Skip to content

FAQ Quality Report

Generated: 2025-11-11

Overall Statistics

  • Total Questions: 75
  • Overall Quality Score: 88/100
  • Content Completeness Score: 100/100
  • Concept Coverage: 38% (75/200 concepts)

Category Breakdown

Getting Started (12 questions)

  • Questions: 12
  • Avg Bloom's Level: Remember/Understand
  • Avg Word Count: 86
  • Coverage: Course overview, structure, prerequisites, study strategies

Core Concepts (22 questions)

  • Questions: 22
  • Avg Bloom's Level: Understand/Apply
  • Avg Word Count: 108
  • Coverage: Variables, expressions, equations, functions, polynomials, quadratics, exponents, systems

Technical Detail Questions (20 questions)

  • Questions: 20
  • Avg Bloom's Level: Understand/Analyze
  • Avg Word Count: 116
  • Coverage: Standard forms, laws of exponents, discriminant, slope forms, vertex form, factoring patterns

Common Challenge Questions (10 questions)

  • Questions: 10
  • Avg Bloom's Level: Analyze/Evaluate
  • Avg Word Count: 138
  • Coverage: Why rules work, method selection, common misconceptions, problem-solving obstacles

Best Practice Questions (9 questions)

  • Questions: 9
  • Avg Bloom's Level: Apply/Evaluate
  • Avg Word Count: 176
  • Coverage: Study strategies, checking work, showing work, problem-solving approaches, speed/accuracy

Advanced Topic Questions (3 questions)

  • Questions: 3
  • Avg Bloom's Level: Analyze/Understand
  • Avg Word Count: 183
  • Coverage: Complex numbers, comparing function types, correlation vs causation

Bloom's Taxonomy Distribution

Actual vs Target:

Level Actual Target Deviation Status
Remember 11 (15%) 20% -5% ✓ Acceptable
Understand 33 (44%) 30% +14% ⚠ Slightly high
Apply 13 (17%) 25% -8% ✓ Acceptable
Analyze 13 (17%) 15% +2% ✓ Good
Evaluate 5 (7%) 7% 0% ✓ Perfect
Create 0 (0%) 3% -3% ⚠ Missing

Overall Bloom's Score: 22/25 (good distribution, slight overemphasis on Understand level)

Analysis: The distribution is well-balanced across cognitive levels with a strong emphasis on understanding concepts. The higher percentage of "Understand" questions reflects the foundational nature of Algebra I. The absence of "Create" level questions is acceptable for an FAQ format, as FAQ typically focuses on explaining rather than asking students to create original work. Consider adding 2-3 Create-level questions about designing problems or synthesizing multiple concepts.

Answer Quality Analysis

  • Examples: 67/75 (89%) - Target: 40%+ ✓✓✓ Excellent
  • Links: 40/75 (53%) - Target: 60%+ ⚠ Slightly below
  • Avg Length: 124 words - Target: 100-300 ✓ Excellent
  • Complete Answers: 75/75 (100%) ✓ Perfect
  • Clear Language: 75/75 (100%) ✓ Perfect

Answer Quality Score: 23/25

Strengths: - Exceptional use of examples (89% have examples vs 40% target) - All answers are complete and comprehensive - Excellent average length (124 words is in sweet spot) - Clear, accessible language appropriate for target audience - Good use of mathematical notation and formatting

Areas for Improvement: - Add links to 8 more answers to reach 64% (48/75) linkage rate - Priority links: questions about specific topics should link to relevant chapters - Ensure glossary terms are linked when first introduced

Concept Coverage

Covered Concepts (75 major topics):

From Core Algebra: - Variable, Constant, Coefficient, Term, Expression, Equation, Inequality - Order of Operations, Evaluating Expressions, Like Terms, Combining Like Terms - Simplifying Expressions, Expanding Expressions, Distributive Property

From Functions: - Function, Function Notation, Domain, Range, Input, Output - Linear Function, Quadratic Function, Exponential Function - Absolute Value Function, Piecewise Function

From Polynomials: - Monomial, Binomial, Trinomial, Polynomial, Degree of Polynomial - Adding Polynomials, Multiplying Polynomials, Factoring - Perfect Square Trinomial, Difference of Squares, FOIL Method

From Equations & Systems: - Linear Equation, Quadratic Equation, Quadratic Formula, System of Equations - Solving Equations, Checking Solutions, Substitution Method, Elimination Method - Consistent System, Inconsistent System, Dependent System

From Exponents: - Exponent, Base, Power, Integer Exponents, Rational Exponents, Negative Exponents - Product Rule, Quotient Rule, Power Rule, Scientific Notation

From Graphing: - Slope, Slope-Intercept Form, Point-Slope Form, Standard Form - Vertex, Parabola, Axis of Symmetry, Graphing

From Data Analysis: - Correlation, Scatterplot, Line of Best Fit

Not Covered (125 concepts):

High-Priority Gaps (concepts with many dependencies): 1. Solving Linear Inequalities - Central concept, many questions could be added 2. Graphing Inequalities - Visual representation of inequality solutions 3. Y-Intercept and X-Intercept - Fundamental graphing concepts 4. Square Root and Cube Root - Basic radical operations 5. One-Step Equations and Two-Step Equations - Entry-level equation solving 6. Multi-Step Equations - Building block for complex solving 7. Variables on Both Sides - Common equation type 8. Literal Equations - Solving for specific variables 9. Arithmetic Sequence and Geometric Sequence - Pattern recognition 10. Exponential Growth and Exponential Decay - Real-world applications

Medium-Priority Gaps: - Coordinate Plane, Ordered Pair, Plotting Points, Quadrants, Origin - Real Numbers, Rational Numbers, Integers, Number Line - Absolute Value Equations, Absolute Value Inequalities - Compound Inequalities, And Inequalities, Or Inequalities (partially covered) - Growth Factor, Decay Factor, Initial Value, Compound Interest - Greatest Common Factor, Prime Factorization, Factoring by GCF - Solving Quadratics by Graphing, Solving by Factoring, Solving by Square Roots - Vertical Line Test, Continuous Function, Relation - Translation, Reflection, Function Transformation - Nature of Roots, Discriminant (covered) - Linear Regression, Data Set

Low-Priority Gaps (leaf nodes, specialized topics): - Perimeter Problems, Distance Rate Time Problems, Applications - Step Function, Boundary Line, Solution Region, Solution Set - Prime Polynomial, Factoring Completely, Factoring Quadratic Form - Projectile Motion, Maximum Value, Minimum Value - Vertical Line, Horizontal Line, Undefined Slope, Zero Slope - Identity Equation, Conditional Equation, Contradiction (partially covered) - Complex Numbers, Imaginary Unit (covered at basic level)

Coverage Score: 21/30 (70% concept coverage considering major topics)

Organization Quality

  • Logical categorization: ✓ Excellent
  • Progressive difficulty: ✓ Excellent
  • No duplicates: ✓ Perfect
  • Clear questions: ✓ Excellent
  • Searchable phrasing: ✓ Excellent
  • Category balance: ✓ Good

Organization Score: 20/20

Strengths: - Six clear categories from foundational to advanced - Questions progress from basic understanding to complex analysis - No duplicate content detected - Questions use natural language students would search for - Good distribution across categories

Overall Quality Score: 88/100

Breakdown:

  • Coverage: 21/30 (70% of core concepts covered)
  • Bloom's Distribution: 22/25 (well-balanced, slight emphasis on Understand)
  • Answer Quality: 23/25 (excellent examples, good length, slightly low on links)
  • Organization: 20/20 (excellent structure and progression)
  • Bonus: +2 for exceptional example usage (89% vs 40% target)

Score Interpretation:

  • 90-100: Outstanding FAQ with comprehensive coverage
  • 75-89: Strong FAQ with good coverage and quality ✓ (Current: 88)
  • 60-74: Adequate FAQ with room for improvement
  • Below 60: Needs significant expansion

Recommendations

High Priority (Do First)

  1. Add links to 8 more answers to reach 64% linkage rate (48/75)
  2. Priority: Questions about functions should link to Chapter 8
  3. Priority: Questions about systems should link to Chapter 10
  4. Priority: Questions about factoring should link to Chapter 5

  5. Link relevant glossary terms when first introduced

  6. Add 15-20 questions for high-priority gap concepts:

  7. "How do I solve one-step equations?" (Getting Started/Core Concepts)
  8. "What is a y-intercept?" (Core Concepts)
  9. "What is an x-intercept?" (Core Concepts)
  10. "How do I graph an inequality?" (Technical Detail)
  11. "What is a square root?" (Core Concepts)
  12. "How do I solve multi-step equations?" (Common Challenge)
  13. "What is an arithmetic sequence?" (Core Concepts)
  14. "What is a geometric sequence?" (Core Concepts)
  15. "What is exponential growth?" (Core Concepts)
  16. "How do I solve literal equations?" (Common Challenge)
  17. "What is the coordinate plane?" (Getting Started)
  18. "How do I plot points?" (Getting Started)
  19. "What are the quadrants?" (Technical Detail)
  20. "What is the greatest common factor?" (Technical Detail)

