SYLLABUS/ CLASS CONTRACT
Class Code: MGS22 Subject: Geometry Common Core Term: Fall 2017 Teacher: Mrs. Montoya
Email: Phone (718) 937-6005 Ext 315
Website: Office: 315
- Course goals & objectives
Geometry is intended to be the second course in mathematics for high school students and it is given in two semesters. The primary goal of this course is to understand geometry from different viewpoints, both classical and modern; as well as to provide the student with the requisite foundation for the study of advanced algebra and trigonometry. Another goal of this course is to help the student becomes adept at mathematical communication. Opportunities to improve their communication skills on several levels will arise throughout the course: speaking precisely about mathematical ideas in class; writing formally and informally about mathematical ideas and learning how to write concise but complete arguments.
2. Suggested Materials
- Notebook or Binder with Notebook Paper (College Ruled) and graph paper preferably.
- Pencil/Pens (black or blue ink only), eraser, sharpener.
- Set of Rulers and compass
- Calculator (Preferably scientific, but does not need to be a graphing calculator)
3.Course Requirements & Expectations
·Lateness & Absences
All students are expected to arrive in class before the bell rings, however if a student is late to class he or she must bring a pass from a teacher or school official, and must sign the lateness log. Excessive lateness or cutting will result inparent contact as per the school’s discipline policy.
Bring an absence note when you return to school. Any student who is absent is responsible for obtaining the class notes, making up assignments, quizzes, or tests, and learning the material that was missed.
·Binder’s sections:
1-Notes with hand outs (Aim #, Do Now, Examples, and Practice);
2-Homework,
3. Quizzes, Exams, and extra credit;
Your Binder will be checked each marking period.
·Behavior
Students are expected to behave appropriately during class. Talking, calling out, use of cell phones, and other inappropriate behavior or disruptions will not be tolerated. Any behavioral infractions will be addressed as per the school’s discipline policy.
·Homework:
Homework will be given, revised and evaluated on weekly basis . Make sure you write your name, date and show all your work, not only final answers. Assignments will be graded for effort. Work needs to be shown for each problem to receive credit. Some HW assignments will require the use of the school’s website below. The school provides access to the internet at the library.
·Exams and Quizzes
You will have an exam every two weeks during the semester. There will be no make-up exams unless you bring a formal excuse. If you are absent and do not bring a written excuse, you will receive a grade of zero which can have a great impact on your final grade. Cheating will not be tolerated. Cheating will result in a zero grade.
·Class participation
Students will receive extra credit for full participation if they are on time, have all their supplies for class, and demonstrate on-task behavior. Students who attend the geometry after school and peer tutoring will receive extra credits.
·Bathroom/Hallway Pass
The pass will never be given out the first and last 10 minutes of the period and use the bathroom log to record the time you are out. Also, it is extremely important to be in class paying attention while I introduce the topic. I strongly recommend limiting the use of the pass in case of emergency only.
4. Themes & Topics
. The study of Geometry includes math vocabulary, organization of proofs, points, lines, planes and angles, parallel lines and planes, transformations and congruence, congruent triangles, similar polygons, right triangles, circles, areas of plane and solid figures, volumes and surface areas of solids, using formulas in solving problems, visualizing geometric situations, and using geometric ideas in real situations.
5.Assessment Policy for each marking period
- Homework (20%)
- Exams/Quizzes (50%)
- Notebooks/Class Participation (20%)
- Projects (10%)
The final grade for this class is an average of first, second and third marking period grades.
The passing of the Regents Exam could affect your final grade to a maximum of 33%).
( Only classes ending with a Regents).
6.Contact Information
- Parent-Teacher Conferences: For the Fall2017 semester: Thursday, November 9, 2017 (6:00-8:30 PM); and Friday, November 10, 2017 (1:00-3:10 PM).
- Phone number and e-mail address : Parents and students may contact me at 718-937-6005, extension 315 or you may email me to
- Webpage address: Parents and students can get to my webpage by going to the school’s website and by following the link Teachers, then Montoya, and then MGS22
Please sign the syllabus and keep it in student’s binder for further reference.
Student’s Signature:______Student’s Cell phone number______
Parent’s Signature:______Parent’s Cell phone number:______
MATHEMATICS PACING CALENDAR– TWO SEMESTER PLANNING Mr Bello
NEW YORK STATE COMMON CORE GEOMETRY MODULE 2
Semester 2-2Spring 2016
Topic A: Scale Drawings (G-SRT.A.1, G-SRT.B.4, G-MG.A.3) ...... 9
Lesson 1: Scale Drawings ...... 11
Lesson 2: Making Scale Drawings Using the Ratio Method ...... 27
Lesson 3: Making Scale Drawings Using the Parallel Method ...... 44
Lesson 4: Comparing the Ratio Method with the Parallel Method ...... 59
Lesson 5: Scale Factors ...... 72
Topic B: Dilations (G-SRT.A.1, G-SRT.B.4) ...... 88
Lesson 6: Dilations as Transformations of the Plane ...... 90
Lesson 7: How Do Dilations Map Segments? ...... 104
Lesson 8: How Do Dilations Map Lines, Rays, and Circles? ...... 120
Lesson 9: How Do Dilations Map Angles? ...... 135
Lesson 10: Dividing the King’s Foot into 12 Equal Pieces ...... 148
Lesson 11: Dilations from Different Centers ...... 162
Topic C: Similarity and Dilations (G-SRT.A.2, G-SRT.A.3, G-SRT.B.5, G-MG.A.1) ...... 179
Lesson 12: What Are Similarity Transformations, and Why Do We Need Them? ...... 181
Lesson 13: Properties of Similarity Transformations ...... 195
Lesson 14: Similarity ...... 217
Lesson 15: The Angle-Angle (AA) Criterion for Two Triangles to be Similar ...... 229
Lesson 16: Between-Figure and Within-Figure Ratios...... 242
Lesson 17: The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to be Similar ...... 255
Lesson 18: Similarity and the Angle Bisector Theorem ...... 271
Lesson 19: Families of Parallel Lines and the Circumference of the Earth ...... 283
Lesson 20: How Far Away Is the Moon? ...... 297
Mid-Module Assessment and Rubric ......
306 Topics A through C (assessment 1 day, return 1 day, remediation or further applications 4 days)
Topic D: Applying Similarity to Right Triangles (G-SRT.B.4) ...... 333
Lesson 21: Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles ...... 334
Lesson 22: Multiplying and Dividing Expressions with Radicals ...... 348
Lesson 23: Adding and Subtracting Expressions with Radicals ...... 363
Lesson 24: Prove the Pythagorean Theorem Using Similarity ...... 373
Topic E: Trigonometry (G-SRT.C.6, G-SRT.C.7, G-SRT.C.8) ...... 385
Lesson 25: Incredibly Useful Ratios ...... 387
Lesson 26: The Definition of Sine, Cosine, and Tangent...... 401
Lesson 27: Sine and Cosine of Complementary Angles and Special Angles ...... 414
Lesson 28: Solving Problems Using Sine and Cosine ...... 424
Lesson 29: Applying Tangents ...... 437
Lesson 30: Trigonometry and the Pythagorean Theorem ...... 450
Lesson 31: Using Trigonometry to Determine Area ...... 462
Lesson 32: Using Trigonometry to Find Side Lengths of an Acute Triangle ...... 473
Lesson 33: Applying the Laws of Sines and Cosines ...... 485
Lesson 34: Unknown Angles ...... 498