KSP Математика 6 grade: Подстановка значений

Introduction

This Grade 6 Mathematics lesson plan on “Substituting Values” helps teachers teach students to substitute specific numbers into expressions with variables, calculate the result correctly, and check solutions in practical problems.

Main material

Lesson objective: to develop the skill of substituting variable values into expressions and calculating the result.

Expected outcomes:

students understand the principle of substitution;
can compute values of expressions for different variable values;
check correctness of calculations;
apply substitution in practical problems.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review expressions with variables, arithmetic operations, and calculation rules.
New topic
Substituting values – replacing a variable with a number and calculating the result
Examples:
• If x = 3, 2x + 5 = 11
• If a = -2, 3a - 4 = -10
• If y = 0, 5y + 7 = 7
Practice
Compute:
• x = 4, 3x + 2
• a = -1, 5a - 3
• y = 2, 4y + 6
Create an expression from a word problem and substitute a value.
Practical problem: price of one pencil is x tenge. Find the cost of 7 pencils.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (practical calculations, finance, measurements).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

Frequently Asked Questions

What is substituting values?
Replacing a variable with a number and calculating the result.

Example:
x = 3, 2x + 5 = 11

How to check correctness of calculations?
Substitute the value again and ensure the result matches.

Where is it applied?
Practical calculations, finance, measurements.

Can negative numbers be substituted?
Yes, the calculation rules remain the same.

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