Verified Course

Algebra I

Skills:
Set Theory, Graphing, Problem Solving, Mathematical Modeling, Order of Operations, Equation Solving, Algebraic Manipulation
Duration:
1 year

General Overview The following concepts are addressed in this course: Monomial and polynomial expressions Algebraic addition and subtraction, algebraic multiplication and division Factoring, quadratic equations, positive and negative numbers, averages, percent, interest, ratio and proportions Description of the content of each PACE: PACE 1097 - 1108 1097 Definitions of algebra, signs of operation, algebraic expressions Exponents, radical signs, powers and roots Order of operations for combining terms Positive and negative numbers Adding, subtracting, multiplying, dividing Stating numerical relationships 1098 Solving and proving algebraic equations Equations with one unknown Axioms for solving algebraic equations Transposing terms in algebraic equations Cancelling terms in algebraic equations Simplifying equations by multiplying or dividing Equations with parentheses Word problems 1099 Review of monomials: addition-subtraction; multiplication-division Polynomials in proper order: addition-subtraction; multiplication-division Review of basic Math and Algebra 1100 Using parentheses, brackets, and braces in algebra Multiplying polynomials horizontally Recognizing the difference of two squares Factoring the difference of two squares Recognizing a perfect square trinomial Factoring a perfect square trinomial Factoring polynomials 1101 Algebraic fractions: reducing-simplifying; addition-subtraction; multiplication-division Simplifying complex fractions Substituting numerical values and simplifying Solving and proving fractional equations Word problems Review of basic Math and Algebra 1102 Simple simultaneous equations: addition, substitution, subtraction Algebraic graphs Linear equations Inconsistent and dependent equations Word problems Review of basic math shortcuts for multiplying and dividing 1103 Recognizing sets and subsets Stating the union and intersection of sets Using Venn diagrams Equations with one unknown: recognizing, solvi

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