KSP Математика 6 grade: Признаки делимости

This Grade 6 Mathematics lesson plan on “Divisibility Rules” helps teachers teach students to quickly determine if a number is divisible by a specific divisor and apply this knowledge to simplify calculations and solve problems.

Lesson objective: to introduce students to divisibility rules and teach them to apply rules to check numbers for divisibility.

Expected outcomes:

students know divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10;
can quickly check divisibility without full division;
apply rules when factorizing numbers and solving problems;
analyze numbers and find patterns.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review concepts: number, divisor, remainder, even number.
New topic
Explain divisibility rules:
By 2 — if the number is even
By 3 — if sum of digits divisible by 3
By 4 — if last two digits divisible by 4
By 5 — if number ends with 0 or 5
By 6 — if divisible by 2 and 3
By 8 — if last three digits divisible by 8
By 9 — if sum of digits divisible by 9
By 10 — if number ends with 0
Practice
Check divisibility of 48, 135, 200, 72, 504 using rules
Create numbers divisible by a given divisor
Solve factorization problems using rules
Consolidation
Pair work: compare results and discuss mistakes.
Reflection
Discuss importance and applications of divisibility rules in life and mathematics.
Conclusion
Summary and brief feedback.

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

What are divisibility rules?
Rules to determine whether a number is divisible by a specific divisor without remainder.

Which divisibility rules should be known?
2, 3, 4, 5, 6, 8, 9, 10.

How to check a number’s divisibility?
Apply the appropriate divisibility rule.

Where are divisibility rules applied?
Factorization, GCD, problem-solving, simplifying calculations.

How to reinforce learning?
Through practical exercises and examples with numbers.