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Quantitative Reasoning

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Book Contents
  1. Faculty Resources
    1. Teaching Resources

    2. Evidence-Based Teaching Practices

    3. Technical Resources

  2. Course Resources
    1. Students: How to Use Lumen Course Materials

    2. Students: Additional Lumen Resources

  3. General Problem Solving
    1. General Problem Solving: Cheat Sheet

    2. General Problem Solving: Background You'll Need 1

    3. General Problem Solving: Background You'll Need 2

    4. General Problem Solving: Background You'll Need 3

    5. General Problem Solving: Learn It 1

    6. General Problem Solving: Learn It 2

    7. General Problem Solving: Learn It 3

    8. General Problem Solving: Learn It 4

    9. General Problem Solving: Learn It 5

    10. General Problem Solving: Apply It 1

    11. General Problem Solving: Apply It 2

    12. General Problem Solving: Fresh Take

    13. General Problem Solving: Get Stronger

    14. General Problem Solving: Get Stronger Answer Key

  4. Set Theory and Logic
    1. Set Theory and Logic: Cheat Sheet

    2. Set Theory and Logic: Background You'll Need 1

    3. Set Theory and Logic: Background You'll Need 2

    4. Set Theory Basics: Learn It 1

    5. Set Theory Basics: Learn It 2

    6. Set Theory Basics: Learn It 3

    7. Set Theory Basics: Learn It 4

    8. Set Theory Basics: Apply It 1

    9. Set Theory Basics: Apply It 2

    10. Set Theory Basics: Fresh Take

    11. Logic Basics: Learn It 1

    12. Logic Basics: Learn It 2

    13. Logic Basics: Learn It 3

    14. Logic Basics: Learn It 4

    15. Logic Basics: Learn It 5

    16. Logic Basics: Apply It 1

    17. Logic Basics: Apply It 2

    18. Logic Basics: Fresh Take

    19. Analyzing Arguments With Logic: Learn It 1

    20. Analyzing Arguments With Logic: Learn It 2

    21. Analyzing Arguments With Logic: Learn It 3

    22. Analyzing Arguments With Logic: Apply It 1

    23. Analyzing Arguments With Logic: Apply It 2

    24. Analyzing Arguments With Logic: Fresh Take

    25. Set Theory and Logic: Get Stronger

    26. Set Theory 2

    27. Set Theory Answer Key

    28. Set Theory and Logic: Get Stronger Final Answer Key

  5. Historical Counting Systems
    1. Historical Counting Systems: Cheat Sheet

    2. Historical Counting Systems: Background You'll Need 1

    3. Historical Counting Systems: Background You'll Need 2

    4. Early Counting Systems: Learn It 1

    5. Early Counting Systems: Learn It 2

    6. Early Counting Systems: Learn It 3

    7. Early Counting Systems: Learn It 4

    8. Early Counting Systems: Learn It 5

    9. Early Counting Systems: Apply It 1

    10. Early Counting Systems: Apply It 2

    11. Early Counting Systems: Fresh Take

    12. Positional Systems and Bases: Learn It 1

    13. Positional Systems and Bases: Learn It 2

    14. Positional Systems and Bases: Learn It 3

    15. Positional Systems and Bases: Apply It 1

    16. Positional Systems and Bases: Apply It 2

    17. Positional Systems and Bases: Fresh Take

    18. Historical Counting Systems: Get Stronger

    19. Historical Counting Systems: Get Stronger Answer Key

  6. Whole Numbers and Integers
    1. Whole Numbers and Integers: Cheat Sheet

    2. Whole Numbers and Integers: Background You’ll Need 1

    3. Whole Numbers and Integers: Background You’ll Need 2

    4. Whole Numbers: Learn It 1

    5. Whole Numbers: Learn It 2

    6. Whole Numbers: Learn It 3

    7. Whole Numbers: Learn It 4

    8. Whole Numbers: Learn It 5

    9. Whole Numbers: Learn It 6

    10. Whole Numbers: Learn It 7

    11. Whole Numbers: Apply It 1

    12. Whole Numbers: Apply It 2

    13. Whole Numbers: Fresh Take

