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.

Using Strip Models to Explain Percent


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:

  1. Understand the problem: Read the problem carefully and identify the information provided and the information that needs to be found.
  2. 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%.
  3. Identify the whole: Identify the total amount or quantity that the percent represents.
  4. 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.
  5. Label the shaded parts: Label the shaded parts with the percent or fraction that they represent.
  6. 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.
  7. 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?

  1. We are given that the shirt is on sale for 30% off and the original price is $60.
  2. Draw a strip divided into 100 equal parts.
  3. Identify the whole: The original price is $60.
  4. Shade in 30 parts of the strip
  5. Label the shaded parts: 30%
  6. Use the strip model to find the part or whole: 30% of $60 is $18
  7. 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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