Quadratic Equation solved by Square root property

PRIMING ACTIVITY

DEPARTMENT OF EDUCATION

An ANAGRAM is a type of word play, the result of rearranging the letters of a word or phrase to produce a new word or phrase, using all the original letters exactly once.

Example CARTHORSE can be rearranged into ORCHESTRA.


Anagram of the word GRAB LEA

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ALGEBRA

0


Anagram of the word ACID QUART

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QUADRATIC

0


Anagram of the word PEN XEROSIS

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EXPRESSION

0


Anagram of the word ON A QUIET

EQUATION

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Anagram of the word ACTING FOR

FACTORING

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Anagram of the word MELTING COP

COMPLETING

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Anagram of the word FOUL ARM

FORMULA

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Anagram of the word NOTARIAL

RATIONAL

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Anagram of the word UNFIT CON

FUNCTION

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Anagram of the word BEL PROM

PROBLEM

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Anagram of the word I LEARN

LINEAR

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Anagram of the word POLAR BAA

PARABOLA

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Anagram of the word ARMS FRONT

TRANSFORM

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Anagram of the word LEST RITUAL

ILLUSTRATE

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Anagram of the word TEXT ARC

EXTRACT

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Anagram of the word OPEN NEXT

EXPONENT

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Anagram of the word PUT CORD

PRODUCT

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Anagram of the word LAY QUIET

EQUALITY

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Anagram of the word TON CENT

CONTENT

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Anagram of the word PRO SECS

PROCESS

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Anagram of the word DEFICIT FUSIL

DIFFICULTIES

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Anagram of the word REC CORN

CONCERN

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Lesson 1: Illustrations of Quadratic Equations

Lesson 2: Solving Quadratic Equations

Extracting Square Roots Factoring Completing the square Using the Quadratic Formula

Lesson 3 : Nature of Roots of Quadratic Equations

Lesson 4: Sums and Product of the Roots of Quadratic Equations

Lesson 5: Equations Transformable to Quadratic Equations (Including Algebraic Equations)

Lesson 6 : Applications of Quadratic Equations and Rational Algebraic Equations

Lesson 7 : Quadratic Inequalities

1.Choose a leader2.Secretary3.2 Presenters

12 min11 min10 min9 min.8 min7 min6 min5 min4 min3 min2 min1 min1098765432210

1. How did you find the product?

2. In finding each product, what mathematics concepts or principles did you apply? Explain how you applied these mathematics concepts or principles?

3. How would you describe the products obtained?

4. Are the products polynomials? If YES, what common characteristics do these polynomials have?

1. How do you describe Linear equation?

2. How are these equations different from those which are linear?

3. What common characteristics do these equations have?

Activity1: Find My RootsDirections: Find the following square roots.

1.) 16

2. ) – 25

3.) 49

4.) – 64

5.) 121

6.) – 289

7.) 0.16

8.) ± 36

9.) 16 25

10.) ± 169 256

= 4

= –5

= 7

= –8

= 11

= – 17

= 0.4

= ± 6

= 4 5

± 13 = 16

Extracting Square RootsQuadratic equations that can be written in the form x2 = k ca be solve by applying the following properties:

1.) If k > 0, then x2 = k has two real solutions or roots: x = ± k 2.) If k = 0, then x2 = k has one real solutions or root: x = 03.) If k < 0, then x2 = k has no real solutions or roots: Examples:

x2 – 16 = 0x2 = 16x = ± 16x = ± 4

x2 + 10 = 10x2 = 10 – 10x2 = 0x = 0

x2 + 9 = 0x2 = –9no real roots

1.) x2 + 8x – 9

x x

Factors of – 9

9 ; -1-9 ; 1

Sum of factors8

-8

+ 9

– 1

OR x2

-9-x

9xx 9

x

-1( x + 9 ) ( x – 1 )

-3 ; 3

0

2.) 3x2 – x – 10

– 30x2

-30x2

=

factors Sum of factors-30x ; x

30x ; -x-15x ; 2x15x ; -2x-6x ; 5x6x ; -5x

-29x29x-13x13x-x x

3x2 – 6x + 5x – 10 (3x2 – 6x) + (5x – 10)3x(x – 2) + 5(x – 2)

OR

3x2

-105x

-6x

x -2

3x

5

Quadratic Equation solved by Square root property

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