    14. Integers: Learn It 1

    15. Integers: Learn It 2

    16. Integers: Learn It 3

    17. Integers: Learn It 4

    18. Integers: Learn It 5

    19. Integers: Learn It 6

    20. Integers: Learn It 7

    21. Integers: Learn It 8

    22. Integers: Apply It 1

    23. Integers: Apply It 2

    24. Integers: Fresh Take

    25. Whole Numbers and Integers: Get Stronger

    26. Whole Numbers and Integers: Get Stronger Answer Key

  7. Numbers and Their Applications
    1. Numbers and Their Applications: Cheat Sheet

    2. Numbers and Their Applications: Background You’ll Need 1

    3. Numbers and Their Applications: Background You’ll Need 2

    4. Decimals: Learn It 1

    5. Decimals: Learn It 2

    6. Decimals: Learn It 3

    7. Decimals: Learn It 4

    8. Decimals: Apply It 1

    9. Decimals: Apply It 2

    10. Decimals: Fresh Take

    11. Percents: Learn It 1

    12. Percents: Learn It 2

    13. Percents: Learn It 3

    14. Percents: Apply It 1

    15. Percents: Apply It 2

    16. Percents: Fresh Take

    17. Exponents and Scientific Notation: Learn It 1

    18. Exponents and Scientific Notation: Learn It 2

    19. Exponents and Scientific Notation: Learn It 3

    20. Exponents and Scientific Notation: Learn It 4

    21. Exponents and Scientific Notation: Learn It 5

    22. Exponents and Scientific Notation: Learn It 6

    23. Exponents and Scientific Notation: Apply It 1

    24. Exponents and Scientific Notation: Apply It 2

    25. Exponents and Scientific Notation: Fresh Take

    26. Algebraic Equations: Learn It 1

    27. Algebraic Equations: Learn It 2

    28. Algebraic Equations: Learn It 3

    29. Algebraic Equations: Learn It 4

    30. Algebraic Equations: Learn It 5

    31. Algebraic Equations: Apply It 1

    32. Algebraic Equations: Apply It 2

    33. Algebraic Equations: Fresh Take

    34. Numbers and Their Applications: Get Stronger

    35. Numbers and Their Applications: Get Stronger Answer Key

  8. Measurement
    1. Measurement: Cheat Sheet

    2. Measurement: Background You'll Need - Page 1

    3. Measurement: Background You'll Need - Page 2

    4. US Units of Measurement: Learn It 1

    5. US Units of Measurement: Learn It 2

    6. US Units of Measurement: Learn It 3

    7. US Units of Measurement: Learn It 4

    8. US Units of Measurement: Learn It 5

    9. US Units of Measurement: Learn It 6

    10. US Units of Measurement: Apply It 1

    11. US Units of Measurement: Apply It 2

    12. US Units of Measurement: Fresh Take

    13. Systems and Scales of Measurement: Learn It 1

    14. Systems and Scales of Measurement: Learn It 2

    15. Systems and Scales of Measurement: Learn It 3

    16. Systems and Scales of Measurement: Learn It 4

    17. Systems and Scales of Measurement: Apply It 1

    18. Systems and Scales of Measurement: Apply It 2

    19. Systems and Scales of Measurement: Fresh Take

    20. Dimensional Analysis of Rates: Learn It 1

    21. Dimensional Analysis of Rates: Learn It 2

    22. Dimensional Analysis of Rates: Apply It 1

    23. Dimensional Analysis of Rates: Apply It 2

    24. Dimensional Analysis of Rates: Fresh Take

    25. Measurement: Get Stronger

    26. Measurement: Get Stronger Answer Key

  9. Geometry
    1. Geometry: Cheat Sheet

    2. Geometry: Background You'll Need 1

    3. Geometry: Background You'll Need 2

    4. Introduction to Geometry: Learn It 1

    5. Introduction to Geometry: Learn It 2

    6. Introduction to Geometry: Learn It 3

    7. Introduction to Geometry: Learn It 4

    8. Introduction to Geometry: Apply It 1

    9. Introduction to Geometry: Apply It 2

    10. Introduction to Geometry: Fresh Take

    11. Triangles: Learn It 1

    12. Triangles: Learn It 2

