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 IBasic geometric concepts. Planimetry

Chapter IIAngles

Chapter IIIPolygons and triangles

Chapter IVParallel lines

Chapter VRelations between the sides and angles of a triangle

Chapter VIConstruction problems

Chapter VIIReview

Geometry · Grade 7

Chapter IBasic geometric concepts. Planimetry

What is geometry? Point and line

Segment, ray and comparing segments

Length of a segment and measuring

Circle and disc. Practical measuring

Chapter I review

Chapter IIAngles

Angles and measuring them

Angle types. Adjacent and vertical angles

Proof and perpendicular lines

Proof by contradiction. Practice

Chapter II review

Chapter IIIPolygons and triangles

Broken line, polygon and triangle

Median, altitude, bisector. SAS criterion

Isosceles triangle and the ASA criterion

SSS criterion. Perpendicular bisector

Practical lesson and Chapter III review

Chapter IVParallel lines

Parallel lines and a transversal

Tests for parallel lines

Converse theorem. Parallel lines and angles

Problem solving and Chapter IV review

Chapter VRelations between the sides and angles of a triangle

Angle sum and exterior angle of a triangle

Problems. The right triangle

Congruence of right triangles. Problems

Bisector property. Sides and angles

Triangle inequality and Chapter V review

Chapter VIConstruction problems

Construction rules and puzzles

Copying an angle and constructing a bisector

Constructing perpendiculars and triangles

Construction problems and Chapter VI review

Chapter VIIReview

Stages of solving problems and calculation problems

Proof problems

Review: main theorems and problems

Final test and working on mistakes