MATD-0370 Elementary Algebra


Fattaneh Hashemi Talkhoncheh

Credit Fall 2024


Section(s)

MATD-0370-007 (91295)
LEC TuTh 11:35am - 1:20pm RRC RRC1 1219.00

MATD-0370-019 (11569)
LEC MW 7:05pm - 8:50pm RRC RRC1 1220.00

Course Requirements

Suggested Testing Scheme

Test 1: Chapter 1, 2.1 - 2.6

Test 2: Chapter 3, 7.1 - 7.4

Test 3: 4.1 - 4.8

Test 4: 6.1 - 6.3, 6.6, 6.7, 8.1 - 8.2

Test 5 (Comprehensive) Ch 1 - 5

Attendance Policy : Attendance is required in this course. Being more than 10 minutes late will count as an
absence. Cutting out early without prior notification will count as an absence. Leaving more than 10
minutes early, even with prior notification, will count as an absence. Students who miss 4 or more classes
may be withdrawn without warning. TSI-mandated students who have excessive absences will be
withdrawn. Students who are withdrawn from NCBM 0270 because of excessive absences will also be
withdrawn from MATD 0370.


Readings

Required Text/Materials

Text: Elementary Algebra, Concepts, and Applications, 10th Edition, Bittinger & Ellenbogen; Pearson.

         (ISBN 9780134441375)

First Day Access

To enhance your learning experience and provide affordable access to the right course materials, this course is part of an inclusive access model called First Day. You can easily access the required materials for this course through Blackboard, at a discounted price, and benefit from single sign-on access.

Austin Community College includes the discounted price as a course fee in your registration fees for this course.

It is NOT recommended that you Opt Out, as these materials are required to complete the course. You can choose to Opt Out on the first day of class, but you will be responsible for purchasing your course materials at the full retail price, and access to your materials may be suspended.

MyLab Math Access: MyLab Math is not required for your section.
Supplemental Materials: Rectangular coordinate graphing paper, scientific calculator

Chapters and Sections

Chapter 1: 1.1 - 1.8

Chapter 2: 2.1 - 2.6

Chapter 3: 3.1 - 3.7

Chapter 4: 4.1 - 4.8

Chapter 5: 5.1 - 5.7

Chapter 6: 6.1 - 6.4, 6.6, 6.7

Chapter 7: 7.1 - 7.4

Chapter 8: 8.1, 8.2


Course Subjects

NOTE:  Schedule changes may occur during the semester.

Week 1  

Day 1: Introduction to Algebra

Day 2: Commutative Law, Associative Law, Distributive Law of Algebra Operations with Fractions,

Week 2 

Day 1: Sets of Numbers, Addition & Subtraction of Integers

Day 2: Multiplication & Division of Integers, Order of Operations, Addition & Multiplication Principles to Solve Equations     

Week 3 

Day 1:  Mid-unit quiz (Ch 1), Applying the Principles to Solve Equations       

Day 2: Solving Formulas for a variable, Percent and Applications

Week 4 

Day 1: Applications of Linear Equations, Solving Linear Inequalities

Day 2: Test 1 (Ch 1 - 2)

Week 5

Day 1: Reading and Interpreting Graphs, Graphing Linear Equations by plotting points

Day 2: Intercepts, Rates

Week 6

Day 1: Slope of a Line, Slope-intercept Formula

Day 2: Point-Slope Formula,  Solving Systems of Equations by Graphing

Week 7

Day 1: Mid-unit quiz (Ch 3), Solving Systems of Equations by Substitution  

Day 2:  Solving Systems of Equations by Substitution and Elimination

Week 8

Day 1: Applications of Systems of Equations, Review for Test 2 

Day 2: Test 2

Week 9

Day 1: Rules of Exponents, Negative Exponents 

Day 2:  Polynomials, Addition & Subtraction of Polynomials

Week 10

Day 1: Multiplication of Polynomials, Special Products      

Day 2: Dividing Polynomials by Monomials, Review for Test 3

Week 11

Day 1: Test 3        

Day 2: Introduction to Factoring, Factoring Trinomials with a leading coefficient of 1.

