle's width to its height, and solve a variety of problems involving aspect ratio.

Next, students learn how rates can be used to convert measurement units.This tutorial provides a great real world application of math.You'll see how to use the scale from a blueprint of a house to help find the actual height of the house.This video shows the method to solve word problems using proportions. We type '30 words' in the numerator of the first fraction and 1 minute in its denominator.In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This fraction must be proportional to the second fraction.The second fraction has '390 words' in the numerator and the variable 'x' to represent the time which we have to find. This can be written as (30 words)/(1 minute)=(390 words)/(x minutes). There is also an optional lesson, Significant Digits, that deals with the concept of the accuracy of a measurement and how it limits the accuracy of the solution.Lastly, we study various kinds of word problems involving ratios and use a bar model to solve these problems.This tutorial shows you how to use a proportion to solve!Word problems allow you to see the real world uses of math!

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