Norman High School PL GEOMETRY Teacher: Debra Baum Month August 2010 Content and Essential Questions Chapter 0/Preparing for Geometry A. Algebraic Expressions B. Linear Equations and Inequalities Skills Strategies Chapter 0/Preparing for Geometry A. Review Algebraic Expressions Chapter 0/Preparing for Geometry 1.1 1.2 B. Review Linear Equations and Inequalities 2.3a Assessment Resources Chapter 0/Preparing for Geometry 3 days (August 20 - August 23) Homework from textbook or worksheets Chapter 0/Preparing for Geometry Glencoe McGraw-Hill: Geometry Chapter 0: Textbook and Resource Books Chapter 1/Tools of Geometry 10 days (August 24 - Sept 8) Homework from textbook or worksheets Quizzes Tests Chapter 1/Tools of Geometry Glencoe McGraw-Hill: Geometry Chapter 1: Textbook and Resource Books Chapter 2/Reasoning and Proof Chapter 2/Reasoning and Proof C. Ordered Pairs C. Review Ordered Pairs Sections 4-7 only Chapter 1/Tools of Geometry A. Points, Lines and Planes B. Segments and Angles Relationships Chapter 1/Tools of Geometry A. Reinforce properties of points lines and planes. C. Introduction to Perimeter/Circumference and Area B. Identify different properties and vocabulary of segments and angles. Omit Section 7 C. Evaluate the perimeter, circumference and area of basic 2-dimensional figures. - Essential Question, The Earth has a radius of 3960 miles at the equator. Suppose you could wrap a cable around the Earth to form a circle. What would happen to the circumference if you added 6 feet to your cable? September 2010 Chapter 2/Reasoning and Proof Chapter 1/Tools of Geometry 1.1 5.1 2.2c 2.3d Instructional Strategies: Chapter 2/Reasoning and Proof Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Constructions Songs/Dances Chapter 2/Reasoning and Proof www.curriculummapper.com 1 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Skills A. Patterns and Inductive Reasoning A. Evaluate patterns and inductive reasoning B. Logic B. Determine truth values and find counterexamples. C. Conditional and Biconditional Statements C. Distinguish types of Conditional Statements D. Deductive Reasoning C. Proving Statements - Essential Question, Logic Puzzle, page 86 in McDougal Littell Geometry Textbook. Norman High School D. Use deductive reasoning to solve problems C. Prove statements about algebra and geometry using two column proofs Strategies 1.1 1.2 2.2c (12 days) Sept 9 - Sept 24 Homework from textbook or worksheets Instructional Strategies: Chapter 3/Parallel and Perpendicular Lines A. Parallel and Perpendicular Lines - Essential Question, Escalators, page 133 #32-36 in McDougal Littell Geometry Textbook - Essential Question, Light/Glass, page 163, #42 in McDougal Littell Geometry Textbook Chapter 3/Parallel and Perpendicular Lines A. Compare and Contrast Parallel and Perpendicular Lines Assessment Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Journal Writting/Focused Free Write Online Videos and Manipulatives Chapter 3/Parallel and Perpendicular Lines 2.2a 2.2b 5.1 Instructional Strategies: If-Then Story Project Quizzes Resources Glencoe McGraw-Hill: Geometry Chapter 2: Textbook and Resource Books Logic Puzzles (magazines, etc...) Tests Chapter 3/Parallel and Perpendicular Lines (12 days) Sept 27 - Oct 12 Homework from textbook or worksheets Quizzes Chapter 3/Parallel and Perpendicular Lines Glencoe McGraw-Hill: Geometry Chapter 3: Textbook and Resource Books Tests Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Songs/Dances www.curriculummapper.com 2 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Norman High School Skills Strategies October 2010 Chapter 4/Congruent Triangles A. Triangles and Angles B. Proving Triangles are Congruent C. Types of Triangles Chapter 4/Congruent Triangles A. Determine what characteristics a triangle must have. B. Use SSS, SAS, ASA, AAS, HL to prove two triangles are congruent. Sections 1-6 only - Essential Question, Explain the five methods to prove triangles are congruent. C. Identify the different types of triangles. I.e. Right, Isosceles, Equilateral, Obtuse, Acute and Scalene. Assessment Resources Journal Writing/Focused Free Write Anticipation Guides Writing Prompt - First Nine Weeks Use Diagram on Page 122 #2 Given the diagram, justify why each statement is true or false. 1.) <GHE is adjacent to <CHD. 2.) BF is perpendicular to AH. 3.) <BGH and <BA are complementary. 