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Honors Geometry Curriculum Guide Rockville High School Developed by: Len Ertel Don McGrath Donald McGrath Department Head Jane Keleher Mathematics Coordinator Edmund J. Nocera, Ph.D. Assistant Superintendent Andrew Maneggia Superintendent Vernon, Connecticut 1998 Honors Geometry Course Philosophy Honors Geometry is designed to Provide the students with a formal, rigorous treatment of the fundamental concepts of Euclidean Geometry. Algebra skills developed in the previous course will be integrated throughout the curriculum. The inductive as well as the deductive thought processes will be employed with strong emphasis on logical sequential reasoning. Honors Geometry Goals The student will be able to: • communicate the concepts of geometry using appropriate terminology. • understand the axiomatic structure of Euclidean geometry. • interrelate the concepts of algebra and geometry. • visualize and work with 2 and 3 dimensional figures. • distinguish between parallel lines, intersecting lines and skew lines. • determine the measures of arcs and angles in various configurations. • categorize figures in terms of congruence or similarity. • identify and find the areas and volumes of geometric shapes and solids. • apply geometric concepts to solve practical problems. Code Sheet (To be used in conjunction with the "Suggestions" column.) SG Study Guide TE Teacher Edition PMS Practice Master Sheet RB Resource Book RBDM Resource Book Diagram Master RBP Resource Book Practice RBEA Resource Book Enrichment Activity Honors Geometry Topical Outline FIRST SEMESTER 1.0 Points, Lines, Planes, Angles 1. 1 1. 2 1.3 1.4 2.0 Deductive Reasoning 2. 1 2.2 2.3 2.4 2.5 3.0 Conditional Statements and Converses Properties from Algebra and Congruence Proving Theorems Theorems about Angles nd Perpendicular Lines Planning a Proof Parallel Lines, Planes and Polygons 3.1 3.2 3.3 3.4 3.5 3.6 4.0 Points, Lines and Planes Segments, Rays and Distance Angles Postulates and Theorems Definitions Properties of Parallel Lines Proving Lines Parallel Angles of a Triangle Angles of a Polygon Inductive and Deductive Reasoning Congruent Triangles 4.1 4.2 4.3 4.4 4.5 4.6 4.7 Congruent Figures Ways to Prove Triangles Congruent (A) Using Congruent Triangles The Isosceles Triangles Theorems Ways to Prove Triangles Congruent (B) Using More Than One Pair of Congruent Triangles Medians, Altitudes and Perpendicular Bisectors 5.0 Quadrilaterals 5. 1 5.2 5.3 5.4 5.5 6.0 Reasoning and Indirect Proof 6. 1 6.2 7.0 Parallelograms and Their Properties Ways of Proving that Quadrilaterals are Parallelograms Theorems Involving Parallel Lines and Quadrilaterals Special Parallelograms Trapezoids Inverses and Contrapositives Indirect Proof Similar Polygons 7. 