COT-Math-6-Q3-W8 (1).pptx quarter 8 math 6 lessonplan ready to used for demonstration

math 6 lessonplan

1. MATH 6 Quarter 3-Week 8

2. Find the Surface Area of Cubes, Prisms, Pyramids, Cylinder, Cones, and Spheres

3. Prayer

4. Checking of Attendance Quick Kumustahan

5. H E A R T Have a positive thoughts in learning Ears on me and let’s Explore and you must encourage yourself to do activities. Asking is a sign of learning. Respect others and follow instructions. Time to share your learnings. Remember that I give my HEART to you! Setting Standards:

6. Review Directions: Find the area of the following composite figures. 10 cm 1.) 5 cm 7 1 . 2 . 5m m 5m 5m 10m 8m 8m 3 .

7. Review Directions: Find the area of the following composite figures. 4 . 5 . 8cm 30 cm 2 cm   5 cm 4 cm

8. Look at the pictures. Motivation These are solid figures or spatial figures. Can you identify them?

9. Directions: Study and analyze the problem below. Ramon wanted to surprise her mother on her birthday, so he made a wooden jewelry box for her. Each side of the box measured 2 inches. How many square inches of wood did he use in making the box? Presentation

10. Question: a). What is the shape of the wooden jewelry box made by Ramon? ( It is a cube. ) b). How many square inches of wood did he use in making the box? To find the number of square inches of wood used, solve for the surface area.

11. Discussion What is a Surface Area? Surface Area – is the total area of all the faces of a three-dimensional figure. How do we calculate the Surface Area? To calculate the surface area, we add the areas of all the faces of the three-dimensional figure.

12. A. Surface area of a Cube A cube is a three-dimensional figure with six equal square faces. The surface area of a cube is the sum of the area of the six squares that cover it. The following figures show the surface area of a cube.

13. If s is the length of one of its sides, then the area of one face of the cube is S². Since a cube has six faces , the surface area of a cube is six times the area of one face.

14. Surface area of a cube = 6s² Surface area of the wooden box: SA = 6(2in.) ² = 6 (4in.²) = 24 in.² Therefore, Ramon used 24 square inches of wood in making the box.

15. 1. What kind of child is Ramon? 2. How did he show his love to her mother? 3. Are you also a loving and thoughtful child to your parents? 4. How do you make your parents feel special during important occasions? Valuing

16. B. Surface Area of Prism [Rectangular Prism]   FORMULA: Surface Area=2(length x width)+2(length x height)+2(width x height) o r   SA=2( lw ) + 2( lh ) + 2( wh )

17. Example: Solve for the surface area of the given figure: 2cm 5m 2(2cm x 5cm) 4cm Solution:   SA = 2(4cmx2cm) + 2(4cmx5cm) + 2(2cmx5cm) SA = 2(8cm²) + 2(20cm²) + 2(10cm²) SA = 16cm² + 40cm² + 20cm² SA = 76cm²

18. Surface Area of a Pyramid   Example: Solve for the surface area of this square pyramid. 20cm 10cm 10cm

19. Solution: SA = (Area of the Base) + 4( 𝑏ℎ) SA=10cm x 10cm + 4 ( 10cm x 20cm) SA=100cm² + 4 ( x 200cm² ) SA=100cm² + 4(100cm²) SA=100cm² + 400cm² SA= 500cm²  

20. Surface Area of a Cylinder To solve the surface area of the cylinder, find the lateral area and area of the base. Lateral area = 2πrh Surface Area = lateral area + 2(area of a circular base) or  SA=2πrh + 2πr²

21. Example : Solve for the surface area of the given figure below: 8cm 5cm

22. SA=2 π rh + 2 π r² SA=2 x 3.14 x 4cm x 5cm + 2 x 3.14 x 4cm x 4cm SA=6.28 x 20cm2 + 6.28 x 16cm2 SA=125.6cm² + 100.48cm² SA=226.08 cm² Solution:

