CONTACT MR. ALDERMAN
Mr. Alderman's Classes
  • Home
  • AP Calculus AB
    • Unit 1 >
      • 0 - Pre-Calc Review
      • 1 - Limits, Derivatives, and Integrals
      • 2 - Properties of Limits
    • Unit 2 >
      • 3 - Derivatives, Antiderivatives, and Indefinite Integrals
      • 4 - Products, Quotients, and Parametric Functions
    • Unit 3 >
      • 5 - Definite and Indefinite Integrals
      • 6 - Exponential and Logarithmic Functions
  • Honors Physics
    • Unit 1 - Motion of Objects
    • Unit 2 - Forces and Motion
    • Unit 3 - Energy
    • Unit 4 - Waves
    • Unit 5 - Electromagnetism
    • Unit 6 - Modern Physics
    • Unit 7 - Astrophysics
  • Personal Finance
    • Unit 1 - Saving and Budgeting >
      • 1 - Introduction to Personal Finance
      • 2 - Saving
      • 3 - Budgeting
    • Unit 2 - Credit and Debt >
      • 4 - Debt
      • 5 - Life After High School
      • 6 - Consumer Awareness
    • Unit 3 - Financial Planning and Insurance >
      • 7 - Bargain Shopping
      • 8 - Investing and Retirement
      • 9 - Insurance
    • Unit 4 - Income, Taxes and Giving >
      • 10 - Money and Relationships
      • 11 - Careers and Taxes
      • 12 - Giving
  • Contact

Pre-Calc Review

Week 1

Topics for Review

At the start of the semester, these are topics we will review in order to be sure that each of you have the tools needed for success in Honors Calculus and in future classes.

Pre-Calculus Formulas

Equations of a Line
Point-Slope Form: y-y0=m(x-x0)
General (or standard) Form: Ax+By=C
Horizontal Line: y=b


Two-Point Form: y-y1=[ (y2-y1)/(x2-x1) ](x-x1)
Slope-Intercept Form: y=mx+b
Vertical Line: x=a

Geometric Formulas
Rectangle (width w, height h): Area=wh, Perimeter=2w+2h
Rectangle (base b, height h): Area=½bh
Trapezoid (parallel sides h1 and h2, and distance between parallel sides w): Area=½(h1+h2)w


Circle (radius r): Area=πr2, Circumference: 2πr
Sphere (radius r): Volume=4/3 πr3, Surface Area: 4πr2


Logarithms and Exponentials

  1. y=bx is equivalent to logb(y)=x
  2. y=ln x if and only if x=ey=exp(y)
  3. ln ex=x
  4. eln x=x
  5. exey=ex+y
  6. ex/ey=ex-y
  7. (ex)y=exy



  1. e0=1
  2. ln(xy)=ln x+ln y
  3. ln(x/y)=ln x-ln y
  4. ln(xy)=ylnx
  5. ln 1=0
  6. ln e=1

Other Topics for Discussion

  • What successful homework looks like
  • Properties of fractions (addition, subtraction, multiplication, division, and simplification)
  • Properties of trigonometric functions
  • Trigonometric identities
  • Properties of exponents, natural logarithms, and log base-e
  • Properties of logarithms (change of base, addition, subtraction, multiplication, division, and simplification)
Powered by Create your own unique website with customizable templates.