Lesson 14 of 20 · Logic & Reasoning
ChallengeintermediateInversion Thinking
What You'll Learn
Key Concept: Solving problems backwards
Think About This
You're designing a solution to a real problem at school that involves solving problems backwards. Walk through your thinking process step by step.
Thinking Steps
Define
State the problem or question about solving problems backwards in your own words. Be specific.
Investigate
What evidence or information is available? What might be missing?
Consider Angles
Look at this from at least two perspectives. What would someone who disagrees say?
Reason It Out
Connect evidence to your conclusion: 'The evidence shows X, which means Y, because Z.'
Test Your Thinking
Could you be wrong? What evidence would change your mind? Rate your confidence 1-10.
Reflect & Connect
What thinking skill did you use? How could you apply this to something in your real life?
Key Vocabulary
Hypothesis
A testable prediction based on evidence
Deduction
Using general rules to reach a specific conclusion
Fallacy
A mistake in reasoning that makes an argument flawed
Why This Matters in Real Life
Lawyers build logical arguments in court. Engineers use logic to design safe bridges. Programmers use it to write code. Logic is everywhere!
Talk About It
Discuss these questions with a friend, parent, or classmate.
- 1Give a real-world example where solving problems backwards would help you make a better decision.
- 2What's the most common mistake people make with this kind of thinking?
- 3How does this thinking skill connect to other subjects you study in school?
- 4If you had to teach this to a younger student, what's the ONE thing you'd make sure they understood?
Check Your Understanding
Question 1
1 of 3What is the main idea of solving problems backwards?
