KSP Математика 6 grade: Основное свойство дроби
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Introduction
This Grade 6 Mathematics lesson plan on “Fundamental Property of Fractions” helps teachers explain how multiplying or dividing the numerator and denominator by the same number does not change the fraction’s value.
Main material
Lesson objective: to teach students to use the fundamental property of fractions to find equivalent fractions and simplify calculations.
Expected outcomes:
students understand that a fraction remains equal when numerator and denominator are multiplied or divided by the same number;
can find equivalent fractions;
apply the property in comparing, adding, and subtracting fractions;
use the property in practical and learning tasks.
Lesson structure:
Organization
Greeting.
Prior knowledge
Review numerator, denominator, fraction, and comparing fractions.
New topic
Fundamental property: multiplying or dividing numerator and denominator by the same number does not change the fraction
Examples:
2/3 = 4/6 = 6/9
5/8 = 10/16 = 15/24
Practice
Find two equivalent fractions for 3/4 and 7/10
Compare 2/3 and 4/6
Add fractions with different denominators using equivalent fractions: 1/3 + 2/6
Consolidation
Pair work: check equivalent fractions, discuss mistakes.
Reflection
Discuss the importance of equivalent fractions in mathematics and daily life.
Conclusion
Summary and brief feedback.
Teaching methods: explanation, practical work, pair work, discussion.
Frequently Asked Questions
What is the fundamental property of fractions?
A fraction remains equal when numerator and denominator are multiplied or divided by the same number.
How to find equivalent fractions?
Multiply or divide numerator and denominator by the same number.
What is the property used for?
Simplifying calculations, comparing, adding, and subtracting fractions.
Can a fraction with different numerator and denominator still be equal?
Yes, if the fundamental property is applied.
How to reinforce learning?
Through exercises finding equivalent fractions and performing addition/subtraction.