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Definition--Ratios, Proportions, and Percents Concepts--Equivalent Ratios

Equivalent Ratios

Equivalent Ratios Image

Topic

Ratios, Proportions, and Percents

Definition

Equivalent ratios are ratios that express the same relationship between quantities.

Description

Equivalent ratios are fundamental in understanding proportions and scaling in mathematics. They represent the same relationship between quantities, even though the numbers themselves may differ. This concept is crucial in various applications, such as cooking, map reading, and creating models.

For instance, the ratios 2:3 and 4:6 are equivalent because they both simplify to the same ratio when reduced.

In math education, learning about equivalent ratios helps students grasp the concept of proportionality and its applications in different contexts. It is a foundational skill for solving problems involving ratios and proportions.

Teacher’s Script: "If you have a ratio of 3:4 and you multiply both terms by 2, you get 6:8. These are equivalent ratios because they represent the same relationship."

Equivalent Ratios
The ratios red cars:yellow cars is equivalent to 
red motorcycles:yellow motorcycles.

For a complete collection of terms related to Ratios, Proportions, and Percents click on this link: Ratios, Proportions, and Percents Collection.

 

Common Core Standards CCSS.MATH.CONTENT.6.RP.A.1, CCSS.MATH.CONTENT.6.RP.A.2, CCSS.MATH.CONTENT.6.RP.A.3, CCSS.MATH.CONTENT.7.RP.A.3, CCSS.MATH.CONTENT.HSG.SRT.A.1.B, CCSS.MATH.CONTENT.6.RP.A.3.A
Grade Range 6 - 8
Curriculum Nodes Algebra
    • Ratios, Proportions, and Percents
        • Ratios and Rates
Copyright Year 2021
Keywords ratios, Percent, definitions, glossary terms, rates, proportions