Topical Outline with Specific Course Objectives
- Focus on Math Study Skills
- Develop awareness of preferred learning styles and learn to make adaptations for other instructional styles.
- Develop mathematical study skills that can be utilized in college-level math courses.
- Utilize support systems (faculty office hours, labs, SI, advising, etc.) to maximize learning opportunities.
- Utilize critical thinking skills to solve problems and determine reasonableness of solutions.
- Arithmetic
- Classify sets of numbers
- Identify and apply the properties of real numbers
- Write the prime factorization of a number
- Perform operations with integers (with applications)
- Perform operations with fractions (with applications)
- Perform operations with decimals (with applications)
- Perform operations on whole number (with applications, including area and perimeter)
- Convert among percents, fractions, and decimals
- Identify place value and round decimals
- Identify place value and round whole numbers
- Simplify fractions
- Perform order of operations including absolute values
- Evaluate exponents with whole numbers
- Evaluate exponents with integers
- Compare magnitude of real numbers
- Convert between scientific notation and standard notation
- Expressions and Equations
- Solve percent equations with applications
- Evaluate absolute value expressions
- Solve application problems involving geometry (circumference of circle, perimeter of polygons, area of triangles, parallelograms, circles)
- Solve formulas with given values
- Set up and solve ratios and proportions with simple algebraic expressions
- Covert units of measurements with same measurement system
- Define variables and write an expression to represent a quantity in a problem
- Evaluate algebraic expressions
- Simplify algebraic expressions involving one variable
- Solve linear equations involving the addition and multiplication property of equalities
- Solve multi-step problems involving fractions and percentages (include situations such as simple interest, tax, markups/markdowns, gratuities and commissions, fees, percent increase and decrease, percent error, expressing rent as a percentage of take home pay)
- Recognize proportional relationships and solve problems involving rates and ratios
- Apply the order of operations to evaluate algebraic expressions, including those with parentheses and exponents
- Solve application problems involving geometry (Pythagorean Theorem)
- Solve application problems involving geometry (perimeter and area with algebraic expressions)
- Convert units of measurements across measurement systems
- Solve literal equations for a given variable with applications (geometry, motion [d=rt], simple interest [i=prt]
- Solve linear equations in one variable using manipulations guided by the rules of arithmetic and the properties of equality
- Simplify an expression with integer exponents
- Simplify radical expressions – square roots only
- Graphing Linear Equations and Inequalities
- Graph an inequality on a number line
- Identify the slope of a line (from slope formula, graph, and equation)
- Solve linear inequalities in one variable and graph the solution set on a number line
- Graph linear equations using table of values, intercepts, slope intercept form
- Identify the intercepts of a linear equation
- Polynomials and Rational Expressions
- Add, subtract, multiply, and divide polynomials. Division by monomials only
- Add, subtract, and multiply square roots of monomials
- Factor polynomial expressions (GCF, grouping, trinomials, difference of squares)
- Solve quadratic equations in one variable by factoring
- Rationalize the denominator (monomials only)
- Simplify, multiply, and divide rational expressions
- Add and subtract rational expressions with monomial denominators
Department Policies
- Comprehensive common final
- Four function basic calculator allowed