Workshops: Mathematics

1. Number Sense
   • Real Number Properties
   • Fundamental Theorem of Arithmetic
   • Absolute Values
   • Algebraic Expressions
   • Complex Numbers
   • Operations with Real Numbers
   • Field Properties of Real Numbers
2. Algebra & Functions I
   • Parallel and Perpendicular Lines
   • Absolute Values
   • Relations and Functions
   • Solving Sytems of Equations
   • Compositions and Inverses of Functions
   • Sequences and Series
   • Solving Linear Equations and Inequalities
   • Graphing Linear Equations and Inequalities
   • Finding the Equation of a Line
3. Algebra & Functions II
   • Algebra and Functions
   • Factoring Polynomials
   • Simplifying Rational Polynomials
   • Solving and Graphing Quadratic Equations
   • Binomial Expansion
   • Conic Sections
   • Laws of Integer Exponents
   • Laws of Fractional Exponents
   • Exponential Functions
4. Geometry & Spatial Reasoning
   • Symmetry and Space
   • Classifying Two- and Three-Dimensional Solids
   • Two-Dimensional Representations of Three-Dimensional Objects
   • Triangles
   • Similarity and Ratio
   • Convex Polygons
   • Quadrilaterals
   • Straightedge and Compass Constructions
   • Skew Lines
   • Special Triangles
   • Area of Triangles and Special Quadrilaterals
   • The Pythagorean Theorem
   • Circles
   • The Equation of a Circle
   • Geometric Proofs using Coordinate Systems
5. Measurement and Linear Algebra
   • About Measurement
   • Measuring Two-Dimensional Figures
   • Measuring Three-Dimensional Figures
   • Proportions in Measurement
   • Matrices—Operations and Inverses
   • Matrices for Systems of Equations
   • Geometric Interpretations
   • Special Matrix Products
6. Trigonometry
   • Trigonometric Ratios
   • Law of Sines & Law of Cosines
   • The Unit Circle
   • Introduction to Tangent, Cotangent, Secant, and Cosecant
   • Pythagorean Trigonometric Identities
   • Amplitude, Frequency, Period, and Phase Shift
   • Graphing Trigonometric Functions and Inverse Trigonometric Functions
   • Half-Angle and Double-Angle Formulas
   • Rectangular and Polar Coordinates
7. Probability, Statistics, & Data Analysis
   • Defining Probability
   • Combinations and Permutations
   • Utilizing Combinations and Permutations
   • Independent and Dependent Events
   • Beginning Statistics
   • Data Displays, Normal Distributions and Lines of Best Fit
8. Calculus
   • Limits and Continuity
   • Differential Calculus
   • Differential Calculus II
   • Integral Calculus
   • Differential Equations, Sequences, and Series