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Introduction to Geometry Jefferson City High School nd rd Katte Distler and Lance Johnston (2 Block)/Barbara Toebben (3 Block) - Instructors I. Course Description: Introduction to geometry emphasizes reasoning and logical thinking. This course connects geometry to algebra, data analysis, and trigonometry. Specific topics include transformations, polygons, Cartesian coordinate system, area of plane figures, surface area and volume of solids and a review of Algebra I skills. Learners wishing to continue in their mathematics studies should successfully complete this course with a C- or better. The next course in the mathematics sequence at Jefferson City high school is Geometry. Prerequisite: Successful completion of Algebra IA and IB, Algebra I, or Algebra Topics. II. Course Curricular Objectives: • The learner will review the concepts of solving multi-step equations, place value, graphing linear equations, solving word problems, and finding slope. • The learner will make conclusions based on patterns; apply basic definitions of geometry and formulas to find segment lengths, angle measures, midpoint, perimeters, circumference and areas; and use constructions and the coordinate plane to represent geometric figures. • The learner will write and analyze conditionals, converses, and bi-conditionals and find the measure of angles using the definitions of vertical, adjacent, complementary, and supplementary angles. • The learner will apply properties of parallel and perpendicular lines to write equations of lines and find measures of angles; classify triangles and polygons; and find the measures of their angles. • The learner will determine whether polygons are congruent and apply the definitions of congruence, with an emphasis on triangles and apply properties of isosceles and equilateral triangles. • The learner will use properties of mid-segments, perpendicular bisectors, angle bisectors, medians, and altitudes of triangles; write the negation, inverse, and contrapositive of statements; and use inequalities in triangles. • The learner will define, classify, and use properties of quadrilaterals; and verify properties of figures using coordinate geometry. • The learner will find the area of triangles, quadrilaterals, regular polygons, circles, sectors, and segments of circles; solve missing side(s) using the Pythagorean Theorem and properties of special right triangles; and find the measures of central angles, arcs, and the circumference of circles. • The learner will write ratios and solve proportions; identify properties of similar polygons; use the similarity postulate and theorems to draw conclusions about triangles; use proportions in triangle theorems and corollaries to draw conclusions about triangles; and use similarity ratios, perimeter ratios, and area ratios to draw conclusions about similar polygons. • The student will apply trigonometric ratios of sine, cosine, and tangent to solve for missing sides, angles, finding areas of polygons, and constructing and measuring vectors; and solve real-world problems involving angles of elevation and depression. • The student will recognize the net and cross sections of three-dimensional figures; derive and use formulas to find the volume and surface area of prisms, cylinders, pyramids, cones, and spheres; and use the concept of similarity to determine surface areas and volumes of similar solids. • The student will illustrate reflections, translations, rotations, and dilations of shapes; identify the type of symmetry in a figure; and tessellate. III. Course Materials: Textbook: Bass, Laurie E., Randall I. Charles, Art Johnson, and Dan Kennedy. Geometry. Needham, Massachusetts: Pearson Prentice Hall Learners should provide and bring with them daily: • School Planner • School ID worn around the neck • Binder to organize class notes • Textbook • Paper • Pencil with eraser • Red pen for grading • Scientific calculator IV. Course Policies: • All district and/or school policies are enforced (tardies/absences/behavior…). • Absences: Daily attendance is highly recommended. If you have an excused absence, you are expected to get all materials, notes, and assignments you may have missed. You will have one day for every day of your excused absence to submit the make-up assignments. Tests should be made up at the next Tuesday or Thursday academic lab after the absence. It is the learner’s responsibility to arrive at the academic lab at 7:30am and remain for the duration of the lab or until the test is complete. • Homework: Homework completion is essential to success in Introduction to Geometry. Almost all homework assignments will be recorded based on a 100-point scale. One late paper per 9-weeks is allowed for half credit. If you have an extenuating circumstance that prevents you from completing your assignments, please visit with one of the teachers personally before or after school. NO papers