Welcome to Fresno Academy
Mathematics Curriculum
Mathematics Syllabus [ 15yr - 18yrs ]
Algebra and Functions
- Advanced Operations with Polynomials
- Factoring and Solving Higher Degree Polynomials
- Introduction to Complex Numbers
- Operations with Complex Numbers
- Exploring Polynomial and Rational Functions
- Graphing and Analyzing Functions (Including Radical, Rational, Exponential, and Logarithmic)
Trigonometry
- Unit Circle and Radian Measure
- Graphing Trigonometric Functions
- Inverse Trigonometric Functions
- Trigonometric Identities and Proofs
- Solving Trigonometric Equations
- Law of Sines and Law of Cosines
- Applications of Trigonometry in Real-Life Problems
Pre-Calculus and Calculus Basics
- Understanding Limits and Continuity
- Introduction to Derivatives
- Basic Differentiation Rules
- Application of Derivatives (Rates of Change, Motion)
- Introduction to Integration and Antiderivatives
Geometry and Conic Sections
- Properties and Equations of Circles, Ellipses, Parabolas, and Hyperbolas
- Graphing Conic Sections
- Solving Systems Involving Conic Sections
- Transformations of Geometric Shapes
- Vectors and their Applications in Geometry
Probability and Statistics
- Descriptive Statistics (Mean, Median, Mode, Standard Deviation)
- Probability Distributions
- Combinatorics (Permutations and Combinations)
- Normal Distribution and Z-Scores
- Inferential Statistics (Hypothesis Testing and Confidence Intervals)
Sequences and Series
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- Infinite Geometric Series
- Recursive Sequences
- Applications of Sequences and Series in Real-Life Problems
Exponential and Logarithmic Functions
- Properties of Exponential Functions
- Solving Exponential Equations
- Understanding and Applying Logarithmic Functions
- Exponential Growth and Decay Models
- Logarithmic Scale and its Applications
Mathematical Modeling
- Using Functions to Model Real-World Situations
- Creating and Analyzing Mathematical Models
- Optimization Problems Using Calculus and Algebra
- Interpreting Data to Develop Mathematical Models
Financial Mathematics
- Understanding Compound Interest and Loans
- Calculating Mortgage Payments and Annuities
- Evaluating Investment Options
- Taxation, Inflation, and Financial Planning
Problem-Solving and Critical Thinking
- Advanced Algebraic Problem Solving
- Geometric Problem Solving Using Trigonometry and Calculus
- Word Problems Involving Real-Life Applications
- Developing Logical and Analytical Thinking Skills
Project-Based Learning
- Real-World Math Projects
- Collaborative Group Work and Presentations
- Mathematical Research and Report Writing
Assessment and Review
- Regular Quizzes and Tests
- Formative and Summative Assessments
- Homework and Classwork Feedback
- End-of-Term Exams and Comprehensive Reviews