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Warm-up 1-2: (Do not write questions) Find a pattern for each sequence. Use the pattern to show the next two terms or figures. 1) 2) 3, –6, 18, –72, 360 Make a table of the sum of the first 4 counting numbers. Use your table and inductive reasoning to find the following: 3) the sum of the first 10 counting numbers Show that the conjecture is false by finding one counterexample. 4) The sum of two prime numbers is an even number. Lesson 1-2: Points, Lines, & Planes Objectives: (Do not write) • Students will identify and correctly name points lines and planes • Students will recognize the shapes formed by the intersection of lines and planes. Vocab Term Point Space Line Collinear Plane Coplanar Postulate (axiom) Definition Own Word Symbols • Point • Line • Plane Postulates (axioms) 1) . 2) . 3) . (Try drawing them to see…) In Class Examples 1) Draw line l. Create 3 collinear points A, B, C on line l. Then name line l in three other ways. 2) Sketch a line that intersects a plane at one point. 3) What is the intersection of planes HGF and BCG? How to draw a box: Draw a rectangle for the front, and a rectangle for the back – connect the corners, make dashes where appropriate. Hint: Shade the figures described in the directions. Look for where the shaded regions touch!