KSP Математика 6 grade: Деление десятичных дробей

Introduction

This Grade 6 Mathematics lesson plan on “Division of Decimal Fractions” helps teachers teach students to correctly divide decimals, developing calculation skills and the ability to apply them in practical problems.

Main material

Lesson objective: to teach students to perform division of decimal fractions and apply the results in practical problems.

Expected outcomes:

students can divide decimals;
correctly determine the number of decimal places in the result;
apply division of decimals in practical tasks.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review division of natural numbers and decimals.
New topic
Rules: if divisor is decimal, multiply divisor and dividend by the same power of 10, then divide as whole numbers
Examples:
1.2 ÷ 0.4 = 3
3.45 ÷ 1.5 = 2.3
Practical examples: measurements, money, length, mass
Practice
2.4 ÷ 0.6
7.5 ÷ 2.5
Practical problem: divide 5.6 kg of candy into 0.8 kg packages. How many packages?
Consolidation
Pair work: check solutions, discuss mistakes, review practical examples.
Reflection
Discuss practical applications of decimal division in life and studies.
Conclusion
Summary, brief feedback, mention assessment (5–10% of text).

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

Frequently Asked Questions

How to divide decimal fractions?
If the divisor is decimal, multiply both divisor and dividend by the same power of 10, then divide as whole numbers.

How to determine number of decimal places in result?
Place the decimal point correctly according to division rules.

Can division be applied in real life?
Yes, in pricing, mass, volume, length, and dividing into parts.

What are common mistakes?
Incorrect multiplication by 10, wrong placement of decimal point.

How to check correctness?
Multiply the result by the divisor — it should equal the dividend.

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