Unit 3: Ratios and Rates Vocabulary

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Double Number Line

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A visual tool with two parallel number lines used to represent equivalent ratios or proportional relationships, where the tick marks on both lines correspond to each other

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Equivalent Ratios

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Ratios that represent the same relationship between two quantities, similar to how equivalent fractions have the same value.

Example: Recipe: A recipe calls for a 2:1 ratio of flour to sugar.

• For 4 cups of flour, you would need 2 cups of sugar (4:2).

• For 6 cups of flour, you would need 3 cups of sugar (6:3). 

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Part-to-Part Ratio

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Compares the quantities of two different parts within a whole, showing their relationship to each other.

Example, the ratio of stars to circles is a part-to-part ratio, directly comparing one part of the group (stars) to another part (circles). The order of the numbers in the ratio matters, and it should be simplified to its lowest terms, similar to a fraction. 

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Part-to-Whole Ratio

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Compares one specific part of a group to the total sum of all parts in that group.

For example, in a class of 10 students, if 3 are girls, the part-to-whole ratio of girls to all students is 3 to 10, or 3:10.  

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Rate

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A measurement comparing two quantities with different units, often expressed as a ratio or fraction to show how much of one quantity exists for a single unit of the other.

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Ratio

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A term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.

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Tape Diagram

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A rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.

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Term

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In a ratio like a:b, the terms are the individual numbers being compared.

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Ratio Table

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A table that organizes a series of equivalent ratios by listing pairs of numbers that maintain the same proportional relationship.

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Unit Price

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The cost of a product per standard unit of measurement, such as per ounce, per pound, or per item.