Download MATH 100 – BEGINNING ALGEBRA STUDENT LEARNING

MATH 100 – BEGINNING ALGEBRA
STUDENT LEARNING OUTCOMES
Students will be able to:
I. Real Numbers
1. define, classify and graph real numbers on a number line
2. determine the relation between two real numbers (>,<,=)
3. determine the opposite and absolute value of a number
4. perform basic operations on real numbers
5. evaluate powers and roots with a calculator
6. use order of operation agreement to simplify expressions
7. evaluate algebraic expressions
8. identify and use basic properties of real numbers
II. Linear Equations and Inequalities
1. use the vocabulary of algebraic expressions
2. simplify algebraic expressions by removing parentheses and combining
like terms
3. use inverse operations to solve linear equations and inequalities
4. solve equations with variables on one and both sides of an equation
5. solve equations by first simplifying one or both sides of an equation
6. determine whether a number is a solution to an equation
7. graph the solution of an inequality on a number line
8. write ratios and solve equations with fractional coefficients (including
proportions)
III. Graphing Linear Equations
1. determine the quadrant in which a point belongs
2. plot and identify points in the Cartesian coordinate system (reading
graphs)
3. determine whether an ordered pair is a solution to a linear equation
4. graph a line by plotting points
5. graph a line by using the x- and y-intercepts
6. graph horizontal and vertical lines
IV. Formulas and Applications of Algebra
1. evaluate formulas
2. solve for a variable in a formula (translate literal equations)
3. translate English phrases into algebraic expressions (words to symbols)
4. write expressions involving percent
5. solve word problems (applications) using algebraic models(five-step
problem solving strategy)
6. evaluate formulas involving basic geometric concepts
7. solve word problems involving basic geometric concepts
V. Exponents and Polynomials
1. simplify expressions with integral exponents
2. convert numbers to and from scientific notation
3. identify the type and degree of polynomials
4. add, subtract, and multiply polynomials
5. divide a polynomial by a monomial
VI. Factoring
1. write the prime factorization of a number
2. determine the greatest common factor of two or more numbers
3. find the greatest common factor and factor out of a polynomial
4. factor the difference of two squares
5. factor polynomials completely
6. factor trinomials using reverse of F.O.I.L.
7. solve quadratic equations by factoring (using the Zero Product Rule)
8. solve word problems (applications) using factoring