Algebra I

This is the first mathematics course in the high school mathematics sequence. It serves as the foundation for the rest of high school and college mathematics by introducing basic concepts and problem-solving strategies that are common to all branches of mathematics and disciplines. Students taking this course will demonstrate the ability to construct valid, complete, and logically sound mathematical arguments.

Topics include:
• Different types of functions – linear (including absolute value and step), polynomial and quadratic, exponential, and radical
• Addition/subtraction/multiplication/division/ factorization of monomials/polynomials
• Solution of verbal problems leading to linear equations
• Tax and bank rate problems
• Area/perimeter/volume problems
• Solving quadratic equations and verbal problems leading to quadratic equations
• Graphing linear equations – in two variables, using the table of values/slope, using y-intercept method
• Solving the system of equations algebraically/graphically
• Graphing linear inequalities
• Analyzing graphs including vertical and horizontal shifts and the relationships between these transformed graphs