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Pre-Algebra

Pre-Algebra introduces a student to variables, expressions, equations and more. The student also learns important concepts like Factors and Multiples, Ratios and Proportions, Exponents which are immensely useful in Algebra-I and Algebra-II

Factors and Multiples

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Learn to find Factors and Multiples of Natural Numbers
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Learn the concepts of L.C.M. and G.C.F.
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Finding if a number is Prime or Composite
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Prime Factorization of Natural Numbers

Ratios, Proportions, Percentages and more

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Visual understanding of Ratios and comparing two ratios
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Introduction to Rates, Distance-Speed-Time problems
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Introduction to Percentages using visual exercises
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Word problems with application of ratios and percentages

Exponents, Roots, Scientific Notations

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Introduction to Exponents and Powers of Whole Numbers
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Learn the Properties of Exponents
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Understand scientific notation and Arithmetics for them

Variables and Expressions

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Introduction to use of Variables in Mathematics and Expressions
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Substituting and Evaluating algebraic expressions, solving word problems
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Writing Algebraic expressions based on English description
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Algebraic properties like distributive property with variables
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Simplifying Algebraic expressions using combining the terms

Equations and Inequalities

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Basics of Algebraic Equations
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Solving single-variable equations using upto two steps
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Two step equations with rational numbers, decimals
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Solving upto two step inequalities in single variable and visualizing the solution set using a Number Line

Foundation of Algebra

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Review the basics of Pre-Algebra
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Arithmetics, Properties of Numbers and Order of Operations
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Working with Rational Numbers and Negative Numbers
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Variables and Single-Variable Expressions

Equations and Inequalities

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Solve any Equation containing one Variable
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Solve Word Problems related to the above
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Work with any one Variable Inequalities
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Solve Multi-variable Systems of Equations and Inequalities

Linear Equations

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Understanding characteristics of Lines like slope and intercepts
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Slope-Intercept and Point-Slope Forms
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Learn to model word problems with linear equations
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Equations of horizontal and vertical lines

Functions

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Figuring out which relationships are not Valid Functions
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Finding the Domain and Range of a Function using its Graph
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Odd and Even Functions
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Transformations of Functions

Quadratics

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Standard Form of Quadratic Equations
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Solving Quadratic Equations by Quadratic Formula, Factorization
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Vector Form of Quadratic Equations and Solving them by Competing the Square
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Drawing Parabolas and describing Graphs of Quadratic Functions
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Applying Quadratic Concepts to solve Word Problems

Polynomials

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Understanding the construction of polynomials and evaluation
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Arithmetics (Add/Subtract/Multiply/Divide) on polynomials
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Factorization of Polynomials using GCF and Grouping

Algebra-I

Algebra-I introduces the student to areas which have real world applications. Functions, Quadratics and Polynomials are such topics which are used in everyday technology building. Proper understanding of Pre-Algebra concepts like Factors, Multiples, Variables, Expressions and Equations is a pre-requisite.

Algebra-II

Algebra-II is an extension of Algebra-I introducing more complexity in some topics like Polynomials, Complex Numbers and Exponents. You will also learn newer and more complex topics in trigonometry which build a bridge to Pre-Calculus topics.

Polynomials

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Arithmetics (Addition, Subtraction and Multiplication) of Polynomials
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Concept of Average Rate of Change
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Factorization of Monomials, Binomials, Trinomials using G.C.F., common factors
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Factorization of special structures in Polynomials
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Long and Synthetic Division of Polynomials
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Applications of Remainder Theorem
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Graphing Polynomials by studying their zeros, positive and negative intervals and End behavior

Complex Numbers

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Introduction to Imaginary and Complex Numbers, Complex Plane
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Arithmetic (Addition, Subtraction and Multiplication) of Complex Numbers
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Dealing with Quadratic Equations having complex roots

Exponents and Radicals

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Working with Negative and Rational Exponents
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Applying properties of Exponents to Rational Exponents
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Simplifying or finding equivalent forms of exponential expression
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Solving Exponential equations using properties of Exponents

Exponential and Logarithmic Functions

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Identifying the Rate of Change of Real World Problems and mapping to exponential models
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Word Problems related to Compound Interest, Population growth and decay
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Introduction to Logarithms and converting between Exponents and Logarithms
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roperties of Logarithms and Applying them
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Solving Exponential and Logarithmic Equations

Trigonometry

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Introduction to Unit Circle and being able to locate Negative angles and Big Angles in the correct Quadrants
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Converting between Radians and Degrees
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Trigonometric Values of Special Angles
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Graphs of all trigonometric ratios, important characteristics of sinusoidal curves like Amplitude, Midline and Period
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Graphing sinusoidal functions
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Solving Word Problems which can be mapped to Sinusoidal models

Algebra

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Algebra-I

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Pre-Algebra

Algebra-I

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Pre-Algebra

Algebra-I

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Algebra