Home‎ > ‎Algebra One‎ > ‎

Algebra One Resources

The following topics will be covered in the Integrated Algebra Course this year.  Each subtopic below contains a lesson page and an interactive student practice page.  Sections denoted with a * have Graphing Calculator references.  Note: Certain topics in the NYS Learning Standards cross strands, however, this site presents such topics in only one location.
 
 
NUMBER SENSE AND OPERATIONS STRAND

    1. 
Number Theory 
         • Properties of Real Numbers 
 
    2.  Operations
         • Radicals  
         •
Scientific Notation *
         •
Fractions, Percents, Ratios, Proportions *
         •
Direct Variation  
         •
Exponents (Powers)  *   
         •
Factorials *
         •
Absolute value *
         •
Multiple Choice Practice - Topic: Operations 

           Pre-Algebra Review (a review of some topics needed for Algebra)
                  •
Rational and Irrational Numbers
                  • Order of Operations 
                  •
Signed Numbers
 
ALGEBRA STRAND 

    3. 
Variables and Expressions
         •
Algebraic Representations  
         •
Addition and Subtraction of Polynomials  
         •
Multiplication of Polynomials *  
         •
Division of Polynomials *  
         •
Algebraic Fractions and Equations *  
         •
Factoring

         • Multiple Choice Practice - Topic: Variables and Expressions 
 
    4.  Equations and Inequalities  
         • Algebraic Translations   
         •
Linear Equations *  
         •
Systems of Linear Equations (Algebraic and Graphic) *  
         •
Literal Equations
         • Quadratic Equations *  
         •
Linear-Quadratic Systems *
   
         •
Exponential Growth and Decay *   
         •
Linear Inequalities (single variable)

         •
Graphing Linear Inequalities *
         • Systems of Inequalities * 
 
         •
Multiple Choice Practice - Topic: Equations and Inequalities 
        
    5.  Patterns, Functions, and Relations
         • Set-builder and Interval Notation
         • Working with Sets and Venn Diagrams 
         •
Definition of Function 
 
    6.  Trigonometric Functions
         •
Pythagorean Theorem 
         •
Trigonometric Ratios (using sine, cosine, tangent) *
          
GEOMETRY STRAND 

    7. 
Coordinate Geometry
         • Slopes and Equations of Lines *
 
         •
Parallels and Perpendiculars
         • Parabolas *
         •
Graphing Functions and Examining Coefficients
*  
         •
Multiple Choice Practice - Topic: Coordinate Geometry 
 
    8.  Shapes
         • Area and Perimeter of Polygons & Circles
         •
Volume and Surface Area of Rectangular Solids and Cylinders
  

MEASUREMENT STRAND

    9. 
Measurement
         • Metric/English Conversions and Rates   
         •
Error in Measurement   

PROBABILITY AND STATISTICS STRAND

    10.  Working with Data
         • Categorizing Data and Bias
         •
Central Tendency: Mean-Mode-Median
         •
Displaying Data * (histogram, cumulative frequency histogram, quartiles, box & whisker)
         •
Scatter Plots, Correlation, Line of Best Fit, Prediction *  
         •
Percentiles and More Quartiles *
         • Multiple Choice Practice - Topic: Working with Data            
                       
    11.  Probability
        • Counting Principle
        •
Permutations
        •
Sample Spaces and Tree Diagrams
        •
Single & Compound Events
        •
Theoretical versus Empirical Probability
        •
Mutually Exclusive & Independent Events, Complement  
        •
Conditional Probability 
        •
Problems Involving AND & OR  
        •
Multiple Choice Practice - Topic: Probability
Comments