Algebra 1 | Index

Algebra 1 Pre-Requisites

Check out Algebra for Algebra 1 Pre-Requisite material.

Solving Equations and Inequalities

  • 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

Units

  • Rate conversion
  • Appropriate Units
  • Word problems with multiple units

Linear Equations and Graphs

  • Two-variable linear equations
  • Slope
  • Horizontal and vertical lines
  • X-intercepts and y-intercepts
  • Applying intercepts and slope

Forms of Linear Equations

  • 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

Systems of Equations

  • Intro to Systems of Equations
  • Solving systems of equations with substitution
  • Equivalent systems of equations and the elimination method
  • Number of solutions to systems of equations.

Inequalities

  • Checking solutions of two variable inequalities
  • Graphing two-variable inequalities
  • Modeling with linear inequalities

Functions

  • Evaluating functions
  • Inputs and outputs of a function
  • Functions and equations
  • Interpreting function notation
  • 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
  • Inverse functions

Sequences

  • Arithmetic Sequences
  • Constructing Arithmetic Sequences
  • Geometric Sequences
  • Constructing Geometric Sequences
  • Modeling with sequences
  • General Sequences

Absolute Value and Piecewise Functions

  • Graphs of absolute value functions
  • Piecewise Functions

Exponents and Radicals

  • Exponent Properties Review
  • Radicals
  • Simplifying Square Roots

Exponential Growth and Decay

  • Exponential vs Linear Growth
  • Exponential Expressions
  • Graphs of Exponential Growth
  • Exponential vs Linear Growth over Time
  • Exponential growth and decay
  • Exponential function from tables and graphs
  • Exponential versus linear models

Quadratics: Multiplying and Factoring

  • Multiplying monomial by polynomials
  • Multiplying binomial
  • Special products of binomials
  • Factoring
  • Factoring quadratic by grouping
  • Factoring quadratics with the difference of squares
  • Factoring quadratics with perfect squares
  • Strategy in factoring quadratic

Quadratic Functions and Equations

  • 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
  • Quadratic standard form
  • Features and forms of quadratic functions
  • Transforming quadratic functions

Irrational Numbers

  • Irrational Numbers
  • Sums and products of rational and irrational numbers