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##### Level 1 Topic List
• Solve for part, whole, or percent using the percent equation.
• Solve applications (mileage, sales tax, etc.) involving percentages.
• Solve application problems involving fractions.
• Apply order of operations with whole numbers, integers, fraction and decimal numbers.
• Compute averages.
• Write ratios and solve proportions.
• Write ratios and solve proportions in application problems.
• Find the unknown in a proportion.
• Convert among fractions, decimals, and percents.
• Evaluate algebraic expressions.
• Simplify algebraic expressions.
• Solve linear equations.
• Find square roots of perfect squares or cube roots of perfect cubes.
##### Level 2 Topic List
• Apply order of operations with whole numbers, integers, fraction, or decimal numbers.
• Evaluate an algebraic expression for given values.
• Simplify algebraic expressions.
• Solve linear equations.
• Set up and solve a word problem involving a linear equation.
• Solve a linear system.
• Set up and solve a word problem involving a linear system.
• Solve a formula for a specified variable.
• Write and solve inequalities. Write the answer in interval notation.
• Graph linear equations.
• Graph a linear inequality.
• Write the equation of a line given information about the line such as slope, point(s), intercept(s).
• Simplify expressions involving integer or rational exponents. Simplify expressions using a combination of exponent rules.
• Add, subtract, and multiply polynomials.
• Factor polynomials.
• Divide a polynomial by a monomial. Divide a polynomial by a polynomial using long division.
• Simplify a rational expression. Evaluate a rational expression for a given value.
• Add, subtract, multiply, and divide rational expressions. Simplify a complex fraction.
• Solve a rational equation.
• Solve an absolute value equation.
• Solve an absolute value inequality. Write the answer in interval notation.
• Simplify radical expressions involving variables.
• Use rational exponents to simplify a radical expression.
• Add, subtract, multiply, divide complex numbers.
• Graph a quadratic equation. Locate the vertex.
##### Level 3A Topic List
• Pythagorean Theorem Application
• Find unknown lengths in similar triangles
• Find and simplify difference quotient
• Simplify rational exponents using laws of exponents
• Use linear equations to solve problems.
• Solve a formula for a variable.
• Using linear equations to solve mixture problems.
• Using linear equations to solve dimension problems.
• Solve absolute value inequality.
• Evaluate a function at both numeric and symbolic values.
• Find slopes and equations of perpendicular and parallel lines.
• Find the domain of rational functions.
• Find the domain of radical functions.
• Find the composition of functions.
• Find the inverse of a function.
• Graph parabolas using standard form.
• Solve polynomial inequalities.
• Graph logarithmic functions.
• Find the domain of a logarithmic function.
• Solve exponential equations.
• Solve logarithmic equations.
• Solve applied problems involving exponential and logarithmic equations. (exponential growth and decay)
• Use logistic growth models.
• Model exponential growth and decay.
• Complete the square.
##### Level 3B Topic List
• Solve application problems (Pythagoras Theorem)
• Find unknown lengths in similar triangles.
• Find and simplify a function's difference quotient.
• Understand and use rational exponents.
• Use linear equations to solve problems.
• Solve a rational formula for a variable.
• Use linear equations to solve geometry problems.
• Solve absolute value inequalities.
• Evaluate a function and a composition of functions.
• Find slopes and equations of parallel and perpendicular lines.
• Find the domain of a function.
• Form composite functions.
• Find the inverse of a function.
• Graph parabolas.
• Solve polynomial inequalities.
• Graph logarithmic functions.
• Find the domain of a logarithmic function.
• Use logarithms to solve exponential equations.
• Use the definition of a logarithm to solve logarithmic equations.
• Solve applied problems involving exponential and logarithmic equations.
• Use logistic growth models.
• Complete the square.
• Find function values for 30°(pi/6), 45° (pi/4), and 60° (pi/3).
• Understand the graph of y = sin x, and graph variations of y = sin x.
• Find exact values of composite functions with inverse trigonometric functions.
• Use the fundamental trigonometric identities to verify identities.
• Use sum and difference formulas for cosines and sines.
• Use the double-angle formulas.
• Use identities to solve trigonometric equations.

Contact

Phone: 573.651.2164
math@semo.edu
Johnson Hall 201

Department of Mathematics
One University Plaza, MS 6700
Cape Girardeau, Missouri 63701