181 syllabus

BASIC MATHEMATICS

Math 181A-3 Spring, 2001

Monday & Wednesday 6:00 - 8:25

Room: HSCS 2 & 3 1-5 Units

INSTRUCTORS: Jane Ellis & Andrea Olsen

Phone Number: 541-4660, Extension 247

E-MAIL: ELLIS@ltcc.edu

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

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:

MODULE 181A Whole Numbers (Chapters 1 & 2)

MODULE 181B Fractions (Chapter 3)

MODULE 181C Decimals (Chapter 4)

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

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

OUR COMMITMENT TO THIS CLASS:

· We will check the earlier part of our day at the door when we enter, and give this class 100% of our attention while we are meeting.

· We will come to class well prepared.

· We will be here on time.

· We will listen and seek to understand what is being said.

· We will not shortchange the students in this class by setting low standards.

· We will put 100% of our effort into being the best possible teachers for the students in this class.

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

Math 152A, Basic Algebra or Bus 112, Business Math.

Students may use the time in class in the following ways:

A) Begin with a lecture and the rest of the class time will be to work individually getting assistance from the teachers as needed. Lectures will be presented following the time line beginning on page 4 of this syllabus. Students are encouraged to read in advance the material that is covered in each lecture. These students will meet in HSCS 3 with Jane.

B) You may work at your own pace requesting assistance as needed. These students will meet in HSCS 2 with Andrea.

You may move between the two groups as needed.

METHOD OF STUDENT EVALUATION:

Homework must be completed and turned in before an exam is taken.

The required homework is:

1) The odd problems from the Set I exercises for any section covered in the particular chapter.

2) All of the Set I exercises for each of the Review Sections (some chapters have more than one review).

3) The entire Diagnostic Test at the end of the chapter.

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.

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%.

q If there is one chapter in a module (Modules B & C), the grade on the chapter test will be the grade in the module.

q If there are two chapters in a module (Modules A, D & E), the average of the two chapter tests will be the grade for the module.

q 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.

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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, June 4. If you register for a module and then are unable to complete it, you must drop the module by

Monday, June 11. If you do not drop the module, the instructor is required to give you a grade.

JANE’S OFFICE HOURS:

Monday.............................................. 3:30 – 4:30 (Room: A204)

Wednesday......................................... 3:30 – 4:30 (Room: GMC)

Friday................................................. 10:00 - 11:00 (Room: A204)

TUTORING: Tutoring is available in the Gateway Math Center (GMC) in Room G4 in the portable buildings near the PE classrooms.

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 we 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 you study math.

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TIMELINE

DATE SECTION TOPIC

April 2 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

April 4 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

April 9 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

April 11 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

April 16 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)

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April 18 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)

April 23 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 with the Same Denominator

3.7A Adding Fractions with Different Denominator

3.7B Subtracting Fractions with Different Denominator

3.8 Shortcuts for Multiplying Fraction

April 25 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

April 30 3.13 Complex Fractions

3.14 Powers and Sq. Roots of Fractions and Mixed #

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

May 2 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 Mult. with Decimal Numbers and Powers of Ten

4.7A Dividing a Decimal by a Natural Number

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May 7 4.7B Decimal Divisors

4.7C Dividing a Decimal by a Power of Ten

4.8 Powers and Sq. Roots of Decimals (Do only #1 - 20)

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 Dec. to a Common Fraction

4.11 Operations Involving Dec. and Common Fractions

May 9 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 hmwk assigned for this sect.)

6.1 Basic Definitions for Percent

May 14 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

May 16 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

May 21 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

May 23 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

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May 28 HOLIDAY

May 30 Beginning of Module E (Chapter 11 & parts of Chapters 12 & 13)

11.1 Negative Numbers & Absolute Value

11.2 Adding Integers

11.3 Multiplying Integers

June 4 11.4 Dividing Integers

11.5 Subtracting Integers

11.6 Finding Powers of Integers

11.7 Combine Operations

JUNE 4 LAST DAY TO ADD A MODULE

June 6 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

JUNE 11 LAST DAY TO DROP A MODULE

June 11 12.2A Removing Grouping Symbols

12.2B Combining Like Terms

12.2C Simplifying Algebraic Expressions: An Introduction

13.1 Equations and Their Solutions

June 13 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.

June 18 6:00 – 8:00 This time is used for taking Chapter Tests.