Homework Honors Geometry 2004-2005 Mr. Mark Howell

Material for Honors Geometry

 

Pencil and eraser; Pen

Compass, protractor, and straightedge

Spiral notebook for homework

Composition book for journal

Textbook:  Geometry  by Jurgensen et al.

#1  8/26/04 Read 1.1; pp. 3-4: 1-4; 6-10

Terms:  Point, distance, equidistant

#2  8/27/04 Read 1.2; pp. 7-9: 3, 6, 9, 10, 12, 15, 18, 19, 20,

21, 24, 27, 28, 30, 33, 34

Terms:  Points, lines, and planes; collinear and coplanar; intersection

#3  8/30/04 Journal:  Answer challenge question on p. 9;

Read 1.3:  pp. 15-16: 3-45 multiples of 3, 47, 48

symbols for lines, segments, rays; postulates, the ruler postulate;

the segment addition postulate; congruent segments, midpoint and bisector of a segment

#4  8/31/04 Read 1.4; pp. 21-22: 1, 2, 6, 10, 13, 14, 15-36 multiples of 3

angles; vertex and sides of an angle; acute, obtuse, and right angles;

protractor postulate and angle addition postulate; congruent angles;

adjacent angles; bisector of an angle

#5  9/1/04 Read 1.5; pp. 25-261-13 odd; 14-17; 19; Chapter review p. 30:  1-20 

Postulates 5-9; Theorems 1-1 through 1-3

Journal:  How is a postulate different from a theorem?

#6  9/2/04 Review chapter 1 

#7  9/3/04 Test Chapter 1;

Journal:   What did I learn as a result of taking today’s test that I did not know before? 

Read 2.1; p. 35: 1-6, 8, 9

#8  9/7/04 p. 35: 12, 16, 18, 20, 21, 27, 28

conditionals, biconditionals, converse, counterexamples, hypothesis, conclusion

#9  9/8/04 Read 2.2; pp. 41-42: 6, 8, 10, 11-15

Two column proofs; properties from Algebra

#10  9/9/04 Read 2.3; pp. 46-47: 12-19, 21

Midpoint Theorem; Angle Bisector Theorem; deductive reasoning

#11  9/10/04 Read 2.4; pp. 52-53: 3-30 multiples of 3

Complementary and supplementary angles

#12 9/13/04 Read 2.5; pp. 58-60: 3-27 multiples of 3

Perpendicular lines

#13 9/14/04 Read 2.6; pp. 63-64: 2, 4, 6, 9, 11, 12, 16

Planning a proof

#14 9/15/04 p. 64: 19-22

Proofs

#15  9/16/04 pp. 67-8: Ch Review 1-20

#16  9/17/04  Read 3.1; p. 76: 3-27 multiples of 3; 30-39

Parallel lines and planes; skew lines; transversal; alternate interior angles,

corresponding angles; same-side interior angles; alternate exterior angles

#17  9/20/04 Review Ch 2

#18  9/21/04 Ch 2 Test;  Read 3.2; pp. 81-82: 3-24 multiples of 3

Properties of parallel lines (corresponding, alternate interior, and alternate

exterior angles are congruent; same-side interior angles are supplementary)

Journal:  Explain why proof is necessary in Geometry

#19 9/22/04  p. 81: 14; Read 3.3; pp. 87-88: 3-30 multiples of 3

Journal:  What does the Parallel Postulate say?  Name one other “flavor” of geometry

besides Euclidean geometry, and find out who invented it.

Proving lines parallel using alternate interior, corresponding, and alternate exterior angles

#20 9/23/04    Read 3.4; pp. 97-99: 2, 3-30 multiples of 3

Angles of a triangle; Triangle Sum Theorem

#21 9/24/04   Read 3.5; pp. 104-105: 2, 3, 4, 6, 10, 12, 15, 20, 23

Angles of polygons

#22  9/27/04  p. 98: 26; p. 105: 16, 18; Read 3.6; pp. 107-109: 2, 4, 5, 18, 26, 28

Inductive reasoning: making conclusions based on several past observations

#23  9/28/04 pp. 112-113: Chapter Test: 1-14

Journal:  What are the most important ideas in Chapter 3? 

