Algebra II Honors Portfolio
Philosophy:
A portfolio should be a useful document for the person who makes it. In Algebra II
Honors your portfolio should be useful to you as you study for each unit test, semester
test, and End-of-Course test. It should also be a tool that you can use in your next math
classes. In order for it to be useful, it must be readable and concise. Making a portfolio
should force you to think about what is really important in each unit of study. When you
make your portfolio, you should always be thinking about what you might forget that you
will need to know in the future. Give examples that are meaningful to YOU, draw
pictures if you think they will help YOU, etc. The portfolio is for you, not me, so make
sure that it meets your needs.
Directions:
1. Each unit of study will require ONE portfolio page (front and back). It should be
typed or hand written on unlined paper. If typed, two pages may be used—one
for the front and one for the back. Also, it may be done in either ink or pencil.
The page should then be place in a page protector (to keep them nice for the
future!!).
2. The portfolio page for each unit will be due on the day of the unit test.
3. On the day of the End of Course test, the total portfolio must be turned in in a
simple binder for one final check.
4. Grading—
Content—70%
Neatness—30%
Five points per day will be deducted for late portfolio work.
Portfolio Content
Unit 1: Relations and Functions
1.
2.
3.
4.
5.
6.
Definition of function, onto, & one-to-one with examples
Example of add/subtract function
Example of multiply function
Example of composition of functions
Steps for finding inverse with example
Transformation Rules
Unit 2: Systems of Equations
1. Definition of System of Equations
2. Example showing how to solve by graphing.
3. Explanation of Classifications
4. Example showing how to solve by substitution
5. Example showing how to solve by elimination.
6. Graph of a system of linear inequalities
7. Steps for linear programming
Unit 3: Radical Functions
1. Exponent Laws(5)
2. Parts of a radical--radicand, index, radical sign
3. Def Rational Exponents
4. Rules for Simplifying Radicals
5. Explanation of rationalizing denominator with example
6. Examples of solving radical equations with steps
7. Venn Diagram of Complex # System
8. Powers of i
Unit 4—Quadratic Functions
1. Standard form and vertex form of a quadratic
2. Example of finding average rate of change of a quadratic
3. List of methods to solve a quadratic (factoring, square root method with
completing the square, quadratic formula, graphing)
4. Graph with vertex, line of symmetry, max/min, and zeros clearly labeled
5. Steps involved in completing the square and an example
6. Quadratic formula with an example
7. Definition of discriminant and description of information it gives about solutions.
Unit 5 Portfolio—Polynomial Functions
1. Polynomial classifications (linear, quadratic, cubic, etc.)
2. Chart about end behavior
3. One example of the graph of a polynomial completely labeled.
4. Factor Theorem
5. Remainder Theorem
6. Rational Root Theorem with example of finding all possible rational roots.
7. Complex Conjugates Theorem
8. “Tricks”
9. Fundamental Theorem of Algebra
10. One of example of finding all roots of a polynomial
11. One example of finding a polynomial given its roots.
Unit 6 Portfolio—Rational Functions
1. Definition of rational function.
2. Example of simplifying rational expression
3. Example of multiplying rational expression
4. Example of add/subtract rational expression
5. 1 example of complex rational expression (fraction divided by a fraction)
6. 2 examples of solving rational equations
7. Steps for graphing rational equations with 1 example
Unit 7 Exponentials and Logarithms
1. Graph of parent functions for exponential growth, exponential decay, & log.
2. Steps for solving exponential equations by matching bases with 1 example
3. Meaning of various log forms (log, ln, logb)
4. Example of switching exp to log and log to exp
5. Properties of logs
6. One expansion example
7. One rewrite as single log example
8. Formula forms for solving exponential and logarithmic application problems
(compound interest, continuous compounding, growth & decay) with variables
defined.
Unit 8—Sequences and Series
1. Formula for writing nth term of A.S. with example
2. Example of finding arithmetic means
3. Formula for finding sum of A.S. with example
4.
5.
6.
7.
Formula for writing nth term of G.S with example
Example of finding geometric means
Formula for finding sum of G.S. with example
Formula for finding sum of converging infinite G.S. with example