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Review (Grades 5–8)
1
Review of Grades 5–8: triangles and quadrilaterals
Lessons 1
2
The Pythagorean theorem and its applications
Lessons 2
3
Calculating perimeter and area
Lessons 3
4
Plane geometry in solids; project work
Lessons 4–5
Chapter I
Geometric transformations and similarity
5
Similarity of polygons and triangles
Lessons 6–7
6
The AA and SAS similarity tests
Lessons 8–9
7
The SSS test and right triangles
Lessons 10–11
8
Applications of similarity and review
Lessons 12–14
9
Motion, translation and symmetry about a line
Lessons 15–16
10
Central symmetry and rotation
Lessons 17
11
Similarity of figures; properties of similar polygons
Lessons 18–19
12
Homothety and constructing similar polygons
Lessons 20–21
13
Practical applications of similarity
Lessons 22
14
Mixed problems and Chapter I review
Lessons 23–24
Chapter II
Relations between the sides and angles of a triangle
15
Sine, cosine, tangent and cotangent of an angle
Lessons 25
16
Problems with trigonometry and the area of a triangle
Lessons 26–27
17
The law of sines
Lessons 28
18
The law of cosines
Lessons 29
19
Applications of the theorems; dot product
Lessons 30–31
20
Solving triangles; mixed problems
Lessons 32–33
21
Practical applications and Chapter II review
Lessons 34–35
Chapter III
Circumference and area of a circle
22
Inscribed and circumscribed polygons
Lessons 36–37
23
Regular polygons
Lessons 38
24
Circles inscribed in and circumscribed about regular polygons
Lessons 39–40
25
Review and the circumference of a circle
Lessons 41–42
26
Arc length and radian measure
Lessons 43
27
Area of a disc and its parts
Lessons 44–45
28
Practice and the Chapter III test
Lessons 46–47
Chapter IV
Metric relations in a triangle and a circle
29
Projections of segments
Lessons 48
30
Properties of proportional segments
Lessons 49
31
Proportional segments in a right triangle
Lessons 50–51
32
Proportional segments in a circle
Lessons 52
33
Practice and the Chapter IV test
Lessons 53–54
34
Final review
Lessons 55
☰ Contents · Geometry
Grade 9
›
Geometry
›
Week 19
Applications of the theorems; dot product
Lessons 30–31 · 2 lessons · B. Xaydarov, E. Sariqov, A. Qo‘chqorov. Geometry, Grade 9 (textbook for general secondary schools), revised 4th edition. Huquq va Jamiyat Publishing, Tashkent, 2019
Lesson 30
Lesson 31
Quiz
8
Homework
5
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