How should I study them to prepare for the test?

#24  9/29/04  Read 4.1; pp. 120-121: 2-10 even; 12-21 multiples of 3

Congruent figures:  figures with the same size and shape

#25  9/30/04 Review Ch 3

#26 10/1/04  Test Ch 3;  Read 4.2; pp. 124-126: 1, 3, 5, 10-16, 18, 19

SAS, SAS, and ASA Postulates

#27 10/4/04    Read 4.3;  pp. 130-131: 3, 4, 8, 11, 12

Using congruent triangles

#28 10/5/04   p. 132: 16; Read 4.4; pp. 137-138: 3, 6, 8, 12, 14, 15, 17, 22

Isosceles Triangles and their special properties

#29 10/6/04   pp. 138-139: 16, 19, 21, 24

Journal:  Why is there no ASS triangle congruence theorem? 

Illustrate your explanation with a construction.

#30  10/7/04     Read 4.5 and exercise 14 on p. 143; pp. 144-145: 4-7, 9, 12, 14

AAS, HL, HA, LL, LA

#31  10/8/04    pp. 144-145: 10, 16, 18, 20

#32 10/12/04     Read 4.6; pp. 149-150: 3, 6, 9, 12 (do proofs in

2 column format); p. 151 Mixed review 1-4, 11

Using more than 1 pair of congruent triangles

#33  10/13/04    Read 4.7; pp. 156-157: 5-13, 19, 22

Medians, altitudes, perpendicular bisectors

#34 10/14/04  p. 158: 26; p. 159: Self test 1, 2, 3, 5

End 1st Quarter

#35 10/15/04     Read 5.1; p. 169: 2, 3, 6, 8, 10, 12, 14

Properties of parallelograms:  opposite sides are congruent;

opposite angles are congruent; diagonals bisect each other

#36 10/18/04  Chapter test pp. 162-163: 1-20; Preparing

 for College Entrance Exams p. 164: 1-9

#37 10/19/04   Review Chapter 4 (test tomorrow, 10/20)

Journal:  What are the most important concepts in Chapter 4,

and why are they important?

#38  10/20/04   Ch 4 test today; p. 163: 6, 12, 24, 30

Journal:  Do you think all lines are congruent to all other lines? 

Explain your answer.  How about all rays?

#39  10/21/04  pp. 170-171: 24, 28, 32, 35; Read 5.2; pp. 174-175: 6, 10, 12, 14, 20

(Five) Ways to Prove a Quadrilateral is a Parallelogram

#40 10/22/04   p. 175: 18; Read 5.3; pp. 180-181: 3-21 multiples of 3

Theorems Involving Parallel Lines

#41  10/25/04  p. 181: 24; Read 5.4; p. 187: 1-10, 14, 17, 28,

properties of rectangles, rhombuses, and squares

#42 10/26/04   Read 5.5; pp. 192-194: 3-21 multiples of 3; 22, 23, 30, 32

Trapezoids

 #43 10/27/04      Read Chapter summary on p. 197; Do

Chapter test p. 199: 1-19

#44 10/28/04  Read 6.1; pp. 206-207: 1-13 odd

Inequalities; Exterior Angle Inequality Theorem

#45 10/29/04   Review Chapter 5 (Test is Tuesday, Nov. 2)

Journal:  What are the two most important ideas in Chapter 5,

and why are those the most important things?

#46  11/1/04   Review Chapter 5

#47  11/2/04    Test Chapter 5;  

Read 6.2; pp. 210-211: 3, 5-8, 10, 12, 15

Inverses and Contrapositives

Journal:  Do you think it is important for math students to learn about

the logic of the various forms of if-then statements?  Support your

answer with a reason.

