Algebra 2A Quarter 1 Project

STAINED GLASS

Lesson Description: Stained Glass Window is a project that requires students to write graph Linear Equations in order to create a colorful display window, while working with mathematics. Each student will write a set of at least 15 linear equations. These equations will be a combination of vertical, horizontal, parallel and perpendicular lines. This visual project will help students identify the equations of horizontal and vertical lines. It will also allow students work with the slopes of parallel and perpendicular lines. Key vocabulary will also be developed.

Math Content: Linear Equations, Graphing Linear Equations, Parallel Lines, Perpendicular Lines, Standard Form, Slope, y-intercept.

Content Objectives:

· The student will be able to write and graph a set of parallel equations.

· The student will be able to write and graph a set of perpendicular equations.

· The student will be able to write and graph an equation for vertical and horizontal lines.

Language Objectives:

· The student will explain how the slopes of parallel lines are related.

· The student will describe the slope of a vertical line.

· The student will describe the slope of a horizontal line.

Materials: rulers, graph paper, pencils, colored markers

Grade Level: Algebra 2 (college or honors)

Procedure: As a class, complete the stained glass window worksheet. Students will need to write and graph linear equations to complement a given set of equations. The combination of both will create a sample stained glass window. Students will write the devised linear equations in Standard Form for homework.

Next, the students will need to write and graph two vertical equations and two horizontal equations to give the dimensions of their window. Then the student will write a series of parallel and perpendicular equations to create a visually pleasing stained glass window. Once the graph is complete, color will be added.

Finally, students will complete a worksheet where each equation necessary to construct the window is written in both y = mx+b and in Standard Form. The worksheet will require students to label a set of perpendicular equations, a set of parallel equations, vertical equations, and horizontal equations. To complete the project, the student will submit a separate sheet with all vocabulary used in the project.

Name______Sample Stained Glass Window

1. Graph the following equations on a coordinate plane (held vertically)

y = 18 y = -18 x = 12 x = -12

What is the slope of each equation?

2. Graph the set of equations.

y = 4x – 8 y = - ¼ x – 8

Classify this pair of lines. Explain your reasoning.

3. Graph the set of equations.

y = 4x + 8 y = 4x

Classify this pair of lines. Explain your reasoning.

4. Write an equation of a line that complements the lines from #s 1, 2, and 3.

Is this line parallel or perpendicular to any of the other given equations? Explain

your reasoning.

5. Continue to add at least 5 lines to complete the construction of this window. List the additional equations below.

Remember, the final product should be pleasing to the eye.

HOMEWORK: On the reverse of this page, write all of your equations in standard form. Then, add color to your window.

Stained Glass Window

Stained glass is an art form in which colored glass is cut into shapes and placed into a mosaic to form a picture. The glass is held in place by metal strips soldered together to gives the stained glass strength and stability.

You will create your own stained glass window using linear equations. Remember the examples viewed in class when designing your window. Be sure to use color to enhance your creation.

STEPS

1. Make an outline of a window that will enclose your design. Write those equations in slope-intercept form.

2. Add a set of parallel lines to the inside of your window. This set can be as small as 2 lines, but as large as you wish. Write two of the equations in Standard Form.

3. Add a set of perpendicular lines to the inside of your window. Again, you need to include at least 2 lines in this set. Write two of the equations in Standard Form.

4. Add a horizontal line and a vertical line to the inside of your window.

5. Fill in the window with other lines that you can use to enhance your design.

6. Add color to your window. Remember, the color should be bright and vibrant.

7. Complete the YOUR STAINED GLASS WINDOW worksheet.

Your construction must contain a total of 20 lines. You must include four of each:

Horizontal lines, vertical lines, perpendicular lines, parallel lines.

GRADING

Worksheet 40 pts

Window 30 pts

Design & Color 10 pts

List of Equations 20 pts

TOTAL 100 pts

This quarterly assessment is due on ______.

This assessment contributes to 25% of your final grade.

LATE or incomplete work is NOT accepted.

Name______

Project Worksheet

Respond to each question completely. Use complete sentences when necessary.

1. Parallel Lines

a. Give a set of parallel lines from your window written in Standard Form. Show your work.

b. Describe the slopes of parallel lines.

2. Perpendicular Lines

a. Give a set of perpendicular lines used in your construction, written in Standard Form. Show your work.

b. Describe the slopes of perpendicular lines.

3. Horizontal Lines

Write an equation of one of the horizontal lines used in your construction. Describe the slope of a horizontal line.

4. Vertical lines

Write an equation of one of the vertical lines used in your construction. Describe the slope of a vertical line.

5. On a separate sheet of paper, list all of the equations necessary to construct your window. Remember each of the requirements listed on the rubric. Any format (point-slope, slope-intercept, Standard Form) is acceptable.