Geometry Parts I & II (& Honors)

Transcription

1 Pacing Guide Geometry Parts I & II (& Honors) Robert E. Lee High School Staunton City Schools Staunton, Virginia June 2006

2 4 th 9-weeks 3 rd 9-weeks 2 nd -9 weeks 1 st 9-weeks ***** Honors Pacing guide at end of packet Week(s) Organizing Topics Standards of Learning G e o m e t r y P a r t I 1-2 Basics of Geometry G.1b 3-4 Segments and Angles G.1a, c, d, G.2a, G Parallel and Perpendicular Lines G.3, G.4, G.11, G.2a 1-2 Triangle Relationships G.6, G Congruent Triangles G.5 5 Symmetry and Translations G.2b, c 6-7 Quadrilaterals G.8 G e o m e t r y P a r t I I 1-3 Similarity G.5b, G.14a 3-5 Polygons and Area G.3, G Surface Area and Volume G.12, G.13, G.14b 1-2 Right Triangles and Trigonometry G Circles G.10 Tessellations and Tiling problems G.9 Scale drawings, perspective drawings, blueprints, etc. G.12 Blueprint Summary Table Reporting Categories No. of Items Lines and Angles 11 G.3 G.4 G.11 Triangles and Logic 12 G.1a,b,c,d G.5a,b G.6 G.7 Polygons and Circles 10 G.8a,b,c G.9 G.10 Three-Dimensional Figures 6 G.12 G.13 G.14a,b Coordinate Relations and Transformations 6 G.2a,b,c Total Number of Operational Items 45 Field Test Items* 10 *These field test items will not be used to compute students scores on the test Total Number of Items 55

3 CH 1: Basics of Geometry Week(s): (none) Relate d Mastery* (See Notes) (These are all basic terms that students need to know before they can move on) (see activities in textbook they are good) Quizzes / Tests

4 CH 2: Segments and Angles Week(s) G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include a) identifying the converse, inverse, and contrapositive of a conditional statement; b) translating a short verbal argument into symbolic form; c) using Venn diagrams to represent set relationships; and d) using deductive reasoning, including the law of syllogism. Relate d Mastery* (See Notes) G.1 A. Identify the converse, inverse, and contrapositive of a conditional statement. B. Translate short verbal arguments into symbolic form, such as (p q) and (~p ~q). C. Use and interpret Venn diagrams. D. Determine the validity of a logical argument. E. Use valid forms of deductive reasoning, including the law of syllogism. Identify Use Interpret Determine Use Section 2.5 of Text book. Go to: Z:\Math\Geometry\Honors Geometry Fall 2005\Proofs Section 2.6 Text book Notes: \\Leemen\teachers\Teacher Resources\Math\Geometry\Other Geo 1.7.doc Overhead demonstrations Worksheets SL selected response test Conditional statement card project Identify correct Venn Diagrams F. Select and use various types of reasoning and methods of proof, as appropriate. Select

5 CH 2: Segments and Angles Week(s) G.2 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include a) investigating and using formulas for finding distance, midpoint, and slope G.3 The student will solve practical problems involving complementary, supplementary, and congruent angles that include vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons. G.2 B. Apply the distance formula to find the length of a line segment when given the coordinates of the endpoints. C. Find the coordinates of the midpoint of a segment, using the midpoint formula. investigate Find the distance Section 2.1 textbook Folding a segment bisector and measuring segments Coordinate plane-distance formula activity Paper Airplane Project Section 2.2 textbook Folding Angle Bisector Activity, and measure. SL Selected Response test G.3 B. State the relationships between pairs of angles, including a linear pair, vertical angles, corresponding angles, alternate interior angles, same-side (consecutive) interior angles, complementary angles, and supplementary angles. F. practical problems by using the relationships between pairs of angles such as vertical angles, corresponding angles, alternate interior angles, same-side interior angles, complementary angles, and supplementary angles. State Sections 2.3, 2.4 text book Gismos: Investigating Angles Activity A Warm-up: \\Leemen\teachers\Teacher I\Warm-ups\1-7 (angle pairs).doc SL selected response test Classroom demonstration`