    13. Triangles: Learn It 3

    14. Triangles: Learn It 4

    15. Triangles: Apply It 1

    16. Triangles: Apply It 2

    17. Triangles: Fresh Take

    18. Area and Circumference: Learn It 1

    19. Area and Circumference: Learn It 2

    20. Area and Circumference: Learn It 3

    21. Area and Circumference: Learn It 4

    22. Area and Circumference: Learn It 5

    23. Area and Circumference: Apply It 1

    24. Area and Circumference: Apply It 2

    25. Area and Circumference: Fresh Take

    26. Volume and Surface Area: Learn It 1

    27. Volume and Surface Area: Learn It 2

    28. Volume and Surface Area: Learn It 3

    29. Volume and Surface Area: Learn It 4

    30. Volume and Surface Area: Apply It 1

    31. Volume and Surface Area: Apply It 2

    32. Volume and Surface Area: Fresh Take

    33. Geometry: Get Stronger

    34. Geometry: Get Stronger Answer Key

  10. Cryptography
    1. Cryptography: Cheat Sheet

    2. Cryptography: Background You’ll Need 1

    3. Cryptography: Background You’ll Need 2

    4. Cryptography: Learn It 1

    5. Cryptography: Learn It 2

    6. Cryptography: Learn It 3

    7. Cryptography: Learn It 4

    8. Cryptography: Learn It 5

    9. Cryptography: Learn It 6

    10. Cryptography: Learn It 7

    11. Cryptography: Apply It 1

    12. Cryptography: Apply It 2

    13. Cryptography: Fresh Take

    14. Cryptography: Get Stronger

    15. Cryptography: Get Stronger Answer Key

  11. Fractals
    1. Fractals: Cheat Sheet

    2. Fractals: Background You'll Need 1

    3. Fractals: Background You'll Need 2

    4. Fractal Basics: Learn It 1

    5. Fractal Basics: Learn It 2

    6. Fractal Basics: Learn It 3

    7. Fractal Basics: Apply It 1

    8. Fractal Basics: Apply It 2

    9. Fractal Basics: Fresh Take

    10. Fractals Generated by Complex Numbers: Learn It 1

    11. Fractals Generated by Complex Numbers: Learn It 2

    12. Fractals Generated by Complex Numbers: Learn It 3

    13. Fractals Generated by Complex Numbers: Learn It 4

    14. Fractals Generated by Complex Numbers: Learn It 5

    15. Fractals Generated by Complex Numbers: Apply It 1

    16. Fractals Generated by Complex Numbers: Apply It 2

    17. Fractals Generated by Complex Numbers: Fresh Take

    18. Fractals: Get Stronger

    19. Fractals: Get Stronger Answer Key

  12. Data Organization
    1. Data Organization: Cheat Sheet

    2. Data Organization: Background You'll Need 1

    3. Data Organization: Background You'll Need 2

    4. Representing Data Graphically: Learn It 1

    5. Representing Data Graphically: Learn It 2

    6. Representing Data Graphically: Learn It 3

    7. Representing Data Graphically: Learn It 4

    8. Representing Data Graphically: Apply It 1

    9. Representing Data Graphically: Apply It 2

    10. Representing Data Graphically: Fresh Take

    11. Numerical Summaries of Data: Learn It 1

    12. Numerical Summaries of Data: Learn It 2

    13. Numerical Summaries of Data: Learn It 3

    14. Numerical Summaries of Data: Learn It 4

    15. Numerical Summaries of Data: Apply It 1

    16. Numerical Summaries of Data: Apply It 2

    17. Numerical Summaries of Data: Fresh Take

    18. Data Exploration: Learn It 1

    19. Data Exploration: Learn It 2

    20. Data Exploration: Learn It 3

    21. Data Exploration: Apply It 1

    22. Data Exploration: Apply It 2

    23. Data Exploration: Fresh Take

    24. Data Organization: Get Stronger

    25. Data Organization: Get Stronger Answer Key

  13. Probability
    1. Probability: Cheat Sheet

    2. Probability: Background You'll Need 1

    3. Probability: Background You'll Need 2

    4. Probability: Background You'll Need 3

    5. Computing the Probability of an Event: Learn It 1

