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How can mathematical reasoning be used to present views persuasively?
Why are people who cannot think well excluded from the opportunity structure in America's economy?
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Student Learning Map
- Topic:Logic Theory (throughout course)
- Subject(s):Math
- Days:180
- Grade(s):8, 9
Key Learning:
Sound mathematical reasoning and thought is necessary to master intellectually demanding concepts, analyze propositions accurately, make better decisions, and persuade others to a point of view.
Unit Essential Question(s):
Concept: Inductive and Deductive Reasoning Concept: Logical Deductions Concept: Counterexamples Lesson Essential Question(s):What are the simple aspects of a logical argument? (A)What are the similarities and differences between inductive and deductive reasoning? (A)What are the similarities and differences between inductive and deductive reasoning? (ET)Lesson Essential Question(s):How can identifying the hypothesis and conclusion in logical deductions be useful in making decisions in situations? (A)How can identifying the hypothesis and conclusion in logical deductions be useful in making decisions in situations? (ET)Lesson Essential Question(s):Why are counterexamples useful when arguing a conjecture? (A)Why are counterexamples useful when arguing a conjecture? (ET)Concept: Validity of Arguments Concept: ___OBJECTIVES___5___Concept: ___OBJECTIVES___6___Lesson Essential Question(s):What are the mathematical thought processes in judging the validity of arguments conducted and why is it useful to follow these procedures? (A)What are the mathematical thought processes in judging the validity of arguments conducted and why is it useful to follow these procedures? (ET)Lesson Essential Question(s):Lesson Essential Question(s):
Additional Info:
These concepts are to be emphasized throughtout the Algebra 1 Honors course. (These concepts are not required for the regular Algebra 1 course.)
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. What are the simple aspects of a logical argument?2. How can identifying the hypothesis and conclusion in logical deductions be useful in making decisions in situations?3. Why are counterexamples useful when arguing a conjecture?4. What are the mathematical thought processes in judging the validity of arguments conducted and why is it useful to follow these procedures?5. What are the similarities and differences between inductive and deductive reasoning?Extended Thinking Lesson(s):
1. How can identifying the hypothesis and conclusion in logical deductions be useful in making decisions in situations?2. Why are counterexamples useful when arguing a conjecture?3. What are the mathematical thought processes in judging the validity of arguments conducted and why is it useful to follow these procedures?4. What are the similarities and differences between inductive and deductive reasoning?