GEOMETRY SYLLABUS 2007/2008
UNIT ONE: EXPLORING GEOMETRY
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Lesson
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Assignment Number |
Assignment
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| 1.1 Intro to Geometry/basic geometric objects |
1 |
cement piling problem; rd and study sec 1.1(take notes on segment, ray, angle); think about table problem |
Freshman retreat assignment |
read and study Sec 1.1. Take notes (including diagram and notation) for points, lines, planes, segment, ray,angle, collinear, coplanar. Activity pg 12: Geometry Ideas in a model
pg 14-15/9-12,18-28,31-40 |
|
| 1.1 Intro to geometry/basic geometric objects |
2 |
classroom ex ws; pg 12 Geometry ideas in a model --write postulates on back of ws |
| 1.1 Intro to geometry/basic objects | 3 |
Written ex ws on points, lines and planes/ 1-10, 13-26,29-32 |
4 |
Plane game ws; table problem | |
| 1.2 Length and Distance |
5 |
pg 21/6-9, 11-17, 20-22; study for quiz over Sec 1.1 |
| 1.2 Length and Distance | 6 |
segments ws/1-40(omit 9, 10,17,18,22,30) |
Off day 1 |
Linear Equations ws/ 1-46 odds(show all algebra steps) | |
| 1.3 Angles |
7 |
pg 31-32/8-11, 14-26,33-38 |
| 1.3 Angles |
8 |
comp/supp angles ws/do all problems on front and back and show all alg equations |
| 1.6 Transformations | 9 |
pg 54-56/8-10,32,39,40; Robot Milkmaid Problem |
| 1.6/1/7Coopertative groups/coordinate transformations | 10 |
pg 64-66/13,15,18-28,31,36-42 |
|
Off Day 2 |
Alg review ws: systems of equations/ 1-18 |
|
| Test 1-1 |
Thur 9/13 |
Sec 1.1, 1.2, 1.3, 1.6. 1.7 |
CONSTRUCTIONS AND CONJECTURES
| 1.4/1.5 Conjectures and Paper folding | 11 |
pg 38/ Act. 3 part 2 |
| 1.4/1.5 Conjectures and computer work | 12 |
draw inscribed circle with compass; pg 48/27 |
| 1.4/1.5 Conjectures and computer work | 12 |
pg 48/26,27 |
| 1.4/1.5 Conjectures and computer work | 13 |
Study for quest; conjectures-points in triangles practice ws |
| Quest on conjectures and explanations | Mon 9/24 14 |
logic "grid" problems |
UNIT 2: LOGICAL REASONING
AND PROOF
| 2.1 Introduction to proof | 15 |
Cooper/Laine logic puzzle; pg 81/ Activity 1, part 2; pg 83/12 |
| 2.2 Intro to Logic, Conditionals, Converses, Syllogisms | 16 |
Read and Study sec 2.2, pg 90-93; pg 94/1-5, 9-12 |
| 2.2 Intro to Logic, Conditionals, Converses, Syllogisms | 17 |
pg 95/13-23, 25-35 odds |
| 2.3 Defining definitions | 18 |
Logical Chain puzzle; pg 103/8-13, 23-25 |
| 2.4 Algebra Properties/ Creating Proofs | 19 |
Geom/Alg properties ws; pg 1and 2/ 1 -19; pg 3Classroom ex/1-10; Written ex/ 1-3 |
| 2.4 Algebra Properties/ Creating Proofs | 20 |
Geom/Alg properties ws; pg 2/ 21-23; pg 3Classroom ex/11,12; Written ex/ 7-10; draw the lines linking the steps in the proofs; Study for Quiz over Geom/Alg properties |
Off Day 3 |
Alg Review ws; Quadratic Equations/1-27 odds | |
| 2.4 Algebra Properties/ Creating Proofs | 21 |
Prove Theorem on notesheet 39 (use proof for Overlapping Segments Theorem as your model) |
22 |
Practice Proofs ws/1-5 (pg 1); 1-3(pg 2); odds--2 column, evens--flow chart | |
| 2.5 Conjectures/Proofs; Vertical Angle Theorem | 23 |
Practice Proof ws: vertical angle proofs; pg 122/17-20 |
| Test 1-2 | Thurs 10/11 |
Sec 2.1, 2.2, 2.3, 2.4, 2.5 |
UNIT THREE: PARALLEL LINES AND POLYGONS
| 3.3 Parallel lines and transversals | 24 |
pg 159-160/13-35, put #34 and #35 in class notesheets |
| 3.3 Parallel lines and transversals | 25 |
Parallel lines/transversal packet; pg 2, 3, 4 show all work |
| 3.4 Proving that Lines are Parallel | 26 |
Proving lines parallell ws; front/1-11, back/1-15 write out the theorems with your answers |
