Lesson 1 Grade 9 k to 12

2. 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.

3. DEPARTMENT OF EDUCATION
Anagram of the word GRAB LEA
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ALGEBRA
0

4. DEPARTMENT OF EDUCATION
Anagram of the word ACID QUART
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QUADRATIC
0

5. DEPARTMENT OF EDUCATION
Anagram of the word PEN XEROSIS
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EXPRESSION
0

6. DEPARTMENT OF EDUCATION
Anagram of the word ON A QUIET
EQUATION
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7. DEPARTMENT OF EDUCATION
Anagram of the word ACTING FOR
FACTORING
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8. DEPARTMENT OF EDUCATION
Anagram of the word MELTING COP
COMPLETING
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9. DEPARTMENT OF EDUCATION
Anagram of the word FOUL ARM
FORMULA
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10. DEPARTMENT OF EDUCATION
Anagram of the word NOTARIAL
RATIONAL
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11. DEPARTMENT OF EDUCATION
Anagram of the word UNFIT CON
FUNCTION
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12. DEPARTMENT OF EDUCATION
Anagram of the word BEL PROM
PROBLEM
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13. DEPARTMENT OF EDUCATION
Anagram of the word I LEARN
LINEAR
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14. DEPARTMENT OF EDUCATION
Anagram of the word POLAR BAA
PARABOLA
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15. DEPARTMENT OF EDUCATION
Anagram of the word ARMS FRONT
TRANSFORM
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16. DEPARTMENT OF EDUCATION
Anagram of the word LEST RITUAL
ILLUSTRATE
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17. DEPARTMENT OF EDUCATION
Anagram of the word TEXT ARC
EXTRACT
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18. DEPARTMENT OF EDUCATION
Anagram of the word OPEN NEXT
EXPONENT
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19. DEPARTMENT OF EDUCATION
Anagram of the word PUT CORD
PRODUCT
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20. DEPARTMENT OF EDUCATION
Anagram of the word LAY QUIET
EQUALITY
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21. DEPARTMENT OF EDUCATION
Anagram of the word TON CENT
CONTENT
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22. DEPARTMENT OF EDUCATION
Anagram of the word PRO SECS
PROCESS
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23. DEPARTMENT OF EDUCATION
Anagram of the word DEFICIT FUSIL
DIFFICULTIES
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24. DEPARTMENT OF EDUCATION
Anagram of the word REC CORN
CONCERN
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25. Lessons
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

26. 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

27. 1.Choose a leader
2.Secretary
3.2 Presenters
12 min11 min10 min9 min.8 min7 min6 min5 min4 min3 min2 min1 min1098765432210

28. 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?

30. 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?

31. Activity1: Find My Roots
Directions: 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

32. Extracting Square Roots
Quadratic 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 =
± k2.) 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 = 0
x2 = 16
x = ± 16
x = ± 4
x2 + 10 =
10
x2 = 10 –
10
x2 = 0
x2 + 9 = 0
x2 = –9
no real
roots

33. Factoring
How do you factor the following?:
1.) x2 + 8x –
9
x x
Factors of – 9
9 ; -1
-9 ; 1
Sum of
factors8
-8
+
9
– 1
OR x2
-9-x
9x
x 9
x
-1
( x + 9 ) ( x – 1 )
-3 ;
3
0

34. 2.) 3x2 – x –
10
– 30x2
-
30x2
=
factors Sum of
factors-30x ; x
30x ; -x
-15x ; 2x
15x ; -2x
-6x ; 5x
6x ; -5x
-29x
29x
-13x
13x
-x
x
3x2 – 6x + 5x –
10
(3x2 – 6x) + (5x –
10)
3x(x – 2) + 5(x –
2)
O
R
3x
2
-105x
-6x
x -2
3x
5