Mathematics for Public Schools

An OER Textbook (Fall 2024)

Lisa Darlington
Concord University
Athens, WV
License: CC BY-SA 4.0

Disclaimer: Please contact Lisa Darlington if you find bad links or have issues accessing any section.
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  1. Numbers in Base 10
    1. Hindu-Arabic Positional System2
  2. Numbers in Base 5
  3. Numbers in Any Base
    1. Converting with Base Systems2
  4. Translating Between Bases
  5. Historical Number Systems
    1. Early Numeration Systems2 – Babylonian, Mayan, Roman
    2. Numbers and Numerals3 – Hieroglyphics, Roman
    3. Numeration Systems3 – Chinese, Mayan
  6. Dots and Boxes1
  7. Other Rules1
  8. *Binary Numbers1
  9. *Other Bases1
  10. *Number Systems1
  11. *Even Numbers1
  12. *Exploration1
  13. *Introduction (Number and Operations)1
  14. Addition Algorithms
  15. Addition and Subtraction in Base 10
    1. Addition in Other Number Systems3
    2. Addition Algorithms3
    3. Subtraction in Other Number Systems3
    4. Subtraction Algorithms3
  16. Addition and Subtraction in Base 5
    1. Addition and Subtraction in Base Systems2
  17. *Addition- Dots and Boxes1
  18. *Subtraction- Dots and Boxes1
  19. Multiplication Models
  20. Multiplication in Base 10 & 5
    1. Multiplication Algorithms3
  21. Division
    1. The Meaning of Division3
    2. Division Algorithms3
    3. Multiplication and Division in Base Systems2
    4. Division in Other Bases3
  22. *Number Line Model1
  23. *Multiplication- Dots and Boxes1
  24. *Division- Dots and Boxes1
  25. *Area Model for Multiplication1
  26. *Properties of Operations (Part 1)1
  27. *Properties of Operations (Part 2)1
  28. *Division Explorations1
  29. Integers
    1. Addition and Subtraction of Integers3
    2. Multiplication of Integers3
  30. Problem Bank 1A1
  31. Problem Bank 1B1
  32. *Problem Bank 1C3
  33. Practice Problems 1

  1. Introduction to Fractions1
  2. Fraction Models
  3. What is a Fraction1
  4. The Key Fraction Rule1
  5. Adding and Subtracting Fractions1
  6. Adding and Subtracting Fractions (Models)
  7. What is a Fraction? Revisited1
  8. Multiplying Fractions1
  9. Dividing Fractions- Meaning1
  10. Dividing Fractions- Invert and Multiply1
  11. Dividing Fractions- Problems1
  12. Multiplying and Dividing Fractions (Models)
  13. Fractions involving zero1
  14. Egyptian Fractions1
  15. Algebra Connections1
  16. What is a Fraction? Part 31
  17. Review of Dots and Boxes Model1
  18. Decimals1
  19. Models for Decimals
  20. x-mals1
  21. Division and Decimals1
  22. More x -mals1
  23. Terminating or Repeating?1
  24. Matching Game1
  25. Operations on Decimals1
  26. Operations with Decimals
  27. Orders of Magnitude1
  28. Ratios and Percent
  29. Conversions Among Fractions, Decimals, & Percent
  30. Irrational Numbers
  31. Algebra Tiles
  32. Problem Bank 2A1
  33. Problem Bank 2B1
  34. Practice Problems 2

  1. Gathering and Organizing Data2
  2. Representing Data
  3. Visualizing Data2
  4. Mean, Median, and Mode2
  5. Range and Standard Deviation2
  6. Percentiles2
  7. The Normal Distribution2
  8. Application of the Normal Distibution2
  9. Scatter Plots, Correlation, and Regression Lines2
  10. The Multiplication Rule for Counting2
  11. Permutations2
  12. Combinations2
  13. Tree Diagrams, Tables, and Outcomes2
  14. Basic Concepts of Probability2
  15. Probability with Permutations and Combinations2
  16. What are the Odds2
  17. The Addition Rule for Probability2
  18. Conditional Probability and the Multiplication Rule2
  19. Practice Problems 3

  1. Activity: Angles in Plane Figures
  2. Introduction to Geometry1
  3. Tangrams1
  4. Points, Lines and Planes2
  5. Angles2
  6. Classifying Polygons
  7. Triangles2
  8. Triangles and Quadrilaterals1
  9. Polygons1
  10. Polygons, Perimeter, and Circumference2
  11. Tessellations2
  12. Space Figures
  13. Platonic Solids1
  14. Painted Cubes1
  15. Symmetry1
  16. Transformations
  17. Geometry in Art and Science1
  18. Problem Bank 4A1
  19. Practice Problems 4

  1. The Metric System2
  2. Measuring Area2
  3. Area2
  4. Measuring Volume2
  5. Volume and Surface Area2
  6. Measuring Weight2
  7. Measuring Temperature2
  8. The English System
  9. Conversion Between Systems
  10. Practice Problems 5

Problem Solving

  1. Introduction to Problem Solving1
  2. Problem or Exercise?1
  3. Problem Solving Strategies1
  4. Beware of Patterns!1
  5. Careful Use of Language in Mathematics1
  6. Explaining Your Work1
  7. The Last Step1

Patterns and Algebraic Thinking

  1. Introduction-Patterns and Algebraic Thinking1
  2. Borders on a Square1
  3. Careful Use of Language in Mathematics1
  4. Growing Patterns1
  5. Matching Game1
  6. Structural and Procedural Algebra1

Voyagin on Hōkūle`a

  1. Introduction: Voyagin on Hōkūle`a1
  2. Hōkūle`a1
  3. Worldwide Voyage1
  4. Navigation1
  5. Problem Bank 6A1
  6. Problem Bank 6B1

1 These portions of the book are copied from: Mathematics for Elementary Teachers (Manes) CC BY-SA 4.0

2 These portions of the book are copied from: Contemporary Mathematics (OpenStax) CC BY 4.0

3 These portions of the book are copied from: Understanding Elementary Mathematics (Harland) CC-BY-NC 4.0

Images without attribution were generated by the author and fall under the same licensing as the rest of the book. CC BY-SA 4.0

Hieroglyph Numerals
Phlsph7
CC BY 4.0

Hieroglyph 100K
Arne Nordmann
CC BY-SA 3.0

Hireoglyph Astonished
Otfried Lieberknecht
CC BY-SA 3.0