KSP Математика 6 grade: Деление дробей

Introduction

This Grade 6 Mathematics lesson plan on “Dividing Fractions” helps teachers teach students to correctly divide fractions using multiplication by the reciprocal, developing calculation skills and practical applications.

Main material

Lesson objective: to teach students to divide fractions using dividend × reciprocal of divisor, and reducing fractions before operation.

Expected outcomes:

students can divide fractions using reciprocal fractions;
reduce fractions before division to simplify calculations;
apply division of fractions in practical and learning tasks;
understand the practical significance of dividing fractions.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review fraction, numerator, denominator, reciprocal fraction, reduction.
New topic
Divide fractions: dividend × reciprocal of divisor
Reduce fractions before division
Examples:
2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6
5/8 ÷ 2/3 = 5/8 × 3/2 = 15/16
Practice
Divide 3/7 ÷ 2/5
Divide 4/9 ÷ 3/8
Solve: 5/6 ÷ 2/3
Consolidation
Pair work: check calculations and discuss mistakes.
Reflection
Discuss practical applications of dividing fractions.
Conclusion
Summary and brief feedback.

Teaching methods: explanation, practical work, pair work, discussion.

Frequently Asked Questions

How to divide fractions?
Multiply the dividend by the reciprocal of the divisor.

Can fractions be reduced before division?
Yes, it simplifies calculations.

Why divide fractions?
For calculations, problem-solving, and practical applications.

How to reinforce learning?
Through exercises dividing fractions.

Can dividing fractions find how many parts one number fits into another?
Yes, it determines how many times one number fits into another.

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