Understanding inverse functions

1.1   Introduction to i and imaginary numbers

1.2   Imaginary roots of negative numbers

1.3   Calculating i raised to arbitrary exponents

1.4   i as the principal root of -1 (a little technical)

1.5   Introduction to complex numbers

1.6   Introduction to complex numbers

1.7   Plotting complex numbers on the complex plane

1.8   Adding complex numbers

1.9   Subtracting complex numbers

1.10   Multiplying complex numbers

1.11   Example: Complex roots for a quadratic

1.12   Example 2: Adding polynomials

1.13   Example 3: Subtracting polynomials

1.14   Polynomial subtraction

1.15   Multiplying binomials by polynomials: area model

1.16   Example 2: Multiplying a binomial by a polynomial

1.17   Polynomial special products: difference of squares

1.18   Polynomial special products: perfect square

1.19   Factoring higher degree polynomials

1.20   Factoring perfect squares: common factor

1.21   Identifying quadratic patterns

1.22   Factorization with substitution

1.23   Example 5: Factoring a fourth degree polynomial using the "perfect square” form

1.24   Example 1: Factoring a difference of squares with two variables

1.25   Zeros of polynomials introduction

1.26   Zeros of polynomials: plotting zeros

1.27   Zeros of polynomials: matching equation to zeros

1.28   Zeros of polynomials: matching equation to graph

1.29   Zeros of polynomials (with factoring): grouping

1.30   Zeros of polynomials (with factoring): common factor

1.31   Polynomial division introduction

1.32   Dividing polynomials by x (no remainders)

1.33   Polynomial divided by monomial

1.34   Polynomial division

1.35   Dividing polynomials by x (no remainders)

1.36   Dividing quadratics by linear expressions with remainders

1.37   Dividing quadratics by linear expressions with remainders: missing x-term

1.38   Dividing polynomials by linear expressions

1.39   Dividing polynomials by linear expressions: missing term

1.40   Factoring using polynomial division

1.41   Factoring using polynomial division: missing term

1.42   Shifting functions introduction

1.43   Shifting functions

1.44   Graphing shifted functions

1.45   Reflecting functions introduction

1.46   Reflecting functions: examples

1.47   Scaling functions introduction

1.48   Scaling functions vertically: examples

1.49   Scaling functions horizontally: examples

1.50   Compressing functions

1.51   Shifting & reflecting functions

1.52   Intervals and interval notation

1.53   What is the domain of a function?

1.54   What is the range of a function?

1.55   How to find the domain and the range of a function given its graph (example)

1.56   Introduction to function inverses

1.58   Understanding function inverses example

1.59   Function inverse example 1

1.60   Introduction to the unit circle

1.61   Matching ratios to trig functions

1.62   Introduction to radians

1.63   Radian and degree conversion practice

1.64   Example: Converting degrees to radians

1.65   Example: Converting radians to degrees

1.66   Rotation by radians and quadrants

1.67   Pythagorean trig identity from unit circle

1.68   Using the Pythagorean trig identity

1.69   Solving triangle in unit circle

1.70   Example: Graph, domain, and range of sine function

1.71   Example: Intersection of sine and cosine

1.72   Determining the equation of a trig function

1.73   Modeling temperature through the day

1.74   Modeling annual temperature variation with trigonometry

1.75   Day length in Alaska

1.76   King_s cupcakes: Solving systems by elimination

1.77   Why we do the same thing to both sides basic systems

1.78   Strategies for eliminating variables in a system examples

1.79   Solving system with elimination

1.80   How many bags of potato chips do people eat?

1.81   Systems of equations with elimination (and manipulation)

1.82   Worked example: equivalent systems of equations

1.83   Worked example: non-equivalent systems of equations

1.84   Dilating points example

1.85   Dilation scale factor examples

1.86   Thinking about dilations

1.87   Dilating shapes: shrinking

1.88   Dilating triangles: find the error

1.89   Dilations and shape properties

1.90   Example: Trig to solve the sides and angles of a right triangle

1.91   Introduction to the unit circle

1.92   Matching ratios to trig functions

1.93   Distance formula

1.94   Explicit and recursive definitions of sequences

1.95   Introduction to arithmetic sequences

1.96   Using arithmetic sequences formulas

1.97   Worked example: using recursive formula for arithmetic sequence

1.98   Introduction to geometric sequences

1.99   Using explicit formulas of geometric sequences

1.100   Using recursive formulas of geometric sequences

1.101   Recursive formulas for arithmetic sequences

1.102   Recursive formulas for arithmetic sequences

1.103   Finding the 100th term in a sequence

1.104   Converting recursive & explicit forms of arithmetic sequences

1.105   Explicit & recursive formulas for geometric sequences

1.106   Converting an explicit formula of a geometric sequence to a recursive formula

1.107   Sequences word problems

1.108   Evaluating sequences in recursive form

1.109   Geometric series introduction

1.110   Finite geometric series formula justification

1.111   Worked examples: finite geometric series

1.112   Geometric series word problems: swing

1.113   Geometric series word problems: hike

1.114   Graphing circles from features

1.115   Features of a circle from its graph

1.116   Radius and center for a circle equation in standard form

1.117   Graphing a circle from its standard equation

1.118   Writing standard equation of a circle

1.119   Completing the square to write equation in standard form of a circle

1.120   Focus and directrix introduction

1.121   Equation for parabola from focus and directrix

1.122   Probability explained

1.123   Finding probability example

1.124   Finding probability example 2

1.125   Intuitive sense of probabilities

1.126   Probability and the Monty Hall problem

1.127   Example: Probability through counting outcomes

1.128   Example: All the ways you can flip a coin

1.129   Die rolling probability

1.130   Describing subsets of sample spaces exercise

1.131   Intersection and union of sets

1.132   Relative complement or difference between sets

1.133   Universal set and absolute complement

1.134   Subset, strict subset, and superset

1.135   Bringing the set operations together

1.136   Experimental probability

1.137   Comparing theoretical to experimental probabilites

1.138   Making predictions with probability

1.139   Experimental versus theoretical probability simulation

1.140   Random number list to run experiment

1.141   Random numbers for experimental probability

1.142   Statistical significance of experiment

1.143   Probability with playing cards and Venn diagrams

1.144   Addition rule for probability