KSP Математика 6 grade: Решение задач на пропорции
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Introduction
This Grade 6 Mathematics lesson plan on “Solving Problems Using Proportions” helps teachers teach students how to apply proportions in real-life problem solving.
Main material
Lesson objective: to teach students how to solve problems using proportions.
Expected outcomes:
students can form proportions from problem conditions;
find unknown values;
understand relationships between quantities;
apply proportions in practical problems.
Lesson structure:
Organization
Greeting.
Prior knowledge
Review proportions and their fundamental property.
New topic
Solution algorithm:
identify known and unknown values
form a proportion
apply the property
find the unknown
Examples:
3 kg of apples cost 900, how much do 5 kg cost?
2 notebooks cost 200, how much do 7 cost?
Practice
4 kg of candy cost 800. How much for 6 kg?
5 m of fabric cost 1500. How much for 2 m?
Practical problem: a car travels 60 km in 1 hour. How far in 3 hours?
Consolidation
Pair work: discuss, check, and explain solutions.
Reflection
Discuss applications (prices, speed, distance).
Conclusion
Summary, brief feedback, mention results (5–10%).
Teaching methods: explanation, practical work, pair work, discussion.
Frequently Asked Questions
How to solve proportion problems?
Form a proportion and use its property to find the unknown.
Where to start?
Identify known and unknown values.
Where is it used?
In price, distance, and speed problems.
What are common mistakes?
Incorrect proportion setup or calculation errors.
How to reinforce learning?
By solving practical problems.