will be accepted after the test on the material addressed in the homework has been taken. • Classroom Passes: Each student will be allowed two (2) hallway passes per nine-week term. It is vital to success in Introduction to Geometry that each student remains in the classroom to obtain all instruction and guided practice time. Students must have their student planner in order to receive a pass to leave the classroom. • Tests/Quizzes: Tests will be given in class and students will be allowed the entire class period to complete the exams. When graded tests are returned to students, they will then review their exams and a class review will take place. One of the teachers will discuss test errors with all learners. A few days after the original test, students will retake another version of the exam as outlined below. Quizzes will be administered on a weekly basis to assess learners’ understanding of the unit material. • Test Retake Policy: • Students earning an 80% or higher on the test have reached the “mastery level” and will not retake the test. • Students earning below an 80% on the test will complete the retake as outlined in the following bullets: * will retake a test of equivalent length and difficulty as the original test * will retake the entire test * will earn the higher score of the two tests, up to an 80% V. Grading Policy for Introduction to Geometry: 18-week Grade: Scale: 93-100 A 80-82 B- 67-69 D+ • 10% Assignments 90-92 A- 77-79 C+ 63-66 D • 10% Quizzes 87-89 B+ 73-76 C 60-62 D- • 70% Tests 83-86 B 70-72 C- 0-59 F • 10% Term Exam VI. Grading Policy for Intro to Geometry Lab: Introduction to Geometry Lab is a separate class from Introduction to Geometry. It is graded on the Satisfactory (S) and Unsatisfactory (U) scale. A student is able to earn 10 points each day as outlined below: Attendance 4 2 0 Arrives to class tardy to class absent on time or absent or partially because of school absent activity Notes 2 1 0 Notes complete 99%-50% of Less than half of notes compete notes complete Work/ 4 2 0 Effort Student is on task Student needs a referral to office, for entire class few reminders removal from period during class to class (hallway), remain on task numerous reminders to remain on task VII. Classroom Expectations: • Be seated in your assigned seat before the bell rings. • Show respect at all times to our classmates and to teacher(s). • Be responsible for your learning by paying attention, taking notes and by asking questions. • Come to class prepared, every day. Bring your assignments, text book, binder, calculator and a pencil. • No electronics in class! • You must have your planner in class every day. • Please remain in your assigned seat until I dismiss the class a the end of the block. VIII. Personal Statement: This is my first year teaching at Jefferson City High School. Mathematics education is not a spectator sport. Students must accept an active roll to be successful. I have high expectations for all of my students. Homework is required and may be challenging. I will be available for help both before and after school in room 154. Tutoring will be available during academic lab times, and students are encouraged to take advantage of these tutoring times. It is important to stay caught up on all math assignments as math builds on itself. If you feel you are falling behind, you should get help soon. I will work with you to help you succeed in Introduction to Geometry. IX. Additional Information: E-mail: katherine.distler@jcschools.us Webpage: www.jcschools.us/kdistler Math Office: 659-3089 TIME SCHEDULE 7:30 – Beginning Before School Help (M/W/F – Rm 154) st of 1 block Academic Labs (T/Th) st 1 Block Conference 2nd Block Into to Geometry (Rm 154) 3rd Block Into to Geometry (Rm 154) Advisory (T/Th) Advisory (Rm 154) th 4 Block Algebra Topics (Rm 163) 3:00 – 3:45 pm After School Help (Check for Scheduling I have read the above syllabus for my student’s Introduction to Geometry class. I understand that Mrs. Tabb’s and Mr. Johnston’s expectations are high and they will work hard to ensure that my child has every opportunity to be successful through appropriate lesson structure, activities, homework practice, etc. I understand that my son/daughter must play an active role in his/her education as well, and will be expected to… 1. bring the course materials (book, paper, pencil, pen, calculator*) to class every day, 2. use class-time appropriately (take notes, participate in activities, work on homework, etc.), 3. ask questions and/or come in for extra help, 4. respect the other students and their learning opportunities in the classroom. My student:__________________________________________________________________________ Parent/Guardian Signature:_____________________________________________________________ Parent/Guardian contact information: Phone number (indicate home/cell/work): Parent/guardian email address:
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