1. What’s the point? THE FUNDAMENTALS OF GEOMETRY PART I

2. Do Now How many lines do you see in the diagram? How did you reach your conclusion – what did / did you not count?

3. Objective Name, notate, and draw fundamentals of Geometry Why it matters in THIS CLASS: Learning the fundamentals now will allow us to communicate effectively with each other all year. Why it matters in LIFE: Geometry can be used to describe our daily life, yet we need to know how to correctly describe things.

4. How We Talk About Shapes A I H G B C F D E

5. A I H G B C F D E

6. A I H G B C F D E Collinear: two or more points that lie on the same line

7. How We Talk About Shapes A I H G B C F D E

8. Name that Ray!. A. B. A. B ray AB ray BA

9. Opposite Ray Two rays with a common endpoint that form a straight line Each ray is named individually. A. B. C ray BA ray BC

10. Planes Points on the same plane are coplanar Points on two different planes are non-coplanar

11. Check Your Understanding: Name Coplanar and Collinear Points

12. Our first postulates! *A straight line segment can be drawn joining any two points.line segment *Any straight line segment can be extended indefinitely in a straight line.line segmentline *Any three, non-collinear points make a plane Why can we call these postulates?

13. DRAWING RELAY RACE You will be divided into teams and each team will receive a stack of index cards. Each card has something for you to draw on the board (ex. Line CD, Ray XY) When it is your turn you will come to the board and draw your picture, then you will return to your seat and hand the marker and card to the next person. This activity is to be done silently – talking will result in a 5 second penalty for your team. You must remain seated unless it is your turn. The first team to correctly complete all of their cards and get back in their seats will be the winners!

14. Independent Practice Complete practice worksheets on your own Grab a challenge worksheet if you finish early

15. Naming vs. Notating Name: Ray YB Notation: YB You try: Name and Notate

16. Undefined Terms Points, lines, and planes are considered UNDEFINED ◦They have no definition because they can only be explained using examples and descriptions Two points will define a line Three (noncollinear) points will define a plane

17. Vocab Alert Intersection: where two things meet or cross Where have you seen this word before in math or in life?

18. Intersections of the Undefined Terms These materials each represent an undefined term -Notecards are planes -Pipecleaners are lines -Punched holes are points Using the items, let’s figure out the intersections!

19. Intersections What is the intersection of two lines?

20. Intersections What is the intersection of a line and a plane?

21. Intersections What is the intersection of two planes?

22. More Postulates! If two lines intersect, then they intersect in exactly one point If two planes intersect, then they intersect in exactly one line

24. Closing & Life’s Work So, what is the point? Why do we need to know about points, lines, segments, and rays. ◦What can you now explain in your environment? ◦What do you still need explanation for? Include definitions for collinear and coplanar in your Glossary Complete Intersections Homework in Guided Notes