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Mr. Gilbert's Algebra Curriculum
The following list of topics shows the topics we will cover in Algebra this year, separated by unit, along with a general time frame.
KEY:

Red - Unit has been completed
Green - Unit is in progress
Black - Unit is still to come

 Unit 1 - Numbers, Expressions and Equations (September - October)

  • Rational and Irrational numbers
  • Polynomial arithmetic
  • Solving linear equations and inequalities
  • Creating linear equations and inequalities
  • Rearranging formulas
  • Systems of linear equations
Unit 2 - Functions (October - November)
  • Definition of function, domain and range
  • Types of functions (linear, exponential, quadratic, square root, cube root, absolute value, piecewise, step)
  • Function notation
  • Average rate of change
  • Sequences
  • Linear vs Exponential functions
  • Writing linear and exponential functions
  • Interpreting linear and exponential functions
Unit 3 - Graphs, part 1 (November - December)
  • Review y = mx + b
  • Solving equations by graphing
  • Graphing linear inequalities
  • Features of graphs
  • Average rate of change from a graph
Unit 4 - Graphs, part 2 (January)
  • Graphing all types of functions
  • Intercepts, maxima, minima
  • Comparing functions
  • Function transformations
  • Constructing functions from a graph
  • Graphs from verbal descriptions
Unit 5 - Quadratic Expressions and Functions (February)
  • Parts of quadratic expressions
  • Factoring
  • Finding zeros
  • Completing the square to reveal vertex
Unit 6 - Solving Quadratic Equations (March)
  • Simplest Radical form
  • Solving quadratics with various methods (square roots, factoring, complete the square, quadratic formula)
  • Pythagorean Theorem review
  • Writing quadratics
Unit 7 - Statistics (April)
  • Displaying data
  • Measures of center and variation
  • Two-way tables
  • Scatter plots
  • Regression
  • Correlation coefficient
  • Residuals
Unit 8 - Regents Exam Review
  • Topics TBD
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