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RMB DAV
CENTENARY PUBLIC SCHOOL NAWANSHAHR |
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NAME OF THE TEACHER |
DINESH KUMAR |
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CLASS |
VIII |
CHAPTER |
09 |
SUBJECT |
MATHEMATICS |
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TOPIC |
LINEAR EQUATIONS IN ONE
VARIABLE |
DURATION : 16 Class
Meetings |
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PRE-REQUISTIC KNOWLEDGE
Basic Arithmetic:
Students should have a strong
grasp of basic arithmetic operations, including addition, subtraction,
multiplication, and division. These operations are the building blocks of
solving linear equations.
Knowledge of Variables:
Students should be familiar with
the concept of variables as symbols that represent unknown values in
mathematical expressions and equations.
Understanding of Expressions:
Students should understand how
to work with algebraic expressions, including combining like terms and
simplifying expressions.
Order of Operations:
Students should know and apply
the order of operations (BODMAS) when simplifying expressions and solving
equations.
Solving Simple Equations:
Students should have
experience solving simple equations involving addition and subtraction, such as
2x + 3 = 7 or 3y - 5 = 1.
MATERIALS REQUIRED:
Chalkboard/Whiteboard, markers,
Handouts with practice problems, Projector (optional)
LEARNING OBJECTIVES:
LEARNING OUTCOMES
· Students will understand the concept of linear equations in one variable, recognizing them as mathematical statements that involve a single unknown (variable).
Students will be able to solve basic linear equations by applying the fundamental principles of isolating the variable, combining like terms, and simplifying equations step by step.
Students will be able to translate real-world problems and situations into linear equations, allowing them to apply mathematical reasoning to practical scenarios.
Students will learn and use key mathematical vocabulary related to equations, including terms such as variables, coefficients, constants, and solutions.
RESOURCES
Introduction:
Begin the lesson by discussing
with students the importance of equations in mathematics and real-life
situations.
Introduce the topic of linear
equations and explain that linear equations in one variable involve solving for
a single unknown.
Write a simple linear equation
on the board, e.g., 2x + 3 = 7, and explain the components of the equation:
variables, coefficients, and constants.
Encourage students to seek
help if they encounter difficulties with their homework.
SKILL ENHANCED
Problem-Solving Skills:
Students will develop
problem-solving skills through the process of solving linear equations. They
will be able to identify and apply relevant mathematical operations to reach a
solution.
Critical Thinking and Logical Reasoning:
Students will engage in
critical thinking and logical reasoning when determining the appropriate steps
to solve equations and explaining their thought processes.
Mathematical Communication:
Students will improve their
ability to communicate their mathematical reasoning both in writing and through
class discussions.
Real-World Application:
Students will recognize the
practical applications of linear equations in various fields and understand the
value of this mathematical concept in solving everyday problems.
ASSESSMENT TECHNIQUES
Assess students' understanding through class participation, practice problems, and homework assignments.
Provide additional challenges
for advanced students, such as more complex equations.
Offer extra support to
struggling students by providing additional practice and one-on-one assistance
as needed.
Homework and Self-Practice:
Students will demonstrate
their ability to apply what they have learned by completing homework
assignments independently.
Peer Learning and Collaboration:
Students will have the
opportunity to work collaboratively, discuss problem-solving strategies with
peers, and learn from one another's approaches.
Assessment of Understanding:
The teacher will assess students' comprehension and skills through class participation, practice problems, and homework assignments.
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