Age group: 10-19
Quadratic Polynomials - Determine the Range and Domain of Quadratic Functions - Graphing Quadratic Functions F(x)=ax^(2), F(x)=ax^(2)+c, F(x)=ax^(2)+bx+c, F(x)=a(x-h)^(2)+k - Using Intercept Form - Comparing Linear, Exponential, and Quadratic Functions - Solving Quadratic Equations by Graphing - Solving Quadratic Equations Using Square Roots - Complex Numbers - Solving Quadratic Equations by Completing the Square - Solving Quadratic Equations Using the Quadratic Formula - Solving Non-linear System of Equations Solving Non-linear System of Equations - Graphing and Solving Quadratic Inequalities Graphing and Solving Quadratic Inequalities - Modeling with Quadratic Functions Modeling With Quadratic Functions - Quadratic Polynomials : Practice/Assignment Radical Functions and Equations - Simplify Radical Expressions - Graphing Square Root Functions - Graphing Cube Root Functions - Inverse of a Function - Radical Functions and Equations : Practice/Assignment Rational Exponents and Radical Functions - Nth Roots and Rational Exponents - Properties of Rational Exponents and Radicals - Graphing Radical Functions - Solving Radical Equations and Inequalities - Performing Functions Operations - Inverse of a Function - Statistics and Statistical Graphs - Rational Exponents and Radical Functions : Practice/Assignment Rational Equations and Functions - Inverse and Joint Variation - Graphing Simple Rational Functions - Graphing General Rational Functions - Multiplying and Dividing Rational Expressions - Addition, Subtraction, and Complex Fractions - Solving Rational Equations - Rational Equations and Functions : Practice/Assignment Quadratic Relations and Conic Sections - The Distance and Midpoint Formulas - Parabolas - Circles - Ellipses - Hyperbolas - Graphing and Classifying Conics - Solving Quadratic Systems - Quadratic Relations and Conic Sections : Practice/Assignment Sequences and Series - Defining and Using Sequences and Series - Analyzing Arithmetic Sequences and Series - Analyzing Geometric Sequences and Series - Finding Sums of Infinite Geometric Series - Using Recursive Rules With Sequences - Sequences and Series : Practice/Assignment
Should have skill of the solving the linear and non-linear systems of equations
Enthuziasm to learn Algebra
Extend skills in trigonometry to include identities, inverse functions, and solving trigonometric equations, preparing for advanced calculus and physics coursework.
Deepen understanding of sequences and series, learning techniques for summation, convergence tests, and applications in mathematical modeling and finance.
Explore advanced topics in conic sections, including ellipses, hyperbolas, and parabolas, and their applications in geometry and physics.
Develop proficiency in analyzing and graphing functions such as logarithmic, exponential, and rational functions, with a focus on transformations and asymptotic behavior.
Master advanced algebraic techniques including polynomial division, complex numbers, and matrices, applying them to solve intricate equations and systems.
Skill of solving the radical equations and inequalities
Ability to compute the inverse of a function
Ability to work with different types of sequences and series
Understanding of quadratic functions and their applications in geometry
Mastery in solving the rational equations
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