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ALGEBRA I COURSE CURRICULUM (PART 1)
Introduction to Algebra Variables
Grouping Symbols
Equations
Translating Words into Symbols
Translating Sentences into Equations
Translating Problems into Equations
A Problem Solving Plan
Number Lines
Opposites and Absolute Value
Rules of Real Numbers Basic Laws, Properties or Assumptions
Addition on a Number Line
Addition Rules for Real Numbers
Subtraction Rules for Real Numbers
The Distributive Law
Multiplication Rules for Real Numbers
Problem Solving w/ Consecutive Integers
The Reciprocal of a Real Number
Division Rules for Real Numbers
Solving Equations Transforming Equations: Addition/Subtraction
Transforming Equations: Multiplication/Division
Using Several Transformations
Equations w/Variables on Both Sides
Word Problems
Word Problems with Cost (Chart Setup)
Rules of Polynomials Exponents
Adding and Subtracting Polynomials
Multiplying Monomials
Powers of Monomials
Multiplying Polynomials by Monomials
Multiplying two Polynomials
Transforming Formulas
Word Problems (D=r x t)
Word Problems with Area
Word Problems with no Solution
Factoring Polynomials Factoring Integers and GCF
Dividing Monomials
Monomials Factors of Polynomials
Multiplying Binomials Mentally
Factoring with Differences of two Squares
Factoring Squares of Binomials
Factoring Trinomials w/positive constant
Factoring Trinomials w/negative constant
Factoring Trinomials w/coefficient of x² term
Factoring Four Terms by Grouping
Combined Factoring Problems
Solving Equations by Factoring
Word Problems Solved by Factoring
Rules of Fractions Simplifying Fractions
Multiplying Fractions
Dividing Fractions
Least Common Denominators
Adding and Subtractions Fractions
Mixed Numerals
Polynomial Long Division and Synthetic Division
Complex Fractions
Word Problems with Fractions Ratios
Proportions
Equations w/Fractional Coefficients
Fractional Equations
Percents
Word Problems using Percents
Word Problems with mixtures
Word Problems with Work
Negative Exponents
Scientific Notation
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ALGEBRA I COURSE CURRICULUM (PART 2)
REVIEW OF ALGEBRA I PART 1
Introduction to Algebra Variables
Grouping Symbols
Equations
Translating Words into Symbols
Translating Sentences into Equations
Translating Problems into Equations
A Problem Solving Plan
Number Lines
Opposites and Absolute Value
Rules of Real Numbers Basic Laws, Properties or Assumptions
Addition on a Number Line
Addition Rules for Real Numbers
Subtraction Rules for Real Numbers
The Distributive Law
Multiplication Rules for Real Numbers
Problem Solving w/ Consecutive Integers
The Reciprocal of a Real Number
Division Rules for Real Numbers
Solving Equations Transforming Equations: Addition/Subtraction
Transforming Equations: Multiplication/Division
Using Several Transformations
Equations w/Variables on Both Sides
Word Problems
Word Problems with Cost (Chart Setup)
Rules of Polynomials Exponents
Adding and Subtracting Polynomials
Multiplying Monomials
Powers of Monomials
Multiplying Polynomials by Monomials
Multiplying two Polynomials
Transforming Formulas
Word Problems (D=r x t)
Word Problems with Area
Word Problems with no Solution
Factoring Polynomials Factoring Integers and GCF
Dividing Monomials
Monomials Factors of Polynomials
Multiplying Binomials Mentally
Factoring with Differences of two Squares
Factoring Squares of Binomials
Factoring Trinomials w/positive constant
Factoring Trinomials w/negative constant
Factoring Trinomials w/coefficient of x² term
Factoring Four Terms by Grouping
Combined Factoring Problems
Solving Equations by Factoring
Word Problems Solved by Factoring
Rules of Fractions Simplifying Fractions
Multiplying Fractions
Dividing Fractions
Least Common Denominators
Adding and Subtractions Fractions
Mixed Numerals
Polynomial Long Division
Complex Fractions
Word Problems using Fractions Ratios
Proportions
Equations w/Fractional Coefficients
Fractional Equations
Percents
Word Problems using Percents
Word Problems with mixtures
Word Problems with Work
Negative Exponents
Scientific Notation
START THE NEW MATERIAL HERE FOR ALGEBRA I PART 2
Equations in Two Variables and Functions Equations in Two Variables
Cartesian Plane/Ordered Pairs
Slope of a Line
Slope Intercept Form of Linear Equation
Determining an Equation of a Line
Functions
Composite Functions
Linear & Quadratic Functions
Direct Variation **
Inverse Variation **
Solving Systems of Linear Equations Graphing Method of Solving
The Substitution Method
Word Problems with Two Variables
Addition-or-Subtraction Method
Multiplication w. +/- Method
Word Problems Wind and Current
Word Problems Puzzle/Age/Etc.
