1.  Briefly describe what you are looking forward to learning and what may concern you the most. Lesson 1-1 Point, Line, Plane 1

2. Points, Lines, Planes Lesson 1-1 Point, Line, Plane 2 Objective: Students will demonstrate understanding by identifying and giving examples of undefined terms. ie “Points, Lines, Planes as well as defining the criteria for such”. Mastery is 80% or better on the 5-Minute checks.

3. Points do not have actual size. How to Sketch: Using dots How to label: Use capital letters Never name two points with the same letter (in the same sketch). Lesson 1-1 Point, Line, Plane 3 A B A C

4. LLines extend indefinitely and have no thickness or width. HHow to sketch : using arrows at both ends. HHow to name: 2 ways (1) small script letter – line n (2) any two points on the line - NNever name a line using three points - 4 n A B C

5.  Collinear points are points that lie on the same line. (The line does not have to be visible.)  A point lies on the line if the coordinates of the point satisfy the equation of the line. Ex: To find if A (1, 0) is collinear with the points on the line y = -3x + 3. Substitute x = 1 and y = 0 in the equation. 0 = -3 (1) + 3 0 = -3 + 3 0 = 0 The point A satisfies the equation, therefore the point is collinear with the points on the line. Lesson 1-1 Point, Line, Plane 5 ABC A B C Collinear Non collinear

6.  A line is made up of…….  A line can be named by ……….. Lesson 1-1 Point, Line, Plane 6

7.  A plane is a flat surface that extends indefinitely in all directions.  How to sketch: Use a parallelogram (four sided figure)  How to name: 2 ways (1) Capital script letter – Plane M (2) Any 3 non collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA Lesson 1-1 Point, Line, Plane 7 A B C Horizontal Plane M Vertical PlaneOther

8. Lesson 1-1 Point, Line, Plane 8 A B C D E F G H Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc.

9. Any three non collinear points determine a plane! Lesson 1-1 Point, Line, Plane 9 Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc.

10.  In a short paragraph  Explain to me what a plane is and how to name it. Lesson 1-1 Point, Line, Plane 10

11. Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. Lesson 1-1 Point, Line, Plane 11 Are the following points coplanar? A, B, C ? A, B, C, F ? H, G, F, E ? E, H, C, B ? A, G, F ? C, B, F, H ? Yes No Yes No

12. The intersection of two figures is the set of points that are common in both figures. Lesson 1-1 Point, Line, Plane 12 The intersection of two lines is a point. m n P Continued……. Line m and line n intersect at point P.

13. (1) Line passes through plane – intersection is a point. (2) Line lies on the plane - intersection is a line. (3) Line is parallel to the plane - no common points. Lesson 1-1 Point, Line, Plane 13

14. Lesson 1-1 Point, Line, Plane 14 P R A B Plane P and Plane R intersect at the line

15. Lesson 1-1 Point, Line, Plane 15 1. How many points determine a line? 2. How many points determine a plane? 3. Compare and Contrast coplanar and non-coplanar. 4. Point B is not between Points A & C. Fred argues that points A, B & C are collinear. Is he right? Explain

16. Objective: Students will demonstrate understanding by identifying and giving examples of undefined terms. ie “Points, Lines, Planes as well as defining the criteria for such”. Mastery is 80% or better on the 5-Minute checks. Lesson 1-1 Point, Line, Plane16

17.  Page 5-6  Problems #2-32 EVEN Lesson 1-1 Point, Line, Plane 17