Algebra 1

Algebra 1 
carefully guides the learner through a range of algebraic topics such as:

• Arithmetic and evaluations of expressions involving signed numbers, exponents, and roots
• properties of real numbers
• Absolute value
• Equations and inequalities involving absolute value
• Scientific notation
• Unit conversions
• Solutions of equations in one unknown
• Solutions 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 graphs
• Factoring
• Pythagorean theorem
• Algebraic proofs
• Functional notation and functions
• Solutions of quadratic equations by, factoring, completing the square, and quadratic formula
• Direct and inverse variations
• 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