Find here free math videos on percent-related topics: what is percent, percentage of a number, discouns, sales tax, and percent of change. These videos are meant equally for students, teachers, and parents.
The videos match the lessons in my book Math Mammoth Percent (Blue Series book), or the lessons in chapter 5 of Grade 6-A (Light Blue series), or chapter 7 in Grade 7-B (Light Blue series). In any of those books, you will get MANY more practice exercises, word problems, and puzzles than what are shown in the videos, and also some lessons that are not in covered in this set of videos.
In the second part, I solve two simple word problems involving percentages, using mental math. One is about taxes and the other is about discounts.
These two video lessons give examples and full solutions to several basic percentage word problems, most of which involve the concept of PART/TOTAL = PERCENTAGE.
First I present three problems that all involve a discount. The first asks for the discount percentage, the second for the discount price, and the third for the original price. Then I also solve a problem where the original price and a percentage price increase are given, and the new price is asked.
In the second video, we first find what percentage the area of one triangle is of the are of the other. Of course, to find the percentage, we simply write the fraction PART/TOTAL, and then convert that to a percentage. Then we solve a problem involving an overtime pay that is 160% of the normal.
The last problem states, "3.1 is 14% of what number?" — a typical algebra textbook problem. Essentially, we need to find the TOTAL when the part and the percentage are known. One way to do that is to use the little "formula" PART/TOTAL = PERCENTAGE. In this case, we get 3.1/x = 0.14 or 3.1/x = 14/100, and it's easy to solve the latter equation with cross-multiplying.
This is a beginner lesson explaining how to calculate the percentage of change. We simply find the actual DIFFERENCE between the original and the new quantities, and divide that by the original quantity. In other words, we write the fraction DIFFERENCE/ORIGINAL, or compare the actual change to the original amount. Then all you do is write that fraction as a percentage (possibly first changing it to a decimal with a calculator, and then from a decimal to a percentage).
The videos match the lessons in my book Math Mammoth Percent (Blue Series book), or the lessons in chapter 5 of Grade 6-A (Light Blue series), or chapter 7 in Grade 7-B (Light Blue series). In any of those books, you will get MANY more practice exercises, word problems, and puzzles than what are shown in the videos, and also some lessons that are not in covered in this set of videos.
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Math Mammoth Percent Sample pages (PDF) PDF download $3.50 Add to cart |
By Maria Miller
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