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Geometry ← Back to All Pages

Ese Ekwejunor-Etchie

Geometry Syllabus

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Geometry

Mrs. Ese Ekwejunor-Etchie

 

Textbook:

Glencoe: Geometry – Integrated, Applications, and Connections

General Description:

                Geometry is a representation of the world around us. The study of geometry encompasses its close relationship with algebra by using coordinate and algebraic means to verity the synthetic representations. In each chapter, students use algebraic means to verify properties of figures presented on a coordinate plane. Each lesson opener will motivate students to master the content they need to solve application, connection, or integration problems presented in the lesion. Additional applications, connections and integration in the exercises enable students to apply what they have learned.

Objectives:

  1. Student will be able to solve problems involving angle measurement in polygons and circles. (7C2)
  2. Students will be able to determine derived measurements. (7C5)
  3. Student will be able to solve problems using indirect measurement by choosing appropriate technology, instruments and formulas. (7C9)
  4. Student will be able to describe the general trends on how to change one measure affects other measures in the same figure. (7C11)
  5. Student will be able to determine the ratio of similar figure perimeters, and area using ratio of similitude. (7C13)
  6. Student will be able to represent and analyze the properties of geometric shapes using coordinate geometry. (9A1)
  7.  Student will be able to determine if a triangle is possible using side lengths and triangle inequality. (9A3)
  8. Student will be able to solve pictorial or word problems that involve geometric relationships with in a single geometric shape or figure, including the Pythagorean Theorem. (9A5)
  9. Student will be able to analyze the results of a combination or reflections, and translations of a figure, and determine alternate motions that could produce the results. (9A6)
  10. Student will be able to combine simple construction techniques to construct squares, equilateral triangles or other simple combinations of equal sequent, angles, etc. (9A9)
  11. Student will be able to describe and apply properties of a polygon in a problem solving situation. (9A9)
  12. Student will be able to classify angle relationships for two or more lines crossed by a transversal. (9A10)
  13. Student will be able to analyze geometric situations using Cartesian coordinates. (9A11)
  14. Student will be able to represent transformations of an object in the plane using sketches, coordinates and vectors. (9A12)
  15. Student will be able to gain insights into the answer questions in another area of mathematics using geometric models. (9A18)
  16. Student will be able to calculate distance, midpoint coordinates, and slope using coordinate geometry. (9A16)
  17. Student will be able to identify and apply properties of medians, altitudes, and angle bisector, perpendicular bisector, and midline of a triangle. (9A18)
  18. Student will be able to analyze geometric situations using Cartesian coordinates and other coordinate systems such as navigation, polar and spherical systems. (9A19)
  19. Student will be able to represent and describe with the language of geometry real life objects, paths and regions in space. (9A21)
  20. Student will be able to examine the congruence of similarity of objects using transformations. (9B3)
  21. Student will be able to solve problems using triangle congruence and similarity figures. (9B5)
  22. Provide example and counter examples to either illustrate or disprove conjectured about geometric characteristics. (9C4)
  23. Represent, solve, and explain numerical and algebraic relationships using geometric concepts. (9C3
  24. Develop a formal proof for a given geometric situation. (9C8)
  25. Develop conjectures about geometric situations with and without technology. (9C8)
  26. Describe the difference between inductive argument and deductive argument. (9C10)
  27. Prove conjectures about geometric figures on the plane and in space. (9C11)
  28. Explain the ideal of formal and informal proof to non-geometric situations. (9C12)
  29. Recognize Pythagorean Triples. (3D1)
  30. Determine distance and angle measures using indirect measurement and properties of right triangle. (9D6)
  31. Develop and describe surface area and volume formulas for cones and cylinders by relating pyramids to cones and prisms to cylinders. (7C3)
  32. Determine linear measures, perimeters, areas, surface areas and volumes, of similar figures using the ratio of similitude.
  33. Identify relationships among circles, arcs, cords, Tangents and scants. (9B7)
  34. Solve problems in and gain insight into other disciplines and other areas of interest such as art and architecture using geometric ideas. (9B8)
  35. Analyze and describe the transformations that lead to successful tessellations of one of more figures. (9B9)
  36. Create and arguments concerning geometric ideas and relationships such as congruence similarity, Pythagorean relationships for areas and volume. (9C1)
  37. Identify the basic trigonometric ratios in terms of length of the sides of a right triangle and an acute angle. (9D2)
  38. Solve for missing aides length using the trigonometric ratios in the right triangles. (9D3)
  39. Determine and justify the side length relationship present in the 45-45 90 triangle and 30-60-90 triangles. (9D4)
  40. Determine the ratio of the length of sides of a right triangle with given measurements for its acute angles. (9D5)
  41. Solving problems using 45-45-90 triangles. (9D7)
  42. Solving problems using the Law of Sine and The Law of Cosine. (9D8)

Geometry Text Contents:

  1. Discovering points, Lines, and Angles.
  2. Connecting Reasoning and proof
  3. Using perpendicular and parallel Lines
  4. Identifying Congruent Triangles
  5. Applying Congruent Triangles
  6. Exploring Quadrilaterals
  7. Connecting Proportions and Similarity
  8. Applying Right Triangles and Trigonometry
  9. Analyzing Circles
  10. Exploring Polygons and Area
  11. Investigating Surface Area And Volume
  12. Continuing Coordinate Geometry
  13. Investigating Loci and Coordinate Transformations

Homework:

                Overnight assignments are due at the beginning of the next day class period. Absent students will turn in work the day after their return. Each day’s assignments will post on the board in class.

Materials:

                Textbook

                Binder

                Pencil

                Calculator

                Loose leaf paper

 

 

 

 

 

 

Grading Policy:

                The district grading scale will be used in this class. A quarter exam based on the Illinois State Standards and built on the STI Assessment system will be given at the end of each quarter. This exam will be worth one seventh of the student’s semester grade. The quarter grade will be determined in the following manner:

 

                                Homework:                                        10%

                                Classwork:                                          10%

                                Bellwork:                                             5%

                                Participation:                                     5%

                                Test:                                                      40%

                                Quizzes:                                               10%

                                Projects:                                              20%

 

Follow up Courses:                         Algebra 2, Trigonometry, Pre-calculus, and Calculus