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1 Curriculum Map for Geometry CL 2010-2011 (new curriculum)     
2      
3  Semester 1 E: Essential I: Important C: cursory   
4      
5Chapter 1 Tools of Geometry : overall intro of ideas     
6      
7 Section Topic Previous PE Notes 
8   Book   
9 1.1 Imp Points, Lines, Planes, Rays, and Segments 3.1  estimated days: 
10      
11 1.2 Imp Name & Classify angles, duplicate and bisect 3.2, 5.6  book: 9 
12     test: 2 
13 1.3 Imp Complements, Supplements, Midpoints, 3.2, 4.6, G.2.C, G.4.B computer: 0 
14  Perpendicular & Perp bisectors 5.6   
15 1.4 Imp Two methods of logical reasoning  G.1.A Total: 11 
16      
17 1.5 Imp Conditional statements, Postulates, Theorems 5.2 G.1.A,G.1.F  
18      
19 1.6 Imp Paragraph, two-column, construction 5.2, 5.3 G.l.F sem to date:11 
20  and flow chart Proofs    
21      
22 Chapter 2 Parallel and Perpendicular Lines     
23      
24 2.1 Ess Angles from transversals, parallel and 5.1 G.1.F, G.2.A  
25  non-lines    
26 2.2 Ess Congectures about angles formed by 5.1 G.2.B book: 9 
27  parallel lines cut by transversal   test: 2 
28 2.3 Ess Theorems: alt. int angles, alt ex angles 5.2 G.2.B computer: 4 
29  same-side int and ext angles    
30 2.4 Ess Parallel Line Converse Theorems 5.3 G.2.B, G.2.C Total: 15 
31      
32 2.5 Imp Naming Geometric Figures 1.1, 3.4 G.1.F  
33      
34 2.6 Imp Classifying Triangles & Quadrilaterals 3.3, 9.1 G.3.A,G.3.G sem to date:26 
35    (G.1.B)  
36Chapter 3 Perimeter and Area (appears in 5th & 6th grade PE's)     
37      
38 3.1 Imp Area & Perimeter of rectangles and squares 1.1, 1.2 prior grades  
39      
40 3.2 Imp Area of parallelograms and triangles 1.2, 1.3 G.3.F, G.4.C book: 6 
41     test: 2 
42 3.3 Imp Area of trapezoid 1.4 G.3.G computer: 3 
43      
44 3.4 Imp Area of regular polygons 1.5 G.3.G Total: 11 
45      
46 3.5 Imp Area & circumference of circle 1.6 G.3.G  
47      
48 3.6 Imp Area & perimeter of composite figures 1.7 G.3.G sem to date:37 
49      
50 Chapter 4 Rigt Triangle Geometry     
51      
52 Section Topic Previous PE Notes 
53   Book   
54 4.1 Ess Theorems: triangle sum, exterior angle 3.3 G.3.A  
55  and exterior angle inequality   book: 11 
56 4.2 Ess Simplify radicals, pythagorean theorem 4.1, 4.2 G.3.D test: 2 
57  & converse   computer: 4 
58 4.3 Ess Properties of 45-45-90 Triangle 4.3 G.3.C, G.4.C  
59     Total: 17 
60 4.4 Ess Properties of 30-60-90 Triangle 4.4 G.3.C, G.4.C  
61      
62 4.5 Ess The triangle inequality theorem 3.5 G.3.A sem to date:54 
63      
64 Chapter 5 Similarity     
65      
66 5.1 Imp Review of Ratio and Proportion 7.1 prior grades  
67     book: 7 
68 5.2 Imp Similar Polygons 7.2 G.3.B test: 2 
69     computer: 3 
70 5.3 Imp Similar Triangle Postulates 7.3 G.3.A, G.3.B  
71     Total: 12 
72 5.4 Imp Angle/Bisector/Proportional Side Theorem 7.3 G.3.A, G.3.B  
73      
74 5.5 Imp Similar Right Triangles 7.3? G.3.A, G.3.B sem to date:66 
75      
76 5.6 Imp Application of Similar Triangles 7.4 G.3.A, G.3.B  
77      
78 Chapter 6 Congruence     
79      
80 6.1 Ess Constructing Triangles new G.3.A  
81     book: 8 
82 6.2 Ess SSS,SAS,ASA,AAS, or AAS 8.2, 8.3 G.3.A, G.3.B test: 2 
83     computer: 2 
84 6.3 Imp HL, LL, HA, and LA 8.4 G.3.A, G.3.B  
85     Total: 12 
86 6.4 Imp Corresponding Parts of Congruent Triangles 8.3, 8.4 G.1.C  
87  are congruent    
88 6.5 ? Theorems: triangle Base, vertex angle, perpen new or 5.6 unclear sem to date:78 
89  bisector, Alt to congru sides & angle bisector    
90 6.6 ? Inverse, Contrapositive, Direct & indirect proof new G.1.D  
91 End of semester 1( end of Jan) Days remain for semester review, test and flex days     
