Chapter 1 The Basics of Geometry The Bigger

Chapter 1 – The Basics of Geometry The Bigger Picture - Inductive Reasoning - Fundamental Terminology - Basic Postulates These are the building blocks we will use to throughout the course to develop new terms, postulates, and theorems to explain geometry in the world around us. The “What” and the “Why” Find & describe patterns. - Use patterns to predict a figure or number in a sequence Use Inductive Reasoning. - Make and verify conjectures, such as a conjecture about a full moon Use defined & undefined terms. - Understand the basic elements of geometry Use angle postulates and classify angles. - Solve real life problems such as angles of vision. Bisect a segment and bisect an angle - Solve problems in geometry & real life such as the angles of a kite. Identify vertical angles, linear pairs, complementary angles, and supplementary angles. - Find angle measures of geometric figures and real life structures, such as intersecting metal supports for stair railings Sketch intersections of lines & planes. Find perimeter, circumference, and area of common plane figures. - Visualize the basic elements of geometry and the ways they can intersect. Use segment postulates and the Distance Formula. - Solve real life problems such as finding the distance between 2 points on a map. - To solve problems related to measurement, such as finding the area of a deck for a pool. Use a general problem solving plan. - To solve problems related to mathematics and real life, such as finding the number of bags of grass seed you need for a soccer field.

Chapter 1 – The Basics of Geometry, an example. Air Traffic Control & Runway Management Consistent Naming Conventions are CRITICAL to ATC and runway management. * Naming is based on Angles formed with Due North, measured in a Clockwise Direction. * The angles are called “Bearings” * Bearings are divided by 10 to determine the runway number. Questions for Discussion: 1. Why is it important to use consistent runway naming schemes? 2. Assuming the picture is oriented 270* to directional north, what is the runway number running north to south? East to west? Northeast to southwest? Southwest to northeast? 360* 90* 180*