1 7.2 7.3 7.4 7.5 Ratio and Proportion Properties of Proportions Similar Polygons Similar Triangles Proportional Segments in Similar Triangles SECOND SEMESTER 8.0 Right Triangles and Trigonometry 8.1 8.2 8.3 8.4 8.5 9.0 Right Triangle Similarity The Pythagorean Theorem and Its Converse Special Right Triangles The Sine, Cosine and Tangent Ratios Applications of Right Triangle Trigonometry Circles 9.1 9.2 9.3 9.4 9.5 9.6 Basic Terms Tangents Arcs Chords Angles Circles and Lengths of Segments 10.0 Areas and lengths in Plane Figures 10.1 10.2 10.3 10.4 10.5 10.6 Areas of Rectangles Areas of Parallelograms, Triangles and Rhombuses Areas of Trapezoids Areas of Regular Polygons Circumference and Areas of Circles Arc Length and Sector Areas 11.0 Areas and Volume of Solids 11.1 11.2 II. 3 11.4 11.5 Prisms Pyramids Cylinders and Cones Spheres Areas and Volumes of Similar Solids 12.0 Coordinate Geometry and Formulas 12.1 12.2 12.3 12.4 12.5 The Distance Formula Slope of a Line Parallel and Perpendicular Lines Vectors The Midpoint Formula 13 .0 Constructions (Optional) 13.1 13.2 13 .3 13 .4 13.5 Seven Basic Constructions Concurrent Lines Circles Special Segments Locus Problems TEXT: Geometry PUBLISHER: McDougal Litte11lHoughton Mifflin, copyright 1997 TOPIC OBJECTIVE REF AUTHOR: Jurgensen/Brown/Jurgensen SUGGESTIONS The student will be able to: 1.0 TIMELINE 8 Period Day Block SG pp. 112 TE ch. 1 pp. c, d TE pp. T74, 75 Visual 1 1 'h SG pp. 3/4 TE p. TIS PMS 1 RBP 1 Visuals A1B/2 RBDM 1 2 1 1.3 pp. 11-16 SG pp. 5/6 TE pp. TI5176 Visuals C/2 2 1.4 pp. 17-22 SG pp. 7/8 TE pp. T76177 PMS2 RBP2 Visuals C/4 2 1 1.5 pp.22-26 SG pp. 9/10 TE pp. T77178 PMS3 RBP3 1 'h 2 1 Points, Lines, Planes, Angles 1.1 Points, Lines, and Planes 1.1.1 Use the tenns equidistant, point, and line 1.1.2 Draw representations of points and lines. 1.1.3 Use and draw representations of points, lines and planes. 1.1.4 1.2 Segments, Rays and Distance 1.2.1 1.1 pp. 1-4 1.2 pp. 5-10 Use tenns collinear, coplanar. and intersection. Use correct symbols for lines, segments, rays and distances. 1.2.2 Find distances. 1.2.3 State and apply the ruler postulate. 1.2.4 State and apply the segment addition postulate. 1.3 1.4 Angles Postulates and Theorems 1.3.1 Name angles and find their measures. 1.3.2 State and use the angle addition postulate. 1.4.1 Use postulates and theorems relating points, lines, and planes. Visuals Af2 Unit 1 Evaluations PMS4 RBP4 TEXT: Geometry PUBLISHER: TOPIC McDougal LittelllHoughton Mifflin, copyright 1997 OBJECTIVE AUTHOR: Jurgensen/Brown/Jurgensen 8 Period Day The student will be able to: 2.0 TIMELINE SUGGESTIONS REF Block Deductive Reasoning 2.1 Exploring Whole Numbers 2.1.1 Recognize the hypothesis and conclusion of a conditional statement. 2.1.2 State the converse of a conditional. 2.1.3 Use counter-examples to disprove statements. 2.1.4 Understand the meaning of biconditional 2.1 pp. 33-35 SO pp. 11/12 TE pp. T79/80 TE ch. 2 pp. 31C/31D PMS 5 Visual 3 2 RB computer act. p. 237 RBDM2 statements. 2.2 2.3 2.4 Properties from Algebra and Congruence 2.2.1 Proving Theorems 2.3.1 Theorems About Angles and Use the properties from algebra and congruence in proof. 