1. Thinking Geometrically: Using Proofs
Geometry Chapter 2
Thinking Geometrically: Using Proofs

2. Chapter 2, Lesson 1: SWBAT
Identify the hypothesis and the conclusions of a conditional
Write converse (inverse and contrapositive) conditionals

3. Chapter 2 Lesson 1: If … then statements

4. Chapter 2, Lesson 1: SWBAT
Identify the hypothesis and the conclusions of a conditional
Write converse (inverse and contrapositive) conditionals
Workbook Activities 9-10 Chapter 2: Lesson 1

5. Chapter 2 Lesson 2: Euclid's Five Postulates The foundation for plane geometry
SWBAT:
Identify postulates
Construct geometric lines and shapes based on postulates

6. Euclid's Postulates 1. A straight line segment can be drawn joining any two points.
Euclid's Postulates 2. Any straight line segment can be extended indefinitely, to form a straight line.
Chapter 2: Lesson 2
Workbook Activity 11

7. Euclid's Five Postulates (continue)
Chapter 2: Lesson 2
Workbook Activity 12

8. Euclid's Postulates 5: If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. The converse is also assumed, although not stated directly.
If the inner angles are 180° or more the lines do not meet on that side. Parallel lines never meet, hence the angles on either side sum to 180°.
Chapter 2: Lesson 2
Workbook Activity 11

9. A Euclid's Postulates Song

10. Chapter 2, Lesson 3 Using Euclid's Postulates (workbook Activity 13-14)

11. Chapter 2, Lesson 3
SWBAT:
Identify postulates
Construct geometric lines and shapes based on postulates

12. Chapter 2, Lesson 4: Axiom or Common Notions
SWBAT: Identify and use axiom to solve algebraic and geometric problems

13. Chapter 2, Lesson 4: Axiom or Common Notions
Workbook Activity 15
Workbook Activity 16

14. Chapter 2, Lesson 4 Theorem (Workbook Activity 17)

15. Chapter 2, Lesson 5, Reasoning