Fire

• ## Fire

Grade: 3rd to 5th, 6th to 8th, High School

Choose a starting place for a wildfire and enter the probability that it will spread; then, watch the results as the fire weaves through the forest or burns itself out.

### Instructions

• Select a probability from the drop-down menu, or enter a custom probability in the box. If you enter a probability, it must be a value between 0 and 1.
• Choose Burn Uninterrupted to watch the fire spread rapidly. Choose Burn Step-by-Step to see the fire progress more slowly.
• If the Step-by-Step option is selected, you can advance the fire by clicking the Step Through Fire button below the forest.
• Click on any tree in the forest to begin the fire. (The Highlight Center Tree button will show the tree in the exact middle of the forest.)
• After a fire has burned, you can choose an unburned tree to start another fire, or you can choose Re-Grow Forest to restore all of the trees.
• The Results box will display the percent of the forest that burned. It will also say how many iterations were required for the fire to burn out.

### Exploration

Use this tool to simulate a fire in a densely populated forest.

The probability indicates the likelihood of a tree catching on fire, given that an adjacent tree is on fire. Investigate the results for various probabilities.

• What portion of the forest is destroyed?
• How does the probability relate to the number of trees that burn?

### Objectives and Standards

NCTM Standards and Expectations
• Algebra
• Probability / Data Analysis and Statistics
• 3-5
• 6-8
• High School (9-12)
• Algebra
• Data Analysis and Probability