Title #1 : FUNCTIONS AND GRAPHS IN THE NEWSPAPER

Task Description : Use a newspaper that is published daily. Read it for several days. Find 6 to 8 graphs you think are interesting. Look for a variety of subjects and shapes of graphs. Tell whether each graph represents a function. Identify its domain and range. Make up at least one question that can be answered by graph.

Materials : national newspapers

Output : computerized or cut-outs

Rubric : Originality           10
              Promptness         8
              Neatness             7
              Relevance            5
                           Total      30 pts.

Title #2 : PROJECTILE MOTION

Task Description : Paths of objects other than batted baseballs are almost parabolic. Find out about other objects that travel in parabolic paths. Make a poster or write a brief report illustrating and describing these paths. Find equations for some of the paths.

Materials : cut out or scanned pictures

Output : collage, drawing, or painting

Rubric : Originality           10
              Neatness             9
              Promptness         6
              Effort                  5
                           Total     30pts.

Title # 3 : HISTORY OF QUADRATICS

Task Description : Throughout this chapter on quadratics we have mentioned people who have contributed to our understanding of quadratic functions and equations. Make a time line marking important dates in this history. Consult a book on the history of mathematics and other references to find out about others who contributed to this history and include their work on your time line.

Materials : Math textbook, internet, and encyclopedia

Output : computerized report

Rubric : Content             10
              Originality          9
              Neatness           6
              Promptness       5
                            Total   30 pts.

Title #1 : SECTIONS OF CONES

Task Description : On page 747, an ellipse, a hyperbola, and a parabola are shown as the intersections of a plane and a double cone. Make four models of a double cone out of paper that is thin enough to be bent yet thick enough to be sturdy. Intersect these models with planes to form each type of conic and also a circle.

Materials : cartolina, bondpaper, cardboard

Output : model

Rubric : Originality             10
              Neatness              8
              Effort                    7
              Promptness           5
                           Total       30 pts.

Title #2 : REFLECTION PROPERTIES OF THE CONICS

Task Description : Parabolas, ellipses, and hyperbolas are used in telescopes, whispering galleries, navigation, satellite dishes, and headlights because they have reflection properties. Describe the reflection property for each of these conic sections, and illustrate the property with accurate drawings.

Materials : any drawing materials

Output : drawing or painting

Rubric : Originality             10
              Neatness              9
              Promptness           6
              Effort                    5
                         Total         30pts.

Title #3 : ORBITS OF THE PLANETS

Task Description : The orbits of planets around the sun are ellipses with the sun at one focus. Describe these ellipses, giving the major and minor axes for the orbit of each planet and indicating the nearest and farthest distances of each planet to the sun (these are called the planets perihelion and aphelion, respectively). Draw two accurate pictures of these orbits, one with the inner four planets, the other with the outer five planets. The closeness of an ellipse to a circle is measured by the eccentricity of the ellipse. Give the eccentricity of each orbit and tell how it can be calculated.

Materials : any drawing materials

Output : drawing or painting

Rubric : Originality            10
              Neatness            9
              Promptness         6
              Effort                  5
                       Total        30 pts.

Title : WEB PAGE MAKING IN MATH(Adv. Algebra & Trigonometry) LESSONS

Task Description : A group of four(4) students will create a web page of a particular lesson in Math using Netscape Composer, internet, or web page designing software. This web page must be published/uploaded to any sites. This project aims to help students integrate Information Technology(IT) in Math. It also allows students to access the lessons in Math through the Net.

Materials : lessons or sites in Math

Output : the site published or the Universal Resource Locator(URL)

Rubric : Presentation           10
              Organization           9
              Originality               6
              Promptness             5
                             Total       30 pts.

Title : MUSIC IN MATH

Task Description : A group of five(5) students will compose or edit a song in such a way that the lyrics may contain some mathematical terms or lessons in math particularly Advanced Algebra. They may pattern a particular song and just changed some of the lyrics. This is to be performed in class. The main objective of this project is to let students feel that Math and Music is interrelated and interconnected. This may also uplift their interest in studying Math. This is a better avenue for students to integrate Music in mathematical perspective.

Materials : guitar, cassette/VCD player, minus-one/multiplex tapes

Output : recorded CD or cassette tape with lyrics