Proof Jeopardy

Proof Jeopardy

Conditionals Algebraic Proofs Geometric Proofs Postulates Properties Theorems Definitions 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400

Question: Another name for an “if-then” statement is… Answer: Conditional Statement 100

Question: Everything after the word if is called the ____________, and everything after the word then is called the _____________. Answer: Hypothesis; Conclusion 200

Question: Turn the following statement into a conditional: All CD’s are round. Answer: If it is a CD, then it is round. 300

Question: What is the converse of the following statement: If Susan wins Proofs Jeopardy, then she will make an A on my test. Is the converse true or false? If false, state a counterexample. Answer: If Susan makes an A on my test, then she won Proofs Jeopardy. False Susan makes an A, but did not win Jeopardy. 400

Question: Name 5 properties that might be used as reasons in an Algebraic Proof. Answer: Choose 5: Addition Property of Equality, Subtraction P.O.E., Multiplication P.O.E., Division P.O.E., Distributive P.O.E., Symmetric P.O.E., Reflexive P.O.E., Substitution P.O.E., Transitive P.O.E. 100

Question: What are the next statement and reason for the following proof: Answer: Statement: Reason: 200

Question: List all corrections needed for the following proof: . • Answer: • #2 statement and reason should be taken out • Reason #3 should be Distributive Property of Equality (written out) • Statement #4 should be • Statement #5 should be • Add in #6 statement: , and #6 reason: Symmetric P.O.E. 300

Question: Write either a flowchart or 2-column proof for the following: Answer: Multiplication Property of Equality Given Addition P.O.E. Symmetric P.O.E. 400

Question: Identify the next reason for the following proof Answer: Definition of Congruent Angles 100

Question: Fill in the following 2-column proof Answers: See answers above. 200

Question: Make corrections to the following proof. Answers: See answers above. 300

Question: Write a 2-column or flowchart proof for the following Answer: 400

Question: Identify the postulate, property, theorem, or definition that best fits Answer: Multiplication Property of Equality 100

Question: Identify the postulate, property, theorem, or definition that best fits Answer: Transitive Property of Equality 200

Question: Identify the reasons that best fit Answer: Given Linear Pairs are Supplementary Definition of Supplementary Angles 300

Question: Given the following information, what postulate, property, theorem and you most likely going to use. Answer: Segment Addition Postulate 400

Proof Jeopardy

Proof Jeopardy

Presentation Transcript

Proof Systems

Geometric Proof

Proof-reading

Cincinnati’s Proof

Proof

The Proof

The Proof

Proof

PROOF

PROOF

BURDEN OF PROOF STANDARD OF PROOF

Location Proof

Proof

Proof

Proof techniques

PROOF WEAVING

Mathematical Proof

PROOF

Proof Clustering for Proof Plans

Proof Methods

Algebraic Proof