# Course Syllabus: Basic Math 101

no certificate

with CEU Certificate*

## Course Description

Fear fractions no more. And learn whether to add first or multiply first in a string of operations. Whether you are struggling with basic math functions in a course today, you are taking a new job that demands understanding of math, or you simply need to review or remember some part of basic math, this course will bring you up to speed. Learn to really understand addition, subtraction, multiplication, and division; know how to calculate and move among decimals, fractions, and percents; figure out ratios and proportions like a pro; and learn to use a calculator for basic math functions.

This course deals with the nuts and bolts of Math. Students will become equipped with a solid foundation of the mathematical tools required to solve more complex mathematical operations. This course would benefit any student (regardless of age) who requires help understanding basic math skills in order to pass a placement test, a course, a specific job, or a review or brush up on math skills.

No previous education is required though understanding lesson material assumes students at least have a 7^{th} grade reading level. Lessons will focus on the steps involved in adding, subtracting, multiplying, dividing as well as the order of operations. In addition this course will focus on the various forms of numbers such as fractions, decimals, percents, radical signs, absolute value signs exponents, ratios.

## Course Requirements

## Course Topics

1. Numbers and Terminology

a. Number line and 1-to-1 correspondence

b. Real numbers

i. Irrational numbers

ii. Rational numbers

1. Integers – positive numbers, zero, negative numbers

2. Counting numbers and whole numbers

3. Even and odd numbers

c. Factors

d. Variables

e. Place value

f. Equivalence and the reflexive axiom, symmetric axiom, and transitive axiom

2. Addition

a. Movement on a number line

b. Grouping of objects

c. Terms – sum, plus, addend

d. Addition table

e. Simple addition

f. Addition necessitating carrying

3. Subtraction

a. Movement on a number line

b. Grouping of objects

c. Terms - minus, minuend, difference, less, take away

d. Identity element and additive inverse; additive axiom

e. Simple subtraction

f. Subtraction necessitating borrowing

4. Multiplication

a. Multiplication by zero; multiplication by one (identity element); multiplicative axiom; multiplicative inverse

b. Grouping of objects

c. Terms – factor, product, multiplier

d. Multiplication with a single digit multiplier

e. Multiplication with a multiple digit multiplier

5. Division

a. Division by one, division by zero

b. Grouping of objects

c. Terms – divisor, dividend, quotient

d. Division with a single digit divisor

e. Division with a multiple digit divisor

6. Signs used in Operations – Positive and Negative Numbers

a. Adding a positive and a negative number and adding two negative numbers

b. Subtracting a positive number from a negative number and subtracting a negative number from a positive number

c. Multiplying a positive and a negative number and multiplying two negative numbers

d. Dividing a positive number by a negative number and dividing a negative number by a positive number and dividing a negative number by a negative number

e. Greater than and less than and sets of numbers

7. Operations and Properties

a. Reciprocals

b. Commutative property

c. Associative property

d. Distributive property

e. Order of operations - including parenthesis, bracket, brace

8. Fractions

a. Division and fractions

b. Proper and improper fractions; mixed numbers and whole numbers and how they relate to fractions

c. Find the GCF (greatest common factor)

d. Finding the LCD (lowest common denominator)

e. How to add, subtract, multiply and divide fractions

f. How to convert fractions to decimals.

g. Comparing fractions: Ratio and Proportions

9. Decimals/The Decimal Number System –

a. Base ten - Multiples of ten and their names

b. Moving a decimal point to multiply or divide by ten

c. Adding and subtracting decimals

d. Multiplying and dividing decimals

10. Percents

a. What is percent?

b. Converting decimals to percents and vice versa

c. Converting fractions to percents and vice versa

d. Terms – percentage, base, rate

e. Uses of percent and how to do them – interest rate, sale percentage off

11. Other Operations

a. Powers and exponents (include table of squares and cubes)

b. Radicals and square roots

c. Absolute value

12. Calculators various types of calculators,

a. 10-key diagram,

b. Basic keys and what each key does & how it works.

c. Addition, subtraction, multiplication, division

d. Strings of operations and order of operations when calculating with mixed operations

e. What to do with fractions on a calculator: finding percents and decimals

f. Working with percents and decimals

g. Powers and exponents

h. Radicals and square roots

i. Scientific notation

## Course Materials

## Grading Policy

Each lesson will include a written and practice assignment that will directly apply what you have learned.

A brief 10 pt. quiz will follow each lesson. Students will successfully complete this course by mastering all learning outcomes with 70% or higher overall grade.

## Learning Outcomes

- Know numbers and basic terminology.
- Solve addition problems.
- Solve subtraction problems.
- Solve multiplication problems.
- Solve division problems.
- Solve problems involving positive and negative numbers.
- Solve fraction problems.
- Solve decimal problems.
- Solve percent problems, and
- Demonstrate mastery of lesson content at levels of 70% or higher.

## Assessment Guide

Introduction Assignment | 1 |

Lesson 1 Exercises | 10 |

Quiz for Lesson 1 - Numbers and Terminology | 10 |

Lesson 2 Exercises | 10 |

Quiz for Lesson 2 - Addition | 10 |

Lesson 3 Exercises | 10 |

Quiz for Lesson 3 - Subtraction | 10 |

Lesson 4 Exercises | 10 |

Quiz for Lesson 4 : Multiplication | 10 |

Lesson 5 Exercises | 10 |

Quiz for Lesson 5 - Division | 10 |

Lesson 6 Exercises | 10 |

Quiz for Lesson 6 - Signs used in Operations – Positive and Negative Numbers | 10 |

Lesson 7 Exercises | 9 |

Quiz for Lesson 7 - Operations and Properties | 8 |

Lesson 8 Exercises | 8 |

Quiz for Lesson 8 - Fractions | 10 |

Lesson 9 Exercises | 10 |

Quiz for Lesson 9 - Decimals/The Decimal Number System | 9 |

Lesson 10 Exercises | 10 |

Quiz for Lesson 10 - Percents | 10 |

Quiz for Lesson 11 - Other Operations | 10 |

Quiz for Lesson 12 - Calculators : Using a Calculator | 6 |

The Final Exam | 143 |

Total Points: | 354 |

## Related Articles

- How to Add, Subtract, Multiply, and Divide Positive and Negative Numbers
- Math Skills: Rounding, Exponents, Radicals, Square Roots, and Ratios
- Math Skills: How to Do Subtraction
- Basic Mathematical Terminology
- Math Skills: How to Calculate, Convert, and Use Percents
- How to Solve Linear Inequalities
- Solving Geometry Problems Involving Circles
- Mathematical Numbers: Natural, Whole, Rational, Irrational, Real, Complex, Integers
- How to Determine Measures of Position (Percentiles and Quartiles)
- How to Perform Arithmetic Operations on Radicals
- Solving Algebraic Functions
- Applied Statistics: Multivariate Data
- What is Geometry?
- Precalculus: Using Polar Coordinates
- Algebra Terminology: Operations, Variables, Functions, and Graphs