BASIC MATHEMATICS

Math 181A-1 Fall, 1998

Tuesday & Thursday 10:30 - 12:55

Room E106 1-5 Units

INSTRUCTORS: Jane Ellis & Linda Hoffmann

PHONE NUMBER: 541-4660, Extension 247

REQUIRED TEXT: ESSENTIAL ARITHMETIC by Johnston, Willis and Lazaris, Seventh Edition.

EMAIL ADDRESS: ELLIS@ltcc.edu

COURSE DESCRIPTION: The purpose of this course is to enable the student to become proficient in the manipulation and application of basic arithmetic skills. This is a variable unit class with a maximum of 5 units available. Each module is one unit and covers a different topic:

Math 181A Whole Numbers (Chapters 1 & 2)

Math 181B Fractions (Chapter 3)

Math 181C Decimals (Chapter 4)

Math 181D Percent and Ratio (Chapters 6 & 8)

Math 181E Introduction to Algebra (Chapters 11 and parts of 12 & 13)

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It is strongly recommended that you complete all five modules before enrolling in either

Math 152A, Basic Algebra (Part I) or Bus 112, Business Math.

In order to receive credit for a Module, a student must register for it at the office of Admissions and Records. This must be done by Monday, November 23. If you register for a module and then are unable to complete it, you must drop the module by Monday, Nov. 30. If you do not drop the module, the instructor is required to give you a grade.

Students may either begin each class with a lecture and the rest of the class time will be for students to work individually or the students may work at their own pace requesting assistance as needed. Lectures will be presented following the time line listed at the end of this syllabus. Students are encouraged to read in advance the material covered in each lecture.

METHOD OF STUDENT EVALUATION:

Homework must be completed and turned in before an exam is taken. The required homework is all of the work for:

1)The Set I Exercises for any section covered in the particular chapter

2) Set I Exercises for all of the Review Sections

3) The Diagnostic Test.

If a homework set is turned in incomplete, 10% will be deducted from the grade for each section that is not complete. This means that if three sections are not completed, then 30% will be deducted from the grade for that chapter. ANY WORK THAT IS DONE MUST BE INCLUDED AS PART OF THE HOMEWORK WHICH IS TURNED IN.

Examinations are given at the end of each chapter. If the student does not receive a score of at least 70%, he or she will be asked to take another test after corrective action. If a student does need to take a second test, the highest score possible for that chapter is 70%. If there is one chapter in a module, the grade on the chapter test will be the grade in the module. If there are two chapters in a module, the average of the two chapter tests will be the grade for the module. EACH MODULE RECEIVES A SEPARATE GRADE. Grades are based on the following scale:

A 90% - 100%

B 80 - 89%

C 70 - 79%

D 60 - 69%

A student must obtain 70% or higher before he or she may proceed to the next module.

OFFICE HOURS: Room A204 page 3

Monday, Wednesday & Friday 12:30 - 1:30

TUTORING: Individual math tutoring is available in the Mezzanine area just outside of the library. If you are having trouble finding a math tutor, check with the personnel in room B107. Tutoring hours are posted outside of B107 and in your classroom.

CALCULATOR: A calculator may be used in Module D.

LEARNING DISABLED STUDENTS: If you are in the Learning Disabled Program, please speak with one of the instructors about your special needs. It is also important that one of us speak with anyone for whom math has always been extremely difficult.

HOW TO SUCCEED IN A MATH CLASS:

1) Come to every class meeting.

2) Arrive early, get yourself settled and be ready when class starts. Sit where you won't be distracted.

3) Read each section before it is discussed in class.

4) Do all of the homework.

5) Do some math every day.

6) Start preparing for tests at least a week in advance.

7) Take advantage of tutors and office hours, extra help can make a big difference.

8) Do some review every time that you study math.

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TIMELINE

DATE SECTION TOPIC

Sept. 22 Orientation & Placement Test

Beginning of Module A (Chapters 1 & 2)

1.1 Basic Definitions

1.2A Place Values

1.2B Reading & Writing Whole Numbers

1.2C Rounding Off Whole Numbers

1.3 Adding Two Whole Numbers

1.4 Adding More Than Two Whole Numbers

Sept. 24 1.5A Multiplying Two Whole Numbers

1.5B Multiplying Numbers with More than One Digit

1.5C Multiplying with Zeros

1.6 Multiplying More than Two Whole Numbers

An Introduction to the Order of Operations

1.7A Definitions, Symbols and Terminology for Powers

1.7B Powers of Ten

REVIEW of SECTIONS 1.1 - 1.7

Sept. 29 1.8 Subtracting Whole Numbers

1.9A Basic Definitions for Division

1.9B Dividing by a One Digit Number

1.9C Dividing by a Number with More than One Digit

1.10A Introduction to Square Roots

1.10B Higher Roots

1.10C OMIT

Oct. 1 1.11 The Order of Operations

1.12A Prime & Composite Numbers & Prime Factorization

1.12B Finding the Greatest Common Factor (GCF)

REVIEW of SECTIONS 1.8 - 1.12

DIAGNOSTIC TEST FOR CHAPTER 1

2.1 Strategies for Solving Applied Problems

Oct. 6 2.2 Estimating Answers

2.3 Using Formulas: An Introduction

2.4A Denominate Numbers

2.4B Lengths and Perimeters

2.4C Areas of Rectangles, Squares and Triangles

2.5A&B OMIT

REVIEW of SECTIONS 2.1 - 2.4 (omit #17 & 20)

