MDE 10 Bundle 1-5: Operations with Fractions, Decimals, and Percents and Algebra Basics

Credit Hours: 3 Lecture Hours: 3 Lab Hours: 0 Total Contact Hours: 3

Prerequisite(s):

Qualifying placement score indicating the need for MTE units 1 – 5.

Description:

Covers all mathematics topics in MTE units 1 – 5 in a lecture format. Includes operations and problem-solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator; operations and problem-solving with positive decimals and percents; basic operations with algebraic expressions and solving simple algebraic equations using signed numbers. 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. Credits not applicable toward graduation. (See unit descriptions below.)

MDE 60 Bundle MTE 6-9: Intermediate Algebra

Credit Hours: 3 Lecture Hours: 3 Lab Hours: 0 Total Contact Hours: 3

Prerequisite(s):

Qualifying placement score indicating the need for MTE units 1 – 5.

Description:

Techniques of factoring polynomials and using these techniques to solve polynomial equations. Simplifying rational algebraic expressions, solving rational algebraic equations and solving applications that use rational algebraic equations. Simplifying radical expressions, using rational exponents, solving radical equations and solving applications using radical equations. Introduction to functions in ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs.

Unit 1 (MTE 1): Operations with Fractions

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 is not applicable toward graduation. 1 credit.

• Operations with Fractions
• Averages (Means, Medians, and Modes)

Unit 2 (MTE 2): Operations with Decimals and Percents

Includes operations and problem solving with positive decimals and percents. Emphasizes applications and includes U. S. customary and metric units of measure. Credit is not applicable toward graduation. 1 credit.

• Operations with Decimals
• Conversions between Fractions and Decimals
• Percentages
• Ratios and Proportions
• Percent Word Problems
• Number Word Problems

Unit 3 (MTE 3): Algebra Basics

Includes basic operations with algebraic expressions and solving simple algebraic equations using signed numbers with emphasis on applications. Credit is not applicable toward graduation. 1 credit.

• Operations with Integers
• Multiples and factors of integers
• Exponents, Square Roots, Scientific Notation
• Substituting Values into Algebraic Expressions
• Setting Up Equations for Given Situations

Unit 4 (MTE 4): First Degree Equations and Inequalities in One Variable

Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. Credit is not applicable toward graduation. 1 credit.

• Setting Up Equations for Given Situations
• Linear Equations in One Variable

Unit 5 (MTE 5): Linear Equations, Inequalities, and Systems of Linear Equations

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 is not applicable toward graduation. 1 credit.

• Linear Equations in Two Variables

Unit 6 (MTE 6): Exponents, Factoring, and Polynomial Equations

Includes techniques of factoring polynomials and using these techniques to solve polynomial equations. Emphasizes applications using polynomial equations solved by factoring. Credit is not applicable toward graduation. 1 credit.

• Basic Operations with Polynomials
• Factoring Polynomials
• The AC Method of Factoring

Unit 7 (MTE 7): Rational Expressions and Equations

Includes simplifying rational algebraic expressions, solving rational algebraic equations and solving applications that use rational algebraic equations. Credit is not applicable toward graduation. 1 credit.

• Simplifying Rational Expressions
• Adding and Subtracting Rational Expressions
• Multiplying and Dividing Rational Expressions

Unit 8 (MTE 8): Rational Exponents and Radicals

Includes simplifying radical expressions, using rational exponents, solving radical equations and solving applications using radical equations. Credit is not applicable toward graduation. 1 credit.

• Exponents and Radicals
• Complex Numbers

Unit 9 (MTE 9): Functions, Quadratic Equations, and Parabolas

Includes an introduction to functions in ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs. Credit is not applicable toward graduation. 1 credit.

• Functions

Precalculus

• Matrices (basic operations, equations, and determinants)

Geometry

• Geometry Review #1
• Geometry Review #2
• Geometry Review #3
• Geometry Review #4
• Geometry Review #5

Trigonometry

• Trigonometric Functions and Identities
• Right-triangle Trigonometry
• Trigonometric Equations and Inequalities
• Graphs of Trigonometric Functions
• Special Angles (multiples of 30 and 45 degrees)

Math VPT Preparation Materials

• Free VTP Prep Course
• VPT Math Practice Questions
• Basic Math Practice Questions
• VPT Calculus Practice Questions, Part 1
• VPT Calculus Practice Questions, Part 2