Chapter 3 Mathematics Problem Solving: Averages
 
 
  1. The men in Alexander Ross’s party were paddling against the current on their trip up the Columbia River. If the men were paddling at a rate of 5 miles per hour and the current is running against them at a rate of 3 miles per hour, what was their net gain in mileage on a day when they paddled for 10 hours? Explain your thinking.

If the men were well rested, they could paddle much faster than 5 miles per hour. What significance does this have in determining the distance possible for each day of the trek? Explain your thinking.

  1. Rattlesnakes were a problem for the Ross party several times during their encampments. Knowing that rattlesnakes grow a new rattle with each year of life, research how many rattles they are born with and what the average lifespan of a rattlesnake is. Explain your thinking.

  2. In lesson 3.5, this journey ended at the mouth of the Oakinacken River. Explain your thinking on each of the following items:

    1. What was the average distance traveled each day? Consider the total length of the voyage in days and mileage.

    2. With a partner, go through the readings and list the layover dates (days with no travel).

    3. Considering several layover days and only the days when the group actually traveled, what was the average distance traveled each day?

    4. What supplies did the Ross party have when they reached Okanogan?

Bonus Questions

Click here for bonus questions to answer. These questions involve higher-level thinking skills for additional challenge.