4.) <GHC is congruent to <EHD. Chapter 4/Congruent Triangles 2.5a 5.1 Instructional Strategies: Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Constructions Journal Writing/Focused Free Write Online Videos and Manipulatives Chapter 4/Congruent Triangles (12 days) Oct 13 - Nov 2 Homework Quizzes Chapter 4/Congruent Triangles Glencoe McGraw-Hill: Geometry Chapter 4: Textbook and Resource Books Tests Ready www.curriculummapper.com 3 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Norman High School Skills Strategies November 2010 Chapter 6/Quadrilaterals A. Polygons B. Parallelograms C. Other 2-dimensional, 4sided figures: Rhombuses, Rectangles, Squares, Kites, Trapeziods -Essential Question, Area of Roof Top, page 385, #20 in McDougal Littell Geometry Textbook December 2010 Chapter 7/Proportions and Similarity A. Ratio and Proportion Chapter 6/Quadrilaterals A. Identify various polygons based on their sides and angles. B. Identify properties of parallelograms C. Determine the type of 2dimensional figure based on its properties. Assessment Resources Anticipation Guides Chapter 6/Quadrilaterals 1.1 1.2 2.3a 2.3b 2.3c 2.3d 4.1a 4.1b 5.2a Chapter 6/Quadrilaterals (14 days) Nov 3 - Nov 23 Homework Quizzes Chapter 6/Quadrilaterals Glencoe McGraw-Hill: Geometry Chapter 6: Textbook and Resource Books Tests Instructional Strategies: Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Constructions Songs/Dances Journal Writing/Focused Free Write Anticipation Guides Chapter 7/Proportions and Similarity A. Evaluate problems using Chapter 7/Proportions and Similarity 1.1 Chapter 7/Proportions and Similarity (15 days) Nov 29 - Dec 17 Chapter 7/Proportions and Similarity Glencoe McGraw-Hill: www.curriculummapper.com 4 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Skills proportions. B. Proving Similar Polygons/Triangles C. Proportions in Similar Triangles Omit Section 6 - Essential Question, Baseball, page 463, #51-53 in McDougal Littell Geometry Textbook Norman High School B. Use Similarity Postulates to prove polygons and triangles are similar. C. Evaluate proportions when given a triangle with a missing length. Complete a Project for the First Semester of School based off of one of the taught chapters. (may varies amoung teachers) Strategies 1.2 2.1* 2.3d 2.4a 2.4b 2.5a 3.1 4.1b Assessment Homework Quizzes Tests Resources Geometry Chapter 7: Textbook and Resource Books Project Worksheets Project (to be determined) To be done right before winter break. 5.2b Instructional Strategies: Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Constructions Journal Writing/Focused Free Write Online Videos and Manipulatives Writing Prompt - Second Nine Weeks Explain why a parallelogram with one right angle must be a rectangle. January 2011 First Semester Final Review (Jan 3-8) First Semester Final Exam (Jan 9-11) Chapter 5/Relationships in First Semester Final Review First Semester Final Exam Chapter 5/Relationships in Triangles A. Determine the correct First Semester Final Exam Chapter 5/Relationships in Triangles 1.1 Chapter 5/Relationships in Triangles (8 days) Jan 18- Jan 27 Chapter 5/Relationships in Triangles Glencoe McGraw-Hill: www.curriculummapper.com 5 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Triangles A. Inequalities in Triangles Skills measurements of the sides and angles in various triangles B. Perpendicular and Angle Bisectors of a Triangle C. Medians and Altitudes B. Sketch the perpendicular and angle bisectors to find the circumcenter and incenter. D. Midsegment Theorem Omit Section 4 Norman High School Strategies 2.3b 5.2a 2.1* 2.2c 2.3d 3.2 5.1 Homeworks Quizzes D. Apply the midsegment theorem to problems. C. Trigonometric Ratios Chapter 8/Right Triangles and Trigonometry A. Demonstrate the use of the Pythagorean theorem. B. Recognize the patterns of special right triangles. D. Solving Right Triangles Sections 1-5 only, Begin with Section 0-9 -Essential Question, Page 565 #55 Geometry Chapter 5: Textbook and Resource books Tests B. Special Right Triangles Resources Instructional Strategies: C. Sketch the median and altitudes to find the centroid and orthocenter. - Essential Question, TBA Chapter 8/Right Triangles and Trigonometry A. Pythagorean Theorem Assessment C. Apply the trigonometric functions to right triangles. Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Partner Work/Pair Share Constructions Online Videos and Manipulatives Chapter 8/Right Triangles and Trigonometry 1.1 2.3d 2.4a 3.1 3.2 3.3 4.1b 5.2a 3.4 Chapter 8/Right Triangles and Trigonometry (13 days) Jan 28- Feb 15 Homework and Various Homework Checks Quizzes Tests Chapter 8/Right Triangles and Trigonometry Glencoe McGraw-Hill: Geometry Chapter 8: Textbook and Resource books Instructional Strategies: D. Solve for the missing measures of a right triangle Math Translations Calculator Activities Lecture Daily Warm-Ups www.curriculummapper.com 6 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Norman High School Skills Strategies February 2011 Chapter 9/Transformations and Symmetry A. Transformations in a Plane Sections 1-5 only, Begin with Section 4-7, Add Section 8-7 to Section 9-2 Chapter 9/Transformations and Symmetry A. Recognize rigid motion