2.2 pp.3743 Apply the midpoint theorem and angle 2.3 bisector theorem. pp. 4347 SO pp. 13/14 TE p. 80 PMS6 Visual 3 2 1 SO pp. T80/81 PMS7 RBP5 Visual 3 1 'h 2.3.2 Apply theorems that can be used in proofs. 2.4.1 Apply theorems about complementary, supplementary. and vertical angles. 2.4 pp.50-54 SO pp. 17-18 TE p. T81 PMS 8 Visua14 1 'h 1 2.4.2 Apply defmitions and theorems about perpendicular lines. 2.5 pp.56-60 SO pp. 19-20 TEp. T82 RBP6 Visuals AfC/4 1 'h 1 Perpendicular Lines TEXT: Geometry PUBLISHER: OBJECTIVE TOPIC AUTHOR: Jurgensen/Brown/Jurgensen McDougal LittelllHoughton Mifflin, copyright 1997 The student will be able to: 2.5 Planning a Proof 2.5.1 2.5.2 State and apply theorems about angles that are supplements and complements of congruent angles. 2.6 pp. 60-66 SG pp. 21-22 TE p. T82 PMS9 RBP7 Visual 4 8 Period Day Block 3 1 'h Plan and write a proof in 2-column form. RBP8 Unit 2 Evaluations 3.0 TIMELINE SUGGESTIONS REF Parallel Lines, Planes and Polygons 3.1 Definitions 3.1.1 Distinguish between intersecting, parallel, and skew lines. 3.1.2 State and apply the theorem about the intersection of two parallel planes by a third 3.1 pp.73-78 SG pp. 23-24 TE pp. T83-84 RBEA pp. 207-209 2 RB Computer Act. pp. 238-239 plane. 3.2 Properties of Parallel Lines 3.1.3 Identify angles formed when two lines are cut by a transversal. 3.2.1 State and apply a postulate and theorems about properties of parallel lines. 3.2 pp. 78-82 SG pp. 25-28 TE p. T84 PMS 12 VisualS 2 RB VanHiele Act. 1 3.3 Proving Lines Parallel 3.3.1 State and apply the postulates and theorems proving lines parallel. 3.3.2 State and apply the theorems about a parallel and perpendicular to a given line through a point outside the line. 3.3 pp. 83-88 SG pp. 29-32 TE pp. T84-85 TE ch. 3 pp. 71C/D PMS 13 RBP9 VisualS 2 TEXT: Geometry PUBLISHER: TOPIC McDougal LittelllHoughton Mifflin, copyright 1997 AUTHOR: JurgensenIBrownfJurgensen REF OBJECTIVE SUGGESTIONS The student will be able to: 3.4 3.5 3.6 Angles of a Triangle Angles of a Polygon Inductive and Deductive 8 Period Day 3.4.1 Classify triangles according to sides and angles. 3.4.2 State and apply theorems about the sum of the measures of the angles of a triangle. 3.4.3 State and apply the theorem about the exterior measure of a triangle. 3.5.1 Recognize and name convex polygons and regular polygons. 3.5.2 Find the measures of the interior angles and exterior angles of a convex polygon. 3.6.1 Understand and use inductive and deductive reasoning. Reasoning 3.4 pp. 93-99 SG pp. 33-34 TE p. T85 Block 2 Visua16 RB VanHie1e Act. 1 3.5 pp. 101-105 SG pp. 35-36 TE p. T86 PMS 14 2 1 SG pp. 37-38 TE pp. T86-87 PMS 16 RBP 11 2 1 RBP 12/13 2 1 Do not do coordinate geometry 1 'h 2 1 Visua16 3.6 pp. 106-109 Unit 3 Evaluations 4.0 TIMELINE Congruent Triangles 4.1 Congruent Figures 4.1.1 Identify corresponding parts in a congruence. 