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The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. Students consider a picture of school supplies, which introduces the context used in the lesson.
How many total school supplies are on the table?
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
The purpose of this activity is for students to consider the magnitude of numbers ranging from one-digit to three-digits. Students estimate what item in a school might be represented by a given number and also what items could definitely not be represented by that number. When students estimate and make assumptions about what could be in a school building, they model with mathematics (MP4).
Here are some numbers that represent quantities of objects. What might each number represent? Think of something each number could not represent. Record your ideas.
| number | It might represent: | It could not represent: |
|---|---|---|
| 1 | ||
| 3 | ||
| 56 | ||
| 110 | ||
| 408 |
The purpose of this activity is for students to think about the quantity of different items in their own classroom. Students begin by sharing different items they think these numbers could not represent. They then make a list of items they think each number could represent. They discuss what work would need to be done to determine if any of their ideas are correct. If time permits, students collect this data and determine what the numbers represent. If students are not able to collect this data, the teacher can reveal what the numbers represent in their classroom. When students collect data or explain how it could be collected, they model with mathematics (MP4).
Fill in the numbers your teacher gives you. Then complete the other columns.
| number | It might represent: | It could not represent: |
|---|---|---|
“Today we estimated quantities in order to determine items that might be represented by given numbers. Do you think it is harder to look at items and estimate how many there are, or think about a given number and determine the item it may represent?” (I think it is harder to be given the number and think about the items it could be because there are lots of different items that could be represented by the same number. I think it is harder to estimate the number of items because I have to come up with the number myself instead of just thinking if the given number is a good estimate.)
Consider having students respond to the previous question as a journal prompt.