    6. Computing the Probability of an Event: Learn It 2

    7. Computing the Probability of an Event: Learn It 3

    8. Computing the Probability of an Event: Learn It 4

    9. Computing the Probability of an Event: Apply It 1

    10. Computing the Probability of an Event: Apply It 2

    11. Computing the Probability of an Event: Fresh Take

    12. Applications With Probability: Learn It 1

    13. Applications With Probability: Learn It 2

    14. Applications With Probability: Learn It 3

    15. Applications With Probability: Learn It 4

    16. Applications With Probability: Learn It 5

    17. Applications With Probability: Apply It 1

    18. Applications With Probability: Apply It 2

    19. Applications With Probability: Fresh Take

    20. Probability: Get Stronger

    21. Probability: Get Stronger Answer Key

  14. Statistics
    1. Statistics: Cheat Sheet

    2. Statistics: Background You'll Need 1

    3. Statistics: Background You'll Need 2

    4. Data Collection Basics: Learn It 1

    5. Data Collection Basics: Learn It 2

    6. Data Collection Basics: Learn It 3

    7. Data Collection Basics: Apply It 1

    8. Data Collection Basics: Apply It 2

    9. Data Collection Basics: Fresh Take

    10. Sampling and Experimentation: Learn It 1

    11. Sampling and Experimentation: Learn It 2

    12. Sampling and Experimentation: Learn It 3

    13. Sampling and Experimentation: Learn It 4

    14. Sampling and Experimentation: Learn It 5

    15. Sampling and Experimentation: Learn It 6

    16. Sampling and Experimentation: Apply It 1

    17. Sampling and Experimentation: Apply It 2

    18. Sampling and Experimentation: Fresh Take

    19. Advanced Experimental Design: Learn It 1

    20. Advanced Experimental Design: Learn It 2

    21. Advanced Experimental Design: Learn It 3

    22. Advanced Experimental Design: Apply It 1

    23. Advanced Experimental Design: Apply It 2

    24. Advanced Experimental Design: Fresh Take

    25. Statistics: Get Stronger

    26. Statistics: Get Stronger Answer Key

  15. Personal Finance
    1. Personal Finance: Cheat Sheet

    2. Personal Finance: Background You'll Need 1

    3. Personal Finance: Background You'll Need 2

    4. Personal Finance: Background You'll Need 3

    5. Savings, Expenses, Budgets: Learn It 1

    6. Savings, Expenses, Budgets: Learn It 2

    7. Savings, Expenses, Budgets: Learn It 3

    8. Savings, Expenses, Budgets: Learn It 4

    9. Savings, Expenses, Budgets: Apply It 1

    10. Savings, Expenses, Budgets: Apply It 2

    11. Savings, Expenses, Budgets: Fresh Take

    12. Income Tax and Paycheck Deductions: Learn It 1

    13. Income Tax and Paycheck Deductions: Learn It 2

    14. Income Tax and Paycheck Deductions: Learn It 3

    15. Income Tax and Paycheck Deductions: Learn It 4

    16. Income Tax and Paycheck Deductions: Apply It 1

    17. Income Tax and Paycheck Deductions: Apply It 2

    18. Income Tax and Paycheck Deductions: Fresh Take

    19. Simple and Compound Interest: Learn It 1

    20. Simple and Compound Interest: Learn It 2

    21. Simple and Compound Interest: Learn It 3

    22. Simple and Compound Interest: Learn It 4

    23. Simple and Compound Interest: Apply It 1

    24. Simple and Compound Interest: Apply It 2

    25. Simple and Compound Interest: Fresh Take

    26. Annuities and Loans: Learn It 1

    27. Annuities and Loans: Learn It 2

    28. Annuities and Loans: Learn It 3

    29. Annuities and Loans: Learn It 4

    30. Annuities and Loans: Apply It 1

    31. Annuities and Loans: Apply It 2

    32. Annuities and Loans: Fresh Take

    33. Personal Finance: Get Stronger

    34. Personal Finance: Get Stronger Answer Key

  16. Personal Finance - Common Scenarios
