Algebra I Questionbook - The Project
© '01, A. Azzolino
The project focuses on written and oral communications
skills and mastery of some topic in mathematics. Some project related questions are completed in class,
others "at home," others in the instructor's office. They include: choosing a topic, rough draft, final draft,
presentation, extra problem, web page.
The project includes:
- a 10-minute oral presentation to the class with a not-longer-than-2-page handout.
- preparation and submission of a draft of the hand-out for the presentation.
- conferences with the instructor to finalize the presentation and hand-out.
- presentation of the project to the class.
- an additional question and answer which might be used as a test question on your project.
- creation of a web page with final handout content.
The project questions are:
- Pr1. Obtain instructor's approval of title/topic.
- Choose a topic and through
an email message obtain the instructor's approval of a project topic
for a 10-minute lecture presentation on material covered in the course or related to the course.
- Pr2.& Pr3. Write and submit a draft of your presentation notes and hand out.
- Obtain approval of the a 2-page, 8-1/2" x 11" paper, draft of your project notes.
Notes should include:
- The Title
- Your Name, Semester & Year, Course Title
- notes on how this is done with examples
- notes on why this is done and examples
- a set of typical question (and answers)
- The draft serves two purposes:
- · It provides a written record of your oral presentation &
permits students to listen and supplement your notes rather that take extensive notes.
- · It is a prop or invisibe means of support reminding you
that you are the expert on the topic and have planned the presentation well.
- Pr4. Conference with prof.
- Have a conference with the instructor about the focus, content, and presentation of your project.
- This is not a formal meeting, just a few minutes of discussion, after the prof has reviewed
and made suggestions on you first draft or its revision(s) and because the draft is in need of further revision.
- If the prof feels after your revision(s) that a conference is not necessary, credit will be
given for the conference, but the meeting need not occur.
- Pr5. Obtain approval of the final version of your notes.
- Once obtained, an INK or COMPUTED PRINTED copy of the final version must be submitted to the prof to be
duplicated for the class and posted on the college web site.
- Pr6. Make your presentation to the class.
- Pr7. Write and answer, after you have made your oral presentation, one
additional test or exam question of "B student difficulty."
- Pr8. After approval of final draft, create a web page using this content.
Some of the Possible Project Topics or Titles
- Basic Arithmetic & Algebraic Expressions
- Order of Operations
- 0 ÷ 4 = 0 BUT 4 ÷ 0 is Undefined
- Signed Number Computation
- Any Number (OTZ) to the Zero Power is One
- Writing Expressions: Sum, Product, Difference, Quotient
- Writing Expressions with Term Tiles
- Writing Expressions: The other number when the sum of two numbers is ..
- Writing Expressions: Consecutive Integers
- Writing Expressions on the Graphing Calculator
- Evaluating Expressions with Term Tiles and Paper and Pencil
- Evaluating Expressions on the Graphing Calculator
- Properties of the Real Numbers
- Polynomial Expressions
- Laws of Exponents
- Scientific Notation
- Adding & Subtracting Polynomials with Term Tiles
- Adding & Subtracting Polynomials the Mentally, Horizontally, Vertically
- Multiplying Polynomials with Term Tiles
- Multiplying Polynomials the Long and Short Ways
- Dividing Polynomials with Term Tiles
- Dividing Polynomials
- Factoring Trinomials with Term Tiles
- Factoring Special Products
- The Sum and Difference of Two Cubes
- Factoring Ordinary Polynomials
- Factoring Trinomials where the Leading Coefficient Is Not One
- Equation Versus Expression
- Solving Equations with Term Tiles
- Solving equations using the graphing calculator
- Solving system of equation by graphing
- How to Solve Quadratic Equations by Factoring
- Solutions to Equations with One Variable and with Two Variables
- Linear Combination and Substitution
- Application Problems in Two Variables
- Consecutive Integer Problems
- Geometry & Algebra
- Angles and Computing Their Measures Algebraically
- Trinagles and Computing Their Sides Algebraically
- Area Formulas
- Solutions to Linear Equations: Symbolic
- Solutions to Linear Equations: Graphic
- Solution and Mixture Problems
- A Calculator Program for Slope
- Rational (Fractional) Expressions
- Addition of algebraic fractions
- Multiplying algebraic fractions
- Dividing a Polymomial by a Monomial
- Simplifying Complex Fractions
- Graphic Representation
- Writing Equations for Lines
- Graphing Linear Inequalities
- Irrational (Radicals) & Rational Expressions
- Simplifying Radical Expressions