General Math II (1 credit)

Product ID: MCN5

It also introduces geometry (from the Greek words geo, meaning Earth, and metria, meaning measurement). Created by the ancient Egyptians and enhanced by the ancient Greeks (e.g., Euclid, many of whose rules or truths are still used today), geometry includes the study of points, lines, surfaces, and solids.

The course contains four study units:

• Numbers and Operations
• Equations and Inequalities
• Geometry: Terms, Perimeter, Circumference
• Geometry: Area and Volume—and there are four exams

• Solve addition, subtraction, multiplication, and division problems more easily
• Solve multi-step problems using the rules of the order of operations
• Find the factors of a number
• Determine whether a number is prime or composite
• Use and evaluate exponential expressions
• Use the power of 10 and scientific notation
• Explain the difference between a perfect square and a square root
• Solve simple equations, and also word problems using equations
• Give examples of positive and negative numbers
• Use the four basic operations with positive and negative numbers
• Give examples of monomials and polynomials
• Simplify polynomials by combining like monomials
• Simplify and solve one-step and multi-step equations
• Use the four basic operations to solve inequalities
• Translate problems into equations and inequalities
• Identify and name points, lines, line segments, rays, planes, angles, and vertices
• Identify and name various angles: acute, right, obtuse, straight, adjacent, vertical,
  complementary, and supplementary
• Identify parallel and perpendicular lines, and regular and irregular polygons
• Identify a circle, its radius and its diameter, and calculate its circumference
• Compute the perimeter of polygons, quadrilaterals, and triangles
• Solve equations using the basic principles of geometry
• Identify different types of quadrilaterals and triangles
• Use formulas to calculate the area of squares, rectangles, triangles, and circles
• Use the Pythagorean theorem to find the length of a missing side in a right triangle
• Use formulas to compute the volume of cubes, cylinders, and rectangular solids
• Solve equations using the principles of geometry

Numbers and Operations

• The Four Basic Operations: Introduction; Addition; Subtraction; Multiplication; Division; Inverse Operations; Combining Operations to Solve Word Problems
  

The Order of Operations

• Factors and Multiples: Introduction; Divisibility; Prime and Composite Numbers
• Powers and Roots: Introduction; Exponents; Zero and One as Exponents; Powers of 10; Scientific Notation; Square Roots
• Equations: Introduction; Solving Addition, Subtraction, Multiplication, and Division Equations; Using Combinations of Operations

Equations and Inequalities

• Signed Numbers: Introduction
• Basic Operations with Signed Numbers: Addition; Subtraction; Multiplication; Division; Combining Operations
• Monomials and Polynomials: Some Important Definitions; Simplifying Expressions
• Equations: Solving Equations Using Addition, Subtraction, Multiplication, Division, or Combined Operations; Simplifying Equations; Solving for One Variable in Terms of Another; More Word

Problems

• Inequalities:

• Introduction; Solving Inequalities with Variables; Combining Operations; Solving Word Problems Using Inequalities
• Geometry: Terms, Perimeter, Circumference

 

Introduction: Some Basic Geometric Terms

• Angles: Naming Angles; Measuring Angles; Types of Angles; Applications for Geometry
• Lines: Types of Lines
• Polygons: Defining and Naming Polygons
• Perimeter: Definition; Working with Perimeters
• Circles and Circumference: The Number Pi (π); Finding Circumference
  

Geometry: Area and Volume

• Quadrilaterals: Types; Finding the Perimeter; Finding Area; Area of Rectangles; Area of Squares
• Circles: Finding Circumference; Finding Area; Finding the Radius; Practical Applications of Area Formulas
• Triangles: Types; Finding Area; Pythagorean Theorem; Practical Applications of Pythagorean Theorem
• Volume: Definition; Rectangular Solids; Cylinders; Practical Applications of Volume Formulas

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How it Works
After registering for the General Math II 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 four exams that need to be passed to complete your course in General Math II 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: MCN5