United University

Geometry Grade 10. Parallelism of lines and planes in space. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 17 hours

This interactive course introduces 10th-grade students to the concepts of parallelism in solid geometry. It offers a structured exploration of essential topics such as the relative positions of lines and planes in space, parallel projection, and the construction of cross-sections of polyhedra. Through interactive problem-solving and practice exercises, students will strengthen their understanding of three-dimensional geometric relationships.

To access the course, please log in or choose a subscription plan.

Log In Select a Plan

What is Unibot?

Unibot is a platform for educational systems that combines an administration panel and a chatbot. It allows you to easily upload data, customize chatbots without programming, and manage courses. It supports multilingual bots, content management, and optimized resource utilization for efficiency. The platform makes educators' work easier by automating repetitive tasks. Different pricing plans are available, from basic to premium, which differ in the number of supported bots, languages, messages, and other features.

More information

This interactive course introduces 10th-grade students to the concepts of parallelism in solid geometry. It offers a structured exploration of essential topics such as the relative positions of lines and planes in space, parallel projection, and the construction of cross-sections of polyhedra. Through interactive problem-solving and practice exercises, students will strengthen their understanding of three-dimensional geometric relationships.

Key Features of the Course

  • Interactive learning through problem-solving tasks and exercises
  • Development of analytical and spatial reasoning skills
  • Aligned with national curriculum standards in mathematics
  • Engaging review tasks and independent assignments for consolidation

Course Modules

Module 1: Parallelism of Lines and Planes in Space

  • Lesson 3: Relative Positions of Lines in Space
  • Solve problems and complete exercises
  • Test your competence
  • Lesson 4: Relative Position of a Line and a Plane in Space. Criterion for Parallelism of a Line and a Plane
  • Solve problems and complete exercises
  • Test your competence
  • Independent Homework #2
  • Complete the tests
  • Review tasks for §§ 3-4
  • Complete the tasks
  • Lesson 5: Relative Position of Two Planes in Space. Criteria and Properties of Parallel Planes
  • Solve problems and complete exercises
  • Test your competence
  • Lesson 6: Parallel Projection, Its Properties. Images of Figures in Stereometry
  • Solve problems and complete exercises
  • Test your competence
  • Lesson 7: Construction of Cross-sections of Polyhedra
  • Solve problems and complete exercises
  • Test your competence
  • Independent Homework #3
  • Complete the tests
  • Review tasks for §§ 5-7
  • Complete the tasks
  • Review Exercises for Section 2

Expected Learning Outcomes

  • Classifies the relative positions of lines, a line and a plane, and planes in space based on the number of their common points.
  • Establishes the parallelism of lines, a line and a plane, and two planes.
  • Determines if two lines are skew lines.
  • Draws figures in space.
  • Applies the relationships of parallelism between lines and planes in space to describe relationships between real-world objects.

This course builds strong geometric fundamentals and analytical skills by integrating theoretical knowledge with practical problem-solving. Students will explore geometry through a logical, three-dimensional approach, enhancing both academic performance and mathematical thinking.

Back to top