Algebra I  Common Core Units

Unit #1:  Review Concepts - Intro to the Common Core in Algebra

            -Rounding, Percents, Integer Review

            -Properties (Comm.  Associative, Distributive, Properties of Equality

            -Mult. Binomials,

            -Substitution, Regrouping,

            -Translating English into Algebra, Labeling Variables

Unit #2:  Linear Equations

            -Solving all types of linear equations with one variable, and fractions

            -Linear Word Problems (Defining Variables, Money Questions, Conecutive Int.)

            -Rearranging equations to solve for a specific variable (Literal Equations)

Unit #3:  Solving Inequalities with one variable

            -Rules, graphing, Word Problems

            - Compound Inequalities, Interval Notations

Unit #4:  Intro. To Functions

• Definitions, Function Notation, Graphing Calculator Work,
• Average rate of Change
• Reading a Graph and appropriate scales
• Domain, Range, Intervals of Increase/Decrease..all graphical features
• Simplifying a function

Unit #4(b):  Linear Functions and Sequences

• Proportional Relationships and Conversions
• Review on Graphing Linear Functions and their features (AGAIN!)
• Recognizing parts of the linear function (y = mx + b)
• Vertical and Horizontal Lines, and y = x  y = -x…
• Writing Functions, LINREG
• Arithmetic Sequences

Unit #5:  Systems

• Linear Systems, Substitution, Elimination, Graphically
• Quadratic and Linear Systems by Graphing

Unit #6:  Exponents

• Exponent rule review, zero power, negative exponents
• Exponential Functions vs. Linear
• Exponential Word Prob. Y = ab^x  with  percent problems
• Percent Increase and Decrease Word Problems (Decay and Growth)
• EXPREG on calculator
• Geometric Sequences

Unit #7:  Polynomials

• Standard Form, Leading Coefficients, Operations
• Factoring (ALL METHODS…let me know if you need me to list them all)

Unit #8:  Quadratic Functions

            -Intro, Recognition, Zeroes

            -Graphing Word Prob.,

            -Shifted Parabolas

            -Vertex Form by C.T.S.

            -Solving QE by factoring and C.T.S., and inverse operation

            -Cubic Functions

Unit #9:  Square Roots and Quadratic Formula

            -Square Roots, Simplest Radical Form

            -Irrational vs. Rational

            -Quadratic Formula, Finding Zeroes Algebraically (Also C.T.S.)

Unit #10:  Statistics

            -Box Plots, Quartiles, Outliers

            -Percent, Central Tendency, Mean, Standard Deviations,

            -Two Way Tables, Bivariate Data, Correlation Coefficients

            -Best Fit Lines, Residuals

• REGENTS REVIEW