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Algebra 1 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Sets, and Cumulative Tests. Algebra 1 covers topics typically treated in a first-year algebra course .

Algebra 1 includes such topics as:

  • arithmetic and evaluation of expressions involving signed numbers, exponents, and roots
  • properties of real numbers
  • absolute value
  • equations and inequalities involving absolute value
  • scientific notation
  • unit conversions
  • solution of equations in one unknown
  • solution of simultaneous equations the algebra of polynomials and rational expressions
  • word problems requiring algebra for the solution (such as uniform motion and coin problems)
  • graphical solution of simultaneous equations
  • graphs of a variety of functions: linear, quadratic, cubic, square root, absolute value, etc.
  • translations and reflections of g raphs
  • factoring
  • Pythagorean theorem
  • algebraic proofs
  • functional notation and functions
  • solution of quadratic equations by factoring, completing the square, and quadratic formula
  • direct and inverse variation
  • exponential growth
  • computation of the perimeter and area of two-dimensional regions
  • computation of the surface area and volume of a wide variety of geometric solids
  • statistics
  • probability

 

 


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