GEOM.MATH.4.C
Verify that a conjecture is false using a counterexample.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
conjecturecounterexample
Skills
- verify (the truth of a conjecture) #dok3
- identify (counterexamples that disprove conjectures) #dok2
- explain (why a counterexample disproves a conjecture) #dok3
Learning Targets
- I can define conjecture and counterexample in mathematical terms. #dok1
- I can recognize when a statement is a conjecture. #dok1
- I can identify valid counterexamples to prove a conjecture is false. #dok2
- I can explain why a counterexample disproves a conjecture. #dok3
- I can construct counterexamples to refute conjectures. #dok3
Big Ideas
- A single counterexample is sufficient to prove that a conjecture is false.
- Identifying and constructing counterexamples helps develop logical thinking and critical analysis in mathematics.
Essential Questions
- What is a conjecture, and how is it used in mathematics?
- How can a single counterexample disprove a conjecture?
- Why is finding counterexamples important in mathematics?
- What strategies can be used to construct counterexamples to a conjecture?
- How do counterexamples reinforce the importance of precise reasoning in mathematics?