Mathematical System-defined and undefined terms.pptx

Mathematical System
Mathematical System
Mathematical System
Mathematical System
Mathematical SystemMathematical System
Mathematical System

1. Learning Competency: illustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular: (a) defined terms; (b) undefined terms; (c) postulates; and (d) theorems.

2. Objectives: illustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular: (a) defined terms (b) undefined terms

3. Activity 1: Identify Me! Determine whether the object is a point, line, or plane.

4. Answers

5. Activity 2: Tell Me!

6. Check your answer

7. UNDEFINED TERMS

8. UNDEFINED TERMS

9. UN DEFINED TERMS

10. DEFINED TERMS

11. DEFINED TERMS

12. Activity 3: Name Me!

13. Answers

14. Individual Work

15. Answer

16. Activity 4

17. Answers

18. Theorem

19. Theorem

20. Theorem

21. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: Through any three non- collinear points, there is exactly one plane. ( Postulate 4)

22. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: Through any two points there is exactly one line ( Postulate 3)

23. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: If two points lie in the plane, then the line joining them lies in that plane. (Postulate 5)

24. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: If two planes intersect, then their intersection is a line. (Postulate 6)

25. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: A line contains at least two points. (Postulate 1)

26. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: If two lines intersect, then exactly one plane contains both lines. (Theorem3)

27. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: If a point lies outside a line, then exactly one plane contains both the line and the point. (Theorem2)

28. Test yourself! State the postulate or theorem you would use to justify the statement made about each figure. Answer: If two lines intersect, then they intersect in exactly one point. (Theorem1)

29. Activity 1: AGREE OR DISAGREE

30. Answers

31. Activity 2: Answer Me Please!

32. Answers