Lesson Plans

It is that time of the semester where I am preparing to teach a unit on ratios and proportions... hence why posts have been a little scarce.  In this post, I want to showcase some of the island themed problem creations for my unit. 

Problem 1

Suppose the Tahitian Princess cruise ship has sailed 100 nautical miles in the past 5 hours.  Find the average speed and be sure to use the correct label.

Problem 2

A parasailor is going for a thrill ride moving 144 feet in 6 seconds.  Find average the average speed using the correct labels.

Problem 3

A cruiser in the South Pacific could not seem to give up the cell phone…  While talking away about how stunning Bora Bora is, a cell phone bill was racked up of $366.  Assuming the international roaming charge was $6 per minute, use a ratio to determine how long was spent on the phone to the cost per minute.

Problem 4

St. Regis is a luxurious (and expensive!) resort in French Polynesia with world famous overwater bungalows.  Suppose that 50 bungalows are booked for 9 nights resulting in $50,000 of revenue for the resort the first night, there was an increase in the rates the second night which resulted in $60,000 of revenue for the resort, the third night the hotel had $70,000 of revenue. 

 daily rate is what is charged per night.

Revenue divided by 50 bungalows

revenue = Daily rate multiplied by 50 bungalows 

(a) Find the daily rate of the first three nights.

(b) Notice a pattern with the daily rates and revenue for first 3 days? Model the same daily rate and revenue pattern through day six on a graph.

(c) Model a $60,000 decrease in revenue over the course of day seven through day nine in the graph. What is the revenue for day seven, eight, and nine?

(d) What would the daily rates for day seven, eight, and nine be? Model this decrease on your daily rates graph.