4.1 pp. 117-121 SG pp. 39-40 TE pp. T87-88 TE ch. 4 pp. 115c/d Visual 7 RBE p. 210 4.2 Ways to Prove Triangles Congruent (A) 4.2.1 Prove triangles congruent using the S.S.S., 4.2 S.A.S. and A.S.A. postulates. pp. 122-127 SG pp. 41-42 TE pp. T88/89 PMS 17 Visua17 TEXT: Geometry PUBLISHER: TOPIC McDougal Litte11lHoughton Mifflin, copyright 1997 OBJECTIVE AUTHOR: REF JurgenseniBrown/Jurgensen TIMELINE SUGGESTIONS The student will be able to: 8 Period Day Block 4.3 Use Congruent Figures 4.3.1 Deduce in fonnation about segments and angles after proving two triangles congruent. 4.3 pp. 127-132 SG pp. 43-46 TE p. T89 PMS 18 RBP 14 Visuals NDfFI7 2 1 4.4 Isosceles Triangles Theorems 4.4.1 Apply theorems and corollaries about isosceles triangles. 4.4 pp. 134-139 SG pp. 47-50 TE p. T90 VisualS 2 I 4.5 Ways to Prove Triangles 4.5.1 Use the A.A.S. theorem to prove two triangles congruent and the HL theorem to 4.5 pp. 140-145 SG pp. 51-54 TE pp. T90f91 PRM 19 RBP 15 Visual 8 2 1 Congruent (B) prove right triangles congruent. 4.6 (Optional) 4.6.1 Prove two triangles congruent by first proving two other triangles congruent. 4.6 pp. 146-151 SG pp. 55-56 TE p. T91 PMS 20 Visual 9 1 '12 4.7.1 Apply the definitions of the medians, altitudes and perpendicular bisectors of a triangle. 4.7 pp. 152-158 SG pp. 57-58 TE pp. T91-92 PMS 21 RBP 16 Visua19 2 1 4.7.2 State and apply the theorem and converse RBP 17 2 1 Using More than One Pair of Congruent Triangles 4.7 Medians, Altitudes, and Perpendicular Bisectors about a point on the perpendicular bisector of a segment. 4.7.3 Unit 4 Evaluation State and apply the theorem and converse about a point on an angle bisector. TEXT: Geometry PUBLISHER: TOPIC McDougal LitteWHoughton Mifflin, copyright 1997 OBJECTIVE AUTHOR: Jurgensen/Brown/Jurgensen REF SUGGESTIONS The student will be able to: 5.0 TIMELINE 8 Period Day Block Ph 1 Quadrilaterals 5.1 Parallelograms and Their Properties 5.1.1 5.1.2 Apply the defmition of a parallelogram. 5.1 pp. 167-171 Apply theorems about the properties of parallelograms. SG pp. 59-60 TE pp. T92193 TE ch. 5 pp. 165cld Visual 10 RBEA pp. 211-215 RB Computer Act. p. 242 RB VanHiele Act. 1 5.2 Ways of Proving that 5.2.1 5.3 5.4 5.5 Theorems Involving Parallel Lines and Quadrilaterals Special Parallelograms Trapezoids Unit 5 Evaluations Ph Apply four theorems and five methods to prove quadrilaterals are parallelograms. 5.2 pp. 172-176 5.3.1 Apply the three theorems about parallel lines. 5.3 pp. 177-182 5.3.2 Apply the midpoint theorem for triangles. SG pp. 63164 TE p. T94 PMS 26 RBP 18 Visual 10 5.4.1 Apply the definitions and identify the special properties of a rectangle, a rhombus, and a square. 5.4 pp. 184-189 2 5.4.2 Detennine whether a parallelogram is a rectangle, rhombus, or square. SG pp. 65-66 TE pp. T94195 PMS 27 Visual!1 RB VanHiele Act. 2 5.5.1 Apply two theorems about the properties of a trapezoid and an isosceles trapezoid. 