    1. Personal Finance - Common Scenarios: Cheat Sheet

    2. Personal Finance - Common Scenarios: Background You'll Need - Page 1

    3. Personal Finance - Common Scenarios: Background You'll Need - Page 2

    4. Credit Cards: Learn It 1

    5. Credit Cards: Learn It 2

    6. Credit Cards: Learn It 3

    7. Credit Cards: Learn It 4

    8. Credit Cards: Apply It 1

    9. Credit Cards: Apply It 2

    10. Credit Cards: Fresh Take

    11. Cars: Learn It 1

    12. Cars: Learn It 2

    13. Cars: Learn It 3

    14. Cars: Learn It 4

    15. Cars: Learn It 5

    16. Cars: Apply It 1

    17. Cars: Apply It 2

    18. Cars: Fresh Take

    19. Homeownership: Learn It 1

    20. Homeownership: Learn It 2

    21. Homeownership: Learn It 3

    22. Homeownership: Apply It 1

    23. Homeownership: Apply It 2

    24. Homeownership: Fresh Take

    25. Retirement Planning: Learn It 1

    26. Retirement Planning: Learn It 2

    27. Retirement Planning: Learn It 3

    28. Retirement Planning: Learn It 4

    29. Retirement Planning: Learn It 5

    30. Retirement Planning: Learn It 6

    31. Retirement Planning: Apply It 1

    32. Retirement Planning: Apply It 2

    33. Retirement Planning: Fresh Take

    34. Personal Finance - Common Scenarios: Get Stronger

    35. Personal Finance - Common Scenarios: Get Stronger Answer Key

  17. Math in Arts
    1. Math in Arts: Cheat Sheet

    2. Math in Arts: Background You'll Need 1

    3. Math in Arts: Background You'll Need 2

    4. Math in Visual Art: Learn It 1

    5. Math in Visual Art: Learn It 2

    6. Math in Visual Art: Apply It 1

    7. Math in Visual Art: Apply It 2

    8. Math in Visual Art: Fresh Take

    9. Proportion and the Golden Ratio: Learn It 1

    10. Proportion and the Golden Ratio: Learn It 2

    11. Proportion and the Golden Ratio: Learn It 3

    12. Proportion and the Golden Ratio: Apply It 1

    13. Proportion and the Golden Ratio: Apply It 2

    14. Proportion and the Golden Ratio: Fresh Take

    15. Math in Arts: Get Stronger

    16. Math in Arts: Get Stronger Answer Key

  18. Rational and Irrational Numbers
    1. Rational and Irrational Numbers: Cheat Sheet

    2. Rational and Irrational Numbers: Background You’ll Need 1

    3. Rational and Irrational Numbers: Background You’ll Need 2

    4. Rational and Irrational Numbers: Background You’ll Need 3

    5. Classify and Convert Rational Numbers: Learn It 1

    6. Classify and Convert Rational Numbers: Learn It 2

    7. Classify and Convert Rational Numbers: Apply It 1

    8. Classify and Convert Rational Numbers: Apply It 2

    9. Classify and Convert Rational Numbers: Fresh Take

    10. Calculations Involving Rational Numbers: Learn It 1

    11. Calculations Involving Rational Numbers: Learn It 2

    12. Calculations Involving Rational Numbers: Learn It 3

    13. Calculations Involving Rational Numbers: Learn It 4

    14. Calculations Involving Rational Numbers: Learn It 5

    15. Calculations Involving Rational Numbers: Learn It 6

    16. Calculations Involving Rational Numbers: Apply It 1

    17. Calculations Involving Rational Numbers: Apply It 2

    18. Calculations Involving Rational Numbers: Fresh Take

    19. Irrational Numbers: Learn It 1

    20. Irrational Numbers: Learn It 2

    21. Irrational Numbers: Learn It 3

    22. Irrational Numbers: Learn It 4

    23. Irrational Numbers: Apply It 1

    24. Irrational Numbers: Apply It 2

    25. Irrational Numbers: Fresh Take

    26. Real Numbers: Learn It 1

    27. Real Numbers: Learn It 2

    28. Real Numbers: Apply It 1

    29. Real Numbers: Apply It 2

    30. Real Numbers: Fresh Take

    31. Rational and Irrational Numbers: Get Stronger

    32. Rational and Irrational Numbers: Get Stronger Answer Key

