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Learning Activity Packet 616 N. 15th St. Philadelphia, PA 19130 Phone: (215) 684-5916 Course ID: 210 LAP #: 1 Time Frame: 15-18 Subject: Geometry Dr. Charles Staniskis, Principal Dr. Anne Clancy, Assistant Principal Teacher: Leonard Beqiraj Course Name: Introduction Standard_1: Std 2.3.11 - A. Select and use appropriate units and tools to measure to the degree of accuracy required in particular measurement situations Standard_2: Std 2.2.11 - B. Use estimation to solve problems for which an exact answer is not needed. Standard_3: Std 2.2.11 - E. Recognize that the degree of precision needed in calculating a number depends on how the results will be used and the instruments used to generate the measure. Standard_4: Std 2.3.11 - B. Measure and compare angles in degrees and radians. Standard_5: Std 2.5.11 - A. Select and use appropriate mathematical concepts and techniques from different areas of mathematics and apply them to solving non-routine and multi-step problems. Standard_6: Std 2.5.11 - B. Use symbols, mathematical terminology, standard notation, mathematical rules, graphing and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas and results. Introduction: Students will discover that geometry is a way of thinking about and seeing the world. They will become aware of geometry in nature, art, and cultures around the world. Within this discovery, students will be introduced to various construction tools and define terms in this chapter that they will use throughout the course. Synthetic and analytic deductive approaches to geometry will be integrated in this chapter and throughout the course. Objectives: Students Students Students Students Students Students Students Students Students Students Students will will will will will will will will will will will be be be be be be be be be be be able able able able able able able able able able able to to to to to to to to to to to give examples of geometry in nature and in art. identify the types of symmetry in a given geometric figure. create various designs using basic construction tools of geometry (straightedge, compass). define and use geometry terms in different situations. find the coordinates of the midpoint of a segment when the endpoint coordinates are given. measure segments and angles. define and classify polygons. define and classify triangles and quadrilaterals, along with their related parts. define a circle and identify its parts. translate description into diagrams and vice versa. recognize some geometric solids. symmetry, reflectional symmetry, line of symmetry, bilateral symmetry, rotational symmetry, compass, straightedge, point, line, plane, Vocabulary: collinear, coplanar, line segment, midpoint, bisect, ray, angle, vertex, congruent angles, angle bisector, incoming angle, outgoing angle, perpendicular, parallel, skew, right angle, acute angle, obtuse angle, vertical angles, complementary angles, supplementary angles, adjacent angles, polygon, convex polygon, concave polygon, congruent polygon, equilateral polygon, equiangular polygon, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, undecagon, dodecagon. Activities1: Lesson Guided Practice Independent Practice Homework Closure What did you learn? Pg. 4 Q 2 Describe: point, line, plane Write the midpoint formula Pg. 37 Q 8 Write elements of angles Pg. 44 Q 24 Write steps to create Pg. 52-53 Q 22, 23 definitions Write the difference between concave and convex polygons Pg. 57 Q 24 0.1 Geometry in Nature Pg. 2-4 Define the and in Art vocabulary words 1.1 Building Blocks of Geometry Pg. 33 Q 2-4 Pg. 4-6 Q 3-8 Pg. 6 Q 9 Pg. 33-34 Q 5, 13, 15, 18 2123 Pg. 34 Q 27 Midpoint Pg. 37 Q 1 Pg. 37 Q 2, 4, 6, 8 1.2 Poolroom Math 1.3 What's a Widget Pg. 43 Q 1 Pg. 49/50 Investigation Pg. 43/46 Q 5, 13, 18,19 Pg. 49-50 Investigation Pg. 51 Q 11-14 1.4 Polygons Pg. 55 Example Pg. 56-58 Q 1-8, 15-21 1.5 Triangles and Special Quadrilaterals Pg. 64 Q 1 Pg.60-64 Investigation Pg. 64-66 Q 2-16 Pg. 65 Q 22-24 1.6 Circles Pg. 70-72 Q 1-8, 11, 15 Pg. 71 Q 14 Write things you can't assume Describe how to find an arc measure Pg. 76-77 Q 2-6 Pg. 77 Q 10 What did you learn? Pg. 76 Q. 1 Pg. 70 Q 10 1.7 A Picture is Worth a Thousand Words Pg. 76 Q 2 1.8 Space Geometry Pg. 83 Q 1 Pg. 83 Q 4-6, 16 Pg. 84 Q 17 Pg.85 Equal Distances Geometric Probability Pg. 86 The Spiner Pg. 88-89 Q 1-25 Pg. 90 Q 39 Probability Formula Chapeter 0/1 Project Pg. 35/66 RWL: Use the basic tools of geometry to draw a picture to ilustrate geometry in real world or draw Spiral Design/Drawing the Impossible Chapter 0/1 Review Lap 1 Test Resources: Discovering Geometry An Investigative Approach. Solution Manual, Key Curriculum Press, 2003 Geometer's Sketchpad Version 4, KCP Technologies, 2001 TI 83 Graphing Calculator Discovering Geometry An Investigative Approach, Teaching Resources on CD, Key Curriculum Press, 2003 Discovering Geometry An Investigative Approach, Test Generator and Worksheet Builder, Key Curriculum Press, 2003 Portfolio 5% Assessments: Project 15% Classwork 15% Participation 5% Homework 15% Tests and Quizzes 45% Extra Credit 10% Note: To earn a credit a minimum of 80 points are required and a score of 80% or higher on the Lap test. Instructional Accomodation: