6.N.1.3 Explain that a percent represents parts “out of 100” and ratios “to 100.”
In a Nutshell
Percents represent a part to whole relationship in which the “whole” is always 100. This part to whole relationship can be visually modeled by shading in the “part” on a hundredths grid. A fraction can also be written to represent this shaded portion out of 100. This model will aid in explaining why a percent represents parts “out of 100” and ratios “to 100.”
Student Actions
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Teacher Actions
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Model and generalize patterns for percents by shading a hundredths grids and translating this model into fraction form.
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Develop procedural fluency in writing and modeling percents as ratios in various forms.
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Communicate mathematically with others through discussion or writing in order to explain how percents represent parts “out of 100” and ratios “to 100.”
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Use and connect representations such as a hundredths grid where students model percents and translate these models into fraction form.
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Facilitate mathematical discourse by providing opportunities for students to practice recognizing percents as ratios and translating percent to ratios in real-world situations.
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Key Understandings
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Misconceptions
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Difficulty understanding why the percent symbol implies a ratio of parts per one hundred.
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Difficulty understanding percents less than one or greater than 100 (Ex: 0.15%, 150%).
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OKMath Framework Introduction
6th Grade Introduction
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