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- Algebra 2

#### Algebra 2

- Identifying Parent Functions - Constant, Linear, Absolute and Quadratic Functions
- Transformation of Linear and Absolute Value Functions
- Slope of a Linear Function from Graph, Two Points and Tables
- Slope-Intercept Form of Linear Functions
- Modeling with Linear Functions
- Finding Lines of Fit and Lines of Best Fit
- Slope and Line equations for a Parallel and Perpendicular Lines
- Solving Linear Systems - Two variable and Three Variable systems

- Transformations of Quadratic Functions
- Characteristics of Quadratic Functions
- Properties of Parabolas
- Graphing a Quadratic function in Standard Form
- Minimum and Maximum values of a Quadratic Function
- Graphing Quadratic Functions in Intercept Form
- Finding Focus of a Parabola
- Graphing an Equation of a Parabola
- Writing Equations of Parabolas
- Modeling with Quadratic Functions

- Solving Quadratic Equations by Graphing, using Square Roots, by Factoring
- Solving Quadratic Equations using Quadratic formula and using discriminant
- Classifying Complex Numbers
- Square roots of Negative Numbers
- Operations with Complex Numbers
- Quadratic Equations - Complex solutions and Zeros
- Quadratic Equations using Completing the Square
- Solving Non-linear systems
- Quadratic Inequalities

- Identifying and Graphing Polynomial Functions
- Evaluating Polynomial Functions and Describing End Behaviour
- Cubing Binomials
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Polynomial Identities
- Pascal's Triangle
- Dividing Polynomials - Long Division of Polynomials
- Dividing Polynomials - Synthetic Division
- Remainder Theorem
- Factoring Polynomials - By finding common Monomials, by Grouping
- Factor Theorem
- Solving Polynomial Equations - finding solutions and zeroes
- Rational Root Theorem
- Irrational Conjugates Theorem
- Transformation of Polynomial Functions
- Analyzing Graphs of Polynomial Functions - Approximating Turning Points, Location Principle, Even and Odd Functions,
- Modeling with Polynomial Functions
- Fundamental Theorem of Algebra and Binomial Theorems

- nth Roots and Rational Exponents
- Solving equations using nth Roots
- Properties of Rational Exponents and Radicals
- Simplifying Radical Expressions
- Graphing Radical Functions
- Transforming Radical Functions
- Graphing Parabolas and Circles
- Solving Radical equations and Inequalities
- Performing Function Operations
- Graphing Functions and their Inverses
- Inverse of a Linear and Quadratic Functions
- Inverse of a Radical and Cubic Functions

- Exponential Growth and Decay Functions
- Graphing and Simplifying Natural Base Functions
- Logarithms and Logrithmic Functions
- Inverse Functions of Logarithmic Functions
- Transformations of Logarithmic and Exponential Functions
- Properties of Logarithms
- Solving Exponential and Logarithmic Equations
- Modeling with Logarithmic and Exponential Functions

- Recognizing Direct and Indirect Variation
- Writing Inverse Variation Equations
- Graphing Rational Functions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Solving Rational Equations

- Defining and using sequences and series
- Rules for Series and Writing Series using Summation
- Analyzing Arithmetic sequences and series
- Arithmetic sequences - Writing a rule, Finding sums of finite Arithmetic series, Sum of Arithmetic Series
- Analyzing Geometric Sequences and series
- Sum of Finite Geometric Series, nth term
- Sums of Infinite Geometric Series
- Recursive Rules with Sequences
- Convergent and Divergent Geometric series
- Partial sums of Arithmetic and Geometric series

- Trigonometric Identities
- Six Trigonometric Ratios - Finding Angles and Side lengths
- Pythagorean theorem and its converse
- Angles and Radian Measure - Writing Radian and Degree measures of Angles
- Finding Coterminal Angles
- Laws of Sines and Cosines
- Trigonometric Functions of Any Angle
- Unit Circle and Reference Angles
- Properties and Equations of Sine Functions
- Properties and Equations of Cosine Functions
- Modeling with Trigonometric Functions
- Sum and Differences Formulas
- Complementary Angle Identities, Symmetry and Periodicity of Trigonometric Functions

