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## Ratio, Proportion, Percent, Markups, % change.

You will often read in many different contexts about "ratio" of one item to another, so the meaning of ratio is important in many subjects beyond math.

So what is a ratio?  Watch this everyday example of ratios.  Try out a couple ratio word problems.  Look at this explanation for proportions. If you like challenges, try doing these exercises using tables with ratios to reach the answers.

What is the difference between a ratio and proportion?  A ratio is statement about one number compared to another.  A proportion is an equation, with ratios on both sides of equal sign, which indicates that both ratios are equal.  You may set up a proportion to solve for an unknown using cross-multiplication.  I personally have found proportions to be VERY useful in solving problems in many disciplines, not just math. Learn about  proportional relationshipsconstructing proportions and then you solve some proportions for the unknown and then practice setting up and solving proportions that are word problems.

We all like speed, so check out this discussion of rates. Rates are used in so many practical situations; look at this example and then try a few rates problems yourself. Sometimes it takes more than one step to solve a rate problem as shown here.  Try these harder problems.

Go to the purple math website for explanation of markups, a practical everyday kind of math!

Another everyday math type of problem:  percent of change     Go to this site for explanation, and practice problem solving

Check out this fun video illustrating percentages, markdowns and bargains - real life examples.

Ask your CCV learning coach for paper worksheets if you need more practice.

Last lesson in this unit:  simple interest.