KSP Математика 6 grade: Пропорции
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Introduction
This Grade 6 Mathematics lesson plan on “Proportions” helps teachers teach students to understand and use the equality of two ratios in solving problems.
Main material
Lesson objective: to teach students to understand proportions and find the unknown term.
Expected outcomes:
students understand what a proportion is;
know the main property of proportions;
can find the unknown term;
apply proportions in practical problems.
Lesson structure:
Organization
Greeting.
Prior knowledge
Review ratios, division, and fractions.
New topic
A proportion is an equality of two ratios: a : b = c : d
Main property: product of extremes equals product of means
Examples:
2 : 3 = 4 : 6
x : 5 = 10 : 2 → x = 25
Practice
Find x: x : 4 = 12 : 3
Find x: 5 : x = 15 : 3
Practical problem: if 3 notebooks cost 450, how much do 5 cost?
Consolidation
Pair work: discuss and check answers.
Reflection
Discuss applications (prices, scale, speed).
Conclusion
Summary, brief feedback, mention results (5–10%).
Teaching methods: explanation, practical work, pair work, discussion.
Frequently Asked Questions
What is a proportion?
It is an equality of two ratios.
What is the main property?
Product of extremes equals product of means.
How to find the unknown?
Use the main property.
Where is it used?
In prices, distances, and scale problems.
What are common mistakes?
Incorrect setup or calculation errors.