  19. Functions
    1. Functions: Cheat Sheet

    2. Functions: Background You'll Need - Page 1

    3. Functions: Background You'll Need - Page 2

    4. Function Basics: Learn It 1

    5. Function Basics: Learn It 2

    6. Function Basics: Learn It 3

    7. Function Basics: Learn It 4

    8. Function Basics: Learn It 5

    9. Function Basics: Learn It 6

    10. Function Basics: Apply It 1

    11. Function Basics: Apply It 2

    12. Function Basics: Fresh Take

    13. Linear Functions: Learn It 1

    14. Linear Functions: Learn It 2

    15. Linear Functions: Learn It 3

    16. Linear Functions: Learn It 4

    17. Linear Functions: Learn It 5

    18. Linear Functions: Apply It 1

    19. Linear Functions: Apply It 2

    20. Linear Functions: Fresh Take

    21. More on Linear Functions: Learn It 1

    22. More on Linear Functions: Learn It 2

    23. More on Linear Functions: Learn It 3

    24. More on Linear Functions: Learn It 4

    25. More on Linear Functions: Learn It 5

    26. More on Linear Functions: Learn It 6

    27. More on Linear Functions: Apply It 1

    28. More on Linear Functions: Apply It 2

    29. More on Linear Functions: Fresh Take

    30. Quadratic Functions: Learn It 1

    31. Quadratic Functions: Learn It 2

    32. Quadratic Functions: Learn It 3

    33. Quadratic Functions: Learn It 4

    34. Quadratic Functions: Learn It 5

    35. Quadratic Functions: Apply It 1

    36. Quadratic Functions: Apply It 2

    37. Quadratic Functions: Fresh Take

    38. Polynomial Functions: Learn It 1

    39. Polynomial Functions: Learn It 2

    40. Polynomial Functions: Learn It 3

    41. Polynomial Functions: Learn It 4

    42. Polynomial Functions: Learn It 5

    43. Polynomial Functions: Learn It 6

    44. Polynomial Functions: Learn It 7

    45. Polynomial Functions: Apply It 1

    46. Polynomial Functions: Apply It 2

    47. Polynomial Functions: Fresh Take

    48. Functions: Get Stronger

    49. Functions: Get Stronger Answer Key

  20. Introduction to Modeling
    1. Introduction to Modeling: Cheat Sheet

    2. Introduction to Modeling: Background You'll Need 1

    3. Introduction to Modeling: Background You'll Need 2

    4. Introduction to Modeling: Background You'll Need 3

    5. Linear and Geometric Growth: Learn It 1

    6. Linear and Geometric Growth: Learn It 2

    7. Linear and Geometric Growth: Learn It 3

    8. Linear and Geometric Growth: Learn It 4

    9. Linear and Geometric Growth: Apply It 1

    10. Linear and Geometric Growth: Apply It 2

    11. Linear and Geometric Growth: Fresh Take

    12. Modeling Basics: Learn It 1

    13. Modeling Basics: Learn It 2

    14. Modeling Basics: Learn It 3

    15. Modeling Basics: Apply It 1

    16. Modeling Basics: Apply It 2

    17. Modeling Basics: Fresh Take

    18. Modeling Linear Growth: Learn It 1

    19. Modeling Linear Growth: Learn It 2

    20. Modeling Linear Growth: Learn It 3

    21. Modeling Linear Growth: Learn It 4

    22. Modeling Linear Growth: Apply It 1

    23. Modeling Linear Growth: Apply It 2

    24. Modeling Linear Growth: Fresh Take

    25. Introduction to Modeling: Get Stronger

    26. Introduction to Modeling: Get Stronger Answer Key

  21. Modeling Complex Scenarios
    1. Modeling Complex Scenarios: Cheat Sheet

    2. Modeling Complex Scenarios: Background You’ll Need 1

    3. Modeling Complex Scenarios: Background You’ll Need 2

    4. Logarithms and Logistic Growth: Learn It 1

    5. Logarithms and Logistic Growth: Learn It 2

    6. Logarithms and Logistic Growth: Learn It 3

    7. Logarithms and Logistic Growth: Learn It 4

    8. Logarithms and Logistic Growth: Apply It 1

    9. Logarithms and Logistic Growth: Apply It 2

    10. Logarithms and Logistic Growth: Fresh Take

