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Geometry

Course Description

This course focuses on Euclidean geometry, studied both with and without coordinates. The course involves working with congruence, similarity, right triangle trigonometry, geometry of circles, analytic geometry in the coordinate plane, and geometric measurement and modeling. The Standards for Mathematical Practice apply throughout the Geometry course and, when connected meaningfully with the content standards, allow for students to experience mathematics as a coherent, useful and logical subject.

Concepts Explored

Unit 1: Geometry Basics

Basic vocabulary (point, line, segment, angle, parallel and perpendicular lines, circle)

Unit 2: Transformations in the coordinate plane

translations, reflections, rotations

Unit 3: Congruence

Congruent triangles SSS, SAS, ASA, AAS

Unit 4: Similarity

Similarity transformations – dilations (center and scale factor), Similar polygons, Proving triangles similar –

Unit 5: Trigonometry

Pythagorean theorem & converse, sine, cosine, tangent, solving right triangles

Unit 6: Area & Volume

Perimeter & area in coordinate plane (using distance formula), Areas, surface area, & volume

Unit 7: Circles

Chords and Arcs, Inscribed Angles, Arc Length, Area of Sectors and Segments

Unit 8: Inductive Reasoning

Probability Rules

Resources

Several textbooks, workbooks, websites, and other resources will be utilized to facilitate learning: Holt Mathematics, Big Ideas Math.com, Prentice Hall Geometry, Geometer’s Sketchpad Software, Exam View Test Generator, and IXL.com. In addition, a variety of other supplemental videos, interactive games and teacher-made materials will enable students to access the curriculum.

Supplies

Students are required to possess a one-inch binder, pencils, pens, a scientific calculator (with functions illustrated below), headphones, and their laptop. A homework folder and an assignment book is also required to keep track of homework and quizzes

Class Routine

Students enter the classroom with a warm up activity waiting for them. Volunteers are requested to share their responses with the class. Homework is then checked individually, and each student is given a sticker to show appropriate completion. We review the homework together as a class and each student is required to participate.  The teaching assistant and I circulate during this process to ensure all students are focused and are correcting their work. After the homework review, we begin our lesson. Students discuss, take notes and are provided guided practice. Afterward, students work independently or collaboratively to complete classwork. Assignments are reviewed together. Homework is assigned after each class.  Assessments are usually given bimonthly.

Class Rules

1. Be on time.
2. Be prepared.
4. Sign out when leaving class room.
5. Participate during class.
7. Show respect for others.

In addition, I expect all students to listen attentively, complete all assignments to the best of their ability, seek help when needed and demonstrate an eagerness to learn.

Students will be graded based on class work, homework, quizzes, and projects. Points will be given in the following categories:

Class work:                       10

Quizzes:                             20

Homework:                     10

Projects:                           50

Partial credit will be given for incomplete or late work. Students are welcome to retake any quiz and encouraged to come for extra help at lunch or after school in room 600. Students can complete assessments more than once, as needed.

Communication