Inequalities Order of Real Numbers
Solving Inequalities
Word Problems with inequalities
Solving Combined Inequalities
Absolute Value in Open Sentences
Absolute Value w/Graphing Solution
Graphing Linear Inequalities
Graphing Systems of Linear Inequalities
Rational and Irrational Numbers Properties of Rational Numbers
Decimal Forms of Rational Numbers
Rational Square Roots
Irrational Square Roots
Square Roots of Variable Expressions
The Pythagorean Theorem
Multiplying/Dividing/Simplifying Radicals
Adding/Subtracting Radicals
Multiplying Binomials Containing Radicals
Solving Radical Equations
Quadratic Functions Solving Quadratic Equations by Factoring
Quadratic Equations w/ Perfect Squares
Solving a Quadratic Equation by Graphing
Solving a Quadratic Equation w/ Calculator
Solving by Completing the Square
Solving by the Quadratic Formula
Graphing Quadratic Equations
Using the Discriminant to determine the root
Several Methods
Word Problems Involving Quadratic Equation
Variation Involving Squares **
Joint and Combined Variation **
Enrichment Probability
Statistics
Geometry
Trigonometry
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ALGEBRA II - HONORS COURSE CURRICULUM
Basic Algebra I Concepts Real Numbers
Simplifying Expressions
Properties & Laws of Real Numbers
Adding & Subtracting Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Solving Equations (with one variable)
Word Problems
Inequalities Solving Inequalities (with one variable)
Solving Combined Inequalities
Word Problems with Inequalities
Absolute Value with Inequalities
Linear Equations & Functions Solving Equations (with two variables)
Graphing Linear Equations by plotting points
Slope of a Line
Graphing Linear Equations by Slope Intercept
Finding Equations of a Line
Matrices and Determinants Matrices
Addition of Matrices
Scalar Multiplication
Additive Identity of Matrices
Additive Inverse of a Matrix
Multiplication of Matrices
Multiplicative Inverse of a Matrix
Determinant
Cramer's Rule
Solving Systems of Equations Solving by Graphing
Solving by Calculator
Solving simultaneous equations
Solving by Substitution
Solving by Cramer's Rule
Word Problems
Graphing Linear Inequalities in two variables
Functions Domain
Range
Definition and Vertical Line Test of a Function
One-to-one Function and Horizontal Line Test
Composition Functions
Linear Functions
Signum Function
Greatest Integer Function
Relations
Polynomials Definition and Terms of Polynomials
Addition and Subtraction of Polynomials
Laws of Exponents
Multiplying Polynomials
Factoring Polynomials Factoring Numerous Polynomials
Solving Polynomials Equations
Solving Polynomial Inequalities
Rational Expressions Simplifying Rational Expressions
Scientific Notation
Significant Digits
Factoring to Solve Rational Expressions
Multiplication & Division of Rational Express.
Complex Fractions
Solving Fractional Equations
Word Problems
Irrational and Complex Numbers Roots of Real Numbers
Properties of Radicals
Addition of Radicals
Multiplication & Division of Radicals
Equations with Radicals
Rational and Irrational Numbers
Imaginary Number i
Working with Imaginary Numbers
Quadratic Equations & Functions Solving by Factorin
Solving by Graphing
Solving by Calculator
Solving by Quadratic Formula
Solving by Completing the Square
The Discriminant
Solving Difficult Equations Using Substitution
Parabola: Vertex, Axis of Symmetry, etc.
Graphing Quadratic Equations
Finding Quadratic Equations Given the Roots
Variation Direct Variation
Inverse Variation
Joint Variation
Polynomials Synthetic Division
Remainder Theorem
Factor Theorem
Conjugate Root Theorem
Descartes' Rule of Signs
Rational Root Theorem
Intermediate-Value Theorem
Linear Interpolation
Analytic Geometry Distance Formula
Midpoint Formula
Circles
Parabolas
Ellipses
Hyperbolas
Conic Sections not Centered at Origin
Solving Quadratic Systems
Exponential and Logarithmic Functions Rational Exponents
Real Number Exponents
Composition and Inverses of Functions
Logarithmic Functions
Laws of Logarithms
Application of Logarithms
Word Problems: Exponential Growth & Decay
Natural Logarithms
Sequences and Series Arithmetic Sequence
Geometric Sequence
Arithmetic Series
Geometric Series
Sigma Notation & Sums of Series
Binomial Expansion by Pascal's Triangle
Binomial Expansion by Binomial Theorem
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