Algebra I. Course Outline
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1 Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative and Associative Properties G. Logical Reasoning H. Graphs and Functions I. Statistics: Analyzing Data by Using Tables and Graphs II. Real Numbers A. Rational Numbers on the Number Line B. Adding and Subtracting Rational Numbers C. Multiplying Rational Numbers D. Dividing Rational Numbers E. Statistics: Displaying and Analyzing Data F. Probability: Simple Probability and Odds G. Square Roots and Real Numbers III. Solving Linear Equations A. Writing Equations B. Solving Equations by Using Addition and Subtraction
2 C. Solving Equations by Using Multiplication and Division D. Solving Multi-Step Equations E. Solving Equations with the Variable on Each Side F. Ratios and Proportions G. Percent of Change H. Solving Equations and Formulas I. Weighted Averages IV. Graphing Relations and Functions A. The Coordinate Plane B. Transformations on the Coordinate Plane C. Relations D. Equations as Relations E. Graphing Linear Equations F. Functions G. Arithmetic Sequences H. Writing Equations from Patterns V. Analyzing Linear Equations A. Slope B. Slope and Direct Variation C. Slope-Intercept Form D. Writing Equations in Slope-Intercept Form E. Writing Equations in Point-Slope Form F. Geometry: Parallel and Perpendicular Lines G. Statistics: Scatter Plots and Lines of Fit
3 VI. Solving Linear Inequalities A. Solving Inequalities by Addition and Subtraction B. Solving Inequalities by Multiplication and Division C. Solving Multi-Step Inequalities D. Solving Compound Inequalities E. Solving Open Sentences Involving Absolute Value F. Graphing Inequalities in Two Variables VII. Solving Systems of Linear Equations and Inequalities A. Graphing Systems of Equations B. Substitution C. Elimination Using Addition and Subtraction D. Elimination Using Multiplication E. Graphing Systems of Inequalities VIII. Polynomials A. Multiplying Monomials B. Dividing Monomials C. Scientific Notation D. Polynomials E. Adding and Subtracting Polynomials F. Multiplying a Polynomial by a Monomial G. Multiplying Polynomials H. Special Products IX. Factoring A. Factors and Greatest Common Factors
4 B. Factoring Using the Distributive Property C. Factoring Trinomials with Leading Coefficient of 1 D. Factoring Trinomials with Leading Coefficient other than 1 E. Factoring Differences of Squares F. Perfect Squares and Factoring X. Quadratic and Exponential Functions A. Graphing Quadratic Functions B. Solving Quadratic Equations by Graphing C. Solving Quadratic Equations by Completing the Square D. Solving Quadratic Equations by Using the Quadratic Formula E. Exponential Functions F. Growth and Decay G. Geometric Sequences XI. Radical Expressions and Triangles A. Simplifying Radical Expressions B. Operations with Radical Expressions C. Radical Equations D. The Pythagorean Theorem E. The Distance Formula F. Similar Triangles G. Trigonometric Ratios XII. Rational Expressions and Equations A. Inverse Variation B. Rational Expressions
5 C. Multiplying Rational Expressions D. Dividing Rational Expressions E. Dividing Polynomial Expressions F. Rational Expressions with Like Denominators G. Rational Expressions with Unlike Denominators H. Mixed Expressions and Complex Fractions I. Solving Rational Equations
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