Linear Equations

Lesson

- To practice creating linear equations to model real life situations.
- To practice finding slope and intercepts.

- Stopwatch
- Pen and Paper
- Internet
- Measuring Tape

- Determine a procedure to measure how many steps you take in $1$1 minute, and in $3$3 minutes. Make sure you take into account any factors that may affect your data
- Gather any materials you may need to do this. Then perform the experiment.
- Record all of your data in a table
- Find the unit rate for your data.

- Create an equation for how many steps you take per minute using the equation $y=mx+b$
`y`=`m``x`+`b` - Will this equation produce either a vertical or horizontal line? Why or why not?
- What kind of slope will the function have? How do you know?
- In your own words describe what slope is. Interpret this in the context of the problem.
- Graph the function. Put time on the x-axis and the number of steps taken on the y-axis. Be sure to label axes and title the graph.
- What are the $x$
`x`and $y$`y`intercepts of the graph? Does this make sense in the context of the situation? - Work with a partner to answer the rest of the questions.
- Compare your functions. Who walks faster? How do you know?
- Brainstorm some ways to determine how many steps it would take for you to walk across the United States.
- Pick the method you think will be most accurate to estimate the number of steps it takes to walk across the country and compute it.
- How long would it take you to walk across your country? Compare with your partner.