KSP Математика 6 grade: Решение уравнений
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Introduction
This Grade 6 Mathematics lesson plan on “Solving Equations” helps teachers teach students to independently find the variable values that satisfy an equation and apply this skill in practical problems.
Main material
Lesson objective: to develop the skill of solving linear equations with one variable and checking correctness of solutions.
Expected outcomes:
students understand the process of solving equations;
apply arithmetic operations to find variable values;
check solutions for correctness;
use equations in practical problem solving.
Lesson structure:
Organization
Greeting and preparation.
Prior knowledge
Review equations, expressions with variables, arithmetic operations.
New topic
Solving an equation – finding a variable value that makes the equality true
Rules:
• Move terms changing signs;
• Perform arithmetic operations;
• Check the result by substitution
Examples:
• x + 7 = 15 → x = 8
• 3a - 5 = 10 → a = 5
• 2y/4 + 3 = 7 → y = 8
Practice
Solve:
• x + 6 = 14
• 2a + 3 = 11
• 5y - 10 = 15
Create and solve an equation from a word problem.
Practical problem: sum of two numbers is 20. One number is x. Find the other number.
Consolidation
Pair work: discuss solutions, check by substitution, explain steps.
Reflection
Applications: practical problems, finance, measurements.
Conclusion
Summary, brief feedback, mention achievements (5–10%).
Teaching methods: explanation, practical work, pair work, substitution checking, visualization.
Frequently Asked Questions
What does it mean to solve an equation?
Find a variable value that makes the equality true.
How to check a solution?
Substitute the variable value and ensure the equality holds.
Example:
x + 7 = 15 → x = 8, check: 8 + 7 = 15.
Can negative numbers be used?
Yes, the rules remain the same.
Where is it applied?
Practical problems, finance, measurements.