KSP Математика 6 grade: Уравнения

This Grade 6 Mathematics lesson plan on “Equations” helps teachers teach students to understand equations, create them from problem statements, solve, and check the results.

Lesson objective: to develop the skill of creating and solving linear equations with one variable and checking the solutions.

Expected outcomes:

students know what an equation and its root are;
can create an equation from a word problem;
solve equations with one variable;
check correctness of solution;
apply equations in practical problems.

Lesson structure:

Organization
Greeting.
Prior knowledge
Review expressions with variables and calculation rules.
New topic
Equation – an equality with one or more variables
Root – the value of the variable that makes the equality true
Steps: isolate the variable and perform arithmetic operations
Examples:
• x + 5 = 12 → x = 7
• 3a - 4 = 11 → a = 5
• 2y/3 = 4 → y = 6
Practice
Solve:
• x + 8 = 15
• 2a - 3 = 7
• 5y = 20
Create an equation from a word problem and solve it.
Practical problem: Sum of two numbers is 12. One number is x. Find the other number.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (finance, measurements, practical problems).
Conclusion
Summary, brief feedback, mention results (5–10%).

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

What is an equation?
An equality with one or more variables.

What is the root of an equation?
The value of the variable that makes the equality true.

How to solve a linear equation with one variable?
Isolate the variable and perform arithmetic operations.

Example:
x + 5 = 12 → x = 7

Where is it applied?
Finance, measurements, practical problems.