# Cover Page. MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, MTE 9

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1 Cover Page MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, Faculty Name: Jodi Clingenpeel Program Head: Amy Williamson Dean s Review: Dean s Signature: Date Reviewed: / /

2 Revised: Fall 2015 MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, COURSE OUTLINE Prerequisites and Course Description: COURSE TITLE CREDITS COURSE DESCRIPTION MTE 1: Operations with Positive Fractions 1 credit Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator. Emphasizes applications and includes U.S. customary units of measure. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. MTE 2: Operations with Decimals and Percents MTE 3: Algebra Basics MTE 4: First Degree Equations and Prerequisite: BSK 1 or qualifying placement score 1 credit Includes operations and problem solving with positive decimals and percents. Emphasizes applications and includes U.S. customary and metric units of measure. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 1 or qualifying placement score 1 credit Includes basic operations with algebraic expressions and solving simple algebraic equations using signed numbers with emphasis on applications. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 2 or qualifying placement score 1 credit Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. Credit for this course can be

3 Hours Inequalities in One Variable MTE 5: Linear Equations, Inequalities & Systems of Linear Equations in Two Variables MTE 6: Exponents, Factoring and Polynomial Equations MTE 7: Rational Expressions and Equations MTE 8: Rational Exponents and Radicals : Functions, Quadratic Equations and Parabolas achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 3 or qualifying placement score 1 credit Includes finding the equation of a line, graphing linear equations and inequalities in two variables, and solving systems of two linear equations. Emphasizes writing and graphing equations using the slope of the line and points on the line, and applications. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 4 or qualifying placement score 1 credit The student will learn to perform operations on exponential expressions and polynomials. Students will also learn techniques to factor polynomials and use these techniques to solve polynomial equations. Emphasis should be on learning all of the different factoring methods, and solving application problems using polynomial equations. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 5 or qualifying placement score 1 credit Includes simplifying rational algebraic expressions, solving rational algebraic equations and solving applications that use rational algebraic equations. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 6 or qualifying placement score 1 credit Includes simplifying radical expressions, using rational exponents, solving radical equations and solving applications using radical equations. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 7 or qualifying placement score 1 credit Includes an introduction to functions in order pair, graph, and equation form. Also introduces quadratic functions, their properties, and their graphs. Credit for this course can be achieved by completing the appropriate MTT course. Credit is not applicable toward graduation. Prerequisite: MTE 8 or qualifying placement score. Semester Credits: 1 Lecture Hours: 1 Lab/Recitation Hours: Select

4 MTT 1: Developmental Mathematics I 1 credit MTT 2: Developmental Mathematics II 2 credits MTT 3: Developmental Mathematics III 3 credits MTT 4: Developmental Mathematics IV 4 credits Covers mathematics topics in a technology-based setting to prepare students for the study of college level mathematics courses and curricula. Designed for the study of one developmental math unit prescribed by the student s placement test results. Credits not applicable towards graduation. Covers mathematics topics in a technology-based setting to prepare students for the study of college level mathematics courses and curricula. Designed for the study of two developmental math units prescribed by the student s placement test results. Credits not applicable towards graduation. Covers mathematics topics in a technology-based setting to prepare students for the study of college level mathematics courses or curricula. Designed for the study of three developmental math units prescribed by the student s placement test results. Credits not applicable towards graduation. Covers mathematics topics in a technology-based setting to prepare students for the study of college level mathematics courses or curricula. Designed for the study of four developmental math units prescribed by the student s placement test results. Credits not applicable towards graduation.

5 MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, UCourse Outcomes At the completion of this course, the student should be able to: Unit Unit Name Unit Description MTE 1 MTE 2 Operations with Positive Fractions Operations with Positive Decimals and Percents The student will solve application problems using proper fractions, improper fractions, and mixed numbers. All student learning outcomes for this unit must be completed without the use of a calculator. Emphasis should be placed on applications throughout the unit. Applications will use U.S. customary units of measurement. All fractions in this unit should be expressed in simplest form, unless otherwise indicated. The student will solve problems using decimals and percents. Emphasis should be placed on applications throughout the unit. Applications will use U.S. customary and metric units of measurement. MTE 3 Algebra basics The student will perform basic operations with algebraic expressions and solve simple algebraic equations using signed numbers. Emphasis should be placed on applications throughout the unit. MTE 4 MTE 5 First Degree Equations and Inequalities in one variable Linear Equations, Inequalities and Systems of Linear equations in Two Variables The student will solve first degree equations and inequalities containing one variable, and use them to solve application problems. Emphasis should be on learning the steps to solving the equations and inequalities, applications and problem solving. The student will learn how to find the equation of a line, graph linear equations and inequalities in two variables and solve a system of two linear equations. Emphasis should be on writing and graphing equations using the slope of the line and points on the line, and applications.