#48 11/3/04   pp. 211-212: 11, 13, 14, 16, 17, 20

#49  11/4/04    Read 6.3; pp. 216-217: 2, 4, 5, 6, 9, 10, 13

Indirect proof

#50 11/5/04     p. 217: 8, 14, 16, 17, 18, Challenge; Self test p. 218: 1-9 odd

Journal:  Explain in your own words how Euclid proved that there are an infinite

number of prime numbers.

#51 11/8/04     Read 6.4;  pp. 222-223:  1, 2, 5, 6, 8, 9, 10, 12, 15

Inequalities in a triangle

#52 11/9/04   Read 6.5;  pp. 231-232: 1-15 odd

Inequalities for Two Triangles:  SAS Inequality (Hinge Theorem), SSS Inequality

Journal:  Explain in your own words why Theorems 6-5 and 6-6 are

called the “Hinge Theorems”.

#53 11/10/04     pp. 236-237: Chapter Test 1-16

Chapter 6 Test is Monday, Nov. 15

#54  11/12/04    Review Chapter 6

#55  11/15/04   Test Chapter 6; Journal:  What did I learn as the result of taking today’s test

that I did not know before?

p. 239: 1-6, 11

#56 11/16/04  Read 7.1; pp. 243-244: 3-36 multiples of 3

Ratio and proportion.  A proportion is an equation stating that two ratios are equal.

#57  11/17/04   Read 7.2; pp. 247-248:  3-39 multiples of 3

Properties of Proportions; means and extremes

#58 11/18/04    Read 7.3;  pp. 250-252:   2, 3, 4, 6, 8, 9-36 multiples of 3

Similar Polygons have the same shape; CSSPP

Journal:  Explain the difference between congruent shapes and similar shapes.

Are all congruent shapes similar?

#59 11/19/04     Read 7.4;  pp. 257-260: 2, 3, 4, 8,

9-33 multiples of 3

Triangle Similarity (AA)

#60 11/22/04   Read 7.5; pp. 266-267: 3, 4, 6, 9, 12, 13, 18

SAS and SSS Similarity Theorems

Journal:  Do exploration 1 on p. 268 on Sketchpad.  Write up your conclusions in your journal.

#61 11/23/04    pp. 257-258: 14, 19; p. 267: 16;

p. 273: 22, 26; p. 279: 1-16;  Chapter 7 test is Tuesday, Nov. 30

Happy Thanksgiving!

#62  11/29/04  Review Chapter 7

#63  11/30/04  Test Chapter 7; Read 8.1; pp. 288-289: 3-42 multiples of 3

Similarity in Right Triangles

#64  12/1/04  pp. 288-290: 14, 20, 26, 28, 32, 40, 44

Howell on Kairos; class will meet

#65  12/2/04  Read 8.2; pp. 292-293 2, 4, 8, 10, 15, 16, 20, 37, 31

Pythagorean Theorem

Howell on Kairos; class will meet

#66  12/6/04  Read 8.3 p. 297: 1-7, 12, 16

Converse of the Pythagorean Theorem

#67  12/7/04  Catch up day

Journal:  Explain how the converse of the Pythagorean Theorem can be used

to construct a vertical wall.  Be specific.

#68  12/8/04  Review chapters 1-4

#69  12/9/04  Review chapters 5-7

#70  12/10/04  Study for Exam!  Merry Christmas!!

#71  1/4/05   Day 1; pp. 297-298: 8, 11, 13, 14, 17, 19a, 20a

#72  1/5/05  Day 2; Read 8.4; pp. 302-303: 1, 2, 4, 7, 9, 11, 13, 16, 17, 19, 20, 24, 26

Special Right Triangles:  30-60-90 and 45-45-90

#73  1/6/05   Day 3;  p. 303: 28, 32, 36, 38; p. 304 Self Test: 1-7

Memorize the 30-60-90 and 45-45-90 triangle relationships

#74  1/10/05  Day 4;  Read 8.5; pp. 308-309: 3-27 multiples of 3

Tangent Ratio

#75  1/11/05   Day 5; pp. 308-309: 2, 4, 8, 14, 16, 22, 26

#76  1/12/05   Honors  Assembly;  Read 8.6; pp. 314-316: 3-24 multiples of 3

Sine and Cosine Ratios

#77  1/13/05  Day 6;   pp. 314-316: 2, 4, 8, 10, 14, 16, 22

#78  1/14/05  Day 7;   Read 8.7; pp. 318-319: 1, 3, 6, 8, 9, 13

Applications of Trigonometry

Journal:   Explain how you could use trigonometry to determine the height of

your house, without leaving the ground.

