KSP Математика 6 grade: Делимость чисел

Introduction

This Grade 6 Mathematics lesson plan on “Divisibility of Numbers” helps teachers explain divisibility rules, develop students’ ability to determine which numbers divide evenly, and apply this knowledge in problem-solving.

Main material

Lesson objective: to teach students to determine divisibility of numbers by different divisors and use divisibility rules to simplify calculations.

Expected outcomes:

students know divisibility rules for 2, 3, 5, 9, 10;
can quickly check divisibility of numbers;
apply divisibility rules in factorization and problem-solving;
analyze numbers to find common and prime divisors.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review concepts: number, divisor, remainder.
New topic
Explain divisibility rules:
By 2 — if the number is even
By 3 — if sum of digits divisible by 3
By 5 — if number ends with 0 or 5
By 9 — if sum of digits divisible by 9
By 10 — if number ends with 0
Practice
Check divisibility of 24, 135, 90 by 2, 3, 5, 9, 10
Create numbers divisible by a given divisor
Solve factorization problems using divisibility
Consolidation
Pair work: compare results and discuss mistakes.
Reflection
Discuss applications of divisibility in life and mathematics.
Conclusion
Summary and brief feedback.

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

Frequently Asked Questions

What is number divisibility?
It is the ability to divide a number by another without remainder.

Which divisibility rules should be known?
For 2, 3, 5, 9, 10.

How to check if a number is divisible?
Use divisibility rules or division without remainder.

Where is divisibility knowledge applied?
Factorization, GCD, solving problems.

How to reinforce learning?
Through practical exercises and factorization of numbers.

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