100th Day of School Prediction Activity worksheets for students to predict and record their results after 100 steps.

Problem Description:

The image shows a worksheet titled "100th Day of School Prediction Activity." The task involves predicting how far one will travel in 100 steps and then recording the actual results after taking those 100 steps. The goal is to solve this problem by explaining the process and providing a general solution.

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Solution Explanation:

#### Step 1: Understanding the Task
The activity requires two main components:
1. Prediction: Estimate how far you think you will travel in 100 steps.
2. Results: Measure the actual distance traveled after taking 100 steps.

#### Step 2: Making a Prediction
To make an accurate prediction, consider the following:
- Step Length: The average length of a person's step can vary based on their height and stride. For adults, an average step length is about 2.5 feet (or approximately 0.76 meters). For children, it is typically shorter, around 1.5 to 2 feet (0.45 to 0.6 meters).
- Total Distance: Multiply the average step length by 100 to estimate the total distance.

For example:
- If your average step length is 2 feet, then:
\[
\text{Predicted Distance} = 2 \, \text{feet/step} \times 100 \, \text{steps} = 200 \, \text{feet}
\]

#### Step 3: Conducting the Experiment
After making a prediction, measure the actual distance traveled in 100 steps:
1. Mark a starting point.
2. Take 100 steps in a straight line.
3. Measure the distance from the starting point to the endpoint using a measuring tape or ruler.

#### Step 4: Recording the Results
Compare the predicted distance with the actual distance:
- Prediction: The estimated distance based on your step length.
- Results: The measured distance after taking 100 steps.

#### Step 5: Analyzing the Difference
If there is a difference between the predicted and actual distances, consider factors such as:
- Variability in step length during the activity.
- Deviations from a perfectly straight path.
- Any external factors that might have affected the measurement.

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General Solution:

1. Prediction:
- Estimate your average step length (e.g., 2 feet for an adult, 1.5 feet for a child).
- Multiply the step length by 100 to get the predicted distance:
\[
\text{Predicted Distance} = \text{Step Length} \times 100
\]

2. Experiment:
- Take 100 steps in a straight line.
- Measure the actual distance traveled.

3. Comparison:
- Compare the predicted distance with the actual distance.
- Note any discrepancies and explain possible reasons.

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Example Worksheet Filling:

#### Left Worksheet:
- Prediction: I predict that in 100 steps we will be 200 feet away.
- Results: After 100 steps we ended up 210 feet away.

#### Right Worksheet:
- Prediction: I predict that in 100 steps we will be 150 feet away.
- Results: After 100 steps we ended up 165 feet away.

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Final Answer:

\[
\boxed{\text{Predict the distance based on step length, then measure the actual distance after 100 steps.}}
\]