6 MTE 6 MTE 7 MTE 8 Exponents, Factoring and Polynomial Equations Rational Expressions and Equations Rational Exponents and Radicals Functions, Quadratic Equations and Parabolas The student will learn techniques to factor polynomials and use these techniques to solve polynomial equations. Emphasis should be on learning all the different factoring methods, and solving application problems using polynomial equations. The student will simplify rational algebraic expressions, solve rational algebraic equations and use them to solve application problems. The student will simplify radical expressions, and use rational exponents. The student will solve radical equations and use them to solve application problems. In this unit the student will have an introduction to functions in ordered pair, graph, and equation form. The student will engage in a thorough introduction to quadratic functions and their properties as they complete preparation for entering STEM or business-administration college-level mathematics courses

7 P Custom P Custom MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, Required Materials: Headphones, 3-ring Binder MTE 2, 3, 4, 5 also require a Basic Calculator MTE 6, 7, 8, and 9 also require a Scientific Calculator Textbook: Math Essentials by Elaine Martin Gay with MyLabsPlus, 1P Edition, ISBN: OR st Math Essentials by Elaine Martin Gay E-book with MyLabsPlus, 1P Edition, ISBN: The following supplementary materials are available: st

8 MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, Topical Description: Each Unit requires the student to complete 8 Homework Assignments, a Practice Test, Personalized Review, and a Final Exam. A student must complete the homework assignments and review with 90% accuracy. In order to pass the unit a student must pass the final exam with a minimum score of 75%. As a minimum pace, the student must complete 5 assignments and/or Final Exams every two weeks. Below is a list of which sections in the book are covered on each homework assignment. MTE 1 Operations with Positive Fractions (No Calculator) HW 1: Sections 1.1, 1.2 HW 2: Sections 1.3, 1.4 HW 3: Section 1.5 HW 4: Section 2.1 HW 5: Sections 2.2, 2.3 HW 6: Section 2.4 HW 7: Section 2.5 HW 8: Section 2.6 MTE 2 Operations with Positive Decimals and Percents (Basic Calculator) HW 1: Sections 3.1, 3.2, 3.3 HW 2: Sections 3.4, 3.5, 3.6 HW 3: Sections 4.1, 4.2, 4.3, 4.4 HW 4: Sections 5.1, 5.2 HW 5: Sections 5.3, 5.4 HW 6: Sections 5.5, 5.6, 5.7 HW 7: Sections 6.1, 6.2, 6.3, 6.4, 6.5 HW 8: Sections 7.1, 7.2 MTE 3 Algebra Basics (Basic Calculator) HW 1: Sections 8.1, 8.2 HW 2: Section 8.3

9 HW 3: Section 8.4 HW 4: Sections 8.5, 8.6 HW 5: Sections 8.7, 8.8 HW 6: Sections 9.1, 9.2 HW 7: Section 9.3 HW 8: Sections 9.4, 9.5, 9.6 MTE 4 First Degree Equations and Inequalities in One Variable (Basic Calculator) HW 1: Sections 10.1, 10.2 HW 2: Section 10.3 HW 3: Section 10.4 HW 4: Section 10.5 HW 5: Section 10.6 HW 6: Sections 10.7, 10.8 HW 7: Section 10.9 HW 8: Section MTE 5 Linear Equations, Inequalities and Systems of Linear Equations in Two Variables (Basic Calculator) HW 1: Sections 11.1, 11.2 HW 2: Sections 11.3 HW 3: Section 11.4, 11.5 B HW 4: Section 11.6 A, 11.7 HW 5: Section 11.5 A, C, D, E, 11.6 B, C HW 6: Sections 12.1 HW 7: Section 12.2, 12.3 HW 8: Section 12.4 MTE 6 Exponents, Factoring and Polynomial Equations (Scientific Calculator) HW 1: Sections 13.1, 13.2 HW 2: Sections 13.3, 13.4 HW 3: Sections 13.5, 13.6 HW 4: Section 14.1 HW 5: Sections 14.2, 14.3 HW 6: Sections 14.4, 14.5 HW 7: Section 14.6 HW 8: Section 14.7 MTE 7 Rational Expressions and Equations (Scientific Calculator) HW 1: Section 15.1

10 HW 2: Section 15.2 HW 3: Section 15.3 (Like Denominators) HW 4: Section 15.3 (LCD) HW 5: Section 15.4 HW 6: Section 15.5 HW 7: Section 15.6 HW 8: Section 15.7 MTE 8 Rational Exponents and Radicals (Scientific Calculator) HW 1: Section 16.1 HW 2: Section 16.2 HW 3: Section 16.3 HW 4: Section 16.4 HW 5: Section 16.5 HW 6: Section 16.6 (Equations) HW 7: Section 16.6 (Problem Solving) HW 8: Section 16.7 Functions, Quadratic Equations, and Parabolas (Scientific Calculator) HW 1: Section 17.1 HW 2: Section 17.2 (Square Root Property) HW 3: Section 17.2 (Complete the Square) HW 4: Section 17.3 (Quadratic Formula) HW 5: Section 17.3 (Discriminant and Applications) HW 6: Section 17.4 HW 7: Section 17.5 (Graph) HW 8: Section 17.5 (Applications)

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