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Grade 7
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Geometry
Geometry · Grade 7
32/32 weeks ready · Geometry Grade 7, corrected and expanded 3rd edition. Yangiyo‘l Poligraf Servis, Tashkent, 2017 (approved by the Ministry of Public Education)
Chapter I
Basic geometric concepts. Planimetry
1
What is geometry? Point and line
1. Geometry as a science: its subject and tasks
2. The simplest figures: point, line and plane
Quiz (8)
Homework
2
Segment, ray and comparing segments
3. Segment and ray
4. Comparing segments
Quiz (8)
Homework
3
Length of a segment and measuring
5. Length of a segment and its properties
6. Measuring segments
Quiz (8)
Homework
4
Circle and disc. Practical measuring
7. Circle and disc
8. Practical lesson
Quiz (8)
Homework
5
Chapter I review
9. Chapter I review
Quiz (8)
Homework
Chapter II
Angles
6
Angles and measuring them
10. Angle. Comparing angles
11. Measuring angles. The protractor
Quiz (8)
Homework
7
Angle types. Adjacent and vertical angles
12. Types of angles: right, acute, obtuse. The bisector
13. Adjacent and vertical angles and their properties
Quiz (8)
Homework
8
Proof and perpendicular lines
14. Logical order in geometry: proofs, theorems, axioms
15. Perpendicular lines
Quiz (8)
Homework
9
Proof by contradiction. Practice
16. Proof by contradiction
17. Practical lesson
Quiz (8)
Homework
10
Chapter II review
18. Chapter II review
Quiz (8)
Homework
Chapter III
Polygons and triangles
11
Broken line, polygon and triangle
19. Broken line. Polygon
20. The triangle and its types
Quiz (8)
Homework
12
Median, altitude, bisector. SAS criterion
21. Key elements of a triangle: median, altitude and bisector
22. First criterion of congruence (SAS)
Quiz (8)
Homework
13
Isosceles triangle and the ASA criterion
23. Properties of an isosceles triangle
24. Second criterion of congruence (ASA)
Quiz (8)
Homework
14
SSS criterion. Perpendicular bisector
25. Third criterion of congruence (SSS)
26. Property of the perpendicular bisector of a segment
Quiz (8)
Homework
15
Practical lesson and Chapter III review
27. Practical lesson
28. Chapter III review
Quiz (8)
Homework
Chapter IV
Parallel lines
16
Parallel lines and a transversal
29. Parallel lines
30. Angles formed by two lines and a transversal
Quiz (8)
Homework
17
Tests for parallel lines
31. Tests for parallel lines
32. Tests for parallel lines (continued)
Quiz (8)
Homework
18
Converse theorem. Parallel lines and angles
33. The converse theorem
34. Angles formed by two parallel lines and a transversal
Quiz (8)
Homework
19
Problem solving and Chapter IV review
35. Problem solving
36. Chapter IV review
Quiz (8)
Homework
Chapter V
Relations between the sides and angles of a triangle
20
Angle sum and exterior angle of a triangle
37. Theorem on the sum of the interior angles of a triangle
38. Property of an exterior angle of a triangle
Quiz (8)
Homework
21
Problems. The right triangle
39. Problem solving
40. Properties of a right triangle
Quiz (8)
Homework
22
Congruence of right triangles. Problems
41. Congruence criteria for right triangles
42. Problem solving
Quiz (8)
Homework
23
Bisector property. Sides and angles
43. Property of an angle bisector
44. Relations between the sides and angles of a triangle
Quiz (8)
Homework
24
Triangle inequality and Chapter V review
45. The triangle inequality
46. Chapter V review
Quiz (8)
Homework
Chapter VI
Construction problems
25
Construction rules and puzzles
47. Construction problems with compass and straightedge
48. Fun problems and puzzles
Quiz (8)
Homework
26
Copying an angle and constructing a bisector
49. Constructing an angle equal to a given angle
50. Constructing an angle bisector
Quiz (8)
Homework
27
Constructing perpendiculars and triangles
51. Constructing a perpendicular to a line. Bisecting a segment
52. Constructing a triangle from its three sides
Quiz (8)
Homework
28
Construction problems and Chapter VI review
53. Problem solving
54. Chapter VI review
Quiz (8)
Homework
Chapter VII
Review
29
Stages of solving problems and calculation problems
55. Stages of solving geometry problems
56. Calculation problems
Quiz (8)
Homework
30
Proof problems
57. Proof problems
Quiz (8)
Homework
31
Review: main theorems and problems
58. Review tasks and problems
Quiz (8)
Homework
32
Final test and working on mistakes
59. Final test and working on mistakes
Quiz (8)
Homework
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