In this lesson, students will extend their understanding of proportional relationships to discover that they are one kind of linear function.
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Ratios (including rates, ratios, proportions, and percents) are commonplace in everyday life and critical for further study in math and science. In Grade 7, students extend the concepts of unit rate developed in Grade 6 to applications involving complex fractions.
In Grade 5, students divided whole numbers by unit fractions.
This lesson introduces multiplication as scaling. Students already know that multiplying a number by 1 results in the original number. Now they learn that multiplying a number by a whole number greater than 1 results in a product greater than the original number, and multiplying a number by a fraction less than 1 results in a product less than the original number.
One goal of the Common Core is to develop a deeper understanding of fractions by using a progression of concepts from simple to complex. This lesson prepares students for the conceptual shift involved in progressing from adding and subtracting whole numbers to adding and subtracting fractions.
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