DIAGNOSTIC TEST for CHAPTER 2 (omit #4 & 10)

Oct. 8 Beginning of Module B (Chapter 3)

3.1 Basic Definitions for Fractions

3.2 Multiplying Fractions: An Introduction

3.3A Equivalent Fractions & Building Fractions

3.3B Reducing Fractions to Lowest Terms

3.4 Finding the Least Common Multiple (LCM)

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Oct. 13 3.5A Determining if Fractions are Equivalent

3.5B Comparing Fractions

REVIEW of SECTIONS 3.1 - 3.5

3.6A Adding Fractions That Have the Same Denominator

3.6B Subtracting Fractions That Have the Same Denominator

3.7A Adding Fractions That Have Different Denominator

3.7B Subtracting Fractions That Have Different Denominator

3.8 Shortcuts for Multiplying Fraction

Oct. 15 3.9 Dividing Fractions

REVIEW of SECTIONS 3.6 - 3.9

3.10A Writing a Mixed Number as n Improper Fraction

3.10B Writing an Improper Fraction as a Mixed Number

3.11A Adding Mixed Numbers

3.11B Subtracting Mixed Numbers

3.12 Multiplying and Dividing Mixed Numbers

Oct. 20 3.13 Complex Fractions

3.14 Powers and Square Roots of Fractions and Mixed Numbers

3.15 Combined Operations

REVIEW of SECTIONS 3.10 - 3.15

DIAGNOSTIC TEST for CHAPTER 3

Beginning of Module C (Chapter 4)

4.1 Basic Definitions for Decimals

Oct. 22 4.2A Reading and Writing Decimal Numbers

4.2B Comparing Decimals

4.3 Rounding Off Decimal Numbers

4.4 Adding Decimals

4.5 Subtracting Decimals

4.6A Multiplication with Decimal Numbers

4.6B Multiplication with Decimal Numbers and Powers of Ten

4.7A Dividing a Decimal by a Natural Number

Oct. 27 4.7B Decimal Divisors

4.7C Dividing a Decimal by a Power of Ten

4.8 Powers and Square Roots of Decimals

REVIEW of SECTIONS 4.1 - 4.8

4.9 Converting a Common Fraction to a Decimal

4.10A Converting a Simple Decimal to a Common Fraction

4.10B Converting a Complex Decimal to a Common Fraction

4.11 Operations Involving Decimals and Common Fractions

Oct. 29 4.12 Combined Operations with Decimals

4.13 Comparing Numbers

4.14 OMIT

REVIEW of SECTIONS 4.9 - 4.14 (omit #35)

DIAGNOSTIC TEST for CHAPTER 4 (omit #25)

Beginning of Module D (Chapters 6 & 8)

BRING A CALCULATOR

7.1 Using a Calculator (no homework assigned for this section)

6.1 Basic Definitions for Percent

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Nov. 3 6.2 The Percent Proportion

6.3 Converting a Common Fraction to a Percent

6.4 Converting a decimal to a Percent

6.5 Converting a Percent to a Decimal

REVIEW of SECTIONS 6.1 - 6.5

Nov. 5 6.6A More about the Percent Proportion

6.6B Solving Percent Problems

6.7 Finding a Percent of a Number

6.8A Solving General Applied Problems with Percent

6.8B Percent of Increase or Decrease

Nov. 10 6.9 Reading and Interpreting Circle Graphs

REVIEW of SECTIONS 6.6 - 6.9

DIAGNOSTIC TEST for CHAPTER 6

8.1 Wages and Salary

8.2A Simple Interest

8.2C Monthly Payments: The Add-on Interest Method

8.2D OMIT

Nov. 12 8.2B Compound Interest

8.3 Checking and Savings Accounts

8.4 Budgets

REVIEW of SECTIONS 8.1 - 8.4

DIAGNOSTIC TEST for CHAPTER 8

Nov. 17 Beginning of Module E (Chapter 11 and parts of Chapters 12 & 13)

11.1 Negative Numbers & Absolute Value

11.2 Adding Integers

11.3 Multiplying Integers

Nov. 19 11.4 Dividing Integers

11.5 Subtracting Integers

11.6 Finding Powers of Integers

11.7 Combine Operations

NOVEMBER 23 LAST DAY TO ADD A MODULE

Nov. 24 11.8A Operations with Signed Fractions

11.8B Operations with Signed Decimals

REVIEW of SECTIONS 11.1 - 11.8

DIAGNOSTIC TEST for CHAPTER 11

12.1 Basic Definitions for Algebra

Nov. 26 THANKSGIVING HOLIDAY

NOVEMBER 30 LAST DAY TO DROP A MODULE

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NOVEMBER 30 LAST DAY TO DROP A MODULE

Dec. 1 12.2A Removing Grouping Symbols

12.2B Combining Like Terms

12.2C Simplifying Algebraic Expressions: An Introduction

13.1 Equations and Their Solutions

Dec. 3 13.2 Solving Equations Using Addition and Subtraction

13.3A Solving Equations Using Division and Multiplication

13.3B Solving Equations with Two Steps

13.3C Solving Other First Degree Equations

Do not do the Review Exercises or the Diagnostic Test for Chapters 12 & 13.

Dec. 8 11:00 - 1:00 This time is used for taking Chapter Tests