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SLIDESMANIA.COM
ILLUSTRATING
QUADRATIC EQUATIONS
Grade 9 – Mathematics: Quarter I
• GHS●Mathematics Department ● Gr9● aaadjame14.estiola
ALLEN M. ESTIOLA
Master Teacher I, GUN-OB HS, LLC Division
SLIDESMANIA.COM
Objectives:
1. Define a quadratic equations
2. Write quadratic equations in
standard form ax2 + bx + c = 0
3. Identify the real numbers a, b
and c.
SLIDESMANIA.COM
Was born in Germany on April 18th. 1955
Was a theoretical physicist
E = mc2
Determine
the degree
of the
following
equations
SLIDESMANIA.COM
Was born in Germany on April 18th. 1955
Was a theoretical physicist
E = mc2
Determine
the degree
of the
following
equations.
SLIDESMANIA.COM
Was born in Germany on April 18th. 1955
Was a theoretical physicist
E = mc2
When is an
equation a
QUADRATIC
Equation?
If the degree of the
equation is 2
From the word “quad”
means square
Example:
SLIDESMANIA.COM
Was born in Germany on April 18th. 1955
Was a theoretical physicist
E = mc2
Quadratic
Equation in
Standard
form
𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 0
where a, b and c are
real numbers
Note: In standard form, a should
be a positive real number
SLIDESMANIA.COM
QUADRATIC EQUATION
ax2 + bx + c = 0
Quadratic
term
Linear
term
Constant
term
SLIDESMANIA.COM
It's a polygon.
Has three sides.
One angle measures more than 90º
Example:
Find a, b, c,
Quadratic term,
Linear term and
Constant term
𝑥2 − 3𝑥 − 4 = 0
a = 1 b = -3 c = -4
Quadratic term: 𝑥2
Linear term: − 3𝑥
Constant term: − 4
SLIDESMANIA.COM
It's a polygon.
Has three sides.
One angle measures more than 90º
Example:
Find a, b, c,
Quadratic term,
Linear term and
Constant term
2𝑥2 + 4𝑥 = 0
a = 2 b = 4 c = 0
Quadratic term: 2x2
Linear term: 4x
Constant term: 0
SLIDESMANIA.COM
It's a polygon.
Has three sides.
One angle measures more than 90º
Example:
Find a, b, c,
Quadratic term,
Linear term and
Constant term
4𝑥2 − 3𝑥 = 2
a = 4 b = -3 c = -2
Quadratic term: 4x2
Linear term: -3x
Constant term: -2
SLIDESMANIA.COM
It's a polygon.
Has three sides.
One angle measures more than 90º
Example:
Find a, b, c,
Quadratic term,
Linear term and
Constant term
2𝑥2 = −8
a = 2 b = 0 c = 8
Quadratic term: 2x2
Linear term: 0
Constant term: 8

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Q1W1L1 ILLUSTRATING QUADRATIC EQUATIONS.pptx

  • 1. SLIDESMANIA.COM ILLUSTRATING QUADRATIC EQUATIONS Grade 9 – Mathematics: Quarter I • GHS●Mathematics Department ● Gr9● aaadjame14.estiola ALLEN M. ESTIOLA Master Teacher I, GUN-OB HS, LLC Division
  • 2. SLIDESMANIA.COM Objectives: 1. Define a quadratic equations 2. Write quadratic equations in standard form ax2 + bx + c = 0 3. Identify the real numbers a, b and c.
  • 3. SLIDESMANIA.COM Was born in Germany on April 18th. 1955 Was a theoretical physicist E = mc2 Determine the degree of the following equations
  • 4. SLIDESMANIA.COM Was born in Germany on April 18th. 1955 Was a theoretical physicist E = mc2 Determine the degree of the following equations.
  • 5. SLIDESMANIA.COM Was born in Germany on April 18th. 1955 Was a theoretical physicist E = mc2 When is an equation a QUADRATIC Equation? If the degree of the equation is 2 From the word “quad” means square Example:
  • 6. SLIDESMANIA.COM Was born in Germany on April 18th. 1955 Was a theoretical physicist E = mc2 Quadratic Equation in Standard form 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 0 where a, b and c are real numbers Note: In standard form, a should be a positive real number
  • 7. SLIDESMANIA.COM QUADRATIC EQUATION ax2 + bx + c = 0 Quadratic term Linear term Constant term
  • 8. SLIDESMANIA.COM It's a polygon. Has three sides. One angle measures more than 90º Example: Find a, b, c, Quadratic term, Linear term and Constant term 𝑥2 − 3𝑥 − 4 = 0 a = 1 b = -3 c = -4 Quadratic term: 𝑥2 Linear term: − 3𝑥 Constant term: − 4
  • 9. SLIDESMANIA.COM It's a polygon. Has three sides. One angle measures more than 90º Example: Find a, b, c, Quadratic term, Linear term and Constant term 2𝑥2 + 4𝑥 = 0 a = 2 b = 4 c = 0 Quadratic term: 2x2 Linear term: 4x Constant term: 0
  • 10. SLIDESMANIA.COM It's a polygon. Has three sides. One angle measures more than 90º Example: Find a, b, c, Quadratic term, Linear term and Constant term 4𝑥2 − 3𝑥 = 2 a = 4 b = -3 c = -2 Quadratic term: 4x2 Linear term: -3x Constant term: -2
  • 11. SLIDESMANIA.COM It's a polygon. Has three sides. One angle measures more than 90º Example: Find a, b, c, Quadratic term, Linear term and Constant term 2𝑥2 = −8 a = 2 b = 0 c = 8 Quadratic term: 2x2 Linear term: 0 Constant term: 8