in a plane. Chapter 9/Transformations and Symmetry 5.1 5.2b B. Invest the differences in reflections and rotations. Instructional Strategies: C. Use vector notation to describe translations. -Essential Question, Find three real world examples of each type of transformation, plus 1 picture that shows two. March 2011 Chapter 10/Circles AA. Basic Vocabulary to Circles Chapter 10/Circles AA. Demonstrate knowledge of the various vocabulary used in circles. BB. Arcs and Chords CC. Central Angles and Inscribed Angles BB. Apply properties of arcs and chords to general problems. Resources Chapter 9/Transformations and Symmetry (9 days) Feb 16- March 2 Homework and Various Homework Checks Quizzes Tests Chapter 9/Transformations and Symmetry Glencoe McGraw-Hill: Geometry Chapter 9: Textbook and Resource Books Chapter 10/Circles (13 days) March 3 - March 29 Homework and Various Homework Checks Quizzes Tests Chapter 10/Circles Glencoe McGraw-Hill: Geometry Chapter 10: Textbook and Resource Book Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Online Videos and Manipulatives B. Reflection and Rotation C. Translations and Vectors Assessment Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Partner Work/Pair Share Constructions Online Videos and Manipulatives Chapter 10/Circles 1.1 2.3c 2.6a 2.6b 3.1 www.curriculummapper.com 7 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Norman High School Skills Strategies Chapter 11/Areas of Polygons and Circles A. Determine the interior and exterior angles of polygons. Chapter 11/Areas of Polygons and Circles 1.1 2.3b 2.3d 2.4b 2.5b 2.6a Assessment Resources DD. Equations of Circles Sections 1-6 only, omit section 7 - Essential Question, Page 633 #29 Chapter 11/Areas of Polygons and Circles A. Angle Measures in Polygons B. Area of Regular Polygons, and circles C. Area and Perimeter of Similar Polygons B. Evaluate the area of regular polygons and circles. C. Interpret the ratio of similar polygons perimeter and area. -Essential Question, Chapter 11 Resource Book Page 65 Instructional Strategies: April 2011 Chapter 12/Extending Surface Area and Volume A. Solids, 3 -D Chapter 12/Extending Surface Area and Volume A. Explain the similarities Chapter 11/Areas of Polygons and Circles Glencoe McGraw-Hill: Geometry Chapter 11: Textbook and Resource Book 4.1b Omit section 4 Chapter 11/Areas of Polygons and Circles (6 days) March 30 - April 6 Homework Quizzes Tests Math Translations Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Partner Work/Pair Share Constructions Journal Writing/Focused Free Write Online Videos and Manipulatives Anticipation Guides Chapter 12/Extending Surface Area and Volume 2.3d Chapter 12/Extending Surface Area and Volume (9 days) April 7 - April 20 Chapter 12/Extending Surface Area and Volume Glencoe McGraw-Hill: www.curriculummapper.com 8 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions B. Surface Area of Solids C. Volume of Solids Skills and differences between various solids. B. Determine the surface area of various solids. D. Similar Solids Begin with Section 1-7 -Essential Question, Make and icosahedron EOI Testing at the end of April May 2011 Chapter 8 A. Law of Sines and Cosines Chapter 11 A. Area of Regular Polygons Norman High School C. Determine the volume of the various solids. D. Identify the ratio of similar solids surface area and volume. EOI Testing at the end of April Strategies 4.1a 4.1b 4.2a 4.2b Homeworks Quizzes Resources Geometry Chapter 12: Textbook and Resource Books Tests (Test after the EOI) 4.3 Instructional Strategies: Math Translations Calculator Activites Lecture Daily Warm-Ups Corporative Learning Note Taking Guides Individual Dry Erase Boards Partner Work/Pair Share Constructions Online Videos and Manipulatives EOI Testing at the end of April EOI Testing at the end of April EOI Testing at the end of April Glencoe McGraw-Hill: Geometry Chapter 8: Textbook and Resource Books Chapter 8 A. Using Law of Sines and Cosines Chapter 11 A. Finding the Area of Regular Polygons Introduction to Algebra 2 Introduction to Algebra 2 Introduction to Algebra 2 Second Semester Final Review Assessment Introduction to Algebra 2 (May 10 - May 14) Ask Algebra 2 teachers what they want their students to have reviewed before taking Algebra 2. Glencoe McGraw-Hill: Geometry Chapter 11: Textbook and Resource Books Introduction to Algebra 2 Second Semester Final Review www.curriculummapper.com 9 of 10 PL GEOMETRY Rentzel Month Content and Essential Questions Skills Second Semester Final Exam Norman High School Strategies Second Semester Final Exam Second Semester Final Review Second Semester Final Exam Assessment Resources Second Semester Final Review Second Semester Final Exam Second Semester Final Review Second Semester Final Exam www.curriculummapper.com 10 of 10