5.5 pp. 190-194 SG pp. 67168 TE pp. T95196 PMS 28 RBP 19 Visual 11 RB VanHiele Act. 3 2 RBP 20121 2 Quadrilaterals are Parallelograms Do not do proofs SG pp. 61-62 TE pp. T93194 PMS 25 Visual 10 'h 1 1 TEXT: Geometry PUBLISHER: McDougal Litte11lHoughton Mifflin, copyright 1997 TOPIC OBJECTIVE AUTHOR: Jurgensen/Brown/Jurgensen REF The student will be able to: 6.0 TIMELINE SUGGESTIONS 8 Period Day Block SG pp. 71172 TE pp. T97/98 PMS 31 RBEAp.216 2 1 SG pp. 73174 TE pp. T98/99 TE ch. 6 pp. 201c/d PMS 32 2 Reasoning and Indirect Proof 6.1 Inverses and Contrapositives 6.1.1 6.1.2 Write the inverse and contrapositive of a conditional statement. 6.2 pp.208-212 Use Venn diagrams to determine the truth of the conclusion of a conditional. 6.2 Indirect Proof 6.2.1 Write indirect proof in paragraph form. 6.3 pp.214 Unit 6 Evaluation 7.0 1 'h 2 1 Similar Polygons 7.1 Ratio and Proportion 7.1.1 Identify and write ratios and proportions. 7.1.2 Express ratios in simplest form. 7.1 pp.241-244 SG pp. 79/80 TE p. TlOI Visua114 RBEAp.217 RB Computer Act. p. 243 7.2 Properties of Proportions 7.2.1 Solve for an unknown in a given proportion. 7.2 pp. 245-248 7.2.2 Express proportions in equivalent forms. SG pp. 81/82 TE pp. TlOllI02 PMS 37 2 Visual 14 7.3 Similar Polygons 7.3.1 State and apply the properties of similar polygons. 7.3 pp.248-252 SG pp. 83/84 TE pp. TI02/103 TE ch. 7 pp. 239a1b PMS 38 RBP 25 Visual 14 2 1 TEXT: Geometry PUBLISHER: TOPIC MCDougal Littell/Houghton Mifflin, copyright 1997 OBJECTIVE REF AUTHOR: Jurgensen/Brown/Jurgensen SUGGESTIONS The student will be able to: 7.4 Similar Triangles 7.4.1 Prove triangles similar with the A.A. similarity postulate. 7.4.2 Use similar triangles to deduce information about segments or angles. Proportional Segments in Similar Triangles Unit 7 Evaluations Mid Term Exam 8 Period Day Block 7.4 pp.254-260 SG pp. 85/86 TE pp. Tl03/104 PMS 39 Visuals E, 15 Ph I 7.5 pp.263-267 SG pp. 87/88 TEp. Tl04 PMS 40 RBP26 Visuals E. 15 Ph I S.S.S. similarity theorems. 7.5.1 Apply the triangle proportionality theorem and its corollary. 7.6 pp.269-273 2 I 7.5.2 State and apply the triangle angle bisector theorem. SG pp. 89/90 TE pp. T-I04/106 PMS 41 RBP27 Visual 15 PMS 42 RBP 28/29 2 I 7.4.3 7.5 TIMELINE Prove triangles, similar with the S.A.S. and TEXT: PUBLISHER: Geometry McDougal LitteWHoughton Mifflin, copyright 1997 TOPIC OBJECTIVE REF AUTHOR: Jurgensen/Brown/Jurgensen The student will be able to: 8,0 Right Triangles and Trigonometry 8.1 8 Period Day Block . Right Triangle Similarity 8.1.1 Determine the geometric mean between two numbers. 8.2 TIMELINE SUGGESTIONS The Pythagorean Theorem and It's Converse 8.1.2 State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. 8.2.1 State and apply the Pythagorean theorem. 8.2.2 State and apply the converse of the Pythagorean theorem. 8.2.3 Recognize familiar right triangle lengths. 8.1 pp.285-290 SG pp. 91192 TE pp. Tl061107 Visual 16 RBEA pp. 218-219 RB Computer Act. pp. 244·249 2 I 8.2 pp.290-294 SG pp. 93194 TE p. Tl07 TE ch. 8 pp. 283cld PMS 43 RBP31 2 1 2 1 Visuals F, 16 8.3 Special Right Triangles 8.3.1 Determine lengths of sides of 45°-45°_90° and 30°-60°_90° triangles. 8.4 pp.3OO-303 SG pp. 97198 TE pp. Tl081109 PMS 44 RBP32 Visual 16 8.4 The Sine, Cosine and Tangent 8.4.1 Define the sine, cosine, and tangent ratios for the acute angles of a right triangle. 