United University

Geometry Grade 8. Polygons. Areas of polygons. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 16 hours

Embark on an exciting journey through Geometry! Our "Geometry Grade 8. Polygons. Areas of Polygons. Collection 1" course offers a dynamic learning experience that explores the world of polygons and their properties. Students will dive into essential topics such as the sum of angles in convex polygons, inscribed and circumscribed polygons, and formulas for calculating the areas of rectangles, parallelograms, triangles, and trapezoids through interactive lessons and engaging activities.

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Embark on an exciting journey through Geometry! Our "Geometry Grade 8. Polygons. Areas of Polygons. Collection 1" course offers a dynamic learning experience that explores the world of polygons and their properties. Students will dive into essential topics such as the sum of angles in convex polygons, inscribed and circumscribed polygons, and formulas for calculating the areas of rectangles, parallelograms, triangles, and trapezoids through interactive lessons and engaging activities.

Why choose our course:

  • Interactive quizzes and tests: Reinforce knowledge with fun and challenging exercises.
  • Expertly crafted content: Developed by experienced educators for effective and clear learning.
  • Real-life applications: Discover how area formulas are used in everyday life and practical problem-solving.

Course Module

Module 1: Section 4. Polygons. Areas of Polygons

  • §22. Polygon and its elements. Sum of angles of a convex polygon. Inscribed and circumscribed polygons
  • §22. Polygon and its elements... (Part 1)
  • §22. Polygon and its elements... (Part 2)
  • §23. Concept of polygon area. Area of a rectangle
  • §23. Concept of polygon area. Area of a rectangle (Part 1)
  • §23. Concept of polygon area. Area of a rectangle (Part 2)
  • §24. Area of a parallelogram
  • §24. Area of a parallelogram (Part 1)
  • §24. Area of a parallelogram (Part 2)
  • §25. Area of a triangle
  • §25. Area of a triangle (Part 1)
  • §25. Area of a triangle (Part 2)
  • §26. Area of a trapezoid
  • §26. Area of a trapezoid (Part 1)
  • §26. Area of a trapezoid (Part 2)
  • Independent Homework №5 (§§22–26)
  • Review Exercises for Section 4
  • To §22
  • To §23
  • To §24
  • To §25
  • To §26
  • Key Points of Section 4
  • Knowledge Check Tasks for Grade 8 Geometry Course
  • Additional Information and Tasks
  • Advanced Problems (Part 1)
  • Advanced Problems (Part 2)
  • European Girls’ Mathematical Olympiad in Kyiv
  • Appendix 1
  • Appendix 2
  • Review from Grade 7 Geometry Course
  • Exercises for Reviewing Grade 7 Geometry

Expected Learning Outcomes

  • Provides examples of polygons and related figures from the course.
  • Explains what a polygon, its elements, area, inscribed polygon, and circumscribed polygon are.
  • Formulates definitions and theorems about polygon properties and area formulas for rectangles, parallelograms, triangles, and trapezoids.
  • Records and explains formulas for calculating areas of studied figures.
  • Identifies polygons and their elements, as well as inscribed and circumscribed polygons, on diagrams.
  • Relates studied shapes to real-life objects and contexts.
  • Calculates areas of the given figures.
  • Applies learned definitions, properties, and formulas to solve practical problems, including finding areas of real objects.
  • Solves advanced tasks such as dividing polygons into equal areas or exploring equidecomposability.

By the end of this course, students will confidently calculate areas of polygons, apply geometric properties, and solve practical and advanced problems with accuracy and understanding.

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