92      
93      
94 Chapter 7 Right Triangle Trigonometry     
95      
96 Section Topic Previous PE Notes 
97   Book   
98 7.1 Imp Tangent, Cotangent and Inverse Tangent 11.1 G.3.E Book: 4 
99     Test: 2 
100 7.2 Imp Sine, Cosecant and Inverse Sine 11.2 G.3.E Computer: 2 
101      
102 7.3 Imp Cosine, Secant and Inverse Cosine 11.3 G.3.E Total: 8 
103      
104 7.4 curs Angles of Elevation and Depression 11.4 G.3.E sem to date: 8 
105  (good application to use as desired)    
106      
107 Chapter 8 Quadrilaterals     
108      
109 8.1 Ess Properties of Rectangles and Squares 9.4 G.3.F  
110     Book: 8 
111 8.2 Ess Properties of Parallelograms and Rhombi 9.3 G.3.F Test: 2 
112     Computer: 3 
113 8.3 Ess Properties of Kites and Trapezoids 9.2 G.3.G  
114     Total: 13 
115 8.4 Ess Concave, Convex, Regular, Irregular and 9.5 G.3.G  
116  sum of interior angles of a polygon    
117 8.5 Imp Sum of the exterior angles of a polygon 9.6 G.3.G  
118     sem to date:21 
119 8.6 Imp Relating various quadrilaterals by properties 9.7   
120      
121 Chapter 9 Geometry in the Coordinate Plane     
122      
123 9.1 Imp Parallel / Perpendicular lines in coordinate 5.4 G.2.C, G.4.A  
124     Book: 7 
125 9.2 Ess The distance formula 4.5 G.3.D, G.4.B Test: 2 
126    G.4.C computer: 4 
127 9.3 Ess The Midpoint formula 4.6 G.4.B  
128     Total: 13 
129 9.4 Imp Exploring triangles & midpoints in the 5.5 G.4.C  
130  coordinate plane    
131 9.5 curs Points of concurrency in the coordinate plane 5.7  sem to date:34 
132      
133 9.6 Imp Quadrilaterals in the coordinate plane 9.7 G.4.C  
134      
135Chapter 10 Transformations (all are done in 8th PE's)     
136     Book: 6 
137 10.1 Ess Reflections 6.1 G.5. A,B,C,D Test: 2 
138 10.2 Ess Rotations 6.2 same Computer: 2 
139 10.3 Ess Translations 6.3 same  
140 10.4 Ess Dilations 6.4 same Total: 10 
141 10.5 Ess Symmetry 6.5 G.5.D  
142 10.6 curs Tessellations & Fractals 9.1/8.5  Sem to date:44 
143      
144 Chapter 11 Circles     
145      
146 Section Topic Previous PE Notes 
147   Book   
148 11.1 Ess Introduction to Circles 10.1 G.3.I  
149     Book: 14 
150 11.2 Ess Central , inscribed and intercepted angles 10.2 G.3. H,I (G.6.A) Test: 2 
151     Computer: 0 
152 11.3 Ess Measuring Angles inside and outside 10.3 G.3.H,I  
153  of circles   Total: 16 
154 11.4 Ess Chords and circles 10.4 G.1.D, G.3.I  
155      
156 11.5 Ess Tangents and circles 10.5 G.3.H,I (G.6.A) sem to date:60 
157      
158 11.6 Ess Inscribed and circumscribed triangles & quads 10.6 G.6.A  
159      
160 11.7 Ess arc length 10.7 G.3.H, G.6.A  
161      
162 11.8 Ess sectors & segments of a circle 10.7 G.3.H, G.6.A  
163      
164 11.9 Ess circles and polygons in the coordinate plane  G.4.D  
165      
166 Chapter 12 Volume and Surface Area     
167      
168 12.1 Ess Nets and Polyhedra new G.3.J Book: 9 
169     Test: 2 
170 12.2 Ess Volume and surface area of a prism 2.2, 2.3 G.6.C D Computer: 7 
171      
172 12.3 Ess Volume and surace area of a pyramid 2.4, 2.5 same Total: 18 
173      
174 12.4 Ess Volume and surface area of a cylinder 2.6 same  
175      
176 12.5 Ess Volume and surface area of a cone 2.7 same sem to date 78 
177      
178 12.6 Ess Volume and surface area of a sphere 2.8 same  
179      
180 Chapter 13 Extensions in Area and Volume     
181      
182 13.1 Cross Sections  G.3.K 1 or 2 days 
183      
184     sem to date:80 
185      
186  end of year with days for review, final and state test and flex days    
187      
188  Where does this curriculum cover? G.2.D   
189   G.6.B   
190   G.6.E   
191   G.6.F   

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