AP Calculus BC – Mathematician Research, Graph Theory, Greek Letter, & Song Rubric

The goal of this project is for you to be informative, instructive, interactive, and creative on researching and presenting knowledge of Graph Theory & Mathematicians and their contributions.

1. The class will be divided into 6 groups. 2. Each group will create an informative “Clean & Legal” presentation. 3. Song

a. Create an ORIGINAL song and/or music video about a Calculus concept performed by 1 or more group members.

b. Print a typed copy of the song/lyrics with the name of the tuned used. c. Songs should be between 2 – 3 minutes in length. d. No references should be made to anything illegal or immoral.

4. Mathematicians’ Research: a. Each group will select five Mathematicians. b. 2 Mathematicians must be from the following list of 14 Graph Theorist:

Hadwiger Hamilton Kirkman Harary Cayley De Morgan Kirchoff

Dirac Sylvester Polya Guthrie Erdos – Renyi Berge Hassler Whitney

(Helpful website of Mathematicians www-history.mcs.st-and.ac.uk/Day_files/Year.html) c. The remaining 3 mathematicians selected must show a variety of NEW conceptual

growth and research. i. Each group will research, demonstrate, and/or teach 1 – 3 concepts from the

groups’ mathematicians. d. Additional Information:

i. Mathematician’s Name, Picture (if available), & Life Dates. ii. List of Major Mathematical, Scientific, and/or societal contributions

- Strange, humorous, and/or odd anecdotes about the mathematician’s life

iii. Sited resources using MLA format from your English class. iv. Provide detailed problems and solutions depicting the mathematical

contribution(s) of the mathematicians that relate to a new mathematical concept and/or Graph Theory.

e. Students’ Biographical Section: - Student’s Name - Information from sections i and ii, a list of interests, college plans, career plans, life goals, & any additional anecdotes.

5. Graph Theory Theme: a. REVISE each theme and base the activities in Raleigh, NC; Wake County; and/or NC.

Bike/Nature Trails Designing Recycling Routes Snowboarding at NC Ski Resort

CAT Bus Route Asheboro Zoo Redo A Traveling Rock Band Schedule

Ted the Taxi Man Thanksgiving Dinner The Show Must Go On

Picking Up The Pieces Transportation Dilemma Tendency To Be Tardy

Colors of the State The Unsuspecting Bridge Inspector

Ink Shortage

AP Calculus Concept/Tutorial Song

10 pts Song Performance – 1 or more group members

5 pts Calculus Concept/Tutorial

5 pts Song Lyrics/tune (Typed Copy) & Song Length (2 -3 minutes)

b. UPSCALE each project to demonstrate/include as many Graph Theory terms and

concepts within each visual/oral presentation. c. List all of the Graph Theory terms and demonstrate where they are located within the

"Graph Theory Project" - (The list and location of terms/concepts must be TYPED!!!)

6. Greek Letter a. Create a design using a letter of the Greek Alphabet.

i. Each person will be given a Greek letter. ii. Create a picture using the given letter. Make sure the letter itself is prominent

in the design. iii. Include the name of the letter in the design. iv. Final designs will be judged by other math teachers to select a winner.

b. Create one picture as a group that includes all the Greek Letters from a single group. i. Letters must be the same size.

ii. All letters must be incorporate into one design. iii. Final designs will be judged by other math teachers to select a winner.

7. Tentative Presentation Timeline ≈ 40 min:

a. Mathematical Concepts/Connections ≈ 15 min

b. Game w/ Mathematicians ≈ 15 min

c. Graph Theory Theme ≈ 5 min

d. Song & Summary ≈ 5 min

20 pts Graph Theory usage, Game instructions, & Class Involvement

20 pts Detailed Research on 5 Mathematicians

(2 Graph Theory & 3 New Math concept Mathematicians) (correct info)

20 pts Creativity, Organization, and Originality of Mathematicians’ Game

10 pts List of Graph Theory terms and/or Concepts & Group Member’s Names

5 pts Raleigh, Wake County, and/or NC Graph Theory Theme Usage

5 pts Promptness (10 pts = on time or 10 pts off for each day late)

May 21st, May 22nd, or May 23rd (No Seniors can present on May 23rd)

80 pts Total Possible Points

Greek Letter

10 pts Individual Greek Letter Picture

10 pts Group Greek Letter Picture, Visual Appeal, & Organization

5 pts Individual Letter Ranking & Group Letter Ranking

Good Luck & Have Fun!

Potential Grades Successful upload of activities to

Ms. Blackwell’s Google Classroom File

Unit Test

100, 95, 90,

80 tentative,

70, 60, 50, 20, or 0

Clarity of Oral Presentation, Quality of Work,

Appearance, Level of Difficulty, Group Ranking,

& Overall Project Appeal

Quiz (80 + 20) Mathematician Research, Graph Theory Game, & Song

Homework (30 + 25 + 25 + 20) Class Involvement, Group Team work,

Greek Letter Pictures, & Student Biography

Promptness (10 – 20 pts off for each day late)

May 21st – May 23

rd

100 pts Total Possible Points

**Each of the Graph Theory Themes was developed by the University of Colorado at Boulder with Professor Dominic Peressini as the lead Project Director on what was called “The Discrete Math