- Sample Spaces and Probability
- Identifying Independent and Dependent Events
- Finding Theoretical and Experimental Probabilities
- Probability of Independent Events
- Probability of Dependent Events
- Comparing Dependent and Independent Events
- Finding Conditional Probabilities
- Two-way tables and Probability
- Finding Probability using Permutations and Combinations
- Probability of Disjoint and Overlapping events
- Binomial Distributions
- Finding Probability using Addition rule and Normal Distribution

- Normal Distributions
- Finding Normal Probability
- Interpreting Normally Distributed Data
- Z-score and Standard normal table
- Recognizing Normal Distributions
- Populations, Samples and Hypotheses
- Collecting Data
- Experimental Design
- Making Inferences from Sample surveys
- Making Inferences from Experiments
- Mean, Median, Mode and Range
- Quartiles and Mean Absolute Deviation
- Variance and Standard Deviation

- Vertex, Focus, Directrix and Axis of Symmetry of a Parabola
- Equations of Parabolas in General and Vertex Forms
- Graphing Parabolas and Circles

- Centre, Vertices, Co-vertices, Foci, Major and Minor Axes of an ellipse
- Equations of Ellipses in Standard form and general forms

- Centre, Vertices, Foci, Asymptotes of a Hyperbola
- Length of transverse or Conjugate of a Hyperbola
- Equations of hyperbolas in General Form and Standard form

- Centre, Radius and Diameter of a Circle
- Equations of Circles in Standard form using graphs and tables
- Graph circles

- Finding limits using Addition, Subtraction, Multiplication and Division Law
- Find limits using power and root laws
- Limits of Polynomials and Rational Functions

The Algebra 2 course represents an essential part of high school mathematics education, providing students with crucial knowledge and skills to succeed in various fields. This mathematical course equips students with foundations on linear equations, inequalities, and graphs, arming them with vital problem-solving abilities that can be applied across varying disciplines. Matrices and polynomials are also covered in the course, providing students with fundamental techniques that prove useful in advanced mathematics courses.

Algebra 2 , educates math students on linear radical equations, expressions inequalities, and graphs, quadratic matrices, equations, polynomials, enabling radical them expressions, to quadratic grasp equations, the functions, complex exponential, mathematical logarithmic principles expressions, behind sequences, these series, challenging probability, topics. trigonometry. The course also covers functions, exponential and logarithmic expressions, sequences and series, probability, and trigonometry, providing students with an in-depth understanding of mathematical concepts.

High school students pursuing mathematics must enroll in Algebra 2 for a comprehensive understanding of mathematical principles, preparing them for further studies in math-intensive disciplines like engineering, physics, and statistics. By mastering the course content, students can lay a solid foundation for their future academic and professional pursuits.

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**How Refresh Kid Program works ? **

We follow the US Common Core curriculum, especially as per your School State Standards. Our goals are to

1) Make sure Students understand the concept clearly,

2) Get enough practice to Master the topics.

3) Talk to the Math Teacher during the sessions for any Homework/ Assignment Help.

__Parents usually pick one of these goals:__

1) Catch up to the grade level and give them enough practice so they can perform well in the class.

2) Just align to the class and go a little ahead in the class curriculum

3) Exceeding expectations of the grade level and preparing well for Math Competitions like Math Olympiad, Math League, Noetic Math, AMC8, Math Kangaroo, Math Counts.

We have Monthly Competition within Refresh Kid students in the same level as your child.

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** Please Note:** Refresh Kid offers after school math services to help students increase their mastery of the subject. It is important to note that our services are intended to complement and enhance the regular school curriculum, and not to replace it. As such, all students who seek extra help from Refresh Kid are expected to attend and engage in a strong school curriculum. Our services are not a substitute for regular class attendance and participation