Section 1
Generating Equivalent Ratios
Property
To find a ratio equivalent to , multiply or divide both terms by the same non-zero number, .
In this Grade 6 lesson from enVision Mathematics Chapter 5, students learn how to generate equivalent ratios by multiplying or dividing both terms of a ratio by the same nonzero number. Using tables and direct calculations, students practice finding equivalent ratios in real-world contexts such as mixing paint colors, sports statistics, and the ratio of a circle's circumference to its diameter (pi). The lesson builds foundational understanding of proportional relationships essential for ratio and rate reasoning.
Section 1
Generating Equivalent Ratios
To find a ratio equivalent to , multiply or divide both terms by the same non-zero number, .
Section 2
Common Error: Adding the Same Number to Both Terms
Ratios represent a multiplicative relationship, not an additive one.
Adding or subtracting the same non-zero number to both terms of a ratio changes the relationship and does not create an equivalent ratio.
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Section 1
Generating Equivalent Ratios
To find a ratio equivalent to , multiply or divide both terms by the same non-zero number, .
Section 2
Common Error: Adding the Same Number to Both Terms
Ratios represent a multiplicative relationship, not an additive one.
Adding or subtracting the same non-zero number to both terms of a ratio changes the relationship and does not create an equivalent ratio.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter