Inequality Explorer - Interactive Algebra Lesson

🎮 What It Is: A gamified HTML learning resource teaching the 5 core rules of algebraic inequalities through interactive challenges. Students master when to flip the inequality sign, how to justify proof steps, and why the math works, not just how to follow procedures.

📐 What Students Learn:

• The 5 fundamental inequality rules (add/subtract, multiply/divide, the flip rule, transitivity, bonus rules)
• When and why to reverse the inequality symbol (visual number line proof)
• Logical ordering in algebraic proofs
• Solving multi-step inequalities with justification
• Difference between equations (one answer) and inequalities (infinite solutions)

🎯 Five Interactive Modes:

1. The 5 Rules (Instruction)

• Accordion-style lessons with clear explanations
• Visual number line demonstration of the flip rule
• Real examples showing 2 < 5 becoming -5 < -2 when multiplied by -1
• Rule 1: Add/subtract (direction stays same)
• Rule 2: Multiply/divide by positive (direction stays same)
• Rule 3: Multiply/divide by negative (FLIP the sign)
• Rule 4: Transitivity (chain rule)
• Bonus rules: reciprocals, absolute value, squaring

2. Proof Builder (Drag & Drop)

• Arrange scrambled proof steps in correct logical order
• Examples: "If -3x > 12 then x < -4" with justifications
• Instant feedback on correct sequencing
• Multiple challenges with increasing difficulty
• Teaches proper mathematical reasoning

3. Maze Runner (Interactive Puzzle)

• Visual puzzle where students navigate by solving inequalities
• Wrong steps lead to dead ends with instant feedback
• Example: "Solve: -2x + 7 < 1" - choose the right path or hit a wall
• Multiple levels with increasing complexity
• Gamified practice with consequence-based learning

4. Card Match (Memory Game)

• Match rules to their justifications
• Flip cards to find pairs
• "Multiply/Divide by Negative" pairs with "Flip Inequality Sign"
• Builds automatic recall through repetition
• Visual tracking of matched pairs

5. Logic Puzzle (Snap & Connect)

• Connect proof pieces that logically follow each other
• Pieces only snap together if mathematically valid
• Forces students to think about legal algebraic moves
• Reinforces proper proof structure

✅ Engagement Features:

• Global score tracker with points for correct answers
• Animated feedback for right and wrong choices
• Mission Brief explaining learning goals upfront
• Clean, modern interface designed for teens
• No boring worksheets—pure interactive practice

📚 Built-in Teacher Resources:

• Lesson plan modal with suggested 45-minute flow
• Learning objectives clearly stated

💻 How to Use: Download → Open in browser → Students explore at their own pace No accounts, no internet needed after download, works on most devices.

Perfect for Algebra 1, pre-algebra review, or intervention.