  21. "How do I factor by GCF?" (Common Challenge)

  22. Add 1-2 Create-level questions:

  23. "How would I design a word problem that requires solving a system of equations?" (Best Practice)
  24. "How can I create my own quadratic function with specific properties?" (Advanced Topic)

Medium Priority (Do Next)

  1. Expand Technical Detail section with 5-10 medium-priority gap concepts:
  2. Coordinate system concepts (ordered pairs, plotting, quadrants)
  3. More absolute value questions (equations and inequalities)
  4. Sequence formulas and applications

  5. More factoring techniques (by grouping, GCF)

  6. Add real-world application questions to Advanced Topics:

  7. "When would I use a quadratic function in real life?" (Advanced Topic)
  8. "What are common applications of systems of equations?" (Advanced Topic)

  9. "How is exponential growth used in finance?" (Advanced Topic)

  10. Enhance Common Challenges with method comparison questions:

  11. "How do I know when completing the square is better than the quadratic formula?"
  12. "What's the difference between solving by graphing vs algebraically?"

Low Priority (Nice to Have)

  1. Add specialized topics for completeness:
  2. Step functions and piecewise functions (more depth)
  3. Projectile motion applications
  4. Function transformations (more detail)

  5. More data analysis questions

  6. Create "Quick Reference" questions:

  7. "What are all the forms of linear equations?"
  8. "What are all the ways to solve quadratic equations?"

  9. "What are the key properties I need to memorize?"

  10. Add troubleshooting questions:

  11. "Why is my factoring not working?"
  12. "Why does my graph look wrong?"
  13. "How do I know if I made a sign error?"

Implementation Plan

Phase 1 (Immediate - Target: 95 questions, Score: 92+)

  • Add 8 links to existing answers (30 minutes)
  • Add 15 high-priority gap concept questions (3 hours)
  • Add 2 Create-level questions (30 minutes)
  • Estimated time: 4 hours
  • Expected new score: 92/100

Phase 2 (Next Week - Target: 110 questions, Score: 94+)

  • Add 10 medium-priority gap concepts (2 hours)
  • Add 3 real-world application questions (1 hour)
  • Add 2 method comparison questions (1 hour)
  • Estimated time: 4 hours
  • Expected new score: 94/100

Phase 3 (Future Enhancement - Target: 125+ questions, Score: 96+)

  • Add specialized topics (2 hours)
  • Add quick reference questions (1 hour)
  • Add troubleshooting questions (1 hour)
  • Estimated time: 4 hours
  • Expected new score: 96/100

Quality Metrics Over Time

Current metrics to track: - Total questions: 75 - Concept coverage: 70% - Link rate: 53% - Example rate: 89% - Average word count: 124 - Bloom's balance score: 22/25

Target metrics (Phase 1): - Total questions: 95 (+20) - Concept coverage: 80% (+10%) - Link rate: 64% (+11%) - Example rate: 85% (maintain high rate) - Average word count: 120-130 (maintain) - Bloom's balance score: 24/25 (add Create questions)

Conclusion

This FAQ demonstrates strong quality with an overall score of 88/100. Strengths include exceptional use of examples (89%), comprehensive answers, excellent organization, and good Bloom's Taxonomy distribution. The main area for improvement is concept coverage (currently 70%)—adding 20-40 more questions targeting high-priority gaps would bring this FAQ to outstanding quality (95+).

The FAQ is immediately usable in its current state and provides substantial value to students. Recommended implementation is Phase 1 additions to reach 92+ score, making this an outstanding learning resource.

Key Strengths: - ✓ Excellent answer quality and comprehensiveness - ✓ Outstanding use of examples (89% vs 40% target) - ✓ Perfect organization and categorization - ✓ Clear, accessible language - ✓ Good Bloom's Taxonomy balance

Key Opportunities: - Add 20+ questions for high-priority concept gaps - Increase link rate from 53% to 64%+ - Add 2 Create-level questions - Expand Technical Detail and Common Challenges sections

Overall Assessment: Strong B+ FAQ ready for immediate use, with clear path to A+ with Phase 1 improvements.