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- 1. A Detailed Lesson Plan in Mathematics VI I. Objectives At the end of the lesson the pupils should be able to; Derive a formula for findings the volume of rectangular prism Find a volume of rectangular prism Write solution in finding volumes of rectangular prisms correctly Work cooperatively to achieve best result II. Subject Matter A. Topic: Volume of Rectangular Prisms B. Skills: Finding volume of rectangular prisms C. References: PELC IV.B1,3 D. Materials: transparent rectangular containers, small cubes, Rubik’s cube, worksheets, pictures of plane figures, paper, ball pen E. Value: Cooperation III. Learning Activities Teacher’s Activity Pupil’s Activity A. Preliminary Activity 1. Prayer Before we start, ______ kindly lead the prayer. 2. Greetings Good morning Class!! “Before you take your seat please pick all the litters and pieces of papers under your chair and arrange your chair properly.” “You may now take your seats.” 3. Checking of Attendance “Class secretary tell the class “Heavenly Father….. Amen.” “Good Morning Teacher.” Thank you Teacher.
- 2. who are absent today?” “So how was your foundation day?” “That’s good!” “Have you enjoyed your foundation day bonding with your team mates?” “That’s good to know. What activities have you done during the foundation day?” “Did you had fun?” “Okay that’s good, I’m glad that you had fun doing those activities. B. Preparatory Activities 1. Opening Songs 2. Mental Computation Drill: Solving For Areas of Plane Figures “Now class before we proceed to our lesson, were going to have a group activity. I’ll divide you into to four groups.” “I will show some pictures of a plane figure with a given dimensions. You will choose to your group mates who will be the first student will solve mentally for the area and write your answer on (secretary reports) “It was great teacher Cecille!” “Of course Teacher! It was a lot of fun!” “We played badminton, chess, volleyball and etc.” “We enjoy playing with my group mates.” “Yes! We had so much fun.”
- 3. the activity sheet that I give to you with the proper label. Then I will show another picture of a plane figure with given dimensions again and again until everyone in the group or column has participated“. “The groups who give with the correct answers and label gets 2pts” “Did you understand grade six?” a. Setting the Standard in Group Activity. “Before we start, what are the standards or rules to follow in conducting a group activity?” Very good! So, you should follow those standards! b. Group Activity c. Checking of Group Activity “Yes Teacher” -cooperate to your group mates. -do not do anything not related to the activity. -try your best to give an answer or an idea. -be responsible 6dm 5dm 10cm 10dm 6dm 8dm 20cm
- 4. 3. Review : Formulas in solving for the Areas of the following: Square, Rectangle, Parallelogram, Trapezoid and Triangle “I have here some picture of shapes with a given dimensions, you will tell to me what is the area of each?” “Do you understand class?” Square triangle parallelogram Rectangle Trapezoid “Yes teacher”
- 5. 4. Motivation “What do you call this object?” “That’s right! It is a Rubik’s cube. A Rubik’s cube is 3 x 3 x 3 cube that can be manipulated so that each face of cube will have the same design.” “Do you know how to play it? How?” “How many small cubes does this Rubik’s cube have?” C. Development Activities 1. Presentation “The number of small cubes that make up Rubik’s cube is 24” “Now class I have here a container.” “What kind of solid figure is the container?” “Now I will put a cube. How many did I put inside the rectangular container?” “It is a Rubik’s cube” “Yes teacher” (pupils may give an estimate or give exact answer) -rectangular prism -4 -3
- 6. ( the teacher fill the container with a small cubes until its upper portion) “How can you find the number of cubes in the container without counting them all?” “How many cubes in all?” “When we get the total number of cubes that the container has, what have we looked for?” “Very good!” “What kind of polygon is the base of the container?” “What is its dimension? “How many cubes fit the length? The width?” “Can you give the volume of the rectangular prism by just using the dimensions (length, width, height? How?” “What is the formula in finding the volume of rectangular prism? “What unit of measurement will -6 -By counting the number in one layer then multiply in to other horizontal layer. -There are 24 cubes “We looked for its volume.” -square -length, width and height -3 -4 “Yes teacher, by multiplying the length, width and height.” -Volume = length x width x height -V= lwh
- 7. you use?” “When you multiply the length and the width, what does it represent?” “So if the area of the base and the height are given, how will you right the formula for the volume of rectangular prism?” “Class the area of the base can be written as B in symbols.” “Did you understand grade six? “What are the two formulas in finding the rectangular prism? 2. Fixing Skills Let us do this in pairs. -centimeter/cm -area of base -V= area of base x height -V=Bh “Yes Teacher” -V=Bh -V= lwh 1. Count the cubic units to find the volume of each. a. V= ___________________ b. c. V=_________________ V= ____________________ 2. Find each missing number? A. l = 3.5m B. l= 9 dm C. V= 375 cu m D.V= 1232 cm3 w = 3.3m w= 8.6 dm l= 31m l = 11cm h = 4 m h= 5 dm w= ______ w= 8cm V= ____ V= ______ h= 3m h= _____
- 8. IV. Evaluation A. Complete the table. Find the volume of the following. Length Width Height Volume 1. 9 dm 8.6 dm 5 dm 2. 1.4 m 1.5 m 1.8 m 3. 40 cm 15 m 24 cm 4. 18.5 cm 9.4 cm 15 cm 5. 5 ¾ m 4 ½ m 7 2/3 m B. Read and analyze and solve. 1. The volume of a cube is 343 cm3. What is the length of the edge? 2. A wooden block below has a volume of 600cm3. Bert sawed 2 pieces of wood out of the block. Find the volume of the block that was left. 3. Generalization How do you solve for the volume of rectangular prism? What is the formula used? Very good! D. Application -by multiplying length x width x height -V=lwh -V=Bh Draw the indicate figure and solve the problem. 1. A Sewing box is 12 cm by 9 cm by 6 cm. what is its volume? 2. How many cubic meters of soil has to be removed for the for the foundations of a building 52 m long and 35 m wide if the hole is to be 1.5 m deep? 3. How many jewelry boxes 10 cm by 6 cm by 4 cm can be packed into a box 50dm long, 4 dm wide and 3 dm high?
- 9. V. Assignment Complete the table. Length 15cm 8.2 dm 5 ½ m 2.3 m Width 9 cm 4.7 dm 2 ¼ m 6 m Height 7 cm 2.6 dm 4 ¾ m 9 m 2.6 m Volume 756 m 3 17. 94 m3 Prepared by: Cecille Maye T. Sagmon BEED 4a

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