United University

Mathematics Grade 6. Rational numbers: multiplication and division. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 30 hrs
Language version

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   An engaging, interactive course designed for children, featuring interactive tests and exercises.

   This interactive course introduces students to the multiplication and division of rational numbers, building on their foundational mathematical skills. Through a series of dynamic lessons, students will explore mathematical properties, solve equations, and practice operations with rational numbers. The course includes interactive quizzes, tests, and exercises designed to reinforce learning, foster critical thinking, and prepare students for thematic assessments.

Key Concepts Covered in the Course

  • Multiplication of rational numbers
  • Commutative and associative properties of multiplication
  • The coefficient in algebraic expressions
  • Distributive property of multiplication
  • Similar terms and their simplification
  • Systematization of knowledge and thematic assessment preparation
  • Division of rational numbers
  • Solving equations and understanding their fundamental properties
  • Problem-solving using equations
  • Exercises on all operations with rational numbers

Course Modules

Module 1: Rational Numbers – Multiplication and Division

  • Lesson 36: Multiplication of Rational Numbers
  • Lesson 37: Commutative and Associative Properties of Multiplication. The Coefficient in Algebraic Expressions
  • Lesson 38: Distributive Property of Multiplication
  • Lesson 39: Similar Terms and Their Simplification
  • Independent Homework №8
  • Knowledge Check for Lessons 36–39
  • Lesson 40: Division of Rational Numbers
  • Lesson 41: Solving Equations. Fundamental Properties of Equations
  • Lesson 42: Solving Problems Using Equations
  • Lesson 43: Exercises on All Operations with Rational Numbers
  • Independent Homework №9
  • Knowledge Check for Lessons 40–43

Expected Learning Outcomes
By the end of this course, students will be able to:

  • Understand and perform multiplication and division of rational numbers
  • Apply commutative, associative, and distributive properties in mathematical operations
  • Recognize and simplify similar terms in algebraic expressions
  • Solve equations and understand their fundamental properties
  • Apply equations to solve real-world problems
  • Perform comprehensive exercises on all operations involving rational numbers
  • Systematize knowledge and prepare effectively for thematic assessments

This course not only builds a solid foundation in working with rational numbers but also equips students with essential problem-solving skills, enabling them to tackle complex mathematical challenges confidently and effectively.

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