Transcript Chapter 1
Mr. Kelley/Mr. Riddell GEOMETRY B WELCOME! 1. Syllabus 2. Questions? 3. Let’s get to work! Chapter 1 Pg. 3 Conceptual Objective (CO): 1. Basic language of Geometry 2. The building blocks of Geometry: Points, Lines, Planes, Segments, Rays, and Angles Do It To It (DITI): We will begin to discuss this chapter today. You will need to BRIEFLY READ THRU THE ENTIRE CHAPTER on YOUR OWN tonight. You will recognize much of the material. Chapter 1 Pg. 3 Your first quiz will be tomorrow on Tuesday June 24. It will include Section 1.1 – 1.6 and the Algebra Rev. Pkt. Your first Test is on Friday June 27. It will include Ch 1 and Ch 2. Chapter 1-1 Patterns and Inductive Reasoning Pg. 3 Conceptual Objective (CO): 1. Learn to look for patterns 2. Use inductive reasoning to make conjectures and find counterexamples Do It To It (DITI): 1. Look at examples and guess/check a few possibilities 2. Make a conjecture that you believe to be true 3. Try to prove your conjecture. Be flexible and willing to change your conjecture if you find a counterexample or can not prove it. Chapter 1-1 Pg. 3 Do It To It (DITI) (cont) : You can disprove a conjecture with one counterexample. BUT… YOU CAN NOT PROVE A CONJECTURE WITH ONE EXAMPLE! Let’s do PW 1-1 A ODDS, now, in pairs, in 5 minutes or less! Chapter 1-2 Points, Lines, and Planes Pg. 10 Conceptual Objective (CO): The building blocks of Geometry: Points, Lines, Planes These are merely concepts in Geometry. However, to put them down on a piece of paper requires a visual representation. Do It To It (DITI): Learn the definitions of and symbols used to label Points, Lines, and Planes. Read thru Section 1-2 NOW quietly. Section 1-2 Labeling Lines RAY: Starts at A, goes thru B, then goes forever in one direction LINE: Goes forever in both directions and passes thru A and B AB SEGMENT: Has endpoints A and B AB MEASURE or DISTANCE between A and B HOMEWORK Pg 6: #1-23 ODD, 24-28 Pg 13: #1-43 ODD Chapter 1-3 Segments and their Measures Pg. 17 Conceptual Objective 1 (CO 1): Distance is a simple idea that we all know coming in to this course. With common sense, and the distance formula, you should have no trouble. Do It To It (DITI): Read pp17 and 18 up to but not including the Segment Addition Postulate. Be sure to learn the new vocabulary Postulate and Axiom And recall the terms coordinate, distance and length. Chapter 1-3 Conceptual Objective 2 (CO): Like anything else, Segments can be divided into parts. The sum of the distances (or measures) of the parts equals the total distance (or measure) of the original Segment. Like, Duh. Do It To It (DITI): Read pp 18-20 NOW quietly. Specifically note the idea of congruent segments and how they are represented in symbols. Also, recall Distance Formula and Pythagorean Theorem. Chapter 1-3 Let’s practice with worksheet 1.3 A #7-19 ODD, now, at your desk. Work with at least one peer…discussion is a critical part of learning, especially math. . Section 1-4 Angles and Their Measures Pg. 26 Conceptual Objective (CO): MORE of the building blocks of Geometry: Rays and Angles Do It To It (DITI): Read Chapter 1-4, now, quietly. Then, we’ll check out a nice series of Geometer Sketchpad sketches to help us out. HOMEWORK 1-3/1-4 Pg 21: #1- 39 ODD Pg 28: #1- 39 ODD Quick Check TASK FOR EVERYONE: Draw a diagram showing two congruent segments. Indicate that they are congruent by the use of symbols as well. I need three volunteers to put their work on the board! Chapter 1-5 Segment and Angle Bisectors Pg. 34 Conceptual Objective (CO): We can divide Angles and Segments into parts as we have seen. When we split them exactly in half we use the terms Bisect and Bisector. Do It To It (DITI): When you create two Angles or Segments of the same length it leads us to two ideas: The first is the use of congruence marks. The second is the MidPoint Formula. Chapter 1-6 Angles Pair Relationships Pg. 44 Conceptual Objective (CO): Learn to recognize, name and understand the relationship between pairs of angles Do It To It (DITI): Let’s check out a nice series of Geometer Sketchpad sketches to help us out. HOMEWORK 1-5 and 1-6 PW 1-5 ALL and PW 1-6 ALL Chapter 1-7 Intro to Perimeter, Circumference, and Area Pg. 51 CO/DITI: You already know these formulas from your WAK. The most important part of this section is the Problem-Solving Plan on pg 53. You will use this DAILY for the rest of the course. Let’s take a look. HOMEWORK 1-7 Pg 55: #9 – 19 ODD Pg 60: Chapter Review ODD