Week 12

Day 1:5.3 Factoring trinomials where the leading coefficient is not 1    

Day 2:  Factoring Perfect Square Trinomials and Difference of Squares

Week 13

Day 1: Review of different factoring methods  

Day 2: Solving Quadratic Equations by Factoring, Applications of quadratic equations

Week 14

Day 1: Review for Comprehensive Exam         

Day 2: Comprehensive Exam ( Ch 1 - 5, 7)

Week 15

Day 1: Simplifying Rational Expressions, Multiplications and Division of Rational Expressions 

Day 2: Adding/Subtracting Rational Expressions with common denominators, Solving Rational Equations, Proportions

Week 16

Day 1: Square Roots, Simplifying and Multiplying Radical Expressions, Review for Test 4    

Day 2: Test 4

 


Student Learning Outcomes/Learning Objectives

Common Course Objectives                                                                                                                                                                

The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.                                                                                                                                                                    

Overall objectives:        

A. Students will feel a sense of accomplishment in their increasing ability to use mathematics to solve problems of interest to them or useful in their chosen field. Students will attain more positive attitudes based on increasing confidence in their abilities to learn mathematics.

B. Students will learn to understand material using standard mathematical terminology and notation when presented either verbally or in writing.

C. Students will improve their skills in describing what they are doing as the solve problems using standard mathematical terminology and notation.

  1. Description and classification of whole numbers, integers, and rational numbers using sets and the

    operations among them.

  • identify and use properties of real numbers
  • simplify expressions involving real numbers
  • evaluate numerical expressions with integral exponents
  • simplify square roots of perfect square whole numbers

2. Polynomials.

  1. distinguish between expressions that are polynomials and expressions that are not
  2. classify polynomials in one variable by degree and number of terms
  3. simplify polynomials
  4. add, subtract, multiply, and divided polynomials
  5. factor polynomials (including factoring out the GCF, factoring by grouping, factoring trinomials

in which the leading coefficient is one, factoring trinomials in which the leading coefficient is

not one, factoring the difference of two squares, factoring the sum or difference of two cubes)

  1. understand and use the exponent laws involving integer exponents
  2. convert numbers into and out of scientific notation and perform multiplication and division

      3. Solve linear equations in one variable involving integral, decimal, and fractional coefficients

     4. Solve and graph linear inequalities

 

5. Applications problems.

  1. write and evaluate linear expressions from verbal expressions
  2. solve application problems which lead to one of the following types of equations: linear equations in one variable, systems of two linear equations in two variables, quadratic equations
  3. solve literal equations for a specified  variable using only addition and multiplication principals
  4. use given data to estimate values and to evaluate geometric and other formulas
  5. solve problems involving the Pythagorean Theorem

 

6. Linear equations in two variables

  1. identify the relationship between the solution of a linear equation in two variables and its graph on the Cartesian plane
  2. understand and use the concepts of slope and intercept
  3. determine slope when two data points are given
  4. graph a line given either two points on the line or one point on the line and the slope of the line
  5. write an equation of a line given one point on the line and the slope of the line, or two points
  6. identify lines given in standard, point-slope, or slope-intercept forms and sketch their graphs
  7. solve systems of linear equations

 

7. Quadratic equations.

  1. find solutions to quadratic equations using the technique of factoring and using the principle of square roots
  2. recognize a need to use the quadratic formula to solve quadratic equations

 

8. Description and classification or irrational numbers.

  1. simplify perfect square radical expressions
  2. use decimal approximations in applications that involve radical expressions

 

9. Geometry

  1. Understand the difference between perimeter and area and be able to use formulas for these

 appropriately.

  1. Solve application problems involving angles and polygons

 

10. Rational expressions

      a.   determine for which values(s) of the variable a rational expression is undefined

      b.   simplify rational expressions containing monomials, binomials, and trinomials

      c.   multiply and divide rational expressions containing monomials, binomials, and trinomials

      d.   add and subtract rational expressions with like denominators


Office Hours

M W 1:40 PM - 2:40 PM Room 8112

NOTE

M W 5:30 PM - 6:00 PM Room 1220

NOTE

T Th 9:10 PM - 9:40 PM Room 8112

NOTE

Published: 08/21/2024 15:25:52