Milwaukee Public Schools Curriculum Pacing Guide for Discovering Geometry Semester One (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS 2.3* Measure angles using a Chapter 1: protractor Introducing 8.3* Use a coordinate plane and Geometry the distance and midpoint formulas CABS: LT 2: Use a variety of mathematical to determine lengths and midpoints Day 1 1.1 Building and technological tools to determine of segments. Sketch It! Blocks of measurements directly (ruler, 12.1* Identify and name points, Geometry protractor, compass) and to check lines, rays, segments and planes. Day 2 1.2 Poolroom Math Day 3 1.3 Widgets Day 4 1.4 Polygons Day 5 1.5 Triangles Day 6 1.6 Special Quadrilateral Day 7 1.9 Pictures Day 8 Review Assessment reasonableness of answers. When students apply technology, e.g. computers and graphing calculators, they will interpret results appropriately. 12.2* Name and classify angles and line segments. 12.3* Identify and use angle-pair relationships in mathematical and real-world applications. 12.4* Classify and communicate the differences between pairs of LT 12: Identify and apply definitions lines. related to lines and angles in order to 12.6 * Prove statements about use them to solve problems and segments, lines, angles and angle perform basic geometric constructions. relationships by using properties, postulates, and theorems. LT 13: Classify and describe polygons 13.1* Classify polygons by sides and and 3-dimensional figures angles. 13.2* Classify triangles by sides and LT 14: Use and analyze geometric angles. relationships and properties of 13.3* Classify quadrilaterals by their polygons and 3-dimensional figures to parts. solve mathematical and real world 13.5* Describe properties of applications. quadrilaterals. 15.1 Identify congruent and similar polygon. Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. Draft 02/15/09 Suggested vocabulary line, plane, line segment, congruent, angle, vertex, polygon, triangle, ray Milwaukee Public Schools Curriculum Pacing Guide for Discovering Geometry Semester One (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS CHAPTER 2 Chapter 2: CHAPTER 2 Reasoning in 12.3* Identify and use angle-pair Geometry CABS: LT 12: Identify and apply definitions relationships in mathematical and What do you related to lines and angles in order to real-world applications. know? use them to solve problems and 2.5 Angle Day 9 perform basic geometric constructions. 12.5* Classify the types of angles Relationships formed by two lines and a transversal. CABS: 2.6 Angles and Parallel Lines Day 10 Parallel lines Day 11 Review Assessment . Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. Draft 02/15/09 Suggested vocabulary Parallel, transversal, perpendicular, vertical angles, linear pair, corresponding angles Milwaukee Public Schools Curriculum Pacing Guide for Discovering Geometry Semester One (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS CHAPTER 3 Chapter 3: CHAPTER 3 2.2* Measure lengths using a LT 2: Use a variety of Using Tools of CABS: metric/English ruler (to the mathematical and technological Geometry appropriate degree of tenths of cm tools to determine measurements Perpendicular and sixteenths of an inch). 3.1 Duplicating directly (ruler, protractor, Day 12 Bisector Segments and compass) and to check Angles reasonableness of answers. When 2.3* Measure angles using a protractor (to appropriate degrees). students apply technology, e.g. 3.2 Construct computers and graphing Day 13 12.7 Perform basic geometric Perpendicular calculators, they will interpret constructions. Bisectors results appropriately. Day 14 3.3 Construct Perpendicular Lines Assessment Day 15 3.4 Angle Bisectors Day 16 3.5 Parallel Lines Day 17 3.6 Constructions Day 18 Review Assessment . LT 12: Identify and apply the definitions related to lines and angles in order to use them to solve problems and perform geometric constructions. . 16.1 Plot and label geometric figures using a coordinate plane. 18. 7 Solve real-world application problems using scale drawings, perspective drawings, blueprints, or computer drawings as models of 3dimensional objects. Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. Draft 02/15/09 Suggested vocabulary bisector, midpoint Milwaukee Public Schools Curriculum Pacing Guide for Discovering Geometry Semester One (Summer School 2009) Time Lesson/Activity MPS Learning Targets Benchmarks Embedded in District Chapter Lessons Model CABS Chapter 4: Chapter 4 Chapter 4 Proving and LT 12: Identify and apply the reasoning with definitions related to lines and 12.7 Perform basic geometric Triangles angles in order to use them to solve constructions. Day 19 4.1 Triangle Sum problems and perform geometric constructions. 14.1 Determine if lengths of three segments can form a triangle. LT 14: Use and analyze geometric Day 20 4.2 Isosceles relationships and properties of 14.2 Determine the range in which Triangle polygons and 3-dimensional figures to the length of the third side of a solve mathematical and real world triangle must be given the lengths applications. of two sides. Day 21 4.3 Triangle Inequalities 18.5 Compare perimeters and areas of similar 2-dimensional figures using proportions. Day 22 Assessment Days 23-25 Review Final Exam Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. Draft 02/15/09 Suggested vocabulary Inequality, corresponding parts, conjecture