Student Tutorial: Ratios, Proportions, and Percents: Definitions | Media4Math

Student Tutorial: Ratios, Proportions, and Percents: Definitions

Instructions:

Study these vocabulary terms related to Ratios, Proportions, and Percents.

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Ratio. The relationship between two numbers, represented as a quotient. The numbers in the ratio must have the same units of measurement or represent similar quantities.

$Ratios in Simplest Form. When written as a fraction, a ratio can also be written as a fraction in simplest form.$

Equivalent Ratios. Two ratios that are numerically equal to each other.

Part-to-Part Ratio. A ratio based on a comparison of parts of a whole.

$Part-to-Whole Ratio. A ratio based on a comparison of a part to the whole. A fractional amount.$

Ratios and Fractions. Fractions are part-to-whole ratios.

Ratios with Decimals. Some ratios have terms that are decimals. Such ratios can be rewritten as ratios with integer amounts.

$Ratios with Fractions. Some ratios have terms that are fractions. Such ratios can be rewritten as ratios with integer amounts.$

Ratios with Percents. Some ratios have terms that are percents. Such ratios can be rewritten as ratios with integer amounts.

Golden Ratio. A special ratio that forms a proportion based on the illustration shown. The symbol for the Golden Ratio is the Greek letter phi.

Visualizing Ratios. An illustration can sometimes help in identifying the terms in a ratio.

Visualizing Equivalent Ratios. An illustration can sometimes help in identifying equivalent ratios.

Rate. A ratio that compares two different types of quantities. The resulting unit of measurement is based on the individual quantities.

Unit Rate. A rate expressed as a ratio with 1 in the denominator or sometimes as a decimal.

Dimensional Analysis. The process of converting from one unit of measure to another using conversion factors equivalent to 1.

Converting Units. Taking a rate expressed in one type of units, multiplying by a conversion factor, to find the rate in another set of units.

$Percent. The fractional part out of 100. Percents can be expressed as whole numbers, decimals, and fractions.$

Percent of a Number. One of three forms that a percent equation can take. In this form, calculate the percent of a given number for a given percent.

Percent of an Unknown Number. One of three forms that a percent equation can take. Determine an unknown quantity given the percent and the product.

Percent One Number Is of Another. One of three forms that a percent equation can take. In this form, determine the percent one number is of another.

Percent Increase. The increase in a number expressed as a percent change. Use this formula to calculate percent increase.

Percent Decrease. The decrease in a number expressed as a percent change. Use this formula to calculate percent decrease.

Proportion. When two ratios are equal, they form a proportion.

Solving a Proportion. When two ratios are equal to each other, you can set up and solve a proportion.

Similar Figures. Two figures are similar if they have the same shape but different sizes. Corresponding sides are proportional.

Scale Drawing. A proportional figure that is usually a scaled-down version of a larger figure. A scale factor determines the relationship between the smaller and larger figures.