A broad range of math tricks and special formulas from pre-algebra to Calculus.
Can you find the mean of: 83, 90, 79, 82, 84, 88, 86, 83, 88, 81 in your head?!? This program teaches you a trick to figure it out and other math problems too! Great for SATs, GREs, and students of Algebra through Calculus.
There were 5 topics in version 1.0. There are 17 topics in version 1.01. I expect to add 5-10 more each month. The app is well worth 99 cents but it is free. I am in the process of writing "Quick Quiz code" to ALL of the topics (right now only the first bunch of 5 topics has computer generated quizzes). As for the topics, they are listed below:
Algebra Shortcuts And "Proofs"
Chapter 1: Axioms
Chapter 2: Addition and Subtraction Tricks
Chapter 3: Chicken And Rabbit Problems
Chapter 4: Averages
Chapter 5: Weighted Averages
Calculus Shortcuts for Calc AB (single variable)
NOTE!! Calculus tricks are MUCH more difficult to prove and use.
Chapter 6: Area Lesson 1
Chapter 7: Area Lesson 2
Chapter 8: Volumes
Chapter 9: Incomplete.
Chapter 10: Six Integrals You MUST Know
Divisibility
What are the tricks to find out if four digit numbers are divisble by say 8?
Chapter 11: Divisibility by 5 and 10 and 100 and 1000
Chapter 12: Divisibility of 3 and 9
Chapter 13: Divisibility of 2, 4, and 8
Chapter 14: Divisibility of 6 and 15
Random Stuff: Non-Curriculum
Example: You have a binary 1010010101010111101010101010 is base 2. What is the same number in base 8?
Chapter 16: Change bases quickly (certain bases)
Chapter 17: Parity of Polynomials
Very Short Proofs In Algebra
Chapter 21: 3 and 9 Divisibility Rule
Chapter 22: Infinite Geometric Series Formula
Chapter 23: The Product of Two Negative Numbers Is Positive
Chapter 24: Generating A Factorable Cubic or Quadratic
Chapter 25: Graphing Lines and Parabolas
More Algebra I and II "Proofs" and Demonstrations
Chapter 26: "Proof" Of Some Exponent Rules
Chapter 27: "Proof" That 3^(-2) = 1/9 (Why Negative Exponents Create Fractions)
Chapter 28: "Proof" That 3^(1/2) = Square Root Of 3
Chapter 30: Advanced Log And Exponent Problems