"Mapping Your Way

Through Slopes"

a WebQuest for (grades 9-12) (Algebra/Geometry)

by Cheryl Burton

Introduction | Task | Resources | Process | Evaluation | Conclusion

Introduction

You are responsible for creating a portion of a map on paper or the computer to include various slopes and distances from one location to another within the map area.

The Task

You, the learner, will be able to effectively identify slope, standard form and slope-intercept form of linear equations. The task will be to:

• create your own map;
• create a summary;
• work cooperatively with others in your group (Note: Your group may include 3 or 4 students);
• keep a journal account of processes used;
• a creative idea of your map and various locations of places (restaurants, businesses, etc.

Math Hotlist

Wow!! This is a list of math sites that might be interesting to you.

Resources

Geometry in Action can be used to show some real world applications of Geometry. It contains brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages on the applications themselves and on their geometric connections.

Welcome! Mr. Giraffe's Homepage This web page is designed to help students and parents become familiar with Geometry and other math concepts.

The Slope of a line web site is an excellent source to review slopes.

Mr. G's The Slope of a Line is just a quick reminder of slope.

If you get in a bind, use The Graphing Helper to steer you in the right direction.

To jog your memory on Finding the Slope of a Line, click here.

Oops!! If you have forgotten all the formulas. Use this, Formulas to view, as a helper to keep you on track.

 

The Process

Graph the following according to the given information.

Street A passes through points (2,-3) and (-1, -9). Write its equation in slope-intercept form.

Street B has a slope of 3 and y-intercept of -4. Write its equation in standard form.

Street C is perpendicular to the y-axis and passes through (-6, 4). Write its equation.

Street D has an x-intercept of 5 and y-intercept of -1. Write its equation in slope-intercept form.

Street E has a y-intercept of 11 and crosses Street G at (2,5). Find its slope. Write its equation in standard form.

Street F has an equation of y = x + 4. Find its slope and y-intercept.

Street G has a slope of -2 and y-intercept of 1. Write its equation in standard form.

Street H is parallel to Street A and goes through (7, -5).

Street J is perpendicular to Street F and goes through (3, -5). Write its equation in standard form.

Street K has no slope and goes through (-8, 6).

For lunch, you want to go to McDonald's, which is on the corner of Street H and Street G. I want to go to Wendy's, which is on the corner of Streets A and G. Find the shortest distance from the two restaurants.

Your family is having a reunion in town and Aunt Mable is staying at the Hilton Hotel, which is at the corner of Streets F and B. Uncle Ben is staying at the Holiday Inn located at the corner of Streets F and G. What is the distance from the two locations?

Streets J, F, and G intersect to form a right triangle. Find the perimeter of this triangle on your map.

Evaluation

Your final score will be come from four categories:

1. content

2. mechanics

3. technical requirements

4. oral presentation and cooperative group work.

The rubric document briefly summarizes the criteria expected.

Conclusion

You will have accomplished and learned to successfully find the slope of lines and use the standard form, slope-intercept form, distance equation interchangeably.