8.5 pp.305-310 8.4.2 Solve right triangle problems using the sine, cosine, and tangent ratios. 8.6 pp. 312-316 SG pp. 99-102 TE p. Tl09 Visual 17 TE pp. Tl091110 PMS 45 8.5.1 Solve right triangle problems by correct selection and use of the sine, cosine and tangent ratios. 8.7 pp.317-320 Ratios 8.5 Applications of Right Triangle Trigonometry Unit 8 Evaluation 'h 2 I SG pp. 103-106 TE pp. TllOllll PMS 46 RBP 37 Visual 17 2 I PMS 49 RBP34 2 I TEXT: Geometry PUBLISHER: McDougal LitteWHoughton Mifflin, copyright 1997 OBJECTIVE TOPIC AUTHOR: Jurgensen/Brown/Jurgensen 8 Period Day The student will be able to: 9.0 TIMELINE SUGGESTIONS REF Block Circles 9.1 Basic Terms 9.1.1 Define a circle and a sphere and the terms related to them. 9.2 Tangents 9.1.2 Recognize inscribed polygons and circumscribed circles. 9.2.1 Apply theorems that relate tangents and radii. 9.2.2 9.1 pp. 329-331 SO pp. 107/108 TE pp. T1111112 Visuals D, 18 RBEA 220-221 RB computer Act. pp. 250-253 9.2 pp. 333 SO pp. 109/110 TE pp. T112/113 PMS 50 Visual 18 Recognize circumscribed polygons and 'h 2 inscribed circles. Reteaching Activities Workbook 9.2.3 pp.68-76 Identify lines that common tangents to two circles. 9.3 9.4 Arcs Chords 9.2.4 Identify the tangent relationships of circles. 9.3.1 Distinguish the different types of arcs. 9.3.2 Determine central angles. 9.3.3 Determine the measures of arcs and their related central angles. 9.4.1 Apply three theorems that state properties of chords and arcs of a circle and congruent circles. 9.3 pp. 339-343 SO pp. 1111112 TE p. Tll3 Visual 18 2 9.4 pp.344-348 SO pp. 113/114 TE pp. T113/114 PMS 51 RBP35 Visual 18 2 1 TEXT: Geometry PUBLISHER: McDougal LittelllHoughton Mifflin, copyright 1997 OBJECTIVE TOPIC AUTHOR: Jurgensen/Brown/Jurgensen 8 Period Day The student will be able to: 9.5 Angles 9.5.1 Identify inscnbed angles and solve problems with the four theorems involving inscribed angles. TlMELINE SUGGESTIONS REF 9.5-9.6 pp. 357-361 SO pp. 115/116 TEp. T114 PMS 52 Block 2 Visua119 9.5.2 9.5.3 Determine measures of angles formed by chords, secants, and tangents. Solve problems involving the angles of a circle. 9.6 Circles and the Lengths of Segments 9.6.1 Solve problems involving the lengths of chords, secant segments, and tangent segments. 9.7 pp. 361-365 SO pp. 117/118 TE pp. T114/115 TE ch. 9 pp. 327c/d PMS 53 Visual 19 2 SO pp. 119/120 TE pp. T115/116 PMS 54 RBP 36 2 I Visuals G, 19 Unit 9 Evaluations PMS 55 RBP57 2 SO pp. 137/138 TE pp. Tl22/123 Visual 23 RBEA pp. 225-227 2 I 10.0 Areas of Plane Figures 10.1 Areas of Polygons 11.1 pp.423-427 10.1.1 State and apply the formulas for finding areas of squares and rectangles. 10.1.2 Apply the area addition postulate. RB Computer Act. p. 255 2 10.1.3 State and apply the fonnulas for finding SO pp. 139/140 TE p. Tl23 PMS 64 Visuals H. 23 2 I SO pp. 1411142 TE p. Tl23 PMS 65 Visuals G. H. 23 2 I 2 I areas of parallelograms, triangles, and rhombuses. 