Grade 9 or 10 USA Pre-Calculus Syllabus

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Categories: USA Class Maths

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Functions
- Functions and Relations
- Domain and Range
- Even and odd functions
- Transformation of functions
- Trigonometric equations
Trigonometry
- Graphs of Sine and cosine
- Transformations of sine and cosine
- Inverse trigonometric functions
- Sinusoidal equations and models
- Angle addition
- Using trigonometric identities
Polynomials
- Addition and subtraction of polynomials
- Division of polynomials
- Binomial theorem
- Graphs of polynomial func...

Functions
- Functions and Relations
- Domain and Range
- Even and odd functions
- Transformation of functions
- Trigonometric equations
Trigonometry
- Graphs of Sine and cosine
- Transformations of sine and cosine
- Inverse trigonometric functions
- Sinusoidal equations and models
- Angle addition
- Using trigonometric identities
Polynomials
- Addition and subtraction of polynomials
- Division of polynomials
- Binomial theorem
- Graphs of polynomial functions and solving equations
- Graphing rational functions and reciprocal functions
Exponential and Logarithms
- Applications of exponential functions
- Logarithms
- Solving exponential and logarithmic equations
- Graphing logarithmic functions
Conic sections
- Feature of a circle
- Equations of a circle
- Center, radii, focii of an ellipse
- Focus and directrix of a parabola
- Hyperbola
Vectors
- Introduction to vectors
- Operations with vectors
- Applications of vectors
Complex numbers
- Complex numbers and imaginary numbers
- The complex plane: Complex numbers
- Addition, Subtraction and Multiplication of complex numbers
- Distance and midpoint of complex numbers
- Complex conjugates and dividing complex numbers
- Identities with complex numbers
- Absolute value and angle of complex numbers
- Polar form of complex numbers, multiplication and division
Matrices
- Introduction
- Representing linear systems of equations with augmented matrices
- Matrix row operations
- Row-echelon form and Gaussian elimination
- Addition, Subtraction, Multiplication of Matrices
- Multiplying matrices by scalars
- Properties of matrix addition & scalar multiplication
- Properties of matrix multiplication
- Matrices as transformations
- The determinant of a 2×2 matrix
- Finding the inverse of a matrix using its determinant
- Solving equations with inverse matrices
- Model real-world situations with matrices
Note: Any other topic as per inputs by students provided during the course will be covered

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