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|Math 209 R4 |Math 209 R5 |
|Week 1: Exponents And Polynomials |Week One: Systems of Linear Equations |
| | |
|Identify a term, coefficient, factor, base, and exponent in an |Solve systems of linear equations, linear inequalities, and |
|algebraic expression. |linear equations with three variables. |
|Simplify expressions involving terms, coefficients, factors, | |
|bases, and exponents. |Solve word problems with three variables. |
|Use the order of operations in algebraic expressions. | |
|Simplify polynomials. |Apply systems of linear equations to real-world problems. |
|Demonstrate the distributive property for polynomials. | |
|Perform operations on polynomials using addition, subtraction, | |
|multiplication, and division. | |
|• Apply scientific notation to | |
|real-world situations. | |
|Week 2: Factoring Polynomials |Week Two: Nonlinear Expressions |
| | |
|Demonstrate that factoring a polynomial is the reverse of |Factor polynomial expressions. |
|multiplying a polynomial. |Simplify rational expressions. |
|Use Greatest Common Factor (GCF) to factor monomials out of |Multiply, divide, add, and subtract rational expressions. |
|quadratic trinomials. |Simplify radical expressions and complex numbers. |
|Factor single-variable polynomials by grouping. |Apply nonlinear expressions to real-world problems. |
|Factor quadratic trinomials. | |
|Factor multivariate polynomials by grouping. | |
|Factor differences of squares. | |
|Factor complete squares. | |
|Apply the Pythagorean Theorem to real-life problems. | |
|Solve quadratic equations using the zero factor property. | |
|Week 3: Rational Expressions and Equations |Week Three: Nonlinear Equations |
| | |
|Identify rational expressions. |Solve quadratic equations by factoring. |
|Identify restrictions on the variable in the denominator of a |Solve rational equations and formulas. |
|rational expression. |Solve proportion and variation problems. |
|Simplify rational expressions. |Solve equations involving radical expressions. |
|Determine the least-common denominator (LCD) to combine rational |Solve quadratic equations. |
|expressions. |Apply nonlinear equations to real-world problems. |
|Perform operations on rational expressions. | |
|Solve rational equations. | |
|Apply rational equations and proportions to real-life problems. | |
|Week 4: Radical Expressions, Radical Equations and Quadratic |Week Four: Nonlinear Functions, Sequences And Series |
|Formula | |
| |Evaluate absolute value, polynomial, rational, radical, and |
|Simplify radical expressions. |quadratic functions. |
|Perform operations with radical expressions. |Perform operations on functions. |
|Solve radical equations. |Identify composite and inverse functions. |
|Solve a quadratic equation using the quadratic formula. |Evaluate exponential and logarithmic functions. |
|Determine the number of solutions for a quadratic equation by |Identify arithmetic and geometric sequences. |
|using the discriminant. |Evaluate arithmetic and geometric series. |
|Solve word problems using quadratic equations. |Apply nonlinear functions, sequences, and series to real-world |
| |problems. |
|Week 5: Algebra Review |Week Five: Fundamentals of College Algebra Review I |
| | |
|• Review All objectives From |Review all objectives from Weeks One through Four. |
|Weeks One through Four. |Analyze applications of mathematics. |
| |( LT Presentations |
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