3. Student Learning Map

  • Topic:02. Reasoning (Chapter 2)
  • Subject(s):Math
  • Days:13
  • Grade(s):9, 10
Key Learning:

Mathematical reasoning concepts are used to make conclusions in algebra, geometry, and real-world situations.

Unit Essential Question(s):
 
 
What are the key elements of reasoning?
   
Concept:

Logic and Truth Tables

PH: 2.1, 2.2, 2.3, 5.4

MCD: 2.1, 3.6, 6.2, 6.3, pp. 644-647

Concept:

Reasoning in Algebra

PH: 2.4

MCD: 2.2, 2.3

Concept:

Proving Angles Congruent

PH: 2.5

MCD: 2.4, 2.6

Lesson Essential Question(s):

How is logical reasoning used in geometry?

(A)
Lesson Essential Question(s):

How is reasoning used to construct a formal algebraic proof?

(A)
Lesson Essential Question(s):

How can angle relationships be identified, solved and proved? (A)

(ET)
Additional Information:

Prentice Hall Geometry Textbook (2.1-2.5, 5.4)

Geometry (McDougal/Littell-Jergensen/Brown/Jergensen) Textbook Chapter 2 (2.1-2.4, 2.6), Chapter 3 (3.6), Chapter 6 (6.2, 6.3) and Supplemental Materials pgs.644-647

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Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • conditional -
  • vertical angles -
  • reflexive property -
  • symmetric property -
  • hypothesis -
  • adjacent angles -
  • complementary angles -
  • transitive property -
  • conclusion -
  • truth value -
  • supplementary angles -
  • converse -
  • linear pair -
  • theorem -
  • biconditional -
  • negation -
  • paragraph proof -
  • inverse -
  • contrapositive -
  • equivalent statements -
  • indirect reasoning -
  • indirect proof -
  • Law of Detachment -

  • Law of Syllogism -
  • deductive reasoning -