Lesson1

Lesson 1 Students know how to identify circles and angles. Students know characteristics of angles and how to measure angles. -Students will create and locate arcs and angles of circles -Students will distinguish between different arcs -Students will apply previous knowledge to determine measurements 9-12.G.1.1A. (Evaluation) Justify properties of geometric figures. 9-12.G.1.3A. (Application) Apply properties associated with circles. 9-12.G.2.3. (Application) Use proportions to solve problems. 9-12.G.1.1. Analyze properties and determine attributes of two- and three-dimensional objects. 9-12.G.1.2. Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. 9-12.G.4.1. Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools. I will present the new material to the students by using Geometer’s SketchPad. Working with and showing them, together we will construct circles, and arc and angles of those circles. To assess if the students are grasping the material, I will ask them if they observed any similarities between the arc and the angle measures. For my body, I will be using notes I created and synching them to the students’ computers. Together we will go through the notes. I will explain and verify the new definitions. We will then do the example problems that I provided in the notes. Also, I will speak of pie charts and the connection between the measures of central angles and the percents of sections in the chart. To assess the students I will be using open discussion, non-directive, and directive questioning. Open discussion and non-directive will be similar in that the questions will be open to all to answer. As for directive, I will be asking certain students for the answer. Using each way of assessing the students, there is a higher possibility that every student will participate in class. To close, I will review and state the new definitions and ask the students for their meanings. For further investigation, I will remind the students of the “extra practice” question. Student practice will include a worksheet that consists of the same types of examples we did in the notes.
 * Chapter 10 Circles **
 * 10-2 Arcs and Angles **
 * I.  **** Previous Student Knowledge **
 * II.  **** Objectives & Standards **
 * A. Objectives **
 * B. Standards **
 * SD Content Standards **
 * National Content Standards **
 * III.  **** Introduction **
 * IV.  **** Body **
 * V.  **** Closure **
 * VI.  **** Student Practice **