![]() Be able to determine the inverse of functions (swap x and y in the original function and solve for y).slant asymptotes, if any, if the numerator has degree 1 more than the denominator.horizontal asymptotes (imagine x to be a large number, M, and simplify.).vertical asymptotes (solve: denominator = 0).y intercepts (substitute: x = 0 into the function).Be able to graph various forms of rational functions by determining its:.Be able to graph and interpret inequalities relating to polynomial functions: know for which intervals the graph lies above/ below the x-axis.įor RATIONAL FUNCTIONS, f(x) = P(x)/ Q(x), you must:.Be able to calculate the roots, real and imaginary, of a polynomial.Determine the polynomial function given its roots and their multiplicity.Apply the Descartes Rule of Signs to determine the number of positive, negative and imaginary roots of a polynomial.Apply the Rational Roots Theorem to determine the possible roots of a polynomial.Be able to prove the Rational Roots Theorem.Use the Factor Theorem and Remainder Theorem to determine if a monomial is a factor of the polynomial function.Know the proofs of Remainder Theorem and Factor Theorem.Be able to divide a polynomial and a linear (binomial) expression using Synthetic Division, and determine the Quotient and Remainder.Be able to divide two polynomial functions using long division.Intervals where graph is above/ below the x-axis by using a sign table.Be able to graph polynomial functions in factored form.They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y 1 and c < 1 ![]() graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4).solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.solve equations and inequalities involving absolute values.They understand and use the rules of exponents. understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power.use properties of numbers to demonstrate whether assertions are true or false.identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable:.In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. ![]() Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. The following content standards apply for Algebra, in general.ĪLGEBRA I : Symbolic reasoning and calculations with symbols are central in algebra. These are expectations for that every current and prospective Math teacher ought to be familiar with. College and Universities where I taught, includes, CCBC Dundalk and Essex, Towson University and Stevenson University.Since the Praxis 5161 Exam Math Credential enables one teach High School Math, it's an extremely profitable exercise to scrutinize the Math content standards applicable for High School Math teachers in your state. And, I spent the last 20 years lecturing Developmental Mathematics to college students. I worked as a math specialist for grades 1 through 5. I have been giving private lessons in mathematics since 1981.
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