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### Rates and Taxes

*Mathematics Teacher*.

### Reflect On This

*Navigating through Geometry in Grades 9‑12*, requires students to investigate reflections using hinged mirrors. With a kaleidoscope, students will examine the interior angles of regular polygons.

### Smokey Bear Takes Algebra

*Mathematics Teacher*.

### Trigonometry for Solving Problems

*Mathematics Teacher*.

### Traveling Distances

*y*-intercept of the graph of real-life data. By examining the graphical representation of the data, students relate the slope and

*y*-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the resulting least squares regression line.

### Bathtub Water Levels

*y*-intercept of the graph of the real-life data. By examining the graphical representation of the data, students relate the slope and

*y*-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the least squares regression line.

### My Graph Is…

*y*-intercept of their least squares regression lines will help reinforce the concepts introduced in Lessons One and Two of this Unit Plan. The students are then given the opportunity to display their work.

### Gallery Walk

### Automobile Mileage: Year vs. Mileage

*y*-intercept in the resulting equation for the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and

*y*-intercept of the line and interpret them in the context of the real-life application. Students also make decisions about the age and mileage of automobiles based on the equation of the least squares regression line.

### Automobile Mileage: Age vs. Mileage

In this lesson, students plot data about automobile mileage and interpret the meaning of the slope and *y*-intercept
of the least squares regression line. By examining the graphical
representation of the data, students analyze the meaning of the slope
and *y*-intercept of the line and put those meanings in the context of the real-life application.

The activity is very similar to that in Lesson Five of this Unit Plan. However, by graphing the data in a different format, the students will produce a line with a positive slope in this activity, while the line in Lesson Five had a negative slope. Doing both lessons allows students to investigate how changing the independent variable affects the resulting graph and equation.