KSP Математика 6 grade: Умножение отрицательных чисел

Introduction

This Grade 6 Mathematics lesson plan on “Multiplying Negative Numbers” helps teachers teach students rules for multiplying positive and negative numbers, understand the sign of the product, and apply it in problem solving.

Main material

Lesson objective: to develop the skill of multiplying negative numbers and correctly determining the sign of the product in various situations.

Expected outcomes:

students know rules for multiplying positive and negative numbers;
compute products with negative numbers correctly;
understand the relationship between the signs of factors and the product;
apply skills in practical problems.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review positive and negative numbers, addition and subtraction with negative numbers.
New topic
Multiplication rules:
• (+) × (+) = +
• (+) × (-) = -
• (-) × (+) = -
• (-) × (-) = +
Examples:
• 5 × (-3) = -15
• -4 × 6 = -24
• -3 × (-2) = 6
Practice
Compute: -7 × 5, 8 × (-2), -3 × (-4), 6 × (-6)
Practical problem: temperature changes by -3°C each day for 4 days. Find total change.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (temperature, financial losses, water levels).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

Frequently Asked Questions

How to multiply negative numbers?
Use the sign rule: (-) × (-) = +, (-) × (+) = -.

Example:
5 × (-3) = -15, -3 × (-2) = 6

What if one factor is negative?
The product is negative.

What if both factors are negative?
The product is positive.

Where is it applied?
Temperature, financial losses, practical calculations.

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