Ms. Urquhart Mrs. Vander Bee Welcome to Geometry A Ms. Urquhart Mrs. Vander Bee

Lesson 1-1 Point, Line, Plane Participation Chapter notes Checks Chapter presentations/targets In-class discussions Projects * I reserve the right to take away participation points for anyone who displays inappropriate behavior that takes away from the class Lesson 1-1 Point, Line, Plane

Example of Binding (for the Ch.1 Note Check) - Syllabus - Ch 1 schedule - 1.1 Notes - 1.1 Homework - 1.1 Daily Quiz - 1.2 Notes - 1.2 Homework - 1.2 Daily Quiz - 1.3 Notes - and so on…until - Ch. 1 Targets (Chapter Review) Chapter Note Checks Binder/folder set up: Front pocket: Syllabus The Binding: Chapter schedule Notes HW DQ Repeat 1-4 for each section Back Pocket: Extra resources/study aids Lesson 1-1 Point, Line, Plane

Folder Check (Participation Pts) Date 12/14/09 / Syllabus and Chapter Schedule (6) Homework Complete (7) Notes Complete Misbehavior (- points) - Total (x/20) /20 Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane What is expected of you in order to do well in my class (for participation) Be an active member of the class Take notes! Answer questions Ask questions Stay organized! Be prepared to present homework problems and chapter targets Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Homework Policy Graded daily on completion To receive full credit, homework must be turned in on time Points will be deducted for late assignments. Lesson 1-1 Point, Line, Plane

What is expected of you in order to do well in my class (for HW) DO your homework every night! (Show your work) Afterwards, check your answers with the back of the book. Be prepared the next day of class to ask questions about the problems you did not understand. If you are having a lot of trouble with the homework, you should: Look back at your class notes Read through the book Check out www.classzone.com If you happen to get more then a few wrong, even after checking out these resources, make sure to come in before school and get help from me. Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Daily Quizzes Daily Quizzes are short quizzes that only take up a ½ sheet of paper covering problems from the main ideas of last nights homework Questions will be similar to problems done in class and problems seen in the homework (they should not come as a surprise to you if you have done your homework). Daily Quiz scores will be averaged out in days your are in attendance (i.e. no make-ups for absences and no points will be deducted) Lesson 1-1 Point, Line, Plane

What is expected of you in order to do well in my class (for Quizzes) Keep up with the homework and check your answers Do your homework well! (Homework is a great studying tool) Have questions from homework ready to ask at the beginning of class. If you are having a lot of trouble studying for quizzes, you should: Again, looking back at your class notes and highlight key ideas Again, read through the book Again, Check out www.classzone.com (practice quizzes are there) Go to the math room after school to get you homework done If you are still having trouble getting good scores on your quizzes, come in before or after school to get extra help from me and we will discuss possible methods for improvement. Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Tests The 1st 60% of every test will cover the entire chapter (that we are currently on) and the 2nd 40% will be a review the previous two chapters material. Retakes will be offered and must be taken before the next chapter test If absent, tests must also be made-up before the next chapter test Lesson 1-1 Point, Line, Plane

What is expected of you in order to do well in my class (for Tests) Keep you binders organized because it will be a better tool for studying! Go over old homework and quizzes Make corrections in all of your work Complete the chapter target and review packets If you are having a lot of trouble studying for Tests, you should: Again, looking back at your class notes and highlight key ideas Again, read through the book Again, Check out www.classzone.com Go to the math room for extra help come in before or after school to get extra help from me and we will discuss possible methods for improvement. *If you did not do well on a test and want to retake it, it is a good idea to come in and go over it with me before you do so. Lesson 1-1 Point, Line, Plane

Do I need algebra for Geometry? In Algebra, equations are just given to you to solve. In Geometry, however, you are asked to develop the equations yourself given the context of the problem. Therefore, algebra provides the tools necessary to complete problems geometry. (Therefore, if you struggled with Algebra 1 it is a good idea to seek extra help early on in the course) Lesson 1-1 Point, Line, Plane

Identify Points, Lines, and planes Lesson 1-1 Identify Points, Lines, and planes Lesson 1-1 Point, Line, Plane

Points (Undefined term) 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). A B C A Lesson 1-1 Point, Line, Plane

Lines (Undefined Term) Lines extend indefinitely and have no thickness or width. How to sketch : using arrows at both ends. How to name: 2 ways (1) small script letter – line n (2) any two points on the line - Never name a line using three points - n A B C Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Collinear Points 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. A B C Collinear C A B Non collinear Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Planes 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 letter without a dot – Plane M (2) Any 3 non-collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA Link to movie on green plane A M B C Horizontal Plane Vertical Plane Other Lesson 1-1 Point, Line, Plane

Different planes in a figure: B Plane ABD Plane FGH Plane BCF Plane DHE Plane BEF Plane CDG Etc. D C E F H G Lesson 1-1 Point, Line, Plane

Other planes in the same figure: Any three non collinear points determine a plane! Plane FGD Plane ACE Plane ACH Plane AGF Plane BDG Etc. Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Coplanar Objects **Remember: Any 3 non-collinear points determine a plane! Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. Are the following points coplanar? A, B, C ? Yes A, B, C, F ? No H, G, F, E ? Yes E, H, C, B ? Yes A, G, F ? Yes C, B, F, H ? No Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Example 1 a. Give two other names for b. Give two other names for plane R c. Name three points that are collinear d. Name four points that are coplanar. Line n and QP plane VSP, plane SVT, plane PVT, etc. points S,P, and T Points T,V,S, and P or points S,P, T, and Q Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Segment a straight line which links 2 points without extending beyond them. The symbol for line segment AB is Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane Rays B A have a beginning point but no end point.  Think of sun's rays: they start at sun and go on forever... Opposite Rays: 2 rays that lie on the same line, with a common endpoint and no other points in common.  How to Name? AB Opposite rays form a straight line and/or a straight angle (180°). AB and AC are opposite rays *When labeling: we always start with the endpoint first and the arrow points to the right. Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane EXAMPLE 2 a. Give another name for . b. Name all rays with endpoint J. Which of these rays are opposite rays? Lesson 1-1 Point, Line, Plane

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

3 Possibilities of Intersection of a Line and a Plane (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

Intersection of Two Planes is a Line. B P A R Plane M and Plane P intersect at the line Lesson 1-1 Point, Line, Plane

Lesson 1-1 Point, Line, Plane GUIDED PRACTICE Use the diagram at the right. 5. Name the intersection of and line k. 6. Name the intersection of plane A and plane B. 7. Name the intersection of line k and plane A. Point M line k line k Lesson 1-1 Point, Line, Plane