| 3.5 Triagle sum Theorem | 27 |
triangle sum thm ws/5-20, 29 |
| 3.6 Interior and Exterior angles of Polygons | 28 |
polygon ws/1-11 and puzzle on back; study for quiz over sec 3.3 and sec 3.4 |
| 3.6 Interior and Exterior angles of Polygons | 29 |
Polygons ws/11 to end of ws
|
| 3.7 Midsegments of Triangles and Trapezoids | 30 (due Thurs 11/1) |
pg 187-188/10-18,22,28 |
| 3.8 Review of Slope | 32 |
pg 194/13-19 odds; 20-28 |
| Test 1-3 | Wed 11/7 |
3.3, 3.4, 3.5, 3.6, 3.7 |
UNIT 4: CONGRUENT TRIANGLE PROOFS
| 4.1 Congruent Polygons; Road Kill Triangles | 31 |
Road Kill Triangles cut out. (Due Mon 11/5) |
| 4.1 Congruent Polygons; Definition of Congruent Polygons | 33 |
pg 214/12,13,16-18,21-28 |
| 4.2-4.4 Congruent Triangle Proofs | 34 |
SAS,SSS,ASA ws/side 1/1-8, side 2, Written ex/1-16 |
| 4.2-4.4 Congruent Triangle Proofs | 35 |
congruent triangles fill in blanks proofs ws (draw arrows connected steps also) |
| 4.2-4.4 Congruent Triangle Proofs | Begin Winter term 1 |
Congruent triangle proofs ws--odds (2-column), evens--(flow chart) |
| 4.2-4.4 HL, AAS | 2 |
Proving Conjectures ws, front/1,2; back/1-5; odds (2 column), evens (flow chart). |
| 4.2-4.4 Isosceles Triangle Theorem and overlapping triangles | 3 |
Finish proof from class; Isos triangle thm practice ws/ 1-14 |
| 4.2-4.4 More challenging proofs | 4 |
more proofs ws. odds (2 column), evens (flow chart) |
| Test 2-1 | Wed 12/5 |
4.1, 4.2, 4.3, 4.4 |
UNIT 5: CONSTRUCTING PROOFS AND WRITING PROOF BOOKLETS
Off Day 1 |
Bring compass, ruler to class for fri 12/7 | |
| 4.7 Constructing Proofs | 5 |
congruent segment construction ws |
| 4.7 Constructing Proofs | 6 |
Lesson 4.7 Construction ws |
| 4.7 Constructing Proofs | 7 |
Perpendicular Construction ws; Bring books tomorrow |
| 4.5/4.6 Writing Proof Booklets | 8 |
proof booklets 1 and 2 |
| 4.5/4.6 Writing Proof Booklets | 9 |
proof booklets 3 and 4 |
| 4.5/4.6 Writing Proof Booklets | 10 |
proof booklet 5 |
| booklets due for a quiz grade on Wed 12/19 | ||
| Test 2-2 | Wed 1/9 |
Sec 4.5, 4.6, 4.7 |
UNIT 6: AREA RELATIONSHIPS
| 5.1 Area Basic Concepts | 11 |
Finish Act 2 pg 297; pg 298/5, 6, 24, 25, 35, 36 |
off day 1 |
Alg Review ws: Fractions/ 1-18 | |
| 5.2 Area Relationships among parallelograms, triangles, and trapezoids | 12 |
Area triangle, parallelogram, trapezoid ws. |
| 5.2 Area Relationships among parallelograms, triangles, and trapezoids | 13 |
pg 308-309/6 -18, 43-45 |
| 5.2 Area Measurement | take home quiz |
Area Measurement ws |
| 5.3 Circumference and Area of Circles | 14 |
pg 317/8-10,14-31.33.35 |
| 5.4 Pythagorean Thm, Alg review: simplifying square roots | 15 |
Alg Review ws/1-20; Pythagorean Thm ws/1, 4-10,12 |
| 5.4 Converse Pythagorean Thm | 16 |
pg 327/18-30; study pythagorean triples for quiz |
off day 2 |
alg review:evaluating formulas/1-23 odds | |
| 5.5 Special Right Triangles | 17 |
Special rt. triangle ws: (front) 2-20 evens, (back)1 -26 |
| 5.5 Area of Regular Polygons | 18 |
Area of regular polygon ws/ 1-6 and then 1-16 |
| Test 2-2 | Tues 1/29 |
5.1, 5.2, 5.3, 5.4, 5.5 |
UNIT 7: REVIEWING AND EXTENDING COORDINATE GEOMETRY
| 3.8 and 5.6 Distance, Midpoint and Slope formulas | 19 |
pg 343/10,12,14,24-31 |
| 5.7 Coordinate Geometry Proofs | 20 |
Assigning coordinates ws/Classroom ex /1-5; Written ex/1-6 and pg 350/5-16 |
| 5.7 Coordinate Geometry Proofs | 21 |
Organizing Coordinate proofs ws II/ 1, 2 on separate paper; pg351/17-22,27 |
| Review: equations of lines | 22 |
Graphing linear equations ws/1-16 |
| Review: equations of lines | 23 |
Writing linear equations ws/1-26 (put all equations in slope-intercept form) |
| 6.4 Coordinates in 3 dimensions | 24 |
