SMART Math Modules
A student with mathematics ACT sub score below 19 should enroll in Developmental Studies Mathematics I. The student will then be tested to determine competency deficiencies in developmental mathematics. Based on the assessment test and the student's career goals, a set of required modules from the following list will be determined. In the event that the student's career goals change, the required modules may also be changed.
MODULE ONE: INTEGERS
Topics include exponential notation and order of operations, integers and the number line, addition, subtraction, multiplication and division of integers, order of operations, introduction to algebraic expressions, like terms, and solving one-step equations.
| Section 1.9 | Section 2.5 |
| Section 2.1 | Section 2.6 |
| Section 2.2 and 2.3 | Section 2.7 |
| Section 2.4 | Section 2.8 |
MODULE TWO: FRACTIONS
Topics include fraction notation, multiplication, division, addition, and subtraction of fractions and mixed numerals and solving equations with applications.
| Section 3.1 | Section 3.6 | Section 4.5 |
| Section 3.2 | Section 3.7 | Section 4.6 |
| Section 3.3 | Section 3.8 | Section 4.7 |
| Section 3.4 | Section 4.2 | |
| Section 3.5 | Section 4.3 |
MODULE THREE: DECIMALS
Topics include decimal notation, addition, subtraction, multiplication and division of decimals, solving equations, American and metric units of measure, weight and mass, capacity, time and temperature, ratio and proportion, percent notation, graphs.
| Section 5.1 | Section 6.1 | Section 8.1 - 8.4 |
| Section 5.2 | Section 6.2 | Appendix A |
| Section 5.3 | Section 6.3 | Appendix B |
| Section 5.4 | Section 7.1 | Appendix C |
| Section 5.7 | Sections 7.2, 7.3, 7.4 |
MODULE FOUR: REAL NUMBERS
Topics include introduction to algebra, the real numbers, addition, subtraction, multiplication and division of real numbers, properties of real numbers, and order of operations.
| Section 9.1 | Section 9.4 | Section 9.7 |
| Section 9.2 | Section 9.5 | Section 9.8 |
| Section 9.3 | Section 9.6 | Fractions |
MODULE FIVE: LINEAR EQUATIONS AND INEQUALITIES
Topics include solving linear equations by the addition and multiplication principle, formulas, solving and inequalities, ratio/proportion with applications.
| Section 10.1 | Section 10.4 | Section 14.7 |
| Section 10.2 | Section 10.6 | |
| Section 10.3 | Section 10.7 |
MODULE SIX: GRAPHING LINEAR EQUATIONS AND INEQUALITIES
Topics include graphs of linear equations in two variables, intercepts, slope, equations of lines (one point with slope) and graphing using slope and y-intercept.
| Section 11.1 | Section 11.4 |
| Section 11.2 | Section 11.5 |
| Section 11.3 |
MODULE SEVEN: POLYNOMIALS
Topics include integers as exponents, scientific notation, and introduction to polynomials, addition, subtraction and multiplication of polynomials, special products, operations with polynomials in several variables, division of polynomials by monomials.
| Section 12.1 | Section 12.4 | |
| Section 12.2 | Section 12.6 | Section 12.8 |
| Section 12.3 | Section 12.7 |
MODULE EIGHT: FACTORING
Topics include factoring trinomials, trinomial squares and difference of squares, general strategies for factoring, solving quadratic equations by factoring.
| Section 13.1 | Section 13.4 | Section 13.7 |
| Section 13.2 | Section 13.5 | |
| Section 13.3 | Section 13.6 |
MODULE NINE: RATIONAL EXPRESSIONS
Topics include multiplying, dividing, adding, and subtracting rational expressions, simplifying rational expressions, solving rational equations, applications.
| Section 14.1 | Section 14.4, 14.5 |
| Section 14.2 | Section 14.6 |
| Section 14.3 | Section 14.7 |
MODULE TEN: MORE GRAPHING AND SYSTEMS
Topics include parallel and perpendicular lines, equations of lines using point-slope, graphing inequalities in two variables, solving systems of equations in two variables using graphing, substitution and elimination methods, applications, and graphing systems of inequalities in two variables.
| Section 11.4 | Section 15.1 | Section 15.4 |
| Section 11.6 | Section 15.2 | Appendix G |
| Section 11.7 | Section 15.3 | Appendix L |
MODULE ELEVEN: RADICAL EXPRESSIONS
Topics include radical expressions, multiplying and simplifying radical expressions, quotients involving radical expressions (only 1 term denominators), addition and subtraction, radical equations, applications with right triangles and the distance formula.
| Section 16.1 | Section 16.4 | Appendix I |
| Section 16.2 | Section 16.5 | |
| Section 16.3 | Section 16.6 |
MODULE TWELVE: QUADRATIC EQUATIONS
Topics include the complex numbers, solving quadratic equations by square root method, the quadratic formula, and graphs of quadratic equations, functions, domain and range.
| Section 17.1 | Section 17.6 | Section 18.2 |
| Section 17.2 | Section 17.7 | |
| Section 17.3 | Section 18.1 |
Modules One, Two, and Three replace the former DSPM 0700 Basic Mathematic.
Modules Four, Five, Six, and Seven replace the former DSPM 0800 Elementary Algebra.
Modules Eight, Nine, Ten, Eleven, and Twelve replace the former DSPM 0850 Intermediate Algebra.
DSPM 0891 Developmental Studies Mathematics I 3 CREDIT HOURS
A student needing to master competencies included in any Module 1 - 12 will register for DSPM 0891. The student is expected to complete a minimum of four modules in order to earn a passing grade in this course except if the student needs less than four modules.
DSPM 0892 Developmental Studies Mathematics II 3 CREDIT HOURS
A continuation of DSPM 0891. Prerequisite: Successful completion of DSPM 0891.
DSPM 0893 Developmental Studies Mathematics III 3 CREDIT HOURS
A continuation of DSPM 0892. Prerequisite: Successful completion of DSPM 0892.
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