Algebra 2 Tip Sheet The tip sheet is to be: 1. Completed on a half poster board. (You may write on the front and the back.) 2. Completed with the topics in the order in which they are listed on this handout. 3. Laminated at the office store of your choice. You can make up to a 104. Neatness and following directions count. If the tip sheet is not laminated, then 20 points will be deducted from your grade before I start grading the individual components. If the tip sheet is not neat and organized according to the listing of the topics, then up to 20 points will be deducted from your grade before I start examining your tip sheet. In addition, if I cannot read something, then you will not receive credit for including that portion of the material. You MUST provide an example for each item, unless it is specified that an example is not needed. The tip sheet should be completed by you and in your handwriting, unless you get my prior approval to do otherwise. The tip sheet is due on May 17 (A Day) and May 18 (B Day). There will be a 20-‐point deduction for each school day (A or B) that the tip sheet is late. The tip sheet counts for TWO quiz grades. This means that if you do a great job on it, your quiz average can be improved greatly. This also means that if you do a poor job on it, your quiz grade can be damaged greatly. (Remember that ONE quiz grade is dropped … so if this is your worst quiz grade, then one of the two entries of this grade will be dropped but the other will remain in your average.) Algebra 2 Tip Sheet Topics You will need to demonstrate the following concepts completely through examples with explanations and, when applicable, graphs and/or drawings. You MUST provide an example for each item, unless it is specified that an example is not needed. Chapter 6 (12 points) Provide a single example that shows how to find/do the following for a quadratic function: 1. Y-‐intercept 2. Axis of symmetry 3. Vertex – and maximum/minimum 4. Roots (zeros) 5. Table of values centered around the vertex 6. Graph the parabola Chapter 7 (26 points) Provide an example for each: 1. Finding a the value of a polynomial function for a specific x-‐value using traditional substitution. 2. Finding a the value of a polynomial function for a specific x-‐value using synthetic substitution. 3. Solving a polynomial equation by factoring and using the zero product property 4. Solving a polynomial equation by putting it in quadratic form 5. Descarte’s Rule of Signs 6. Writing a polynomial function of least degree given the zeros of the polynomial 7. Listing all of the POSSIBLE rational zeros of a polynomial function 8. Finding ALL zeros of a polynomial function without using the graphing calculator
9. Finding ALL zeros of a polynomial function using the graphing calculator to find the real zeros 10. Conducting the composition of two functions 11. Testing two functions to see if they are inverses of each other 12. Determining the end behavior of a polynomial function ( an example must be shown for each of the four cases) 13. One example showing how to find the zeros and maximum/minimum value of a polynomial function on the graphing calculator
Chapter 8 (24 points) Provide ONE example for EACH type of conic. Make sure it shows: a. How to determine that a given equation is that type of conic b. How to find all the critical parts of the conic (center, vertex/vertices, focus/foci etc., c. How to graph that type of conic. *Each part: a, b, and c will be worth 2 points 1. Parabola 2. Circle 3. Ellipse 4. Hyperbola Chapter 9 (14 points) Provide an example for each: 1. Adding polynomial expressions 2. Subtracting polynomial expressions 3. Multiplying polynomial expressions 4. Dividing polynomial expressions 5. Solving a polynomial equation 6. Solving a polynomial inequality 7. Using (ra)2tey to analyze a polynomial function and graphing a polynomial function Chapter 10 (14 points) Provide an example of each: 1. Simplifying exponential expressions 2. Finding an exponential function that goes through two points 3. Solving exponential equations using the same base 4. Going back and forth between logarithmic and exponential form 5. Solving exponential equations using logarithms 6. Solving logarithmic equations 7. One word problem with exponents Chapter 11 (14 points) Provide an example for each: 1. Finding the indicated term for an arithmetic sequence 2. Finding the sum of the first n terms of an arithmetic series 3. Finding the indicated term for an geometric sequence 4. Finding the sum of the first n terms of an geometric series 5. Sigma notation (either type of series) 6. Finding arithmetic means 7. Finding geometric means