KSP Математика 6 grade: Рациональные числа

This Grade 6 Mathematics lesson plan on “Rational Numbers” helps teachers introduce students to rational numbers, explain their properties, and apply knowledge in practical situations.

Lesson objective: to teach the definition, representation, comparison, addition, and subtraction of rational numbers.

Expected outcomes:

students know the definition of a rational number;
can represent rational numbers as fractions and decimals;
compare rational numbers;
perform addition and subtraction with rational numbers;
apply knowledge in practical problems.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review fractions, decimals, positive and negative numbers.
New topic
Rational number: a number that can be written as a/b, b ≠ 0
Representation as fraction and decimal
Comparison using common denominator or decimal form
Examples:
• 1/2 = 0.5
• -3/4 = -0.75
• 2/3 > 1/2
Practice
Compute: 1/3 + 1/6, -2/5 + 3/5, 0.25 + (-0.1)
Compare: 2/3 and 3/5, -1/2 and -2/3
Practical problem: portion of apples in a basket 3/4, used 1/2. Find remaining portion.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (fractions, financial calculations, measurements).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

What is a rational number?
A number that can be written as a/b, b ≠ 0.

How to represent a rational number?
As a fraction or decimal.

How to compare rational numbers?
Using common denominator or decimal form.

Example:
1/2 = 0.5, -3/4 = -0.75

Where is it applied?
Fractions, financial calculations, measurements.