PPT-1.3 Measuring Angles Objectives:

Measure angles with a protractor Identify and use the angle addition postulate WarmUp Find the indicated value AC 20 AB A B C x4 2x 3 Vocabulary Degree The most common unit of angle measure. Recognising different types of angles. What type of angle is this?. Right angle. What type of angle is this?. acute. What type of angle is this?. obtuse. What type of angle is this?. acute. What type of angle is this?. Terra Alta/East Preston . School. Geometry Unit. Ray. Ray. --part of a line that has one. endpoint and goes on endlessly. in the other direction.. Congruent. Equal in size and shape.. Degrees. The unit used to. Central Angles. Central Angle. (of a circle). Central Angle. (of a circle). NOT A. Central Angle. (of a circle). A . central angle. is an angle whose vertex is the CENTER of the circle. CENTRAL ANGLES AND ARCS. Goal: . To learn how to measure angles using full-circle protractors. Now let’s review what we know about angles….. What are the names of the different parts of an angle?. How do we measure angles using the half-circle protractor?. Given circle of radius . r. , a radian is the measure of a central angle subtended by an arc length . s. equal to r. . The radian measure of an arbitrary angle. There are radians in a angle. Why? . Definitions. Complementary angles – the sum of their measures is 90˚. Each angle is the compliment of the other. A. B. 32˚. 58˚. Definitions. Supplementary angles – the sum of their measures is 180˚. Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . Geometry Unit 4. Angles of A Triangle. Content Objective. : Students will be able to identify the properties and classifications of specific triangles, using them to solve problems.. Language Objective.  .  . Today’s Objectives:. Students will be able to find and use the sum of the measures of the interior angles of a polygon. . Students will be able to find and use the sum of the measures of the exterior angles of a polygon. . Shape and Angles. Assumed knowledge. recall and use properties of angles. angles at a point. angles at a point on a straight line. perpendicular lines. vertically opposite angles. distinguish between scalene, isosceles, equilateral and right-angled triangles.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Depression. 1/14 and 1/15. EQ: . How do we draw . angles of elevation and angles of . depression. ?. Agenda:. Warm Up/Check Homework. Notes . on Angles of Elevation and . Depression. Practice Drawings. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . produced by different activities. Stay safe.   . Whether you are a scientist researching a new medicine or an engineer solving climate change, safety always comes first. An adult must always be around and supervising when doing this activity. You are responsible for:.