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In this lesson, students consider how to calculate a fractional percentage using a whole number percentage as a reference. For example, if they know that 1% of 200 is 2, they can use the structure of the base-ten system to reason that 0.1% of 200 is 0.2, and 0.01% of 200 is 0.02 (MP7).
First, students use place value and properties of operations to calculate percentages without a context. Next, they apply this reasoning about fractional percentages to situations involving percent increase. This prepares students for working with more complex contexts, such as interest rates, taxes, tips, and measurement error.
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Let’s explore percentages smaller than 1%.
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