Combining like terms introduction

1.2   Combining like terms, but more complicated

1.3   Examples of simplifying expressions involving rational numbers

1.4   Factoring algebraic expressions using the distributive property

1.5   Example 1: Factor a linear binomial by taking a common factor

1.6   How to simplify an expression by combining like terms and the distributive property

1.7   Equivalent expressions with distribution and negative numbers

1.8   Multiplying & dividing powers (integer exponents)

1.9   Multiplying binomials intro

1.10   Example 1: Multiplying a binomial by a binomial

1.11   Special products of the form (x+a)(x-a)

1.12   Squaring binomials of the form (x+a)²

1.13   Example 1: Multiplying binomials to get a difference of squares

1.14   Example 2: Finding the square of a binomial with one variable

1.15   Factoring quadratics as (x+a)(x+b)

1.16   Factoring quadratics as (x+a)(x+b) (example 2)

1.17   More examples of factoring quadratics with a leading coefficient of 1

1.18   More examples of factoring by grouping

1.19   Example 2: Factoring quadratics by grouping

1.20   Example 3: Factoring quadratics by taking a common factor and grouping

1.21   Example 4: Factoring quadratics by taking a negative common factor and grouping

1.22   Difference of squares intro

1.23   Example 2: Factoring a difference of squares with leading coefficient other than 1

1.24   Factoring difference of squares: analyzing factorization

1.25   Factoring difference of squares: shared factors

1.26   Perfect square factorization intro

1.27   Example 4: Factoring quadratics as a perfect square of a difference: (a-b)^2

1.28   Identifying perfect square form

1.29   Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2

1.30   Factoring perfect squares: missing values

1.31   Factoring perfect squares: shared factors

1.32   Why we do the same thing to both sides: Multi-step equations

1.33   Introduction to solving an equation with variables on both sides

1.34   Example 2: Variables on both sides

1.35   A clever application of the distributive property to solve a multi-step equation

1.36   Ex 2: Multi-step equation

1.37   Solving equations with the distributive property

1.38   Checking solutions to systems of equations example

1.39   Solving systems of equations graphically

1.40   Systems of equations with graphing: exact & approximate solutions

1.41   Talking bird solves systems with substitution

1.42   Solving systems of linear equations with substitution example

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

1.44   Strategies for eliminating variables in a system examples

1.45   Solving system with elimination

1.46   Systems of equations with elimination (and manipulation)

1.47   Worked example: equivalent systems of equations

1.48   Worked example: non-equivalent systems of equations

1.49   Introduction to square roots

1.50   Understanding square roots

1.51   Example: Solving simple quadratic

1.52   Solving quadratics by taking square roots examples

1.53   Determining mistakes in steps example

1.54   Order of steps exercise example

1.55   Solving a quadratic equation by factoring

1.56   Solving quadratics by factoring: leading coefficient â   1

1.57   Solving quadratics using structure

1.58   How to use the quadratic formula

1.59   Example 2: Using the quadratic formula

1.60   Example 5: Using the quadratic formula

1.61   Example 3: Using the quadratic formula

1.62   Proof of quadratic formula

1.63   What is a function?

1.64   Evaluating functions given their formula

1.65   Intervals and interval notation

1.66   What is the domain of a function?

1.67   What is the range of a function?

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

1.69   Determining whether values are in domain of function

1.70   Examples finding the domain of functions

1.71   How to determine the domain of a modeling function (example with a function)

1.72   How to determine the domain of a modeling function

1.73   How to determine the domain of a modeling function

1.74   Graphical relations and functions

1.75   Does a vertical line represent a function?

1.76   Recognize functions from tables

1.77   Recognize functions from verbal descriptions (example 1)

1.78   Recognize functions from verbal descriptions (example 2)

1.79   Introduction to minimum and maximum points

1.80   How to recognize relative and absolute maxima and minima

1.81   Introduction to increasing, decreasing, positive or negative intervals

1.82   Positive and negative intervals examples

1.83   Shifting absolute value graphs

1.84   Reflecting and scaling absolute value function

1.85   Scaling & reflecting absolute value functions: graph

1.86   Graphing a shifted and stretched absolute value function

1.87   Solving equations with zero product property

1.88   Graphing parabola from quadratic in factored form

1.89   Graphing a parabola in vertex form

1.90   Finding the vertex of a parabola example

1.91   Graphing a parabola using roots and vertex

1.92   Rewriting a quadratic function to find roots and vertex

1.93   Worked examples: Forms & features of quadratic functions

1.94   Parabola vertex and axis of symmetry

1.95   Finding features of quadratic functions

1.96   Shifting and scaling parabolas

1.97   Example translating parabola

1.98   Example scaling parabola

1.99   Multiplying & dividing powers (integer exponents)

1.100   Powers of products & quotients (integer exponents)

1.101   Introduction to square roots

1.102   Understanding square roots

1.103   Square root of decimal (example)

1.104   Introduction to cube roots

1.105   5th roots

1.106   Exponential growth functions

1.107   Examples of linear and exponential relationships

1.108   Understanding linear and exponential models

1.109   Determining whether real world model is linear or exponential

1.110   Expression for compound or exponential growth

1.111   Initial value & common ratio of exponential functions

1.112   Modeling with basic exponential function

1.113   Interpretting exponential expression

1.114   Graphing exponential functions

1.115   Identifying graph for exponential

1.116   Comparing exponential and linear function

1.117   Introduction to exponential decay

1.118   Graphing exponential growth & decay

1.119   Writing exponential functions

1.120   Constructing linear and exponential functions from data

1.121   Constructing linear and exponential functions from graph

1.122   Analyzing tables of exponential functions

1.123   Analyzing graphs of exponential functions

1.124   Analyzing graphs of exponential functions: negative initial value

1.125   Modeling ticket fines with exponential function

1.126   Introduction to function inverses

1.127   Understanding inverse functions

1.128   Understanding function inverses example

1.129   Function inverse example 1

1.130   The Pythagorean theorem intro

1.131   Pythagorean theorem 2

1.132   Distance formula

1.133   Using similarity to estimate ratio between side lengths

1.134   Using right triangle ratios to approximate angle measure

1.135   Similarity to define sine, cosine, and tangent

1.136   Basic trigonometry II

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

1.138   Introduction to radians

1.139   Radian and degree conversion practice

1.140   Example: Converting degrees to radians

1.141   Example: Converting radians to degrees

1.142   Adding fractions with unlike denominators introduction

1.143   Adding fractions with unlike denominators

1.144   Subtracting fractions with unlike denominators introduction

1.145   Subtracting fractions with unlike denominators

1.146   Adding and subtracting multiple fractions with unlike denominators

1.147   Solving for the missing fraction

1.148   Multiplying two fractions: example

1.149   Dividing fractions example

1.150   Dividing fractions example 2

1.151   Multiplying binomials intro

1.152   Example 1: Multiplying a binomial by a binomial

1.153   Factoring quadratics as (x+a)(x+b)

1.154   Factoring quadratics as (x+a)(x+b) (example 2)

1.155   More examples of factoring quadratics with a leading coefficient of 1