 Using Percentages (Investigation)

Lesson Objectives

• To visualize and estimate percentages using everyday objects.
• To practice converting fractions into percentages.
• To explore percent of a quantity.

Materials

• Several types of the same object (ex. a variety of different crayons or shoes)
• Paper
• Pen

Procedure

1. Work on your own or in small groups. Think of at least $3$3 objects around you that you have a lot of.
2. Pick the object you have at least $10$10 of. For example, I may choose crayons.

You want to choose an object that comes in a few different colors, designs, or sizes (ex. Shoes, shirts, etc.).

3. Once you decide on an object, collect $10$10 of this object.
4. Pick a category that applies to one or more of the objects you have collected.
5. For each one you choose, count the number of objects you have collected that are in this category and record it.
6. For example, if I have collected these $10$10 crayons: My categories could be: blue ($5$5 crayons) and extra large ($2$2 crayons).

Investigate!

For each category:

1. Estimate the percentage that the number recorded in procedure step 3 represents of the total number of objects. Record it.
4. Applying these percents, what number of objects would you have if the total number of objects you had increased to $100$100?
5. What about if it increased to $500$500?