KSP Математика 6 grade: Сложение чисел с разными знаками

Introduction

This Grade 6 Mathematics lesson plan on “Adding Numbers with Different Signs” helps teachers teach students to perform calculations with positive and negative numbers, understand rules of addition, and apply them in practical problems.

Main material

Lesson objective: to develop the skill of adding numbers with different signs and applying it in mathematical and practical tasks.

Expected outcomes:

students know rules for adding numbers with different signs;
determine the sign of the sum;
correctly calculate expressions with positive and negative numbers;
apply the skill in practical examples.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review positive and negative numbers, comparing numbers, absolute value.
New topic
Addition rules:
• same signs — add absolute values, keep the sign
• different signs — subtract smaller absolute value from larger, take the sign of the larger
Examples:
• 5 + (-3) = 2
• -7 + 4 = -3
• -6 + 6 = 0
Practice
Compute: -5 + 3, 8 + (-10), -4 + 7, 6 + (-6)
Practical problem: night temperature -3°C, daytime +5°C. Find net change.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (temperature, finance, water levels).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

Frequently Asked Questions

What is adding numbers with different signs?
Adding a positive and a negative number.

How to determine the sign of the sum?
Take the sign of the number with the larger absolute value.

What if absolute values are equal?
The sum is zero.

Example:
5 + (-3) = 2, -7 + 4 = -3

Where is it used?
Temperature, finance, water levels, practical calculations.

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