Original Prompthelp me create a daily warm up and exit ticket packet that follows this pacing "A
Thur 09/17
B
Mon 09/21" " Sec. 3-1 & 3-2
(Conjectures and Counterexamples, Statements, Conditionals, and Biconditionals)" "I can make conjectures based on patterns and provide counterexamples to disprove false statements. I can write conditional, converse, inverse, and contrapositive statements and determine their truth values.
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"A
Tue 09/22
B
Wed 09/23" "Sec 3-3
(Deductive Reasoning)
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Build
This unit focuses on various aspects of logic and proof in mathematics. Students will learn to construct logical arguments and justify geometric relationships through formal two-column proofs. The unit is structured around explicit goals, such as identifying patterns in sequences, providing counterexamples to disprove conjectures, and rewriting statements in different logical forms. Specific techniques, including the Law of Detachment and Syllogism, will also be explored to develop valid conclusions from conditional statements. The lessons encompass algebraic proofs, geometric proofs, and the relationships between angles, allowing students to apply properties of equality and geometric theorems. The unit aims to synthesize students' understanding of logic and proof, enabling them to complete mixed proofs effectively.