Presentation Module 1 & 2.pdf Quadratic Equations

Quadratic Equations, Grade 9 Math

1. Prepared by: Ms.BabylynClacio Datio

2. Objectives:
•
•
•

7. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. �??????(??????+�)=��
2. ??????
�
+�??????–��=�
3. �(??????–��)=�
4. ��(�–�)=−��
5. (??????–�)(??????+�)=�

8. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. �??????(??????+�)=��Quadratic Equation
2. ??????
�
+�??????–��=�Not Quadratic Equation
3. �(??????–��)=�Not Quadratic Equation
4. ��(�–�)=−��Quadratic Equation
5. (??????–�)(??????+�)=�Quadratic Equation

10. Practice Tasks: (5 minutes)
Quadratic Equation a??????
�
+ b??????+ c = 0abc
Example:
3 + 4�
�
= 15�
4�
�
-15�+ 3 = 0
or-4�
�
+ 15�-3 = 0
4
-4
-15
15
3
-3
1. 6�–2�
�
= 0
2. �??????(??????+�)–��=�

11. Practice Tasks: (5 minutes)
Quadratic Equation a??????
�
+ b??????+ c = 0abc
Example:
3 + 4�
�
= 15�
4�
�
-15�+ 3 = 0
or-4�
�
+ 15�-3 = 0
4
-4
-15
15
3
-3
1. 6�–2�
�
= 0 –2�
�
+ 6�= 0
or 2�
�
-6�= 0
-2
2
6
-6
0
0
2. �??????(??????+�)–��=�3??????
�
+ 15x -12 = 0
or-3??????
�
-15x + 12 = 0
3
-3
15
-15
-12
12

12. Congratulations!
You have completed Module 1.
You are now ready for Module 2.

16. ONE

21. Practice Tasks:
Equation Number of Solutions/Roots
1.??????
�
–��=�
2.�
�
=�
3.�
�
+��=�

22. Practice Tasks:
Equation Number of Solutions/Roots
1.??????
�
–��=� Two Solutions
2.�
�
=� OneSolution
3.�
�
+��=�No Real Roots or Solutions

29. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.�(??????−�)
�
=��
2.�??????
�
=��
3.�
�
−��=�

30. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.�(??????−�)
�
=��??????=4??????�??????=0
2.�??????
�
=��??????=3??????�??????=−3
3.�
�
−��=� �=23??????��=−23

31. Congratulations!
You have completed Module 2.
You are now ready for Module 3.