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

Teacher Actions


Model and generalize patterns for percents by shading a hundredths grids and translating this model into fraction form.

Develop procedural fluency in writing and modeling percents as ratios in various forms.

Communicate mathematically with others through discussion or writing in order to explain how percents represent parts “out of 100” and ratios “to 100.”


Use and connect representations such as a hundredths grid where students model percents and translate these models into fraction form.

Facilitate mathematical discourse by providing opportunities for students to practice recognizing percents as ratios and translating percent to ratios in realworld situations.

Key Understandings

Misconceptions



Difficulty understanding why the percent symbol implies a ratio of parts per one hundred.

Difficulty understanding percents less than one or greater than 100 (Ex: 0.15%, 150%).

OKMath Framework Introduction
6th Grade Introduction
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