Algebra

Algebra 1 Outline

  • **This is a Keystone Assessed course. Students are required to take the Keystone Algebra exam upon completion of Algebra 1 and/or Algebra 1B.

    Units Covered:

    Algebra 1 covers all units 1-10

    Algebra 1A covers units 1-5

    Algebra 1B covers units 6-10

     

    I. Properties of Real Numbers
    A. Introduction to Number Systems
    B. Compare and Order Real Numbers


    II. Simplifying Expressions
    A. Simplify Square Roots
    B. Find the Greatest Common Factor and Least Common Multiple
    C. Use Laws of Exponents
    D. Operations of Real Numbers


    III. Polynomials
    A. Addition and Subtraction of Polynomials
    B. Multiplication of Polynomials
    C. Simplify and Factor Polynomial Expressions
    D. Simplify and Reduce

     

    IV. Linear Equations
    A. Use of Algebraic Expressions
    B. Solve a Linear Equation (One-Step w/ One Variable)
    C. Solve a Linear Equation (Two-Steps or More w/ One Variable)
    D. Applications of Linear Equations

     

     IV. Equations

    A. Solving Algebraic Equations

    B. Writing and reading Algebraic Expressions

     

    V. Inequalities

    A. Solving Inequalities - Graphing on a number line.

     

    Coordinate Geometry

    VI. Graph Linear Equations
    A. Find Slope and Rate of Change
    B. Graph Using Intercepts and Slope-Intercept and Point-Slope Forms
    C. Standard Form
    D. Interpret Functions Using Equations, Tables, and Graphs

     

     

    VII. Systems of Equations
    A. Solve a System of Linear Equations by Graphing
    B. Solve a System of Linear Equations by Substitution
    C. Solve a System of Linear Equations by Elimination
    D. Interpret Systems of Equations

     

    VIII - Graphing Linear Inequalities

    A. Graph Linear Inequalities in two variables

    B. Write and Interpret Linear Inequalities

    C. Solve Linear Inequalities by Graphing

     

    VIII - Functions & Relations

    A. Making connections between patterns and graphs

    B. Identifying Domain and Range

    C. Determining Functions and Relations

     

    X- Probability and Data Analysis

    A. Analyzing Data Dispersion

    B. Making predictions from graphical representations

    C. Identifying and writing equations for lines of best fit

    D. Measures of Central Tendency

    E. Making Predictions

    F. Finding and applying probability

    **As much information as possible will be covered and reviewed prior to the Keystone Exam.