By the end of this course, students will be able to:
Algebra:
Simplify and solve linear, quadratic, and rational equations
Solve systems of equations using various methods (substitution, elimination, graphing)
Understand and apply the properties of exponents and radicals
Functions:
Define and analyze linear, quadratic, exponential, and polynomial functions
Interpret function notation and graphs
Determine domain, range, and transformations of functions
Trigonometry:
Use the unit circle and trigonometric ratios to solve problems
Solve right and non-right triangles using trigonometric laws
Graph trigonometric functions and understand their applications
Analytic Geometry:
Work with lines, slopes, and distances in the coordinate plane
Explore equations of circles, parabolas, and other conics
Apply geometry concepts to solve real-world problems
Data Management (Optional / Depending on Curriculum):
Organize and interpret data using tables, charts, and graphs
Understand basic probability and statistics
Calculate measures of central tendency (mean, median, mode)
Intro to Calculus:
Understand the concept of limits and rate of change
Explore simple derivatives and their applications