KSP Математика 6 grade: Нахождение числа по проценту

Introduction

This Grade 6 Mathematics lesson plan on “Finding a Number by Percentage” helps teachers teach students how to determine the original number from a given percentage.

Main material

Lesson objective: to teach students how to find a number given its percentage and apply it in practical problems.

Expected outcomes:

students can find a number from its percentage;
convert percentages to decimals;
perform calculations with percentages;
apply knowledge in real-life situations.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review percentages and finding percentage of a number.
New topic
Finding number by percentage: value ÷ percentage
Convert percentage to decimal
Examples:
20% = 10 → number = 10 ÷ 0.2 = 50
25% = 15 → number = 15 ÷ 0.25 = 60
Practice
Find number if 10% = 20
Find number if 50% = 40
Find number if 5% = 15
Practical problem: after 20% discount price is 800. Find original price
Consolidation
Pair work: check and discuss solutions.
Reflection
Discuss real-life use (discounts, finance).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

Frequently Asked Questions

How to find a number by percentage?
Divide the known value by the percentage.

How to convert percentage to decimal?
Divide by 100.

Where is it used?
In shopping, finance, and calculations.

What are common mistakes?
Incorrect conversion or division.

How to reinforce learning?
Through practical percentage problems.

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