#79  1/18/05   Day 8;   pp. 318-319: 2, 4, 14; pp. 324-325: 1-27

#80  1/19/05   Day 1;   Review Chapter 8

#81  1/21/05   Day 2 ;   Test Chapter 8; Read 9.1;pp. 330-331: 1-13

Circle terms:  center, radius, chord, diameter, tangent, point of tangency, sphere,

Congruent circles, concentric circles, inscribed and circumscribed polygons

#82 1/24/05  Day 3;   p. 331: 18, 19; Read  9.2; p. 335: 1-11 odd

#83  1/25/05   Day 4;   pp. 335-337: 6, 16, 23

Journal:  Exercise 14 p. 336 (Do on sketchpad, then write up your conclusion and

proof in your journal)

Tangents to a Circle

#84  1/26/05   Day 5;  Read 9.3; pp. 341-343: 2-12 even; 13, 15, 17

Arcs and Central Angles

#85  1/27/05   Day 6;  Read 9.4; pp. 347-348: 1-11 odd; 17, 21

Arcs and Chords

#86  1/28/05  Assembly;  pp. 347-348: 2, 10, 12, 14, 22, 26

#87  1/31/05   Day 7;  p. 349 Self-Test: 1-6; Read 9.4; pp. 354-356: 3-24 multiples of 3

Inscribed Angles

#88  2/1/05  Day 8;  pp. 354-356: 2, 4, 8, 14, 20, 22, 27

#89  2/2/05   Day 1; p. 357: Mixed Review 1-6; Read 9.6;

pp. 359-360: 1-10; 12, 13, 15, 18, 21, 24

Angles in a circle formed by two intersecting chords;

angles outside a circle formed by intersecting secants and tangents

#90 2/3/05  Day 2;  pp. 359-360: 14, 16, 20, 22

#91  2/4/05   Day 3;   Read 9.7; pp. 364-366: 3-24 multiples of 3

Point Power Theorems

#92  2/7//05   Day 4;  pp. 364-366: 2, 4, 8, 14, 20, 22, 28

#93  2/8/05   Day 5; p. 371: 1-18

#94 2/9/05  Assembly – Ash Wednesday;  Review Chapter 9; Test tomorrow, 2/10

#95  2/10/05   Day 6;   Read 10.1; pp. 378-379: 5, 6a, 8, 23

Constructing congruent segments and angles; constructing angle bisector;

Bring compass and straightedge to class every day

#96  2/11/05  Day 7; Read 10.2; pp. 383-384: 1, 2, 3, 4, 17

Constructing:  Perpendicular bisector of a segment; perpendicular to a segment at a point

on the segment; perpendicular to a segment from a point not on the segment; parallel

to a line through a point not on the line

#97  2/14/05   Day 8;  Read 10.3; pp. 388-389: 2-5,  9, 12

Concurrent lines; incenter (where angle bisectors meet); circumcenter (where perpendicular

bisectors meet) , orthocenter (where altitudes meet), centroid  (where medians meet)

#98 2/15/05  Day 1;   p. 391: exercise 2; Do p. 389:  8 on Sketchpad

#99  2/16/05   Day 2; Read 10.4;  p. 395-396: 1, 3, 8, 12, 16

Constructing:  Inscribed circle in a triangle; Circumscribed circle about a triangle;

tangent to a circle from a point; tangent to a circle at a point on the circle.

