Algebra 1

  1. The Language of Algebra       15 days
    1. Order of Operations – properties as they apply
    2. Simplifying Algebraic Expressions – using the properties of the real # system
    3. Verbal ó Numeric Algebraic Expressions
    4. *Absolute Value (numeric only)
    5. Working with a Formula
    6. Adding, Subtracting, Multiplying & Dividing Integers, and Rational Numbers
    7. Square Roots – Introduction
    8. Sequences – recognizing patterns
    9. Union & Intersection
    10. *Set Notation (Roster & Set-Builder)
  2. Algebraic Equations      15 days
    1. Absolute Value - Solving
    2. Ratio & Proportion
    3. *Equalities/Inequalities - Solving linear in one variable (& literal equations)
    4. Consecutive integer
    5. Solve %’s – increase/decrease, sales tax, etc.
    6. *Perimeter (& Circumference) Word/Application problems
  3. Linear Relationships       30 days
    1. Graphing in a plane
    2. Graphing Lines from an equation/x- and y- intercepts
    3. Writing equations of lines given data/slope intercept
    4. Slope – recognition & computation
    5. Recognize/Use parallel and perpendicular lines (write equations)
    6. Graphing Linear Inequalities (domain/range, relations/functions)
    7. Direct/Inverse/Joint Variation
    8. Interpreting graphs in real-life setting
    1. Absolute Value (Compound Inequalities & Includes graphing on a number line)
    2. Solving systems of equalities – graphically, substitution, and elimination with and without technology
    3. Graphing systems of inequalities in two variables 

End of 1st Semester       80 days

  1. Exponential Relationships       20 days
    1. Graphing
    2. Exponent Rules
    3. Exponential Growth & Decay; Compound Interest
    4. Scientific Notation
    5. Indirect Variation – Algebraically and graphically
  2. Polynomials          15 days
    1. Adding and Subtracting
    2. Multiplying (Distributive Property/FOIL)
    3. *Division by monomials and binomials
  3. Quadratic Relationships       22 days
    1. *Factoring (GCF, Type I, Type II, Grouping (Q), Difference of Squares, and Combination)
    2. Simplifying rational expressions through factoring
    3. Graphing
    4. Solving a Quadratic Equation (by factoring/graphing)
    5. *Applications
  4. Square Roots and Radicals       20 days
    1. Simplifying/Solving
    2. Operations with Radicals
    3. *Work with simple rational exponents (m/n , where m<n and n<10)
    4. Solving radical equations
    5. Completing the Square
    6. Quadratic Formula
  5. Probability & Statistics       8 days
    1. Display and interpret data on line, bar, and circle graphs
    2. Find and interpret mean, median, mode, and range
    3. *Probability of a simple event/odds (card out of a deck, problems involving 1 & 2 die)

End of 2nd Semester 85 days

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Last updated: January 25, 2008