These are links to pages.→   Arithmetic      Algebra      Fractions      Decimals      Ratio, Proportion, & Percent      Exponents      Factoring      Graphing 


     Ratio, Proportion, & Percent                                           
                      Ratio & Proportion (and equations that are not proportions)
                      Proportions with Mixed Numbers, Fractions, or Decimals (Tough Ones)
                      Using Proportions to Solve Word Problems
                      Percents, Decimals, & Fractions

                         Solving Percent Problems--Short Percent Sentences--with (1) Proportions
                     
Solving Percent Problems--Short Percent Sentences--with (2) Equations
                         Percent Increase & Percent Decrease
 
 
Ratio & Proportion (and equations that are not proportions)
I describe the meaning of ratio and proportion. I show a number of examples of proportions (a special type of equation), as well as several equations that are similar to proportions. I solve 14 equations in all. (You should be familiar with solving algebraic equations that do not contain fractions, and it is helpful if you already have some idea of how to clear an equation of fractions.) It may be helpful for you to print the "Sheets Used in Video" so you can take notes while watching the video. You might also pause the video and try to anticipate, or complete, the next step.

The worksheets have three columns, each with four problems. Each worksheet reflects a similar varitey of problems from the video, but each column is somewhat different due to the wide variety of possible problems. Still, it is a good idea to work one column, checking your work as you go, and pausing before you begin the next column. Your steps may differ from the Answer Key, but the answers must match.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)


Ratio & Proportion (and equations that are not proportions) (Sheet A)
Ratio & Proportion (and equations that are not proportions) (Sheet A) (Answer Key)

Ratio & Proportion (and equations that are not proportions) (Sheet B)
Ratio & Proportion (and equations that are not proportions) (Sheet B) (Answer Key)



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Proportions with Mixed Numbers, Fractions, or Decimals (Tough Ones)
I go through eight proportion problems, four with the variable in the numerator and four with the variable in the denominator; I advocate a slightly different approach based on this consideration. With many of these, I prefer to simplify, or "clean up" one side of the equation prior to isolating the variable or clearing of fractions. The practice worksheet, Proportions with Mixed Numbers, Fractions, or Decimals (Tough Ones) has three columns with a total of nine problems. Each column has a somewhat similar variety of problems; I suggest checking as you go and pausing or taking a break between columns, eventually attempting to proceed without looking at notes or examples. This helps to move the knowledge to your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Proportions with Mixed Numbers, Fractions, or Decimals (Tough Ones)
Proportions with Mixed Numbers, Fractions, or Decimals (Tough Ones) (Answer Key)



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Using Proportions to Solve Word Problems
I go through five word problems that can be solved using proportions. I mention when proportions can be used, and then show how to set up and solve the proportions. This builds on the previous two videos. Each worksheet has six problems in two coulmns of three. Each column has a similar variety of problems. I suggest checking your work as you go and pausing between columns. Try to tackle the last one or two columns without looking at examples or notes; this helps to develop your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Using Proportions to Solve Word Problems (Sheet A)
Using Proportions to Solve Word Problems (Sheet A) (Answer Key)


Using Proportions to Solve Word Problems (Sheet B)
Using Proportions to Solve Word Problems (Sheet B) (Answer Key)


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Percents, Decimals, & Fractions
Emphasizing the meaning of the percent symbol, %, I describe how to remove the percent sign or put in the percent sign, without changing the value of what you are given. (In math you can always change the appearance, but never the value of what you are given.) With the last four examples, I show how to convert percentages that are mixed numbers or decimals, into fractions without the percent symbol. These are a bit more challenging. The Percents, Decimals, & Fractions worksheet is arranged in sections just like the video; you could pause the video at the end of each section in order to work the corresponding section of the worksheet, or you can watch the entire video and then tackle #1 through #20 on the worksheet.  Either way, by the time you have done #20, you have done four of each type of problem in the video. Working #21 through #34 takes you back over the same types of problems that you did in the first twenty. That said, try to work #21 through #34 without looking at notes or examples.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Percents, Decimals, & Fractions
Percents, Decimals, & Fractions (Answer Key)




Orderly - Matching for Percents, Decimals, & Fractions
Orderly - Matching for Percents, Decimals, & Fractions (Answer Key)

Scrambled - Matching for Percents, Decimals, & Fractions
Scrambled - Matching for Percents, Deciamls, & Fractions (Answer Key)


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 Solving Percent Problems -- Short Sentences Involving Percents
Using Proportions to Solve Percent Problems
I use proportions to set up and solve nine problems. Since there are basically three types of "percent problems," I work through three pages of increasing difficulty, with the three types of problems on each page. I start with integers and move to mixed numbers and decimals. The last problem calls for rounding to the "nearest tenth of a percent." It is helpful for you to learn both methods--Using Proportions or Using Equations--to set up and solve percent problems. Either method can be used on any given problem.

The worksheet for Using Proportions to Solve Percent Problems has three columns, each with four problems that present a similar variety of setups. I suggest that you complete and check one column before attempting the next. If you are getting correct answers, a break before attempting the last column will help to move your understanding to your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Using Proportions to Solve Percent Problems
Using Proportions to Sove Percent Problems (Answer Key)



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  Using Equations to Solve Percent Problems
I use equations to set up and solve nine problems. Since there are basically three types of "percent problems," I work through three pages of increasing difficulty, with the three types of problems on each page. I start with integers and move to mixed numbers and decimals. One problem on the last page involves a decimal number that you have to round to the nearest whole number. The worksheet for Using Equations to Solve Percent Problems is set up the same way as the previous worksheet. I suggest the same approach to using the worksheet.

If you would like additional practice, you could take the "proportions" worksheet and solve it using equations. Likewise, you could take the "equations" worksheet and solve it using proportions.
Sheets Used in Video
Sheets Used in Video (Answer Key)



Using Equations to Solve Percent Problems

Using Equations to Sove Percent Problems (Answer Key)



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Percent Increase & Percent Decrease
I go through three examples of finding the percent increase or percent decrease. One question involves rounding to the nearest percent. The worksheet has two columns, each with three problems. I recommend checking the problems as you go, and possibly taking a break between the first and second column. As soon as you are able, try to work without looking at examples or notes. Taking a break and not looking at examples while you work will help to move the knowledge to your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Percent Increase & Percent Decrease
Percent Increase & Percent Decrease (Answer Key)




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