United University

Mathematics Grade 6. Revision. Ordinary fractions. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 51 hrs
Language version

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

This interactive course is tailored to help students revise and master the foundational concepts of ordinary fractions. Through dynamic activities, exercises, and quizzes, children will explore key mathematical topics in an interactive format, making learning enjoyable and effective. The course emphasizes active participation to deepen understanding and enhance problem-solving skills in mathematics.

Key Concepts Covered in the Course

  • Natural Numbers: Comparison, rounding, and arithmetic operations
  • Numerical and Algebraic Expressions: Formulas, equations, and word problems
  • Geometric Figures and Measurements
  • Divisibility Rules for Natural Numbers
  • Ordinary Fractions: Properties, comparisons, and operations
  • Decimal Fractions: Comparisons, rounding, and arithmetic operations
  • Percentages: Finding percentages and numbers based on percentages
  • Fraction Reduction and Common Denominators
  • Adding and Subtracting Fractions with Different Denominators
  • Converting Ordinary Fractions to Decimals
  • Multiplication and Division of Fractions
  • Systematization of Knowledge for Thematic Assessments

Course Modules

Modul 1: Introduction

  • Welcome, Students!
  • Welcome, Teachers and Adults!
  • Natural Numbers and Operations with Them
  • Geometric Figures and Measurements
  • Divisibility Rules for Natural Numbers
  • Ordinary Fractions and Operations with Them
  • Independent Homework #1
  • Knowledge Review: Grade 5 Mathematics

Modul 2: Ordinary Fractions

  • § 1. Percentages: Finding Percentages of Numbers
  • § 2. Finding Numbers Based on Percentages
  • § 3. Basic Properties of Fractions: Reduction and Common Denominators
  • § 4. Comparison of Fractions
  • § 5. Adding and Subtracting Fractions with Different Denominators
  • § 6. Adding and Subtracting Mixed Numbers
  • § 7. Converting Ordinary Fractions to Decimals
  • § 8. Decimal Approximations of Fractions
  • Independent Homework #2
  • § 9. Multiplication of Fractions
  • § 10. Finding Fractions of Numbers
  • § 11. Reciprocal Numbers
  • § 12. Division of Fractions
  • § 13. Finding Numbers Based on Fractions
  • § 14. Practice Problems on All Operations with Fractions
  • Independent Homework #3
  • Review Tasks: § 9–14
  • Exercises for Chapter 1 Revision

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

  • Compare and round natural numbers
  • Perform arithmetic operations with natural numbers and understand their properties
  • Solve problems involving numerical and algebraic expressions
  • Identify and work with geometric figures and measurements
  • Apply divisibility rules for natural numbers
  • Master operations with ordinary fractions and decimals
  • Compare and round decimal fractions
  • Calculate percentages and numbers based on percentages
  • Understand and use the basic properties of fractions
  • Find common denominators and compare fractions
  • Add and subtract fractions with different denominators
  • Convert ordinary fractions to decimals and perform decimal approximations
  • Multiply and divide ordinary fractions
  • Find fractions of numbers and reciprocal numbers
  • Solve exercises involving all operations with fractions

This interactive course not only reinforces core mathematical skills but also nurtures critical thinking and problem-solving abilities. Students will gain confidence in working with fractions and decimals, preparing them for more advanced topics in mathematics.

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