#100  2/17//05   Day 3;   Read 10.5; p. 399: 2, 6

Dividing a segment into n congruent parts; constructing the geometric mean of two segments

#101  2/22/05   Day 4;  Read 10.6; p. 404: 3-18 multiples of 3

Locus

#102 2/23/05  Day 5;  Read 10.7; pp. 408-409: 5-11 odd, 14, 16, 18, 20

Locus problems

#103  2/24/05   Assembly;   p. 408: 6, 8;Read 10.8;  p. 413: 8, 10, 14

#104  2/25/05  Day 6;  Sketchpad:  Construct 9 point circle (p. 414).  Read Chapter summary pp. 415-416; p. 418: 1-12

#105  2/28/05   Day 7;   Review Ch. 10

#106 3/1/05  Day 8;  Test Chapter 10;  p. 420: 1-9; Read 11.1; pp. 426-427: 20, 22, 26

#107  3/2/05   Day 1;   pp. 426-427: 24, 30, 34, 37

#108  3/3//05   Day 2;   Read 11.2; pp. 431-432: 3-24 multiples of 3

#109  3/4/05   Day 3;    pp. 432-433: 27, 32, 33, 35, 36

#110 3/8/05  Day 4;    Read 11.3; pp. 436-437: 1, 3-24 multiples of 3

#111  3/9/05  Day 5;   p. 437: 30; p. 440 Mixed Review 1-8; Read 11.4; p. 443: 1, 2, 5, 6, 9, 10, 15

Areas of regular polygons

#112  3/10/05  Day 6;   pp. 443-444: 12, 14, 16, 17, 18, 20, 22; Study for 11.1-11.4 quiz

#113  3/11/05   Day 7 End of 3rd Quarter; Quiz 11.1-11.4;  Read 11.5; pp. 448-449: 3-30 multiples of 3, 31

Circumference and area of a circle

#114 3/14/05  Day 8;   pp. 448-450: 10, 14, 20, 22, 32; Read 11.6; pp. 453-453: 3-18 multiples of 3

Arc lengths and areas of sectors

#115  3/15/05   Day 1;  pp. 454-455: 14, 16, 22, 24, 28

#116  3/16//05   Day 2;  p. 455: 29; Read 11.7; pp. 458-460: 3-30 multiples of 3

Ratios of areas of similar figures

#117  3/17/05   Day 3;   p. 460: 22, 26, 28; Read 11.8; pp. 463-464: 3-15 multiples of 3, 16;. P. 465 Self test 2: 1-10

Geometric probability

#118 3/18/05  Assembly;   Read Chapter 11 summary on p. 469;

p. 471: 1-20

Have a nice spring break!  Chapter 11 test is Wed April 6.

#119  4/4/05  Day 4;    Read Chapter 11 summary on p. 469; p. 471: 1-20

#120  4/5/05  Day 5;    Study chapter 11; Journal:  Estimate the area of the Upper Commons in square feet.

 Explain how you got your answer.

#121  4/6/05   Day 6  Chapter 11 test;  Read 12.1; p. 478: 3-24 multiples of 3

#122 4/7/05  Day 7;   pp. 478-480: 4, 8, 14, 20, 22, 26, 28, 37

Howell in Anaheim; class meets

Prisms: altitude, lateral face, lateral edge, right prism, oblique prism lateral area, total area, cube, volume

#123  4/8/05   Day 8;   Read 12.2; pp. 485-486: 3-30 multiples of 3; Challenge p. 487

Howell in Anaheim; class meets

Pyramids:  base, altitude, lateral face, lateral edge, regular pyramid, slant height, lateral area, volume

#124  4/11//05   Day 1;  pp. 485-486: 10, 14, 16, 20, 22

#125  4/12/05   Day 2;   Read 12.3; pp. 492-494: 3-36 multiples of 3;

Cylinders and cones:  lateral area and volume

#126 4/13/05  Day 3; pp. 493-494:  22, 23, 26, 32; Read 12.4; pp. 500-501: 3-27 multiples of 3

