Course Description:
This is a course is a combination of remedial arithmetic skills and elementary
algebra. It
includes the arithmetic of integers, fractions, decimals, and percent. In
addition, the
course covers topics such as algebraic representation , operations with
polynomials ,
solving linear equations, solving systems of two linear equations in two
variables ,
exp onents and radicals , factoring, graphing linear equations, and the
Pythagorean
theorem. This is an accelerated course for students who have scored relatively
high on
the placement examination in pre-algebra.
Pre/Co-Requisites:
Students who score between 30 and 36 on the COMPASS Pre-algebra exam and less
than
38 on the COMPASS algebra exam are eligible to take MAT 012. Students who have
not
yet taken and/or obtained a score of 30 or more on the COMPASS Pre-algebra exam
will
be required to do so in MAT012. Students that took the old paper based CUNY exam
(predecessor of the COMPASS) and obtained less than a combined score of 25, will
be
required to take both the Pre-Algebra and the Algebra COMPASS exam.
Student Learning Outcomes:
The students should be able to:
• write, round, add, subtract, multiply, and divide whole numbers.
• estimate the sum, difference, product and quotient of whole numbers.
• complete problems involving exponents, simple averages, and order of
operations.
• solve applied problems involving whole numbers, fractions, decimals,
percentages, ratios, proportions, basic algebra, basic statistics, bar graphs
and
scientific notation.
• form, reduce , add, subtract, multiply, divide and compare fractions .
• find prime factorizations of whole numbers.
• convert between mixed numbers and improper fractions.
• write, round, add, subtract, multiply, divide and compare decimals.
• convert between decimals and fractions.
• solve applied problems involving decimals.
• translate between word statements and simple algebraic statements.
• evaluate simple algebraic expressions and solve simple linear equations .
• solve applied problems involving simple linear equations.
• write ratios and rates as fractions.
• find unit rates and best buys.
• set up and solve proportion problems.
• convert between decimals, percent and fractions.
• set up and solve percent problems, including application problems involving
percent.
• add, subtract, multiply, divide and compare signed numbers.
• find the absolute value of a real number .
• solve applied problems involving signed numbers.
• find the mean, median, mode, and range of a set of numbers.
• read and interpret tables, line graphs, bat graphs and pie charts .
• convert numbers between standard form and scientific notation.
• add, subtract, multiply, and divide numbers in scientific notation.
• Evaluate algebraic expressions via substitution.
• add, subtract, multiply, divide and simplify algebraic expressions.
• use algebraic expressions to solve applied problems.
• solve linear and literal equations.
• solve applied problems using linear equations in one variable.
• graph the solution set of a linear inequality.
• plot points in the x-y plane.
• graph linear equations.
• define a linear equation in x and y using given information.
• find the slope of a line from given information.
• graph linear inequalities in 2 variables.
• solve systems of linear equations in 2 variables using graphical , substitution
and
elimination methods.
• solve applied problems involving systems of equations.
• multiply, divide and simplify expressions involving exponents.
• add, subtract, multiply, divide and evaluate polynomials.
• convert numbers between standard form and scientific notation.
• add, subtract, multiply, and divide numbers in scientific notation.
• factor polynomials using the greatest common factor and grouping.
• factor trinomials and difference of squares.
• solve quadratic equations in one variable by factoring.
• solve applied problems involving factoring.
• simplify, add, subtract, multiply and divide rational expressions.
• simplify complex fractions.
• solve rational equations.
• simplify, add, subtract, multiply and divide radical expressions.
• rationalize the denominator of a radical expression.
Required Text and Readings:
Introductory Algebra with Arithmetic Review, Custom Edition, by Geoffrey
Akst and
Sadie Bragg, Pearson Custom Publishing, 2005.
