General Math I (1 credit)

Product ID: MCL3

Step by step, each study unit builds on the previous one. This immensely practical course helps provide students with the math foundation needed for success in virtually any career, and it helps them accurately handle everyday activities ranging from baking a cake to painting a house. It’s also a prerequisite for General Math II.

It contains six study units:

• Whole Numbers
• Fraction
• Decimal
• Measurement
• Ratios, Proportions, and Percent
• General Review

• Define, read, write, round off, and work with whole numbers
• Read a number line and evaluate the relationship of one whole number to another
• Add, subtract, multiply, and divide whole numbers
• Solve word problems involving a combination of mathematical operations
• Convert improper fractions to proper fractions
• Change fractions and mixed numbers into equivalent fractions
• Find the least common denominator of unlike fractions
• Add, subtract, multiply, and divide fractions and mixed numbers
• Convert fractions to reciprocals
• Define decimal, mixed decimal, repeating decimal, and circulating decimal
• Change decimals to fractions, and vice versa
• Compare decimals to determine which is larger or smaller
• Add, subtract, multiply, and divide decimals and mixed decimals
• Solve word problems using decimals
• Identify the units of measurement used in both the English and metric systems
• Accurately measure length, liquid volume, dry volume, capacity, and weight
• Measure time in seconds, minutes, hours, days, and years
• Add and subtract units of measurement, and convert one type to another
• Solve word problems involving measurements
• Explain the concept of ratio, and find equivalent ratios
• Define proportion, and determine if a proportion is true
• Use proportions to solve problems
• Explain percent, and solve three kinds of percent problems
• Change percents to fractions, and vice versa
• Change percents to decimals, and vice versa
• Find the percent of increase or the percent of decrease
• Solve percent problems involving more than one step
• Speed up and check addition problems and multiplication problems
• Check subtraction problems and division problems
• Use shortcuts to solve division problems
• Define factor and prime factor, and find the least common multiple
• Explain the fundamental law of fractions and circle graphs
• Solve advanced word problems using percents

Course Outline
 
Whole Numbers

• What Are Whole Numbers?: Introduction; Arabic Numerals
• Reading and Writing Whole Numbers: Place Value of Digits; Inserting Commas in Numbers; The Number Line; Comparing Whole Numbers; Math Symbols; Rounding Whole Numbers
• Adding Whole Numbers: Basic Addition; Adding Numbers of Several Digits; Checking Your Work; Solving Word Problems
• Subtracting Whole Numbers: Basic Subtraction; Subtracting Numbers of Several Digits; Inverse Operation
• Multiplying Whole Numbers: Basic Multiplication; Fixing Areas; Multiplying by Numbers of Several Digit
• Dividing Whole Numbers: Basic Division; Long Division; Averages; Dividing by More Than One Digit; Remainders; Odd and Even Numbers; Short Division; Checking Your Work; Tips for Solving Word Problems
  

• What are Fractions?: Introduction; Reading and Writing Fractions; Understanding the Uses of Fractions; Comparing Fractions; Proper and Improper Fractions
• Mixed Numbers: Defining Mixed Numbers; Changing Improper Fractions to Mixed Numbers, and Vice Versa
• Equal Fractions: Finding Equal Fractions; Cross Multiplying; Reducing Fractions; Finding the Least Common Multiple; Common Denominators
• Adding and Subtracting Fractions: Like and Unlike Fractions; Adding and Subtracting Mixed Numbers; Subtracting from Whole Numbers; Borrowing
• Multiplying Fractions: Multiplication Process; Multiplying by Whole Numbers or Mixed Numbers; Cancellation Method; Common Factors; Solving Fraction Word Problems
• Dividing Fractions: Reciprocals; Dividing Two Fractions; Dividing with Whole Numbers and Mixed Numbers
  