Spheres

#127  4/14/05  Day 4;    pp. 500-501:  16, 20, 26; Read 12.5; pp. 511-513: 3-24 multiples of 3

Areas and Volumes of Similar Solids

#128  4/15/05  Day 5;  Read 13.1;

pp. 526-527: 3-24 multiples of 3; 26, 28

The Distance Formula; Cartesian Plane; Equation of a Circle

#129  4/18/05   Day 6 ;  pp. 526-527:  36, 39; Read 13.2;

pp. 532-534: 3-30 multiples of 3

Slope of a Line

#130 4/19/05  Day 7;     p. 527: 40; p.533: 16, 22, 26, 28, 32

#131  4/20/05   Day 8;    p. 519:  1-16 Chapter test;

Journal:  What is the best way for me to study for the Chapter 12 test?

#132  4/21//05   Day 1;  Study Chapter 12; Journal:  What are the platonic solids?

#133  4/22/05   Day 2;   Test Chapter 12;  p. 534 Algebra Review: 1-12, 14, 18, 22; Read 13-3; pp. 537-538: 4, 6, 10, 14

Parallel lines have equal slopes; perpendicular lines have slopes that are negative reciprocals.

#134  4/25/05  Day 3;    pp. 537-538: 11, 12, 16, 18, 20; Study for quiz tomorrow on 13.1-13.3

Journal:  Explain what the graph of an equation is.

#135  4/26/05  Assembly;   Quiz today on 13.1-13.3; Read 13-4; pp. 541-542: 3-30 multiples of 3

Vectors

#136  4/27/05   Day 4 ;   p. 542: 10, 16, 22, 26; p. 543 Mixed Review: 4, 5, 6, 10, 12

#137 4/28/05  Day 5;  Read 13.5; pp. 545-546: 3, 6, 8, 10, 17, 18

Midpoint Formula

#138  4/29/05   Day 6;  p. 546: 20, 24; p. 547 Self  Test:  4, 6, 7, 9, 11, 12a, 13a, 14a, 15

#139  5/2//05   Day 7;   Read 13.6; pp. 550-551: 2, 3, 5, 7, 10, 13, 18, 22, 23

#140  5/3/05   Day 8;    pp. 550-551: 6, 8, 16, 24, 25, 26, 32

#141 5/4/05  Day 1;   p. 552: 37, 38; Read 13-7; p. 555: 3, 6, 9, 10, 11, 12, 15, 17,

18, 21, 23, 24, 27, 30, 33, 36

Point-slope form of the equation of a line:

 (m is slope, is a known point on the line

#142  5/5/05  Assembly schedule;  p. 556: 38; Read 13-8;  pp. 558-559: 1-1;

Organizing Coordinate Proofs pp. 555-556: 2, 8, 14, 20, 26, 34, 36

#143  5/6/05  Day 3; p. 555: 8, 14, 20; Read 13-9; pp. 562-563: 1, 2, 4, 7, 8

#144  5/9/05   Day 4 ;    p. 568: 1-21

#145 5/10/05  Day 5;   Study Chapter 13

#146  5/11/05   Day 6;  Test Ch. 13

#147  5/12/05   Day 7;    Review Chapters 1-4; p. 165: 1-18

#148  5/13/05   Day 8;    Review Chapters 5-7; pp. 261-262: T-F,

Multiple Choice, Always Sometimes-Never:  all questions

#149 5/16/05  Early Dismissal;   p. 283:  Algebra Exercises: 10, 11, 12, 14; Proofs:  4, 6

#150 5/17/05   Early Dismissal ;    Review Chapters 8-10; p. 421: 1-19

#151 5/18/05   Early Dismissal ;    Review Chapters 11-13;  p. 569: 1-17

#152 5/19/05   Early Dismissal ;     Review for exam;

Journal:    What was your favorite topic in Geometry this year?  Why?

#153 5/20/05   Early Dismissal  Reading Day;     Review for exam;

Journal: How is Geometry like summer vacation?