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Chapter 3 Ratio and Proportional Reasoning

The Common Core State Standards use the phrase Ratios and Proportional Relationships to describe concepts that are associated with ratios used to describe relationships between quantities (e.g. 2:3 or as a fraction, \(\frac{2}{3}\)). When two quantities maintain the same relationship we say that they are proportional (e.g. 2:3 is equivalent to 4:6 or as fractions, \(\frac{2}{3}=\frac{4}{6}\)). In this chapter, we will examine how these ideas develop in learners and extend them to rates of change and scaling.