6 CH 3: Parallel and Perpendicular Lines Week(s) G.2 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include a) investigating and using formulas for finding distance, midpoint, and slope; G.3 The student will solve practical problems involving complementary, supplementary, and congruent angles that include vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons. G.2 a D. Find the slope of a line, given the graph or the coordinates of two points on the line. Find Prentice Hall Section 2-3 (p83) Quiz G.3 A. Classify the types of angles formed by two lines and a transversal. B. State the relationships between pairs of angles, including a linear pair, vertical angles, corresponding angles, alternate interior angles, same-side (consecutive) interior angles, complementary angles, and supplementary angles. C. practical problems involving intersecting and parallel lines in a plane. F. practical problems by using the relationships between pairs of angles such as vertical angles, corresponding angles, alternate interior angles, same-side interior angles, complementary angles, and supplementary angles. Classify State Go to: for Parallel line and Planes gizmo Assessment: \\Leemen\teachers\Teacher Resources\Math\Geometry\Honors Geometry Fall 2005\Tests\HONORS ch 3 test.doc Practice: \\Leemen\teachers\Teacher I\Accel Geo Pt. I\Tests_Quizzes\Ch 7\Practice (7-1,7-2)b.doc Assessment: \\Leemen\teachers\Teacher I\Accel Geo Pt. I\Tests_Quizzes\Ch 7\QUIZ (7-1,7-2).doc R Test / Quiz

7 CH 3: Parallel and Perpendicular Lines Week(s) G.4 The student will use the relationships between angles formed by two lines cut by a transversal to determine if two lines are parallel and verify, using algebraic and coordinate methods as well as deductive proofs. G.11 The student will construct a line segment congruent to a given line segment, the bisector of a line segment, a perpendicular to a given line from a point not on the line, a perpendicular to a given line at a point on the line, the bisector of a given angle, and an angle congruent to a given angle. ***(not in McD textbook) G.4 G.11 A. Use properties, postulates, and theorems to determine whether two lines are parallel. B. Use algebraic, coordinate, and deductive methods to determine whether two lines are parallel. Construct A. a line segment congruent to a given line segment; Use Construct (activities in text) Construction Directions: Honors Geometry Fall 2005\Notes_Handouts\Constructions.doc Quiz / Test Correct Constructions B. the bisector of a line segment; C. a perpendicular to a given line from a point not on the line; D. a perpendicular to a given line at a point on the line; E. the bisector of a given angle; and F. an angle congruent to a given angle.

8 CH 4: Triangle Relationships Week(s) G.6 The student, given information concerning the lengths of sides and/or measures of angles, will apply the triangle inequality properties to determine whether a triangle exists and to order sides and angles. These concepts will be considered in the context of practical situations. G.7 The student will solve practical problems involving right triangles by using the Pythagorean Theorem, properties of special right triangles, and right triangle trigonometry. Solutions will be expressed in radical form or as decimal approximations. G.6 G.7 A. Given the lengths of three segments, determine whether a triangle could be formed. B. Arrange the angles of a triangle in order from smallest to largest when given the lengths of the sides. C. Arrange the sides of a triangle in order from smallest to largest when given the measures of the angles. D. Given the lengths of two sides of a triangle, determine the range in which the length of the third side must lie. A. Given the lengths of two sides of a right triangle, use the Pythagorean Theorem to find the length of the third side. B. Determine whether a triangle formed with three given lengths is a right triangle. Apply Arrange Determine Find Determine Section 4.7, 4.1, 4.2, 4.3, Text Book Triangle Inequality Activity Sheet: \\Leemen\teachers\Teacher I\Accel Geo Pt. I\Warm-ups\Ch 4\Triangle Inequalities.doc Section 4.4, 4.5, 4.6 Text book Areas and Right Triangles Activity (pg191) (L) (rubric included) SL Selected Response Test Illustrate proof of the Pythagorean Theorem using pictures or drawings. (L) Notes: \\Leemen\teachers\Teacher Resources\Math\Geometry\Other Geo Stuff\Geometry notes from Kevin\Notes\Notes 5.3.doc Sketchpad Pythag. Theorem Activity: \\LEEMEN\APPS\GEOMETRY\Instructor\Nussbaum\pyth agorean theorem w. squares.gsp SR Selected Reponse Test

