Welcome to Fresno Academy

Mathematics Curriculum

Mathematics Syllabus [ 14yr - 17yrs ]

Algebra

• Solving Quadratic Equations (Factoring, Completing the Square, Quadratic Formula)
• Solving Systems of Equations (Substitution, Elimination, Graphical Method)
• Operations with Polynomials
• Rational Expressions and Equations
• Exponential Equations and Exponential Growth and Decay

Functions and Graphs

• Understanding Functions (Linear, Quadratic, Exponential)
• Domain and Range of Functions
• Graphing Linear and Quadratic Functions
• Transformations of Functions (Translations, Reflections, Stretches, and Compressions)
• Inverse Functions

Trigonometry

• Trigonometric Ratios (Sine, Cosine, Tangent)
• Solving Right Triangles
• Introduction to Trigonometric Functions and Graphs
• Angles of Elevation and Depression
• Applications of Trigonometry in Real-Life Problems

Geometry

• Geometric Proofs and Reasoning
• Properties of Circles (Arcs, Chords, Tangents, and Secants)
• Similarity and Congruence in Geometry
• Coordinate Geometry (Distance, Midpoint, and Slope)
• Surface Area and Volume of 3D Shapes

Statistics and Probability

• Collecting, Organizing, and Analyzing Data
• Probability of Compound Events
• Conditional Probability
• Normal Distribution and Standard Deviation
• Interpreting Statistical Data and Graphs

Exponents and Radicals

• Properties of Exponents
• Simplifying Radical Expressions
• Solving Radical Equations
• Operations with Radical Expressions

Rational Functions

• Understanding Rational Functions
• Graphing Rational Functions
• Asymptotes and Discontinuities
• Solving Rational Equations

Logarithms

• Introduction to Logarithms
• Properties of Logarithms
• Solving Exponential and Logarithmic Equations
• Applications of Logarithms in Real-Life Situations

Sequences and Series

• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Recursive Formulas
• Applications of Sequences and Series

Financial Mathematics

• Simple and Compound Interest
• Understanding Loans and Credit
• Investments and Annuities
• Budgeting and Financial Planning

Problem-Solving and Critical Thinking

• Applying Algebraic Concepts to Real-World Problems
• Geometric Problem Solving
• Interpreting and Solving Word Problems
• Developing Logical Reasoning and Analytical Thinking

Project-Based Learning

• Real-World Applications of Mathematical Concepts
• Group Projects and Collaborative Learning
• Mathematical Modeling and Research Projects

Assessment and Review

• Regular Quizzes and Tests
• Summative Assessments
• Homework and Classwork Feedback
• End-of-Term Exams and Comprehensive Reviews