KSP Математика 6 grade: Разложение на простые множители

This Grade 6 Mathematics lesson plan on “Prime Factorization” helps teachers teach students to represent numbers as a product of prime factors. The lesson develops analytical thinking, number skills, and prepares students for GCD and LCM problems.

Lesson objective: to teach students to factor composite numbers into prime factors and use this for simplifying calculations and problem-solving.

Expected outcomes:

students know prime and composite numbers;
can decompose a number into prime factors;
use factorization to find GCD and LCM;
apply factorization in practical and learning tasks.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review concepts: prime number, composite number, divisibility rules.
New topic
Methods of prime factorization:
Division by prime numbers
Factor tree method
Examples: 60 = 2 × 2 × 3 × 5, 84 = 2 × 2 × 3 × 7
Practice
Factorize 48, 90, 120 into prime factors
Create a factor tree for 126
Use factorization to find GCD and LCM
Consolidation
Pair work: check each other’s factorization, discuss errors.
Reflection
Discuss applications of prime factorization in mathematics and real life.
Conclusion
Summary and brief feedback.

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

What are prime and composite numbers?
Prime numbers have only two divisors: 1 and itself. Composite numbers have more than two divisors.

What is prime factorization?
Representing a number as a product of prime numbers.

How does factorization help in problem-solving?
Used to find GCD, LCM, and simplify calculations.

What methods exist for factorization?
Division by primes, factor tree.

How to reinforce learning?
Through practical exercises and checking each other’s factorization.