United University

Geometry Grade 11. Bodies of rotation. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 12 hours

This interactive course introduces 11th-grade students to the study of bodies of rotation, including cylinders, cones, spheres, and their combinations. Through engaging lessons, practical exercises, and fully interactive topic-based tests, learners explore the properties and applications of rotational solids. The course develops spatial reasoning, geometric visualization, and analytical thinking, helping students confidently apply solid geometry concepts in both academic and real-world contexts.

Language version

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 11th-grade students to the study of bodies of rotation. It offers a structured and engaging exploration of cylinders, cones, spheres, and their combinations. Through theoretical lessons, practical exercises, and interactive topic-based tests, learners develop a deep understanding of the properties and applications of rotational solids. The course enhances spatial reasoning, geometric visualization, and analytical thinking through problem-solving and independent practice.

Key Features of the Course

  • Interactive and structured learning with problem-solving activities
  • Fully interactive tests for each topic
  • Development of spatial reasoning and geometric visualization
  • Comprehensive coverage of bodies of rotation and their key properties
  • Exercises designed for both classroom practice and self-study
  • Aligned with the national curriculum standards in mathematics

Course Modules
 
 Module 1: Bodies of Rotation

  • Lesson 5: Bodies and Surfaces of Rotation. Cylinder
  • Solve problems and complete exercises 5.1 – 5.25
  • Solve problems and complete exercises 5.26 – 5.50
  • Solve problems and complete exercises 5.51 – 5.69
  • Test your competence
  • Lesson 6: Cone
  • Solve problems and complete exercises 6.1 – 6.25
  • Solve problems and complete exercises 6.26 – 6.50
  • Solve problems and complete exercises 6.51 – 6.76
  • Test your competence
  • Lesson 7: Sphere and Ball
  • Solve problems and complete exercises 7.1 – 7.25
  • Solve problems and complete exercises 7.26 – 7.50
  • Solve problems and complete exercises 7.51 – 7.75
  • Solve problems and complete exercises 7.76 – 7.96
  • Test your competence
  • Lesson 8: Combinations of Geometric Solids
  • Solve problems and complete exercises 8.1 – 8.25
  • Solve problems and complete exercises 8.26 – 8.50
  • Solve problems and complete exercises 8.51 – 8.75
  • Solve problems and complete exercises 8.76 – 8.100
  • Solve problems and complete exercises 8.101 – 8.119
  • Test your competence
  • Independent Homework #2
  • Knowledge review tasks for §§ 5–8
  • Review exercises for Section 2
  • For §5
  • For §6
  • For §7
  • For §8

Expected Learning Outcomes

  • Calculates measures of the main elements of bodies of rotation.
  • Applies properties of bodies of rotation to solve practical and theoretical problems.
  • Recognizes types of rotational solids and their elements.
  • Identifies polyhedra and bodies of rotation in combined geometric forms and real-world objects.

Required Skills

  • Basic computer literacy and the ability to read and write.
  • Mathematical knowledge at the 11th-grade level.

This course strengthens geometric understanding through hands-on practice and visualization. By integrating theory with interactive problem-solving, students gain the ability to model, analyze, and interpret three-dimensional figures in both academic and real-world contexts.

Back to top