KSP Математика 6 grade: Выражения с переменными
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Introduction
This Grade 6 Mathematics lesson plan on “Expressions with Variables” helps teachers teach students to understand, create, and calculate algebraic expressions containing variables and apply them in problem solving.
Main material
Lesson objective: to develop the skill of working with expressions with variables, understanding their structure, and calculating values by substituting numbers.
Expected outcomes:
students know what a variable and an expression with a variable are;
can create expressions from word problems;
compute values of expressions given variable values;
apply expressions with variables in practical problems.
Lesson structure:
Organization
Greeting.
Prior knowledge
Review numbers, arithmetic operations, and symbols/letters in mathematics.
New topic
Variable – a symbol that can take different values
Expression with a variable – combination of numbers, variables, and operations (+, -, ×, ÷)
Examples:
• 3x + 5
• 2a - 7
• 5y × 2
Rule: substitute the variable with a number and perform operations
Practice
Compute: if x = 2, 3x + 5; if a = 4, 2a - 7; if y = 3, 5y × 2
Create expression: “increase a number by 7 and multiply by 2”
Practical problem: Price of a book is x tenge. Find the cost of 3 books.
Consolidation
Pair work: discuss solutions, check calculations, explain steps.
Reflection
Discuss applications (finance, measurements, practical calculations).
Conclusion
Summary, brief feedback, mention results (5–10%).
Teaching methods: explanation, practical work, pair work, visualization, discussion.
Frequently Asked Questions
What is a variable?
A symbol that can take different values.
What is an expression with a variable?
Combination of numbers, variables, and arithmetic operations.
How to calculate an expression with a variable?
Substitute the variable with a number and perform operations.
Example:
3x + 5, if x = 2, then 3·2 + 5 = 11
Where is it applied?
Finance, measurements, practical calculations.