pg 399/6-8.13-16 (use your 3D model) |
| 6.4 Coordinates in 3 dimensions | 25 |
pg 399/17-38,43,44; put 3-d distance formula(pg 398) on notesheet 131. |
| 6.5 Equations of planes in space | 26 |
pg 405/6,7,13-17 sketch planes and show chart with intercepts (see ex 1 pg 403) |
| Test 2-3 | Mon 2/18 |
3.8, 5.6, 5.7, 6.4, 6.5 and reviews of linear equations |
MINI-UNIT: 2 AND 3 DIMENSIONAL REPRESENTATIONS
| Building and sketching solids | 27 |
pg 387--make the tetrahedron and octahedron |
| Building and sketching solids | ||
| 6.2/6.3 Prism Sketcthing | Begin Spring Term 1 |
Prism ws; pg392/ 9-20, 26,27 |
| 6.1 Isometric Drawing |
2 |
pg 376-377/33,34,35 |
| 6.6 One and Two Point Perspective | 3 |
city scape 2 point perspective drawing--due Fri 2/29 |
| 6.1 Orthographic Projections | 4 |
pg 376-377/21,31,43 draw only front, side, and top views. |
| picnic table project |
UNIT 8: SURFACE AREA AND VOLUME
| 7.1 Surface Area and Volume Basics/ Ratio of Surface Area to Volume. | 5 |
pg 431 Activity one, part II (on class handout)pg 434-435/6-9,11-27, 31,41, 43 |
| 7.2 Surface Area and Volume of Prisms | 6 |
pg 442/9-24,28,29, and cut out shape |
| 7.3 Surface Area and Volume of Pyramids | 7
| crazy pyramid ws/5-10, 12, 14 ; Study for quiz over sec 7.2 and 7.3 |
| 7.4/7.5 Surface Area and Volume of Cylinders and Cones | 8 |
Cylinders/Cones ws (leave answers in terms of pi) Study for quiz over sec 7.2 and 7.3 |
| 7.6 Surface Area and Volume of Spheres | 9 |
pg 474-475/8-19 |
| Mixed Review | 10 |
spheres ws/2,5,6,7,10; mixed review ws/3-16,18,19 |
| Test 3-1 | Thurs 3/27 |
7.1, 7.2, 7.3, 7.4, 7.5, 7.6 |
UNIT 9: SIMILARITY
| 8.1 Dilations and Scale Factors | 11
|
Drawing dilation ws/1-3 (see Act 2, pg 500);coordinate dilation ws (see pg 498) |
| 8.2 Similar Polygons | 12
|
pentagon dilation ws (draw and measure accurately) |
| 8.2 Similar Polygons | 13
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Similar polygon ws/ front omit #7), back(do only the stamp problem #17), show all work and proportions |
| 8.2 Properties of Proportions | 14
|
proportions ws/9-26,33,34,36 |
| 8.3 Similar Triangles | 15
|
pg 521-522/8-20; study for quiz over 8.2 and 8.3 |
| 8.3 Similar Triangles (Quiz day) | 16
|
ws creating similar triangles |
| 8.4 Side Splitting Theorem | 17
|
pg 528/ 6-24,37 |
| 8.6 Ratios of Areas and Volumes | 18
|
pg 548-549/9-37,46 |
| Test 3-2 | Fri 4/18
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8.1,8.2,8.3,8.4,8.6 |
UNIT 10: TRIGONOMETRY AND CIRCLES
| 10.1/10.2 Introduction to trigonometry | 19 |
pg 640 Activity one: graphs of sin and cos |
| 10.1/10.2 SOHCAHTOA | 20 |
trig packet/front and back of pg 1, show trig equations; study for quiz on SOHCAHTOA |
| 10.1/10.2 trig applications | 21 |
trig packet/ front and back of pg 2, problems 1-8 |
| 10.3 Unit Circle: approximate values and graphs | 22 |
unit circle graphs of sin, cos, and tan
|
| 9.1 Introduction to circles | 23 |
pg 569-570/11-43 |
| 9.2: Tangents to circles | 24 |
pg 577-578/6-14, 19 -24; lifeboat problem |
| 9.3 Inscribed angles and arcs | 25 |
practice sec 9.5 ws (omit #9) |
| 9.6 Circles in coordinate geometry | 26 |
Angle networks 3 and 4; pg 614-616/17-35 odds |
| PICNIC TABLE PROJECT | Fri 5/9 | |
| Test 3-3 | Mon 5/12 |
10.1, 10.2,10.3, 9.1, 9.2, 9.3,9.6 |
ODDS AND ENDS AT THE END/MORE ON PROOF
| 9.4 Changles, Sangles, Stangles and Tangles | 27 |
pg 94/27-37 (tangles and stangles), fill in chart in you packet/40-55 |
| 9.5 Segments in Circles; Similar Triangle Proofs | 28 |
similar triangle proof packet |
| 12.4 Indirect Proof | 29 |
Fire on Lookout Mountain ws |
| 12.4 Indirect Proof | 30 |
pg 795/18-33 Write out complete paragraphs |