Welcome to Fresno Academy
Mathematics Curriculum
Mathematics Syllabus [ 13yr - 16yrs ]
Algebra and Algebraic Expressions
- Simplifying Algebraic Expressions
- Operations with Polynomials
- Factoring Polynomials
- Solving Quadratic Equations by Factoring
- Completing the Square
- The Quadratic Formula
Linear Equations and Inequalities
- Solving Linear Equations
- Solving Systems of Linear Equations
- Graphing Linear Equations
- Linear Inequalities and their Graphs
- Absolute Value Equations and Inequalities
Functions and Graphs
- Introduction to Functions
- Domain and Range of Functions
- Linear Functions and their Graphs
- Quadratic Functions and Parabolas
- Exponential Functions and their Graphs
Geometry
- Angles and Lines
- Parallel and Perpendicular Lines
- Properties of Triangles
- Congruent and Similar Triangles
- Pythagorean Theorem and Its Applications
- Properties of Circles
- Volume and Surface Area of 3D Shapes
Trigonometry
- Introduction to Trigonometric Ratios (Sine, Cosine, Tangent)
- Using Trigonometric Ratios to Solve Right Triangles
- Applications of Trigonometry in Real-Life Problems
Statistics and Probability
- Collecting and Analyzing Data
- Measures of Central Tendency (Mean, Median, Mode)
- Measures of Spread (Range, Interquartile Range, Variance, Standard Deviation)
- Understanding Probability and Probability Rules
- Experimental and Theoretical Probability
Rational and Irrational Numbers
- Introduction to Rational and Irrational Numbers
- Operations with Rational Numbers
- Approximating Irrational Numbers
- Real Number System
Exponents and Radicals
- Laws of Exponents
- Simplifying Expressions with Exponents
- Simplifying Radicals
- Operations with Radicals
Proportions and Variation
- Direct and Inverse Proportions
- Solving Problems Involving Proportions
- Applications of Proportions in Real-Life Situations
Financial Mathematics
- Understanding Interest Rates (Simple and Compound Interest)
- Introduction to Loans and Mortgages
- Taxes, Discounts, and Markups
- Budgeting and Personal Finance
Problem-Solving and Logical Reasoning
- Using Algebraic Techniques to Solve Problems
- Applying Geometry to Solve Complex Problems
- Interpreting Word Problems and Real-Life Applications
- Developing Critical Thinking and Reasoning Skills
Project-Based Learning
- Mathematical Modeling Projects
- Real-Life Applications of Math
- Collaborative Projects and Presentations
Assessment and Review
- Regular Quizzes and Tests
- Summative and Formative Assessments
- Homework Review and Feedback
- End-of-Term Exams and Review Sessions