Algebra II 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 may be on
lined or unlined paper and may be typed or hand written. 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.
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 with
each unit page in a page protector (to keep them nice in the future!!) and all of
these pages should placed in a simple binder.
4. Grading—
Content—70%
Neatness—30%
Five points per day will be deducted for late portfolio work.
Unit 1: Functions
1.
2.
3.
4.
5.
6.
7.
8.
9.
Definition of function
Examples of add, subtract, multiply, &divide functions
Example of function composition
Steps for finding the inverse of a function with example
Sketches of parent functions for linear, quadratic, square root, & absolute value
functions
Rules for transformations
Slope formula
Point-Slope formula
Example of finding the equation of a line given two points
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
Unit 3: Radical Functions
1. Exponent Laws (6)
2. Parts of a radical--radicand, index, radical sign
3. Rules for Simplifying Radicals
4. Explanation of rationalizing denominator with example
5. 1 example each of add/subt/mult/div radicals
6. Examples of solving radical equations
7. Venn Diagram of Complex Number System
8. Powers of i
Unit 4: Factoring
Blue Factoring Flow Chart
Unit 5: Quadratics
1. Standard form and vertex form of a quadratic
2. Graph with vertex, line of symmetry, max/min, and zeros clearly labeled
3. List of methods to solve a quadratic (factoring, square root method with
completing the square, quadratic formula, graphing)
4. Example of solving by factoring
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 6: 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. Fundamental Theorem
8. “Tricks”
9. Steps to follow for solving a polynomial with one example.
10. One example of finding a polynomial given its roots.
Unit 7: Rational Functions
1. Definition of rational function.
2. Example of simplifying rational expression and giving restrictions
3. Example of multiplying rational expression
4. Example of add/subtract rational expression
5. 1 example of complex rational expression
6. How to find hole
7. Rules for Horizontal Asymptotes
8. 1 Example of graphed rational function
9. 1 example of solving rational equations
10. 1 example of solving rational inequality
Unit 8 Exponentials and Logarithms
1. Graph of parent functions for expo & log with domain, range, asymptote, and
intercepts.
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 for solving exponential and logarithmic application problems (compound
interest, continuous compounding, growth & decay) with variables defined.