10.1.4 State and apply the fonnulas for finding areas of trapezoids. 10.1.5 Know and use the fonnula for finding the areas of regular polygons. SO pp. 143/144 TE pp. Tl23/124 PMS 66 RBP43 Visual 23 RB VanHiele Act. 4 TEXT: Geometry PUBLISHER: TOPIC McDougal LittelllHoughton Mifflin, copyright 1997 AUTHOR: JurgenseniBrown/Jurgensen The student \Vi.ll be able to: 10.2 Circles and Parts of Circles TIMELINE SUGGESTIONS REF OBJECTIVE 8 Period Day Block SG pp. 145/146 TE pp. Tl24/125 PMS 67 Visual 24 2 1 SG pp. 147/148 PMS 68 RBP44 Visual 24 3 Ph 2 1 3 Ph SG pp. 1551156 TE pp. Tl281129 PMS 72 Visual 25 3 Ph 12.3 pp.490-495 SG pp. 1571158 TE pp. 129-130 TE ch. 12 pp. 473cld PMS 73 RBP 47 Visual 25 RBDM 9,10 2 1 12.4 pp.497-502 SG pp. 1591160 TE p. T130 PMS 74 2 1 10.2.1 State and apply the circumference and area formulas for circles. 11.5 pp.445-450 10.2.2 State and apply the formulas for finding lengths of arcs and areas of sectors. 11.6 pp.452-455 Unit 10 Evaluation 11.0 Areas and Volumes of Solids 11.1 Prisms 11.1.1 Known the terminology related to prisms. 11.1.2 State and apply the formulas for the lateral area, total area, and volume of prisms. 12.1 pp.475-480 SG pp. 153 TE pp. Tl27/128 Visua125 RBEAp.229 RB Computer Act. pp. 240-241 RBDM5 11.2 Pyramids 11.2.1 Know the terminology related to pyramids. 12.2 pp.482-486 11.3 Cylinder and Cones 11.4 Spheres 11.2.2 State and apply the formulas for lateral area, total area, and volume of pyramids. 11.3.1 Know the terminology related to cylinders and cones. 11.3.2 State and apply the formulas for lateral area, total area and volume of cylinders and cones. 11.4.1 State and apply the formulas for the area and volume of spheres. Visuals E, I, J. K, 26 TEXT: Geometry PUBLISHER: TOPIC McDougal LitteWHoughton Mifflin, copyright 1997 OBJECTIVE AUTHOR: Jurgensen/Brown/Jurgensen REF The student will be able to: 11.5 (Optional) Similar Solids 11.5.1 State and apply the relationship between areas and volumes of similar solids. TIMELINE SUGGESTIONS 8 Period Day Block SG pp. 1611162 TE pp. T130/131 PMS 75 RBP 48 Visuals E. 26 1 'h PMS 76 RBP 49150 2 13.1 pp.523-528 SG pp. 163/164 TE pp. T1311132 PMS 79 RBEA pp. 230-234 RB Computer Act. pp. 257-259 3 Ph 13.2 pp.529-534 SG pp. 165/166 TE pp. T132/133 2 1 3 Ph 12.5 pp. 508-513 Unit 11 Evaluations 12.0 Coordinate Geometry 12.1 Distance Formula 12.2 Slope of a Line 12.3 Vectors 12.1.1 Know the terminology of the cartesian coordinate system. 12.1.2 State and apply the distance formula. 12.1.3 State and use the center-radius equation of a circle. 12.2.1 Understand the concept of slope. 12.2.2 Identify lines with positive, negative, 0, and undefined slopes. 12.2.3 Demonstrate the relationship of the slopes of parallel lines and perpendicular lines. 12.2.4 Solve problems using the relationship of slopes of parallel and perpendicular lines. 12.3.1 Know the tenninology of vectors. 12.3.2 Sketch vectors and identify as ordered pairs. 12.3.3 Find the magnitude and scalar mUltiple of a vector. 