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Arithmetic

Core topics include the four fundamental operations of addition, subtraction, multiplication, and division of (1) whole numbers, (2) fractions, and (3) decimals. Therefore, students from 3rd grade through college may use topics to learn for the first time or refresh for further studies.

The Arithmetic curriculum also includes work with ratio and proportion, percents, the U.S. customary and metric systems of measurement, elementary statistics and probability, integers, geometry, and introduction to algebra.

Table of Contents

Chapter 1 – WHOLE NUMBERS

1.1 Introduction to Whole Numbers
1.2 Addition of Whole Numbers
1.3 Subtraction of Whole Numbers
1.4 Multiplication of Whole Numbers
1.5 Division of Whole Numbers
1.6 Exponential Notation and the Order of Operations Agreement
1.7 Prime Numbers and Factoring

Chapter 2 – FRACTIONS

2.1 The least Common Multiple and Greatest Common Factor
2.2 Introduction to Fractions
2.3 Writing Equivalent Fractions
2.4 Addition of Fractions and Mixed Numbers
2.5 Subtraction of Fractions and Mixed Numbers
2.6 Multiplication of Fractions and Mixed Numbers
2.7 Division of Fractions and Mixed Numbers
2.8 Order, Exponents, and the Order of Operations Agreement

Chapter 3 – DECIMALS

3.1 Introduction to Decimals
3.2 Addition of Decimals
3.3 Subtraction of Decimals
3.4 Multiplication of Decimals
3.5 Division of Decimals
3.6 Comparing and Converting Fractions and Decimals

Chapter 4 – RATIO AND PROPORTION

4.1 Ratio
4.2 Rates
4.3 Proportions

Chapter 5 – PERCENTS

5.1 Introduction to Percents
5.2 Percent Equations: Part I
5.3 Percent Equations: Part II
5.4 Percent Equations: Part III
5.5 Percent Problems: Proportion Method

Chapter 6 – APPLICATIONS FOR BUSINESS AND CONSUMERS

6.1 Applications to Purchasing
6.2 Percent Increase and Percent Decrease
6.3 Interest
6.4 Real Estate Expenses
6.5 Car Expenses
6.6 Wages
6.7 Bank Statements

Chapter 7 – STATISTICS AND PROBABILITY

7.1 Pictographs and Circle Graphs
7.2 Bar Graphs and Broken-Line Graphs
7.3 Histograms and Frequency Polygons
7.4 Statistical Measures
7.5 Introduction to Probability

Chapter 8 – U.S. CUSTOMARY UNITS OF MEASUREMENT

8.1 Length
8.2 Weight
8.3 Capacity
8.4 Time
8.5 Energy and Power

Chapter 9 – THE METRIC SYSTEM OF MEASUREMENT

9.1 Length
9.2 Mass
9.3 Capacity
9.4 Energy
9.5 Conversion Between the U.S. Customary and the Metric Systems of Measurement

Chapter 10 – RATIONAL NUMBERS

10.1 Introduction to Integers
10.2 Addition and Subtraction of Integers
10.3 Multiplication and Division of Integers
10.4 Operations with Rational Numbers
10.5 Scientific Notation and the Order of Operations Agreement

Chapter 11 – INTRODUCTION TO ALGEBRA

11.1 Variable Expressions
11.2 Introduction to Equations
11.3 General Equations: Part I
11.4 General Equations: Part II
11.5 Translating Verbal Expressions into Mathematical Expressions
11.6 Translating Sentences into Equations and Solving

Chapter 12 – GEOMETRY

12.1 Angles, Lines, and Geometric Figures
12.2 Plane Geometric Figures
12.3 Area
12.4 Volume
12.5 The Pythagorean Theorem
12.6 Similar and Congruent Triangles

Sample Videos from this Course