🔄 Create Ramp-Up Exercises

What This Tool Does

This tool creates a structured sequence of exercises that progressively build in difficulty, guiding a student from their current understanding level to being able to solve a specific target exercise. Think of it as creating a personalized "staircase" of problems that gradually prepare the student for success on a challenging exercise. Check out a sample here.

Input Fields Guide

Essential Information

📝 Exercise

• What to input: The target exercise that you want the student to eventually be able to solve (e.g., "Solve the equation: 2x + 5 = 13", "Find the area of a trapezoid with bases 8cm and 12cm and height 5cm")

• How it influences the result: This is the final destination of your scaffolding sequence and determines the concepts and skills the ramp-up exercises will build toward

📊 Entry Level

• What to input: The student's current knowledge level related to this type of problem

• How it influences the result:

  • Lower entry levels will generate more steps with smaller increments in difficulty

  • Higher entry levels will result in fewer steps potentially with larger difficulty jumps

  • Directly affects the starting point difficulty and the number of intermediate exercises

Context Settings

🧩 Preparation Context (Optional)

• What to input: Choose the specific learning situation from the provided options

• How it influences the result: Dramatically shapes the type of scaffolding provided:

  • Scaffold Within a Lesson: Creates supportive materials with additional structure, hints, and guiding questions for immediate classroom use for the one target exercise

  • Build Conceptual Understanding: Focuses on developing deep comprehension of underlying mathematical concepts with "why" questions and potentially different representations

  • Long Term Preparation For An Exam: Balances procedural fluency with conceptual understanding for comprehensive exam readiness

  • Short Term Preparation For An Exam: Emphasizes procedural fluency and key fact memorization for last-minute exam preparation

  • Preparation For A Contest: Develops strategic thinking and pattern recognition for competition-style problems

What You'll Get

After submitting your inputs, you'll receive a carefully sequenced set of exercises that:

1. Start at the student's current level of understanding

2. Progress in manageable steps toward the target exercise

3. Are tailored to your specific preparation context (classroom scaffolding, exam prep, etc.)

4. Include appropriate hints, visualizations, or explanations based on the context

5. Build both skills and confidence progressively

The scaffold might include:

• Simplified versions of the target problem

• Problems focusing on prerequisite skills

• Visual representations when helpful

• Strategic hints at appropriate points

• Clear connections between each step in the sequence

This personalized exercise sequence ensures students can experience success at each stage while steadily building toward mastery of the target exercise.

Note that visualizations are always included in text form as descriptions of the planned visuals. These visualizations must be generated or found in a separate step.