9 CH 5: Congruent Triangles Week(s) G.5 The student will a) investigate and identify congruence and similarity relationships between triangles; and b) prove two triangles are congruent or similar, given information in the form of a figure or statement, using algebraic and coordinate as well as deductive proofs. G.5a G.5b A. Use definitions, postulates, and theorems to determine whether triangles are congruent. D. Use coordinate methods, such as the distance formula and the slope formula, to prove two triangles are congruent. Use Determine Investigate Section 5.1, 5.2, 5.3, 5.4, 5.6 Congruent Triangles Activity (p 240) Gizmos Congruent triangles activity Project involving proofs of at least three Theorems relating to congruent triangles (L) SR Selected response test Sketchpad HL demonstration: \\LEEMEN\APPS\GEOMETRY\Instructor\Nussbaum\Hyp otenuse Leg.gsp Prove Overhead activity using Coordinate plane` Class Demonstration

10 CH XXX: Symmetry and Translations Week(s) 2.5 G.2 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include b) investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and c) determining whether a figure has been translated, reflected, or rotated. G.2b E. Determine whether a figure has point symmetry, line symmetry, or neither. Determine Section text book Construct shapes on paper, cut them out and fold to find lines of symmetry SR: selected response test G.2c A. Given an image and pre-image, identify the transformation that has taken place as a reflection, rotation, or translation. Identify Go to:\\leemen\teachers\teacher II\notes\Notes 3.1.doc Quiz Go to For Reflections Activity

11 CH 6: Quadrilaterals Week(s) G.8 The student will a) investigate and identify properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles, and diagonals; b) prove these properties of quadrilaterals, using algebraic and coordinate methods as well as deductive reasoning; and c) use properties of quadrilaterals to solve practical problems. G.8 A. practical problems, using the properties specific to parallelograms, rectangles, rhombi, squares, and trapezoids. B. Prove that quadrilaterals have specific properties, using coordinate and algebraic methods, such as the distance formula, slope, and midpoint formula. C. Prove the properties of quadrilaterals, using deductive reasoning. Prove Prove Geo Sketchpad Resource: M:\Instructor\Nussbaum\Quadrilaterals.gsp \\LEEMEN\APPS\GEOMETRY\Instructor\Nussbaum\Qu adrilateralshonors.gsp Proofs: Z:\Math\Geometry\Geometry Part II\Proofs Discovering Activity: Z:\Math\Geometry\Other Geo Stuff\Geometry notes from Kevin\Notes\Notes 9.1a.doc R--Build and identify properties of Quadrilaterals Correctly completed Proofs Tests/Quizzes Notes: Geometry Part II\notes\Ch 9\Notes 9.2.doc

12 CH 7: Similarity Week(s) G.5 The student will b) prove two triangles are congruent or similar, given information in the form of a figure or statement, using algebraic and coordinate as well as deductive proofs. G.5b B. Use definitions, postulates, and theorems to determine whether triangles are similar. C. Use algebraic methods, such as properties of proportions, to prove that triangles are similar. Use Use Notes: \\LEEMEN\TEACHERS\TEACHER 10.4.doc Notes: \\LEEMEN\TEACHERS\TEACHER 10.2.doc Quiz Chapter Test Mirror Project Mirror Project: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part II\Projects\Indirect Measurement MIRROR.doc Notes: \\LEEMEN\TEACHERS\TEACHER 10.3.doc Chapter Test: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 10 Test (Geo).doc

13 CH 7: Similarity G.14 The student will a) use proportional reasoning to solve practical problems, given similar geometric objects Week(s) G.14a A. Compare perimeters and areas of similar twodimensional figures, using proportions. C. practical problems involving similar objects. Measure, Calculate, Use Determine Use, Find, Determine Mirror Project: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part II\Projects\Indirect Measurement MIRROR.doc Chapter 3 Quest (# 18-20): \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 3 Quest (Geo).doc Notes: \\LEEMEN\TEACHERS\TEACHER 10.1.doc Chapter Test: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 10 Test (Geo).doc Quiz Chapter Test Mirror Project Geometric Mean in Right Triangles: \\LEEMEN\APPS\GEOMETRY\Instructor\Nussba um\right Triangle Similarity.gsp \\LEEMEN\APPS\GEOMETRY\Instructor\Nussba um\geo Mean in Rt Triangles.gsp

