Algebra 1 videos

Overview and history of algebra

Introduction to variables

Substitution and evaluating expressions

Combining like terms

Introduction to equivalent expressions

Division by zero

Linear equations with variables on both sides

Linear equations with parentheses

Analyzing the number of solutions to linear equations

Linear equations with unknown coefficients

Multi-step inequalities

Compound inequalities

Rate conversion

Appropriate units

Word problems with multiple units

Two-variable linear equations intro

Slope

Horizontal & vertical lines

x-intercepts and y-intercepts

Applying intercepts and slope

Modeling with linear equations and inequalities

Intro to slope-intercept form

Graphing slope-intercept equations

Writing slope-intercept equations

Point-slope form

Standard form

Summary: Forms of two-variable linear equations

Introduction to systems of equations

Solving systems of equations with substitution

Solving systems of equations with elimination

Equivalent systems of equations

Number of solutions to systems of equations

Systems of equations word problems

Checking solutions of two-variable inequalities

Graphing two-variable inequalities

Modeling with linear inequalities

Evaluating functions

Inputs and outputs of a function

Functions and equations

Interpreting function notation

Introduction to the domain and range of a function

Determining the domain of a function

Recognizing functions

Maximum and minimum points

Intervals where a function is positive, negative, increasing, or decreasing

Interpreting features of graphs

Average rate of change

Average rate of change word problems

Intro to inverse functions

Introduction to arithmetic sequences

Constructing arithmetic sequences

Introduction to geometric sequences

Constructing geometric sequences

Modeling with sequences

General sequences

Graphs of absolute value functions

Piecewise functions

Exponent properties review

Radicals

Simplifying square roots

Exponential vs. linear growth

Exponential expressions

Graphs of exponential growth

Exponential vs. linear growth over time

Exponential growth & decay

Exponential functions from tables & graphs

Exponential vs. linear models

Multiplying monomials by polynomials

Multiplying binomials

Special products of binomials

Introduction to factoring

Factoring quadratics intro

Factoring quadratics by grouping

Factoring quadratics with difference of squares

Factoring quadratics with perfect squares

Strategy in factoring quadratics

Intro to parabolas

Solving and graphing with factored form

Solving by taking the square root

Vertex form

Solving quadratics by factoring

The quadratic formula

Completing the square intro

More on completing the square

Strategizing to solve quadratic equations

Quadratic standard form

Features & forms of quadratic functions

Comparing quadratic functions

Transforming quadratic functions

Irrational numbers

Sums and products of rational and irrational numbers

Proofs concerning irrational numbers

Creativity in algebra

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