Learn on PengiReveal Math, Course 1Module 2: Fractions, Decimals, and Percents

2-1 Understand Percents

In this Grade 6 lesson from Reveal Math, Course 1 (Module 2: Fractions, Decimals, and Percents), students learn to understand percent as a rate per 100 and express it using ratio notation such as 45:100 or 45/100. Students practice identifying and modeling percents using two visual tools: 10×10 grids, where each square represents 1%, and bar diagrams divided into equal sections representing multiples of 5% or 10%.

Section 1

The Meaning of Percent

Property

A percent is a ratio that compares a number to 100.
The symbol % means "per hundred," so any percent can be written as a fraction with a denominator of 100.

p%=p100p\% = \frac{p}{100}

Section 2

Modeling Percents with 10x10 Grids

Property

A 10x10 grid contains exactly 100 equal squares, making it an ideal model for percents. The entire grid represents the whole, or 100%100\%, and each individual square represents 1%1\%.

Percent=Number of shaded squares100=n%\text{Percent} = \frac{\text{Number of shaded squares}}{100} = n\%

Section 3

Identifying Percents from Bar Diagrams

Property

To identify a percent from a shaded bar diagram, use the following steps:

  1. Find the value of one section by dividing 100%100\% by the total number of equal sections.
  2. Multiply the value of one section by the number of shaded sections.
Percent=(100%Total Sections)×Shaded Sections\text{Percent} = \left( \frac{100\%}{\text{Total Sections}} \right) \times \text{Shaded Sections}

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Module 2: Fractions, Decimals, and Percents

  1. Lesson 1Current

    2-1 Understand Percents

  2. Lesson 2

    2-2 Percents Greater Than 100% and Less Than 1%

  3. Lesson 3

    2-3 Relate Fractions, Decimals, and Percents

  4. Lesson 4

    2-4 Find the Percent of a Number

  5. Lesson 5

    2-5 Estimate the Percent of a Number

  6. Lesson 6

    2-6 Find the Whole

Lesson overview

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Section 1

The Meaning of Percent

Property

A percent is a ratio that compares a number to 100.
The symbol % means "per hundred," so any percent can be written as a fraction with a denominator of 100.

p%=p100p\% = \frac{p}{100}

Section 2

Modeling Percents with 10x10 Grids

Property

A 10x10 grid contains exactly 100 equal squares, making it an ideal model for percents. The entire grid represents the whole, or 100%100\%, and each individual square represents 1%1\%.

Percent=Number of shaded squares100=n%\text{Percent} = \frac{\text{Number of shaded squares}}{100} = n\%

Section 3

Identifying Percents from Bar Diagrams

Property

To identify a percent from a shaded bar diagram, use the following steps:

  1. Find the value of one section by dividing 100%100\% by the total number of equal sections.
  2. Multiply the value of one section by the number of shaded sections.
Percent=(100%Total Sections)×Shaded Sections\text{Percent} = \left( \frac{100\%}{\text{Total Sections}} \right) \times \text{Shaded Sections}

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Module 2: Fractions, Decimals, and Percents

  1. Lesson 1Current

    2-1 Understand Percents

  2. Lesson 2

    2-2 Percents Greater Than 100% and Less Than 1%

  3. Lesson 3

    2-3 Relate Fractions, Decimals, and Percents

  4. Lesson 4

    2-4 Find the Percent of a Number

  5. Lesson 5

    2-5 Estimate the Percent of a Number

  6. Lesson 6

    2-6 Find the Whole