Geometry Grade 8. Quadrilaterals. Collection 1

Embark on an exciting journey through Geometry! Our "Geometry Grade 8. Quadrilaterals. Collection 1" course offers a dynamic learning experience that introduces students to the fundamental properties of quadrilaterals. Through interactive lessons, quizzes, and engaging activities, students will review key concepts from Grade 7 and explore the classification, elements, and properties of various quadrilaterals.

Why choose our course:

• Interactive quizzes and tests: Test your knowledge and reinforce learning with engaging and challenging quizzes.
• Expertly crafted content: Developed by experienced educators to ensure high-quality and effective learning.
• Real-life applications: Learn how geometric principles apply to real-world scenarios and various fields of study.

Course Module

Module 1: Quadrilaterals.

• Introduction
• Dear students!
• Dear teachers!
• Dear parents!
• Section 1. Quadrilaterals
• §1. Quadrilaterals. Their elements. Sum of angles in a quadrilateral
• §1. Quadrilaterals. Their elements. Sum of angles in a quadrilateral (Part 1)
• §1. Quadrilaterals. Their elements. Sum of angles in a quadrilateral (Part 2)
• §2. Parallelogram, its properties and criteria
• §2. Parallelogram, its properties and criteria (Part 1)
• §2. Parallelogram, its properties and criteria (Part 2)
• §3. Rectangle and its properties
• §3. Rectangle and its properties (Part 1)
• §3. Rectangle and its properties (Part 2)
• §4. Rhombus and its properties
• §4. Rhombus and its properties (Part 1)
• §4. Rhombus and its properties (Part 2)
• §5. Square and its properties
• §5. Square and its properties (Part 1)
• §5. Square and its properties (Part 2)
• Homework Assignment №1 (§§ 1-5)
• §6. Trapezoid
• §6. Trapezoid (Part 1)
• §6. Trapezoid (Part 2)
• §6. Trapezoid (Part 3)
• §7. Inscribed and central angles
• §7. Inscribed and central angles (Part 1)
• §7. Inscribed and central angles (Part 2)
• §8. Inscribed and circumscribed quadrilaterals
• §8. Inscribed and circumscribed quadrilaterals (Part 1)
• §9. Thales's theorem
• §9. Thales's theorem (Part 1)
• §10. Midline of a triangle, its properties
• §10. Midline of a triangle, its properties (Part 1)
• §10. Midline of a triangle, its properties (Part 2)
• §11. Midline of a trapezoid, its properties
• §11. Midline of a trapezoid, its properties (Part 1)
• §11. Midline of a trapezoid, its properties (Part 2)
• Homework Assignment №2 (§§ 6-11)
• Knowledge check tasks for §§ 6-11
• Review exercises for Section 1
• To §1
• To §2
• To §3
• To §4
• To §5
• To §6
• To §7
• To §8
• To §9
• To §10
• To §11
• Key takeaways from Section 1

Expected Learning Outcomes

• Provides examples of geometric figures covered in the course.
• Explains what a quadrilateral is, including convex and concave types and their elements.
• Formulates definitions and properties of the studied quadrilaterals, central and inscribed angles, inscribed and circumscribed quadrilaterals, and the midlines of triangles and trapezoids.
• States the criteria for parallelograms and inscribed/circumscribed quadrilaterals.
• States theorems such as the sum of angles in a quadrilateral and Thales's theorem.
• Classifies types of quadrilaterals.
• Identifies and labels different types of quadrilaterals and their elements in diagrams.
• Justifies classification of a quadrilateral based on its properties.
• Proves properties and criteria of parallelograms, as well as properties of rectangles, rhombuses, and squares.
• Applies learned definitions and properties to solve problems, including practical applications.

By the end of this course, students will have a solid understanding of quadrilaterals, their classifications, and their properties, preparing them for more advanced geometric concepts.