Algebra I
Grade level: 8-10
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Tools of Algebra |
Using variables; exponents and order of operations; adding, subtracting, multiplying, and dividing real numbers; properties of real numbers; graphing data on the coordinate plane |
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Solving Equations |
Solving one-step, two-step, and multi-step equations; solving equations with variables on both sides; using equations in problem solving; using formulas in problem solving; using measures of central tendency |
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Solving Inequalities |
Graphs of inequalities; solving inequalities using addition, subtraction, multiplication, and division; solving multi-step inequalities; compound inequalities; absolute value equations and inequalities |
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Solving and Applying Proportions |
Ratio and proportion; proportions and similar figures, percent equations, and percent of change; applying ratios to probability; probability of compound events |
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Graphs and Functions |
Relating graphs to events; relations and functions; function rules, tables, and graphs; writing a function rule; direct variation and describing number patterns |
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Linear Equations and Their Graphs |
Rate of change and slope; graphing linear equations: slope-intercept form; standard form of a linear equation; writing linear equations: point-slope form; parallel and perpendicular lines; scatter plots and equations of lines; graphing absolute value equations |
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Systems of Equations and Inequalities |
Solving systems by graphing, substitution, and combining; applications of linear systems; linear inequalities and systems of linear inequalities |
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Exponents and Exponential Functions |
Zero and negative exponents; scientific notation; multiplication and division properties of exponents; geometric sequences; exponential functions, growth, and decay |
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Polynomials and Factoring |
Adding, subtracting, and multiplying polynomials; factoring trinomials and special cases |
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Quadratic Equations and Functions |
Exploring quadratic graphs; quadratic functions; finding and estimating square roots; solving quadratics by factoring, completing the square, and quadratic formula; evaluating the discriminant |
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Radical Expressions and Equations |
Simplifying radicals; The Pythagorean Theorem, distance, and midpoint formulas; operations with radical expressions; solving radical equations; graphing square root functions; trigonometric ratios |
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Rational Expressions and Functions |
Inverse variation; graphing rational functions; simplifying rational expressions; multiplying and dividing rational expressions; dividing polynomials; adding and subtracting rational expressions; solving rational equations; counting methods, permutations, and combinations |