Recursion, Sequences, and Applications
FUN STUFF
-- Loan Calculator
-- Savings Calculator
introduction to recursion and sequences
arithmetic and geometric sequences
loans and investments
the compound interest formula
Functions and their Graphs
FUN STUFF
Function Grapher
graphs of functions
basic models you must know
graphical interpretation of sentences like f(x) = 0 and f(x) > 0
graphical interpretation of sentences like f(x) = g(x) and f(x) > g(x)
composition of functionsProbability
FUN STUFF
-- Use Venn Diagrams to explore set concepts
-- Spinners to explore probabilities
-- Stick or Switch
(an electronic version of the old TV game show Let's Make a Deal; play multiple games quickly to ‘test’ the theoretical probabilities;
there's a very good mathematical analysis here)
advanced set concepts
basic probability concepts
more probability concepts
probability tree diagrams
choosing things: does order matter?
factorial notation
combinations and permutations
Statistics
summation notation
mean, median, and mode
measures of spread
Systems of Equations
introduction to systems of equations
solving systems using substitution
solving systems using elimination
simple word problems resulting in a system of equations
Matrices
introduction to matrices
basic arithmetic with matrices
multiplying matrices
Graphical Transformations
FUN STUFF
-- Play with graphical transformations
using this user-friendly grapher
vertical and horizontal translations
(moving up, down, left, and right)
vertical and horizontal scaling
(stretching and shrinking)
reflections and the absolute value transformation
graphical transformations: all mixed up
Quadratic Functions and More
parabolas
equations of simple parabolas
quadratic functions and the completing the square technique
algebraic definition of absolute value
the quadratic formula
complex numbers
arithmetic with complex numbers
equations of circles
Exponential and Logarithmic Functions
introduction to logarithms
properties of logarithms
change of base formula for logarithms
introduction to logarithmic functions
introduction to exponential functions
Polynomials
introduction to polynomials