Credit Recovery - Geometry B

COURSE DESCRIPTION: This course is the second half of a high school Geometry course. Students will start the semester by learning about quadrilaterals and polygons, including their properties. Students will learn how to show two figures are similar and learn about the properties and theorems associated with similar figures. Students will continue their exploration of Geometry by discussing circles, their properties, their angles, and how to find circumference and area. Students will learn how to find area and perimeter of polygons and surface area and volume of three dimensional shapes. Students will end the course by discussing transformations.

COURSE OBJECTIVES: After completing this course, students will be able to:

1. Apply the theorems associated with quadrilaterals.

2. Identify the properties of squares.

3. Identify the properties of rectangles.

4. Identify the properties of parallelograms.

5. Identify quadrilaterals as parallelograms.

6. Identify the properties of rhombi.

7. Identify the properties of trapezoids.

8. Identify the properties of polygons

9. Calculate the angle measures of polygons.

10. Form ratios in simplest form.

11. Apply proportions to solve problems.

12. Identify similar figures.

13. Apply the Similarity Postulates to show two triangles are similar.

14. Identify similar quadrilaterals.

15. Identify similar polygons.

16. Identify parts of a circle.

17. Apply the theorems related to arcs, chords, diameters, and tangents.

18. Identify and apply the properties of central angles.

19. Identify and apply the properties of inscribed angles.

20. Identify and apply the properties of tangent-chord angles.

21. Write equations of circles with center at the origin and a radius r.

22. Write equations of circles with a center at (a, b) and a radius r.

23. Calculate sine, cosine, tangent, and cotagent ratios.

24. Identify and apply trigonometric ratios.

25. Find the angles and sides of right triangles.

26. Apply the Law of Sines.

27. Apply the Law of Cosines.

28. Calculate the area of a triangle.

29. Calculate the perimeter of a triangle.

30. Calculate the area of a polygon.

31. Calculate the perimeter of a polygon.

32. Calculate the area and perimeter of a square.

33. Calculate the area and perimeter of a rectangle.

34. Calculate the area and perimeter of a parallelogram.

35. Calculate the area and perimeter of a rhombus.

36. Calculate the area and perimeter of a trapezoid.

37. Calculate the circumference of a circle.

38. Calculate the area of a circle.

39. Calculate the surface area of a prism.

40. Calculate the surface area of a cylinder.

41. Calculate the surface area of a pyramid.

42. Calculate the surface area of a cone.

43. Calculate the surface area of a sphere.

44. Calculate the volume of a prism.

45. Calculate the volume of a cylinder.

46. Calculate the volume of a pyramid.

47. Calculate the volume of a cone.

48. Calculate the volume of a sphere

49. Apply translations.

50. Apply reflections.

51. Apply rotations.

PREREQUISITES: Geometry A

COURSE LENGTH: Half Credit

REQUIRED TEXT: None

COURSE OUTLINE:

I. Quadrilaterals and Polynomials

· Squares and Rectangles

· Parallelograms

· The Rhombus and Trapezoids

· Polygons

· Unit Exam

II. Similarity

· Ratios and Proportions

· Similar Figures

· Similar Quadrilaterals and Polygons

· Unit Exam

III. Circles

· Arcs and Special Segments

· Special Angles in Circles

· Equations of Circles

· Unit Exam

IV. Right Triangles and Trigonometry

· Special Ratios in Right Triangles

· Law of Sines and Cosines

· Unit Exam

V. Perimeter and Area

· Perimeter and Area of Triangles and Polygons

· Perimeter and Area of Quadrilaterals

· Circumference and Area of a Circle

· Surface Area

· Volume

· Transformations

· Unit Exam