CO DEMO 2nd qtr 2024.pptx aaannshdhhwnandh

CO

1. Good Day Class

2. Put God first above all P RAYER

3. What is a quadrilateral? What are examples of quadrilateral? What is a parallelogram? REVIEW

4. A quadrilateral is a close plane figure consisting of four line segments or sides. Parallelogram, rectangle, square, rhombus and kite. A parallelogram is a quadrilateral with two pairs of parallel sides.

5. Motivate Me!!! What do you see in the illustration? Can you give significance on their designs? Do you see parts that shows quadrilaterals?

6. Conditions That Make A Quadrilateral A Parallelogram

7. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. 6. 40 cm 6. 40 cm 5 cm 5 cm

8. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. 120º 60º 60º 120º

9. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if both pairs of opposite angles are supplementary. 120º 60º 60º 120º

10. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if the diagonals bisect each other. 2.83 cm 4.12 cm 4.12 cm 2.83 cm

11. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two equal triangles.

12. Conditions That Make A Quadrilateral A Parallelogram A quadrilateral is a parallelogram if one pair of opposite sides are both congruent and parallel. 2.83 cm 4.12 cm 4.12 cm 2.83 cm

13. Conditions That Make A Quadrilateral A Parallelogram 2.83 cm 4.12 cm 4.12 cm 2.83 cm

14. ACTIVITY Which is Which?  Group yourselves into two (boys and girls). Identify whether the following quadrilaterals are parallelogram or not. Put a check mark under the appropriate column and answer the questions that follow. Answer it in a provided sheet. Quadrilateral Figure Parallelogram Not Parallelogram 1. Trapezoid         2. Rectangle         3. Rhombus         4. Square          

15. ACTIVITY Which is Which?  Group yourselves into two (boys and girls). Identify whether the following quadrilaterals are parallelogram or not. Put a check mark under the appropriate column and answer the questions that follow. Answer it in a provided sheet. Quadrilateral Figure Parallelogram Not Parallelogram 1. Trapezoid         2. Rectangle         3. Rhombus         4. Square          

16. ANALYSIS Based on your activity, what makes a quadrilateral a parallelogram?

17. ABSTRACTION If the quadrilateral meets one of the conditions that makes it a parallelogram. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. A quadrilateral is a parallelogram if both pairs of consecutive angles are supplementary. A quadrilateral is a parallelogram if the diagonals bisect each other. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles. A quadrilateral is a parallelogram if one pair of opposite sides are both congruent and parallel.

18. ANALYSIS 2. Which figure is always a parallelogram?

19. ABSTRACTION A rectangular figure is always a parallelogram as it abides all the properties of a parallelogram.

20. ANALYSIS 3. What’s the importance of knowing quadrilaterals that are parallelograms in your daily life?

21. APPLICATION Draw Me! Construct a quadrilateral given the following conditions. 1. Diagonals JL and MK bisect each other. Steps: a. Draw JL, locate its midpoint P. b. Draw another line MK passing through P so that MP≡KP. c. Form the quadrilateral MJKL.

22. EVALUATION Defense! Defense! ½ crosswise   Directions: Study the following parallelograms below then determine what condition that makes a quadrilateral a parallogram.     1. 2. 3. 4.      

23. What are the steps in solving quadratic equation by factoring? ABSTRACTION

24. a) write in standard form. ( ax 2 + bx + c = 0 ) b) find the factors of the left member of equation. c) apply the zero product property. d) solve each resulting equation. e) check the values of the variable obtained by substituting each in the original equation.