14 CH 8: Polygons and Area Week(s) G.3 The student will solve practical problems involving complementary, supplementary, and congruent angles that include vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons. G.9 The student will use measures of interior and exterior angles of polygons to solve problems. Tessellations and tiling problems will be used to make connections to art, construction, and nature. G.3 D. Find the sum of the measures of the interior and exterior angles of a convex polygon. E. Find the measure of each interior and exterior angle of a regular polygon. Find Discovering Activities: Other Geo Stuff\Geometry notes from Kevin\Other\Interior Angles of a Polygon.doc Other Geo Stuff\Geometry notes from Kevin\Other\Exterior Angles of a Polygon.doc Quiz / Test Notes: Other Geo Stuff\Geometry notes from Kevin\Notes\Notes 2.2.doc G.9 A. problems involving the measures of interior and exterior angles of polygons. Project: SR GEO\Spring 2006\Unit Three\Regular Polygons (circles)\inscribed Regular Polygons Project.doc Rubric from project

15 CH 8: Polygons and Area Week(s) G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems will include finding arc length** and area of a sector, and may be drawn from applications of architecture, art, and construction. **pull from Ch 11 G.10 B. Calculate the area of a sector of a circle, using proportions. Calculate Chapter 5 Test (# 23-25): \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 5 Test (Geo).doc Quiz Chapter Test Notes: \\LEEMEN\TEACHERS\TEACHER 5.8.doc Quiz 5-7 and 5-8 (# 8-10): \\LEEMEN\TEACHERS\TEACHER 5.8.doc

16 CH 9: Surface Area and Volume Week(s) G.12 The student will make a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional representation of a three-dimensional object. Models and representations will include scale drawings, perspective drawings, blueprints, or computer simulations. Relate d G.12 A. Use properties of three-dimensional objects to make models. B. Make a model of a three-dimensional figure from a two-dimensional drawing. C. Make a two-dimensional representation of a three-dimensional object. D. problems, using scale drawings, perspective drawings, blueprints, or computer drawings as models of three-dimensional objects. E. Identify a three-dimensional object from different positions, such as the top view, side view, and front view. Define Create, Scale, Purchase, Construct, Organize Measure, Compare, Find Notes: \\LEEMEN\TEACHERS\TEACHER 6.1.doc Create a floor model of a dream home (Project): \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Home Floor Model Project.doc Measure and compare facial lengths of one s own to a Greek statue: \\LEEMEN\TEACHERS\TEACHER Stuff\Geometry notes from Kevin\Other\Golden Greek Face.doc Home Floor Model Project Greek Face Ratio Wkst Cheezironi Project Create, Design, Find Cheezironi Project: \\LEEMEN\TEACHERS\TEACHER Stuff\Geomtery Part I (old stuff)\projects ii\packing project.doc

17 CH 9: Surface Area and Volume Week(s) G.13 The student will use formulas for surface area and volume of three-dimensional objects to solve practical problems. Calculators will be used to find decimal approximations for results. G.13 A. Find the total surface area of cylinders, prisms, pyramids, cones, and spheres, using the appropriate formulas. B. Calculate the volume of cylinders, prisms, pyramids, cones, and spheres, using the appropriate formulas. C. practical problems involving total surface area and volume of cylinders, prisms, pyramids, cones, and spheres as well as combinations of three-dimensional figures. Investigate, Create, Design, Find Soup Cans Project: \\LEEMEN\TEACHERS\TEACHER Stuff\Geomtery Part I (old stuff)\projects\soup Cans\Soup cans.doc Cheezironi Project: \\LEEMEN\TEACHERS\TEACHER Stuff\Geomtery Part I (old stuff)\projects ii\packing project.doc Soup Cans Project Cheezironi Project Define, Notes and practice problems: \\LEEMEN\TEACHERS\TEACHER 6.3.doc Define Notes: \\LEEMEN\TEACHERS\TEACHER 6.4.doc Define, Notes and practice problems: \\LEEMEN\TEACHERS\TEACHER 6.5.doc Notes and practice problems: \\LEEMEN\TEACHERS\TEACHER

18 Week(s) Define, 6.6.doc Quizzes Surface area and volume quizzes/tests: In Alex Wead s Geometry notebooks Chapter Test, Draw Surface areas quiz: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part I\Tests & Quizzes\Chapter 6\Ch 6 quiz (6-2,6-3)b.doc Find, Composite Figures Quiz: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part I\Tests & Quizzes\Chapter 6\QUIZ 6-7).doc

