Tuesday, March 27, 2012

Exponential and Log Functions

Exponential and Log functions are inverses of each other.  That is the most important thing to remember about them together.  We have been studying functions where x is the base and the exponent can be positive, negative or fractional.  Now we will study functions where the base is a number and the exponent is the variable.

Note:  I am not following the order or the emphasis of the book so we will have handouts everyday but this material is covered in Chapter 6.

3/28  Intro to Exponential functions
         HW finish handout
3/29  Intro to Logarithmic functions
         HW finish handout
3/30  End of Term 3

4/02  Base e and solving for any variable in y = b^x
         HW finish handout
4/03  Exponential word problems
         HW finish handout
4/04  Properties of logs (and their proofs)
         HW p.382/18-69 by 3's, 72, 73
4/05  Skills quiz (A-Block), Properties of Logs (B-Block)
         HW (A-Block) p.368/38-46 even and p.398/62-70 even, 71

4/06  Good Friday - no school, lose B-Block class

4/09  Compound and Continuous Interest (A-Block), Skills quiz (B-Block)
         HW (A-Block) p.367-368/29-35 odd, 36, 52, 53
4/10  Log Application problems
         HW finish handout
4/11  Review (A-Block)
         HW finish handout (answer key online)
4/12  Test (A-Block),  Review (B-Block)
4/13  Test (B-Block)

April Vacation 4/14 - 4/22

Tuesday, March 13, 2012

Radical Functions

The rest of Ch 8 is about Radical functions, functions where the exponent on the x is a fraction.  As usual we will work through defining, simplifying and solving.

3/12  Definition, graph, transformations of Radical Functions
3/13  Test of Rational Functions
3/14  Functions and Inverses, Simplifying and Evaluating
        HW p.525-527/11, 15, 19, 23, 25, 29, 33, 37-51 odd, 52, 53, 59-65 odd, 66-72
3/15  Operations with Radical Functions
        HW p.533-535/15 - 75 by 5's, 78, 81, 84, 87, 90-92, 111-113

3/19  Radical "Tricks"
        HW finish handout
3/20  MCAS (no B-Block) Solving Radical Equations
        HW p.542-543/11-41 odd, 53, 55, 57, 63, 73-77 odd
3/21  MCAS (no A or B-block)
3/22  MCAS Solving Radical Equations - 2nd day for A (see 3/23), 1st for B (see 3/20)
3/23  Solving Radical Equations (2nd day for B-block)
        HW p.542-543/18-42 even, 48-60 even, 61, 62, 72-76 even

3/26  Review Radical Functions
3/27  Test of Radical Functions