Essential Mathematics

by D. Franklin Wright

Essential Mathematics provides students with a learning tool that will help them develop basic arithmetic skills, develop reasoning and problem-solving skills, and achieve satisfaction in learning so that they will be encouraged to continue their education in mathematics. The style of writing gives carefully worded, thorough explanations that are direct, easy to understand, and mathematically accurate. The use of color, subheadings, and shaded boxes helps students understand and reference important topics.

Students are expected to participate actively by working margin exercises and completion examples as they progress through each section. The answers to the margin exercises are in the back of the text, and the answers to the completion examples are at the end of each section. This approach provides the students with immediate reinforcement and the instructor with immediate feedback as to how well the students understand the material. Space is provided in the text for students to calculate and write answers on the text page.

The text’s flexible style allows for teaching based on the standard lecture method and for programs based on the cooperative learning (small group studies) or independent study in a mathematics laboratory setting. The NCTM and AMATYC curriculum standards have been taken into consideration in the development of topics.

Formats: Textbook, Student Solution Manual

Product ISBN
Textbook 978‑0‑669‑35287‑0
Student Solution Manual 978‑0‑669‑39482‑5

Table of Contents

  1. Chapter 1: Whole Numbers
    1. 1.1 The Decimal System
    2. 1.2 Addition and Subtraction
    3. 1.3 Rounding Off and Estimating
    4. 1.4 Multiplication
    5. 1.5 Division
    6. 1.6 Problem Solving with Whole Numbers
  2. Chapter 2: Prime Numbers
    1. 2.1 Exponents and Order of Operations
    2. 2.2 Tests for Divisibility (2, 3, 4, 5, 9, and 10)
    3. 2.3 Prime Numbers and Composite Numbers
    4. 2.4 Prime Factorizations
    5. 2.5 Least Common Multiple (LCM) with Applications
  3. Chapter 3: Fractions
    1. 3.1 Basic Multiplication and Building to Higher Terms
    2. 3.2 Multiplication and Reducing
    3. 3.3 Division
    4. 3.4 Addition and Subtraction
    5. 3.5 Comparison and Order of Operations
  4. Chapter 4: Mixed Numbers and Denominate Numbers
    1. 4.1 Introduction to Mixed Numbers
    2. 4.2 Multiplication and Division
    3. 4.3 Addition
    4. 4.4 Subtraction
    5. 4.5 Complex Fractions and Order of Operations
    6. 4.6 Denominate Numbers
  5. Chapter 5: Decimal Numbers
    1. 5.1 Reading, Writing, and Rounding Off Decimal Numbers
    2. 5.2 Addition and Subtraction (and Estimating)
    3. 5.3 Multiplication (and Estimating)
    4. 5.4 Division (and Estimating)
    5. 5.5 Scientific Notation
    6. 5.6 Decimals and Fractions
    7. 5.7 Square Roots and the Pythagorean Theorem
  6. Chapter 6: Ratios and Proportions
    1. 6.1 Rations
    2. 6.2 Price per Unit
    3. 6.3 Proportions
    4. 6.4 Finding the Unknown Term in a Proportion
    5. 6.5 Problem Solving with Proportions
  7. Chapter 7: Percent
    1. 7.1 Decimals and Percents
    2. 7.2 Fractions and Percents
    3. 7.3 Solving Percent Problems Using the Proportion R/100 = A/B (Optional)
    4. 7.4 Solving Percent Problems Using the Equation R × B = A
    5. 7.5 Applications with Percent: Discount, Sales Tax, and Tipping
    6. 7.6 Applications with Percent: Commission, Profit, and Others
  8. Chapter 8: Consumer Applications
    1. 8.1 Simple Interest
    2. 8.2 Compound Interest
    3. 8.3 Buying and Owning a Home
    4. 8.4 Buying and Owning a Car
  9. Chapter 9: Introduction to Algebra
    1. 9.1 Integers (Number Lines and Absolute Value)
    2. 9.2 Addition with Integers
    3. 9.3 Subtraction with Integers
    4. 9.4 Multiplication and Division with Integers
    5. 9.5 Combining Like Terms and Evaluating Algebraic Expressions
    6. 9.6 Translating English Phrases and Solving Equations
    7. 9.7 Problem Solving
  10. Measurement
    1. M.1 Metric System: Length and Area
    2. M.2 Metric System: Weight and Volute
    3. M.3 U.S. Customary Measurements and Metric Equivalents
    4. M.4 Applications in Medicine
  11. Statistics and Reading Graphs
    1. S.1 Mean, Median, and Range
    2. S.2 Circle Graphs and Pictographs
    3. S.3 Bar Graphs and Line Graphs
    4. S.4 Histograms and Frequency Polygons
  12. Geometry
    1. G.1 Length and Perimeter
    2. G.2 Area
    3. G.3 Volume
    4. G.4 Angles
    5. G.5 Triangles
  13. Additional Topics from Algebra
    1. T.1 First Degree Inequalities (ax + b < c)
    2. T.2 Graphing Ordered Pairs of Real Numbers
    3. T.3 Graphing Linear Equations (Ax + By = c)
    4. T.4 Addition and Subtraction with Polynomials
    5. T.5 Multiplication with Polynomials