19 CH 9: Surface Area and Volume G.14 The student will b) determine how changes in one dimension of an object affect area and/or volume of the object. Week(s) G.14b B. Describe how a change in one measure affects other measures of an object. Measures of an object may include perimeter, area, total surface area, and volume. Find, Relate See how changes in lengths affect perimeters, areas, and volumes by using examples in a different section: \\LEEMEN\TEACHERS\TEACHER 10.5.doc Test, Find, Compare, Find, Compare Use similar figure problems to relate to skill / Chapter 10 Test (# 12-15): \\LEEMEN\TEACHERS\TEACHER Stuff\Geometry notes from Kevin\Tests\Chapter 10 Test.doc Use similar figure problems to relate to skill / Chapter 10 Test (# 21-23): \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 10 Test (Geo).doc Notes: (go to Z:\Math\Geometry\Other Geo Stuff\Geometry notes from Kevin\Notes)

20 CH 10: Right Triangles and Trigonometry Week(s) G.7 The student will solve practical problems involving right triangles by using the Pythagorean Theorem, properties of special right triangles, and right triangle trigonometry. Solutions will be expressed in radical form or as decimal approximations. G.7 C. for missing lengths in geometric figures, using properties of triangles. D. for missing lengths in geometric figures, using properties of triangles. Simplifying Radicals: Z:\Math\Geometry\Honors Geometry Fall 2005\Notes_Handouts\simplifying radicals.doc Note: Geometry Part I\Accel Geo Pt. I\notes for notebooks\ch 5\Notes 5.4.doc Notes: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part I\Accel Geo Pt. I\notes for notebooks\ch 5\Notes 5.4.doc Quiz / Test R-for Trig Project Geometry Part II\Projects\Trig Project.doc Pythag Theorem/Special Right Triangle Quiz: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Quiz 5-3, 5-4.doc Notes: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part I\Accel Geo Pt. I\notes for notebooks\ch 5\Notes 5.3.doc Chapter 5 Test (# 10-12): \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Geometry\Geometry Part I\Accel Geo Pt. I\notes for notebooks\ch 5\Notes 5.3.doc Notes: E. problems involving right triangles, using sine, cosine, and tangent ratios. F. practical problems, using right triangle trigonometry and properties of right triangles. \\Leemen\teachers\Teacher II\notes\Ch 11\Itentifying Trig sides.doc \\Leemen\teachers\Teacher II\notes\Ch 11\Notes 11.1.doc \\Leemen\teachers\Teacher II\notes\Ch 11\Notes 11.2.doc \\Leemen\teachers\Teacher II\notes\Ch 11\Notes 11.3.doc

21 Week(s) \\Leemen\teachers\Teacher II\notes\Ch 11\Notes 11.6.doc \\Leemen\teachers\Teacher II\notes\Ch 11\PRACTICE WITH TRIGONOMETRY.doc Fun handout: Z:\Math\Geometry\Honors Geometry Fall 2005\Notes_Handouts\Ch 8\sohcahtoa.doc Interactive website: Trig notes in grid: Z:\Math\Geometry\Honors Geometry Fall 2005\Notes_Handouts\Ch 8\Trig Notes.doc Trig grid: Z:\Math\Geometry\Geometry Part II\notes\Ch 11\Trigonometry Grid.doc Additional Practice: Geometry Part II\notes\Ch 11\PRACTICE WITH TRIGONOMETRY.doc Project: Geometry Part II\Projects\Trig Project.doc

22 CH 11: Circles Week(s) G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems will include finding arc length and area of a sector, and may be drawn from applications of architecture, art, and construction. G.10 A. Given two intersecting chords or two intersecting tangents, find missing lengths. C. Given the measure of a central angle in degrees and the radius of the circle, find the related arc length. D. practical problems associated with circles, using properties of angles and arcs. Use Use Notes: \\Leemen\teachers\Teacher II\notes\Ch 12\Circle Notes.doc Sketchpad Activity (3 links--needs editing): \\Leemen\teachers\Teacher II\notes\Ch 12\Wksh for Sketchpad Circles.doc Test Use, \\Leemen\teachers\Teacher II\notes\Ch 12\Wksh for Sketchpad Circles (Part II).doc \\LEEMEN\APPS\GEOMETRY\Instructor\ Nussbaum\Circles.gsp Notes: \\Leemen\teachers\Teacher II\notes\Ch 12\Notes 12.1.doc Graphing Activity: \\Leemen\teachers\Teacher II\notes\Ch 12\12-1 Graphing Activity.doc Notes: \\LEEMEN\TEACHERS\TEACHER 12.3.doc Notes: \\LEEMEN\TEACHERS\TEACHER