    11. Modeling Exponential Growth: Learn It 1

    12. Modeling Exponential Growth: Learn It 2

    13. Modeling Exponential Growth: Apply It 1

    14. Modeling Exponential Growth: Apply It 2

    15. Modeling Exponential Growth: Fresh Take

    16. Modeling Logistic Growth: Learn It 1

    17. Modeling Logistic Growth: Learn It 2

    18. Modeling Logistic Growth: Apply It 1

    19. Modeling Logistic Growth: Apply It 2

    20. Modeling Logistic Growth: Fresh Take

    21. Modeling Complex Scenarios: Get Stronger

    22. Modeling Complex Scenarios: Get Stronger Answer Key

  22. Advanced Data Interpretation
    1. Advanced Data Interpretation: Cheat Sheet

    2. Advanced Data Interpretation: Background You’ll Need 1

    3. Advanced Data Interpretation: Background You’ll Need 2

    4. Complex Graphical Analysis: Learn It 1

    5. Complex Graphical Analysis: Learn It 2

    6. Complex Graphical Analysis: Learn It 3

    7. Complex Graphical Analysis: Learn It 4

    8. Complex Graphical Analysis: Learn It 5

    9. Complex Graphical Analysis: Apply It 1

    10. Complex Graphical Analysis: Apply It 2

    11. Complex Graphical Analysis: Fresh Take

    12. Improve Graphical Displays: Learn It 1

    13. Improve Graphical Displays: Learn It 2

    14. Improve Graphical Displays: Learn It 3

    15. Improve Graphical Displays: Learn It 4

    16. Improve Graphical Displays: Apply It 1

    17. Improve Graphical Displays: Apply It 2

    18. Improve Graphical Displays: Fresh Take

    19. Modeling and Analysis: Learn It 1

    20. Modeling and Analysis: Learn It 2

    21. Modeling and Analysis: Learn It 3

    22. Modeling and Analysis: Learn It 4

    23. Modeling and Analysis: Learn It 5

    24. Modeling and Analysis: Learn It 6

    25. Modeling and Analysis: Learn It 7

    26. Modeling and Analysis: Apply It 1

    27. Modeling and Analysis: Apply It 2

    28. Modeling and Analysis: Fresh Take

    29. Advanced Data Interpretation: Get Stronger

    30. Advanced Data Interpretation: Get Stronger Answer Key

  23. Graph Theory
    1. Graph Theory: Cheat Sheet

    2. Graph Theory: Background You'll Need 1

    3. Graph Theory: Background You'll Need 2

    4. Graph Theory Basics: Learn It 1

    5. Graph Theory Basics: Learn It 2

    6. Graph Theory Basics: Apply It 1

    7. Graph Theory Basics: Apply It 2

    8. Graph Theory Basics: Fresh Take

    9. Euler and Hamiltonian Paths and Circuits: Learn It 1

    10. Euler and Hamiltonian Paths and Circuits: Learn It 2

    11. Euler and Hamiltonian Paths and Circuits: Learn It 3

    12. Euler and Hamiltonian Paths and Circuits: Learn It 4

    13. Euler and Hamiltonian Paths and Circuits: Learn It 5

    14. Euler and Hamiltonian Paths and Circuits: Apply It 1

    15. Euler and Hamiltonian Paths and Circuits: Apply It 2

    16. Euler and Hamiltonian Paths and Circuits: Fresh Take

    17. Graph Theory: Get Stronger

    18. Graph Theory: Get Stronger Answer Key

  24. Math in Politics
    1. Math in Politics: Cheat Sheet

    2. Math in Politics: Background You'll Need 1

    3. Math in Politics: Background You'll Need 2

    4. Voting Theory: Learn It 1

    5. Voting Theory: Learn It 2

    6. Voting Theory: Learn It 3

    7. Voting Theory: Learn It 4

    8. Voting Theory: Learn It 5

    9. Voting Theory: Learn It 6

    10. Voting Theory: Apply It 1

    11. Voting Theory: Apply It 2

    12. Voting Theory: Fresh Take

    13. Apportionment: Learn It 1

    14. Apportionment: Learn It 2

    15. Apportionment: Learn It 3

    16. Apportionment: Learn It 4

    17. Apportionment: Learn It 5

    18. Apportionment: Learn It 6

    19. Apportionment: Learn It 7

    20. Apportionment: Apply It 1

    21. Apportionment: Apply It 2

