Age group: 10-19
System of Linear Inequalities and Equations - Solving System of Linear Inequalities - Linear Programming - Applications on System of Inequalities - Two-variable Linear Inequalities - Solution Cases of System of Linear Equations - Solving System of Linear Equations by Graphing - Solving System of Linear Equations by Substitution - Solving System of Linear Equations by Elimination - Solving Special System of Linear Equations (With Three Variables) - Applications on Systems of Linear Equations - System of Linear Inequalities and Equations : Practice/Assignment Matrices and Determinant - Matrix Operations - Multiplying Matrices - Determinants and Cramer's Rule - Identity and Inverse Matrices - Solving Systems Using Inverse Matrices - Matrices and Determinant : Practice/Assignment Exponents and Exponential Functions - Properties of Exponents - Fractional Exponents - Simplifying Algebraic Expressions - Scientific Notations - Number Operations in Scientific Notation - Exponential Functions - Graph of Exponential Functions - Applications of Exponential Functions - Compound Interest - Exponential Growth and Decay Models - Solving Exponential Equations - Exponential Functions With Real World Problem - Exponents and Exponential Functions : Practice/Assignment Logarithmic Functions - The Natural Base e - Logarithms and Logarithmic Functions - Transformations of Exponential and Logarithmic Functions - Properties of Logarithms - Solving Logarithmic Equations - Modeling With Logarithmic Functions - Logistic Growth Functions - Logarithmic Functions : Practice/Assignment Factoring and Polynomials - Monomials and Polynomials - Adding and Subtracting Polynomials - Multiplying Polynomials - Special Product of Polynomials - Evaluating and Graphing Polynomial Functions - Solving Polynomials in Factored Form - Factorization of Polynomials - Factoring Special Products - Factoring Polynomials Completely - Polynomials Functions - Remainder and Factor Theorems - Roots and Zeros - Using the Fundamental Theorem of Algebra - Analyzing Graphs of Polynomial Functions - Modeling With Polynomial Functions - Factoring and Polynomials : Practice/Assignment
Should have the basic understanding of the order of operations, functions, and inequalities
Enthuziasm to learn Algebra
Gain fluency in solving higher-order polynomial equations, understanding the Fundamental Theorem of Algebra, and exploring complex numbers and roots.
Deepen understanding of conic sections, including parabolas, ellipses, and hyperbolas, and their geometric properties.
Develop proficiency in matrix operations, including determinants, inverses, and solving systems of equations using matrices.
Explore advanced functions including exponential, logarithmic, and trigonometric functions, and their applications in modeling real-world scenarios.
Master advanced algebraic techniques such as polynomial long division and partial fraction decomposition to solve complex equations and inequalities.
Ability to deal with exponential and logarithmic functions
Skill of solving logarithmic and exponential equations
Mastery in solving the system of equations and inequalities
Understanding of matrices
Conceptual clarity of polynomials
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