# Using Strip Models to Explain Percent

A Strip Model is a rectangular model used to show numerical relationships.

It is also used to display fractions or solve equations involving operations.

To explain percent, it is better to write the percentage as a fraction. Then, simplify and then signify it using a strip model.

## Step-by-Step Guide Using Strip Models to Explain Percent

A strip model is a visual tool that can be used to represent and explain percent. Here’s a step-by-step guide to using strip models to explain percent:

- Understand the problem: Read the problem carefully and identify the information provided and the information that needs to be found.
- Draw a strip model: Draw a strip divided into equal parts, with each part representing a certain percentage. The strip can be divided into 100 equal parts, with each part representing 1%.
- Identify the whole: Identify the total amount or quantity that the percent represents.
- Shade in the appropriate number of parts: Shade in the number of parts that represent the percent. For example, if the problem states that an item is 20% off, shade in 20 parts of the strip.
- Label the shaded parts: Label the shaded parts with the percent or fraction that they represent.
- Use the strip model to find the part or whole: Use the strip model to find the part or whole by counting the number of shaded parts or the number of unshaded parts and multiplying by the whole.
- Write the final answer in a complete sentence: Use the information from the strip model to express the final answer.

### Using Strip Models to Explain Percent – Examples 1

Problem: A shirt is on sale for 30% off. The original price of the shirt is $60. What is the sale price of the shirt?

- We are given that the shirt is on sale for 30% off and the original price is $60.
- Draw a strip divided into 100 equal parts.
- Identify the whole: The original price is $60.
- Shade in 30 parts of the strip
- Label the shaded parts: 30%
- Use the strip model to find the part or whole: 30% of $60 is $18
- The sale price of the shirt is $60 – $18 = $42.

It’s worth noting that this is just one way to use strip models to explain percent, and you can use different models depending on the information provided in the problem.

**Using Strip Models to Explain Percent – Examples 2**

Using a strip model to show 20%.**Solution:****Step 1: **Write 20% as a fraction. It is \(\frac{20}{100}\). It means 20 parts out of 100.**Step 2:** Simplify the fraction. \(\frac{20}{100}=\frac{1}{5}\)**Step 3: **Now represent 1 part out of 5 total parts.

**Using Strip Models to Explain Percent – Examples 3**

Using a strip model to show 40%.**Solution:****Step 1:** Write 40% as a fraction. It is \(\frac{40}{100}\). It means 40 parts out of 100.**Step 2:** Simplify the fraction. \(\frac{40}{100}=\frac{2}{5}\)**Step 3:** Now represent 2 parts out of 5 total parts.

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