    22. Apportionment: Fresh Take

    23. Weighted Voting: Learn It 1

    24. Weighted Voting: Learn It 2

    25. Weighted Voting: Learn It 3

    26. Weighted Voting: Learn It 4

    27. Weighted Voting: Apply It 1

    28. Weighted Voting: Apply It 2

    29. Weighted Voting: Fresh Take

    30. Math in Politics: Get Stronger

    31. Math in Politics: Get Stronger Answer Key

  25. Math in Arts - Common Scenarios
    1. Math in Arts - Common Scenarios: Cheat Sheet

    2. Math in Arts - Common Scenarios: Background You'll Need 1

    3. Math in Arts - Common Scenarios: Background You'll Need 2

    4. Math in Music: Learn It 1

    5. Math in Music: Learn It 2

    6. Math in Music: Learn It 3

    7. Math in Music: Apply It 1

    8. Math in Music: Apply It 2

    9. Math in Music: Fresh Take

    10. Math in Literature: Learn It 1

    11. Math in Literature: Learn It 2

    12. Math in Literature: Learn It 3

    13. Math in Literature: Apply It 1

    14. Math in Literature: Apply It 2

    15. Math in Literature: Fresh Take

    16. Math in Arts - Common Scenarios: Get Stronger

    17. Math in Arts - Common Scenarios: Get Stronger Answer Key

  26. Math in Business
    1. Math in Business: Cheat Sheet

    2. Math in Business: Background You'll Need 1

    3. Math in Business: Background You'll Need 2

    4. Introduction to Business Math: Learn It 1

    5. Introduction to Business Math: Learn It 2

    6. Introduction to Business Math: Learn It 3

    7. Introduction to Business Math: Apply It 1

    8. Introduction to Business Math: Apply It 2

    9. Introduction to Business Math: Fresh Take

    10. Finance and Accounting: Learn It 1

    11. Finance and Accounting: Learn It 2

    12. Finance and Accounting: Learn It 3

    13. Finance and Accounting: Learn It 4

    14. Finance and Accounting: Apply It 1

    15. Finance and Accounting: Apply It 2

    16. Finance and Accounting: Fresh Take

    17. Marketing and Sales: Learn It 1

    18. Marketing and Sales: Learn It 2

    19. Marketing and Sales: Learn It 3

    20. Marketing and Sales: Apply It 1

    21. Marketing and Sales: Apply It 2

    22. Marketing and Sales: Fresh Take

    23. Operations and Supply Chain: Learn It 1

    24. Operations and Supply Chain: Learn It 2

    25. Operations and Supply Chain: Learn It 3

    26. Operations and Supply Chain: Learn It 4

    27. Operations and Supply Chain: Apply It 1

    28. Operations and Supply Chain: Apply It 2

    29. Operations and Supply Chain: Fresh Take

    30. Freelancing: Learn It 1

    31. Freelancing: Learn It 2

    32. Freelancing: Learn It 3

    33. Freelancing: Apply It 1

    34. Freelancing: Apply It 2

    35. Freelancing: Fresh Take

    36. Math in Business: Get Stronger

    37. Math in Business: Get Stronger Answer Key

  27. Appendix

  28. Glossary of Terms

Students: Additional Lumen Resources

A student using a magnifying glass to get a closer look at the details in a data visualization.Welcome, students!

Here, you’ll find links to resources to support your learning in this course.

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Alphabetical Glossary

Cheat Sheets

Essential concepts and a glossary for each module.

General Problem Solving
Set Theory and Logic
Historical Counting Systems
Whole Numbers and Integers
Numbers and Their Applications
Measurement
Geometry
Cryptography
Fractals
Data Organization
Probability
Statistics
Personal Finance
Personal Finance – Common Scenarios
Math in Arts
Rational and Irrational Numbers
Functions
Introduction to Modeling
Modeling Complex Scenarios
Advanced Data Interpretation
Graph Theory
Math in Politics
Math in Arts – Common Scenarios
Math in Business

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