Precalc Content Index, © '00 Azzolino

1: 1/28-2/15

1/27/00

• order of operations
• distance between 2 points
• slope

2/1/00

• graphing lines, parabolas
• distance between 2 points
• slopes of lines

2/3/00

• writing and graphing equations of lines
• graphing parabolas
• evaluation of function, ex.: f(3)
• calculator graphing and ZOOM, WINDOW, TABLESET, and TABLE

2/8/00

• basic functions-- square root, identity, ...
• curve shifting y = f(x - h) + k
• sketch (accurate labeled brief picture) vs.
  graph (accurate point-plotted and generalized)

2/10/00

• basic functions
• curve shifting & graphic composition of basic function

2/15/00

• graph, domain, range. identity function, reciprocal function, square root function, argument, radicand
• curve shifting
• evaluation of functions
• expanding a binomial

2: 2/17-2/22

2/17/00

• The greatest integer function, window, ZOOM
• function vs. relation
• step function
• calculator graphing in connected vs dot mode
• using TRACE and ZOOM to find roots on the graphing calculator
• not displaying a stored function

2/22/00

• polynomial, asymptote
• odd and even functions
• basic polynomial functions
• composition of functions

3: 2/24-3/2

2/24/00

• asymptote
• inverse functions -- graphically

2/29/00

• questions on odd, even functions
• questions on inverse functions

4: 3/7-3/16

3/7/00

• distance as a function of time
• a volume function

3/9/00

• an area formula/function
• solving equations graphically
• solving w/TI83 and TI85-86 calculators
• polynomial solver
• types of solutions of any equation

3/14/00

• quadratic formula, discriminant, real number, rational number
• Using the calculator to complete the quadratic formula

3/16/00

• Solving absolute value equations
• expanding a binomial
• extraneous roots

5: 3/29-4/6

3/29/00

• Solving systems of equations graphically
• Graphing absolute value inequalities

4/4/00

• Solving polynomial, linear , quadratic equations

4/6/00

• end behavior, zeros,
• See "A Line Dilated by A Line Yields A Quadratic" at dilation
• See how Polynomial Graphs are dilations of lines and quadratics.
• Solving equations w/pencil & paper techniques.

6: 4/13 - 4/20

4/13/00

• end behavior and polynomial & rational functions

4/18/00

• Dilation and Polynomial functions.

4/20/00

• evaluating functions with a calculator
• using the the division algorithm to graph polynomial functions
• Graphing polynomial functions

7: 4/25 - 4/27

4/25/00

• Evolution of numbers, read Imaginary Numbers Are Not Imaginary.
  

  COMPLEX NUMBER   -- solves all ax² + bx + c = 0

  a + bi, where a is not 0, b is not 0, where i² = -1

  a + bi, where a is 0, b is not 0, where i² = -1 -- These are pure

  IMAGINARY

  a + bi, where a is not 0, b is 0, where i² = -1 -- These are pure

  REAL NUMBER -- solves x² - 4 = 0

  IRRATIONAL -- solves x² = 3

  RATIONAL -- solves 4x = 3, x² = 4

  INTEGER -- solves x + 4 = 3

  WHOLE NUMBER -- solves x + 4 = 4

  NATURAL NUMBER

        -- solves x + 4 = 6

4/27/00

• rational functions