23. 4cm 2cm Example: Solve the surface of the cone

24. Example: Solve the surface of the cone Solution:   SA= π rs + πr² SA= 3.14 x 2cm x 4cm + 3.14 x 2cm x 2cm SA= 3.14 x 8cm² + 3.14 x 4cm² SA= 25.12cm² + 12.56cm² SA=37.68cm²

25. Surface Area of a Sphere Surface Area = 4 x area of the circle or SA=4πr²

26. Solution: SA= 4πr² SA = 4(3.14) (3m) (3m) SA = 12.56 x 9m² SA=113.04m² 3m Example :  

27. Group Activity Group Activity Rules Be a HERO. In doing the activity, members must H elp each other. E ncourage yourself to share ideas and follow instructions. R espect each other in the group. O bserve cleanliness, silence and timeliness.  

28. .   Group 1: Find the surface area of each solid figure. 1.) 6m 12m 4m 2.)   5cm 7cm 7cm

29. 4m 3.) 10cm 12cm 4 .)

30. Group 2: Calculate the surface area of the solid figures represented by the following images.

31. Tim is wrapping a present. The box he is using is a rectangular prism with a length of 15 inches, a width of 9 inches, and a height of 4 inches. Find how many square Group 3: Analyze and solve each problem. Write your complete solution and answer on a separate sheet of paper.

32. Group 4 : Direction: Find the surface area of each solid figure.     5cm 1. 2 . 8m 2m 3. 11m 20m 4m 4 .

33. .   Directions: Read and solve. Write your solution with label on your answer sheet. MJ saw a toy plastic ice cream cone while digging a pit of garbage. The slant height of the cone measured 3 cm and its radius is 2cm. Find the needed amount of paint to cover the entire surface of the cone. Independent Practice

34. Directions: Tell whether each statement is TRUE or FALSE . Write your answer on a separate sheet of paper.  ___________1. Surface area is the product of the area of the base and the lateral face. ___________2. It would take exactly four circles to wrap a sphere completely. Application

35. ___________3. The surface area of a cone is the sum of its lateral area and area of its base. ___________4. To calculate the surface area of a cube, just find the area of one face and multiply it by 6. ___________5. The lateral area of a prism is the product of the base and the height. Application

36. .   Generalization How to find the surface areas of cubes, prisms, pyramids, cylinders, cones and spheres. To find the surface area of cubes, prisms, pyramids, cylinders, cones and spheres, you may use the following formula:

37. .   .   .   Solid Figure Formula in Finding the Surface Area Rectangular Prism SA=2( lw )+2( lh )+2( wh ) or SA = 2( lw + lh + wh ) Cube SA= 6 Pyramids SA=Area of the base + A r ea of the lateral faces SA = B + 4( bh ) Solid Figure Formula in Finding the Surface Area Rectangular Prism SA=2( lw )+2( lh )+2( wh ) or SA = 2( lw + lh + wh ) Cube Pyramids

38. .   .   .   Solid Figure Formula in Finding the Surface Area Cylinder SA = 2 π rh + 2 π r² Cone SA = π rs + π r² Sphere SA = 4 π r²

39. .   Evaluation Directions: Find the surface area of each solid figure. Write your answer on your answer sheet. 1.) 10m 4m 2.)   7 cm 5 cm

40. 12m 2m 3.) 21cm 4.) 2m 12m 4m 5.)

41. .   Directions: Read the problem carefully and solve. JM is making a birthday gift for his father’s birthday. The box for the gift he is using is a rectangular prism with a length of 4m, a width of 2m and a height of 3m. How many square meters of paper does he need to wrap the entire box? Assignment

42. .   QUESTIONS:  1. What is asked in the problem? 2. What are the given facts that will help you solve the problem? 3. What is the formula that can be used to solve the problem? 4. What is the number sentence? 5. What is the answer to the problem?