23 Week(s) doc Notes: \\LEEMEN\TEACHERS\TEACHER 12.5.doc Chapter 12 Test: \\LEEMEN\TEACHERS\TEACHER RESOURCES\Math\Wead\Chapter 12 Test (Geo).doc

24 Tessellations and Tiling Problems Week(s) G.9 The student will use measures of interior and exterior angles of polygons to solve problems. Tessellations and tiling problems will be used to make connections to art, construction, and nature. G.9 B. Identify tessellations in art, construction, and nature. Identify Tessellation activity:..\wead\tessellations Wkst.doc R Aticles with more Tessellation Projects: Issue_id=760 R

25 Scale drawings, perspective drawings, blueprints, etc. Week(s) G.12 The student will make a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional representation of a three-dimensional object. Models and representations will include scale drawings, perspective drawings, blueprints, or computer simulations. G.12 A. Use properties of three-dimensional objects to make models. D. problems, using scale drawings, perspective drawings, blueprints, or computer drawings as models of three-dimensional objects. For Brian s house project, go to: Z:\Math\Geometry\Geometry Part II\House For Alex s house project, go to:..\wead\home Floor Model Project.doc (rubrics included in file)..\wead\home Project Grading.doc E. Identify a three-dimensional object from different positions, such as the top view, side view, and front view. Platonic Solids website Project (includes SA):SR GEO\Spring 2004\Projects\Surface Area\Surface Area Project.doc rubric included

26 2 nd -9 weeks 1 st 9-weeks HONORS GEOMETRY PACING GUIDE ***It is extremely important that you move with pace in order to complete all standards. Students who cannot move quickly should be moved into Geo Parts I & II Week(s) Organizing Topics Standards of Learning 1 (5 days) CH 1 Essentials of Geometry G.2.a (w/o slope), G.3 (w/o transv.), G (10 days) CH 2 Reasoning and Proof G.1.a,b,c,d 4-5 (6 days) CH 3 Parallel and Perpendicular Lines G.2.a (slope only), G.3 (transv. only), G.4, 5-6 (7 days) CH 4 Congruent Triangles G.5.a,b (congruent only) 7 (5 days) CH 5 Relationships within Triangles G.6 8 (5 days) CH 6 Similarity G.5.a,b (similar only), G.14a 1-2 (6 days) CH 7 Right Triangles and Trigonometry G (5 days) CH 8 Quadrilaterals G.8, G.9 (w/o tess.) 3-4 (1 or 2 days) CH 9 Properties of Transformations G.2.b, c, G.9 (tess. Only) 4-5 (9 days) CH 10 Properties of Circles G.10 6 (7 days) CH 11 Measuring Length and Area G.10 (arcs, 7 (5 days) CH 12 Surface Area and Volume of Solids G.12, G.13, G.14.b ***Go to Z:\Math\Geometry\Honors Geometry Fall 2005 for a complete look at curriculum using the Merrill book. ***go to Z:\Math\Geometry\Other Geo Stuff\Flatland for resources for integrating FLATLAND into the curriculum Additional Topics for Geometry Honors Prove with constructions and coordinate methods: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment. Investigate concurrency properties in triangles through paper folding, and form a conjecture. Perform and prove the concurrency constructions using only a straightedge and compass. angle bisectors and the incenter of the triangle perpendicular bisectors of the sides of the triangle and the circumcenter of the triangle medians from each vertex of the triangle and the centroid of the triangle altitudes to each side of the triangle from the opposing vertex and the orthocenter of the triangle.

27 Resources The Geometry Center NASA The Math Forum 4teachers Appalachia Educational Laboratory (AEL) Eisenhower National Clearinghouse Geometry Instructional Modules The Geometry Center NASA The Math Forum 4teachers Appalachia Educational Laboratory (AEL) Eisenhower National Clearinghouse Mathematics Teacher Resource Guide Test Blueprints Test Released Items