KSP Математика 6 grade: Деление отрицательных чисел
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Introduction
This Grade 6 Mathematics lesson plan on “Dividing Negative Numbers” helps teachers teach students rules for dividing positive and negative numbers, understand the sign of the quotient, and apply it in practical problems.
Main material
Lesson objective: to develop the skill of dividing negative numbers and correctly determining the sign of the quotient.
Expected outcomes:
students know rules for dividing positive and negative numbers;
correctly calculate quotients with negative numbers;
understand the relationship between the signs of dividend and divisor and the sign of the result;
apply skills in practical problems.
Lesson structure:
Organization
Greeting.
Prior knowledge
Review multiplication of negative numbers, addition and subtraction with negative numbers.
New topic
Division rules:
• (+) ÷ (+) = +
• (+) ÷ (-) = -
• (-) ÷ (+) = -
• (-) ÷ (-) = +
Examples:
• 12 ÷ (-3) = -4
• -15 ÷ 5 = -3
• -20 ÷ (-4) = 5
Practice
Compute: -18 ÷ 6, 24 ÷ (-8), -36 ÷ (-9), 14 ÷ (-7)
Practical problem: a company has a debt of -120,000 tenge, divide over 4 months. Find monthly change.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (financial losses, temperature, water levels).
Conclusion
Summary, brief feedback, mention results (5–10%).
Teaching methods: explanation, practical work, pair work, visualization, discussion.
Frequently Asked Questions
How to divide negative numbers?
Use the sign rule: (-) ÷ (-) = +, (-) ÷ (+) = -.
Example:
12 ÷ (-3) = -4, -20 ÷ (-4) = 5
What if one number is negative?
The quotient is negative.
What if both numbers are negative?
The quotient is positive.
Where is it applied?
Financial losses, temperature, practical calculations.