12.3.4 Find the sum of 2 vectors. Visua127 13.3 pp.535-538 SG pp. 167/168 TE pp. T133/134 PMS 80 RBP 51 Visual 27 13.4 pp.539-543 SG pp. 169/170 TE p. T134 Visual 27 TEXT: Geometry PUBLISHER: McDougal LittelllHoughton Mifflin, copyright 1997 OBJECTIVE TOPIC REF AUTHOR: Jurgensen/Brown/Jurgensen 8 Period Day The student will be able to: 12,4 The Midpoint Formula 12,4,1 State and apply the midpoint formula. TIMELINE SUGGESTIONS 135 pp.544-547 SG pp, 1711172 TE pp. T134/135 PMS 81 RBP 52 Block 'h Visuals F. 27 12.5 Equations of Lines Unit 12 Evaluations 13.0 Constructions (Optional) 125.1 Graph linear equations. 12.5.2 Write equations of lines in standard form. 12.5.3 Know and apply slope-intercept form of equations of lines. 125.4 Know and apply point-slope form of equations of lines. 13.6 pp.548-552 SG pp. 173/174 TE p. T135 3 1'h 13.7 pp.553-556 SG pp. 175/176 TE pp. T135/136 PMS 82 RBP 53 3 1'h PMS 84 RBP 54 2 1 TEXT: Geometry PUBLISHER: TOPIC McDougal LitteWHoughton Mifflin, copyright 1997 OBJECTIVE REF AUTHOR: Jurgensen/Brown/Jurgensen The student will be able to: 13.1 Seven Basic Constructions 13.1.1 Construct a segment. 13.1.2 Construct an angle congruent to a given angle. 13.1.3 Construct an angle bisector. 13.1.4 Construct the perpendicular bisector of a segment. 13.1.5 Construct the perpendicular to a line at a given point. 13.1.6 10.1 pp.375-379 TIMELINE SUGGESTIONS SG pp. 121-124 TE pp. T116/117 8 Period Day Block lh Ih for topic 13.1 RB Computer Act. p. 254 10.2 pp. 280-385 TE pp. Tl17 TE ch. 10 pp. 373c/d PMS 56 lh 10.3 pp.386-389 SG pp. 125/126 TE pp. Tl17/118 PMS 57 RBP38 RBEA pp. 222-223 pp. 150-158 2 Construct the perpendicular to a line from a given point. 13.2 Concurrent Lines 13.1.7 Construct a line parallel to a given line through a given point. 13.2.1 Apply four theorems involving concurrent lines and triangles. Reteaching Activities Workbook pp. 107-113 1 TEXT: Geometry PUBLISHER: McDougal Litte11lHoughton Mifflin, copyright 1997 OBJECTIVE TOPIC REF AUTHOR: Jurgensen/Brown/Jurgensen 8 Period Day The student will be able to: 13.3 Circles 13.3.1 Construct the tangent to a circle at a given point on the circle. 13A Special Segments 13.3.2 Construct a tangent to a circle from a point outside the circle. 13.3.3 Circumscribe a circle about a triangle. 13.3.4 Inscribe a triangle in a circle. 13.4.1 Divide a segment into a given number of congruent parts. 13.4.2 TlMELINE SUGGESTIONS Block 10.4 pp. 392-396 SO pp. 127/128 TE pp. T118/119 REDM 3/4/5 II< 10.5 pp.396-399 SO pp. 129/130 TE p. T119 PMS 58 REP 39 RED 6/7 II< 10.6 pp. 401-405 SO pp. 130/131 TE pp. T119/120 REP 43 Given three segments, construct a fourth segment so that the four segments are in proportion. 13.5 Locus Problems 13.4.3 Construct the geometric mean of two given segments. 13.5.1 Describe the locus that satisfies a given condition. Unit 13 Evaluations 13.5.2 Describe the locus that satisfies more than one given condition. 13.5.3 Apply the concept of locus in the solution of construction exercises. 2 2 1