25. Direction: In your notebook, determine the roots of the following quadratic equation by factoring. 1.) x 2 + 4x - 12 = 0 2.) x 2 + 8x + 16 = 0 APPLICATION

26. 1.) x 2 + 4x - 12 = 0 ( x + 6 ) ( x - 2 ) = 0 x + 6 = 0 x - 2 =0 x = 0 - 6 x = 0 +2 x = - 6 x = 2 Checking: x 2 + 4x - 12 = 0 -6 2 + 4(-6)-12= 0 36 - 24 - 12 = 0 36 - 36= 0 0 = 0 x 2 + 4x - 12 = 0 2 2 + 4 (2)- 12 = 0 4 + 8 - 12 = 0 12 - 12 = 0 0 = 0 Solution:

27. 2.) x 2 + 8x + 16 = 0 ( x + 4 ) ( x + 4 ) = 0 x + 4 = 0 x + 4 = 0 x = 0 - 4 x = 0 - 4 x = - 4 x = - 4 Checking: x 2 + 8x + 16 = 0 -4 2 +8(-4)+16= 0 16 - 32 + 16 = 0 32 - 32= 0 0 = 0 x 2 + 8x + 16 = 0 -4 2 +8(-4)+16= 0 16 - 32 + 16 = 0 32 - 32= 0 0 = 0 Solution:

28. Quiz. In 1 whole sheet of pad paper, solve for the solution of the given quadratic equation by factoring. 1.) x 2 + x = 12 2.) x 2 + 9x = -8 3.) x 2 + 3x - 28 = 0 4.) x 2 - 7x - 8= 0 5.) x 2 + 2x = -1

29. Solution: 1. ) x 2 + x = 12 x 2 + x - 12 = 0 ( x + 4 ) ( x - 3 ) = 0 x + 4 = 0 x - 3 = 0 x = 0 - 4 x = 0 + 3 x = - 4 x = 3 Checking: x 2 + x = 12 -4 2 +(-4)= 12 16 - 4 = 12 12= 12 0 = 0 x 2 + x = 12 3 2 +(3)= 12 9 + 3 = 12 12 = 12 0 = 0

30. 2.) x 2 + 9x = -8 x 2 + 9x + 8 = 0 ( x + 8 ) ( x + 1 ) = 0 x + 8 =0 x + 1 = 0 x = 0 -8 x = 0 - 1 x = - 8 x = - 1 Checking: x 2 + 9x = - 8 -8 2 + 9(-8)= -8 64 - 72 = - 8 - 8 = - 8 0 = 0 x 2 + 9x = -8 -1 2 + 9(-1)= - 8 1 - 9 = - 8 - 8 = - 8 0 = 0

31. 3. ) x 2 + 3x - 28 = 0 ( x + 7 ) ( x - 4 ) = 0 x + 7 =0 x - 4 = 0 x = 0 - 7 x = 0 + 4 x = - 7 x = 4 Checking: x 2 + 3x - 28= 0 -7 2 +3(-7)-28 = 0 49 - 21-28 = 0 49 - 49 = 0 0 = 0 x 2 + 3x - 28 = 0 4 2 + 3(4)-28= 0 16 + 12 -28 = 0 28 - 28 = 0 0 = 0

32. 4.) x 2 - 7x - 8= 0 ( x - 8 ) ( x + 1 ) = 0 x - 8 = 0 x + 1 = 0 x= 0 + 8 x = 0 - 1 x = 8 x = - 1 Checking: x 2 -7x - 8= 0 8 2 -7(8) -8 = 0 64 - 56 -8 = 0 64 - 64= 0 0 = 0 x 2 -7x - 8 = 0 -1 2 -7(-1) -8= 0 1 + 7 -8 = 0 8 - 8 = 0 0 = 0

33. 5.) x 2 + 2x = -1 x 2 + 2x + 1 = 0 ( x + 1 ) ( x + 1 ) = 0 x +1 = 0 x + 1 = 0 x = 0 - 1 x = 0 - 1 x = - 1 x = - 1 Checking: x 2 + 2x + 1= 0 -1 2 + 2(-1)+1 = 0 1 - 2 + 1 = 0 2 - 2 = 0 0 = 0 x 2 + 2x + 1= 0 -1 2 + 2(-1)+1 = 0 1 - 2 + 1 = 0 2 - 2 = 0 0 = 0

34. Assignment: 1/ 2 crosswise Solve and check for the solution of the given expressions by factoring. 1.) 3x 2 + 13x + 10 = 0 2.) 5x 2 + 36x + 7 = 0 3.) 3x 2 + 4x -7 = 0

35. Thank you Class!!!