• Introduction: Decimal Defined; Place Values of Whole Numbers and Decimals; Reading Decimals; Writing Decimals as Fractions; Moving the Decimal Point; When Zeroes Mean Something; When Zeroes Mean Nothing; Mixed Decimals
• More About Decimals: Rounding Decimals; Changing Mixed Decimals to Mixed Numbers; Comparing Decimals
• Adding Decimals: Adding Decimals to Decimals; Adding Decimals and Whole Numbers; Adding Decimals and Mixed Decimals; Adding Mixed Decimals Together
• Subtracting Decimals: Subtracting Decimals from Decimals; Subtracting Decimals from Whole Numbers; Subtracting Whole Numbers from Mixed Decimals; Subtracting Decimals from Other Mixed Decimals
• Multiplying Decimals: Multiplying Decimals by Whole Numbers; Multiplying Mixed Decimals by Whole Numbers; Multiplying Decimals by Decimals; Multiplying Mixed Decimals by Decimals; Multiplying Mixed Decimals by Other Mixed Decimals; Multiplying More Than Two Factors
• Dividing Decimals: Dividing Decimals by Whole Numbers; Dividing Decimals with a Remainder; Dividing Decimals by Decimals • Changing Fractions to Decimals
  

• Introduction: A Brief History of Measurement; English System vs. Metric System
• English System: Distance and Length; Converting Measurements; Adding and Subtracting Measurements; Perimeter; Multiplying Measurements; Dividing Measurements; Weight; Volume; Capacity; Liquid Measure; Dry Measure; Number; Money
• Temperature: English System; Metric System
• Time: Elapsed Time; Military Time
• Metric System: Introduction; Distance and Length; Converting Metric Measurements; Operations with Metric Measurements; Weight; Volume; Capacity
• Converting Between English and Metric Systems: Conversion Tables
  

• Comparing Numbers: Introduction; Comparing Whole Numbers; Comparing Fractions; Comparing Decimals; Comparing Numbers by Subtraction; Comparing Numbers by Division
• Ratio: Definition; Equivalent Ratios; Unit Rate; Word Problems Involving Ratios
• Proportion: Definition; True and False Proportions; Finding the Unknown in a Proportion; Word Problems Involving Proportions
• Percent: Definition; Working with Percents Less Than and Greater Than 100%; Circle Graphs; Pie Charts; Relationship Between Percents, Fractions, and Decimals; Changing Percents to Decimals, and Vice Versa; Changing Percents to Fractions, and Vice Versa; Frequently Used Percents
• Solving Percent Problems: Vocabulary of Percent Problems; Finding the Percentage, Rate, Base, or Percent of Increase and Decrease; Solving Multi-Step Word Problems
  

Introduction

Reviews of Addition, Subtraction, Multiplication, Division, Factors, Multiples, Fractions, Mixed Numbers, Decimals, Percents.

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How it Works
After registering for the General Math I course, all of your learning materials will be shipped directly to you. If you like, you can also go to our website and download some of your study materials to get a head start. Your learning materials will guide you through the course content, explaining concepts and operations through a series of lessons. After each lesson, you’ll take an exam which you can submit by phone or our website. As you pass each lesson, you’ll proceed to the next topic until you complete the course.

There are six exams that need to be passed to complete your course in General Math I and you’ll have up to 15 weeks to complete the course.
 
Support
If you should ever need help with your studies, you can e-mail or call our instructors who will gladly help you with any questions that you might have.

Study Time
Since there is no set class schedule, you study when and where it’s convenient for you. You can complete your course as quickly as you’d like.

Completion
When you have successfully completed your course, you will receive a letter of completion along with an official transcript listing your completed course(s) and grades. You can apply your course towards our Diploma Program or a diploma from your local High School (be sure to check with your school authorities regarding mandatory attendance policies and whether they agree that the Penn Foster High School Program is acceptable toward the completion of your high school education). 
 
Accreditation
Penn Foster High School is accredited by The Middle States Commission on Secondary Schools; has met the high standards of integrity and performance set by the Accrediting Commission of the Distance Education and Training Council (DETC), Washington D.C., and is licensed by the Pennsylvania State Board of Private Licensed Schools.

Whether you’re looking for accelerated studies or credit recovery, regionally and nationally accredited Penn Foster High School provides the courses you need to complete your High School Diploma. 

Product ID: MCL3