Introduction to
ALGEBRA
Presented by
SEHAR (B.Ed II)
Sukkur IBA
Content
• Objectives
• Curriculum Alignment
• Introduction to Algebra
• Activity 1
• Significance of Algebra
• Activity 2
• Why we teach Algebra?
• Misconception (An Algebraic Story)
Curriculum Alignment
• Introduction to Algebra
• Algebraic Expression, Equation & Identities
• Factorization of Algebraic Expression
• Basic Algebraic Formulas
• Manipulation of Algebraic
OBJECTIVES
To enable students to:
• Understand the language of algebra (use of letters of the alphabets to
represent numbers).
• Differentiate between Variables & Constants.
• Substitute numbers for letters of the alphabet in expressions and
formula.
• Manipulate simple algebraic expressions
What is Algebra?
The part of mathematics in which letters and other general
symbols are used to represent numbers and quantities in
formulae and equations.
Term : A word or phrase used to describe a thing or to
express a concept
Expression : It is a mathematical sentence; it doesn’t have
an equal sign
Equation: It is a complete Mathematical sentence that
includes a sign of equality
Parts of Algebraic Expression
Variable:
A variable is a symbol which represents a quantity that can
vary.
Constant
A constant is a symbol which represents a specific number
(a quantity does not vary).
Coefficient
The number that is multiplied by the variable.
Activity 1
Sweets Begs
Significance of Algebra
In the primary curriculum algebra can be seen as the
development of children’s ability to think and reason logically
and systematically.
Activity 2
Steps:
1. Think of a number
2. Multiply it by 2
3. Add 10 to the number
4. Divide total by 2
5. Subtract total form number u picked
Answer will be
Why we Teach Algebra?
We teaches algebra because , our real duty as teacher is not
merely to prepare our students for some “Real World” , and it
certainly is not merely to prepare them for workplace.
If we deny them access to algebra we deny them access to an
entire intellectual universe.
We Teach algebra to provide students all entire intellectual of
universe
Misconception
An Algebraic Story
The greatest enemy of understanding is coverage. As long as
you are determined to cover everything, you actually ensure
that most kids are not going to understand. You’ve got to
take enough time to get kids deeply involved in something so
they can think about it in lots of different ways and apply it –
not just at school but at home and on the street and so on.
(Brandt, 1993)
Introduction to algebra

Introduction to algebra

  • 2.
  • 3.
    Content • Objectives • CurriculumAlignment • Introduction to Algebra • Activity 1 • Significance of Algebra • Activity 2 • Why we teach Algebra? • Misconception (An Algebraic Story)
  • 4.
    Curriculum Alignment • Introductionto Algebra • Algebraic Expression, Equation & Identities • Factorization of Algebraic Expression • Basic Algebraic Formulas • Manipulation of Algebraic
  • 5.
    OBJECTIVES To enable studentsto: • Understand the language of algebra (use of letters of the alphabets to represent numbers). • Differentiate between Variables & Constants. • Substitute numbers for letters of the alphabet in expressions and formula. • Manipulate simple algebraic expressions
  • 6.
    What is Algebra? Thepart of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
  • 7.
    Term : Aword or phrase used to describe a thing or to express a concept Expression : It is a mathematical sentence; it doesn’t have an equal sign Equation: It is a complete Mathematical sentence that includes a sign of equality
  • 8.
  • 9.
    Variable: A variable isa symbol which represents a quantity that can vary.
  • 10.
    Constant A constant isa symbol which represents a specific number (a quantity does not vary). Coefficient The number that is multiplied by the variable.
  • 11.
  • 12.
    Significance of Algebra Inthe primary curriculum algebra can be seen as the development of children’s ability to think and reason logically and systematically.
  • 13.
    Activity 2 Steps: 1. Thinkof a number 2. Multiply it by 2 3. Add 10 to the number 4. Divide total by 2 5. Subtract total form number u picked
  • 14.
  • 15.
    Why we TeachAlgebra? We teaches algebra because , our real duty as teacher is not merely to prepare our students for some “Real World” , and it certainly is not merely to prepare them for workplace. If we deny them access to algebra we deny them access to an entire intellectual universe. We Teach algebra to provide students all entire intellectual of universe
  • 16.
  • 17.
  • 19.
    The greatest enemyof understanding is coverage. As long as you are determined to cover everything, you actually ensure that most kids are not going to understand. You’ve got to take enough time to get kids deeply involved in something so they can think about it in lots of different ways and apply it – not just at school but at home and on the street and so on. (Brandt, 1993)