This activity is intended to supplement Algebra I, Chapter 7, Lesson 2.
Time Required: 15 minutes
In this activity, students will explore the motion of a boat going up and down the river. They will be instructed to solve the resulting system of equations algebraically and graphically. The transformation graphing application will allow students to explore the slope of a distance-time graph. Additional problems are provided for further practice.
Topic: Linear Equations
Slope and graphically solving equation
Teacher Preparation and Notes
The student worksheet provides instructions and question to guide the inquiry and focus the observations.
Problem 1 – Boat Motion & Graphically Solve
Ask students why the boat goes faster downstream than upstream. They should know that the boat goes with the current downstream making it travel more distance in less time. When the boat goes upstream, it has to fight the current.
Problem 2 – Distance-Time Graph, Explore Slopes
To solve this system of equations, students are to distribute and then add the first equation to the second.
2. This problem can only be solved algebraically.