Module 9 - Mathematical Reasoning

Activity 1 : : Activity 2 : : Activity 3 : : Activity 4 : : Activity 5

In this module, you will continue to learn about deductive and logical reasoning.  You will also be able to develop formal two column and paragraph proofs.  This learning will enable you to develop higher level thinking that will assist you in your instruction.

Activity 1:  Key Terms & Definitions

• Triangle theorems and postulates:  AAS, ASA, SAS, SSS, Hypotenuse Leg
• Perpendicular lines
• Segment bisector, Angle bisector
• Reflexive Property of Congruence, Corresponding Parts of Congruent Triangles  are Congruent (CPCTC) 

In your notebook for IS Math, continue your glossary section for quick reference. 

Resources:

• MyMathLab Complete Steps 1-4 in Module 9 on Mathematical Reasoning.

• All students should go to the community and participate in the exercises of the week.

Supplemental Resources: 

• This site is by the Teaching Company and you can scroll down to the triangle section  to find information on triangle congruence: http://teachingcompany.bravehost.com/Theorems.html
• The Regents math site has excellent demonstrations of simple triangle congruence proofs:  http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm
• This math dictionary for kids by Jenny Eather illustrates easy, interactive examples:  www.teachers.ash.org.au/jeather/maths/dictionary.html
• This is a site by Bruce Simmons, and you can access terms alphabetically: http://www.mathwords.com/a.htm

 Other helpful websites:

• http://www.mathopenref.com/anglecomplementary.html
• http://www.mathopenref.com/trapezoidarea.html
• http://www.mathopenref.com/anglesvertical.html
• http://www.mathopenref.com/circlearea.html
• http://www.mathopenref.com/triangleinternalangles.html
• http://www.mathopenref.com/keywordindices/line.html