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PEL Learning Resource Material Mathematics G5 1


WEEK 1 4 Lesson 1: Finding the Area of a Given Circle………….…………..…………..... 8 Lesson 2: Solving Routine and Non-Routine Problems Involving the Area of a Circle……………………..………. WEEK 2 12 Lesson 1: Visualizing the Volume of a Cube and 16 Rectangular prism……………………………………………………… 20 Lesson 2: Naming the Appropriate Unit of Measure Used for Measuring the Volume of a Cube and a Rectangle prism…………………………………………. Lesson 3: Converting Cu. cm to Cu. m and Vice Versa; Cu.cm to L and Vice versa……………………………………………. WEEK 3 24 28 Lesson 1: Finding the Volume of a Given Cube and Rectangular Prism using Cu. cm and Cu. M………………………… Lesson 2: Estimating and Using Appropriate Units of Measure for Volume………………………………………….. WEEK 4 31 Lesson 1: Solving Routine and Non-Routine Problems Involving Volume of a Cube and Rectangular Prism In Real-Life Situations Using Appropriate Strategies and Tools…………………………………………………... WEEK 5 35 39 Lesson 1: Reading and Measuring Temperature Using Thermometer in Degree Celsius……………………………………… Lesson 2: Solving Routine and Non-Routine Problems Involving Temperature in Real-Life Situations……………………… WEEK 6 43 46 Lesson 1: Organizing Data in Tabular Form and Presenting Them in a Line Graph……………………………………. Lesson 2: Interpreting Data Presented in Different kinds of Line Graphs ……………………………………….. WEEK 7 50 56 Lesson 1: Solving Routine and Non-Routine Problems Using Data Presented in a Line Graph………………………………. Lesson 2: Draws Inferences Based on Data Presented in a Line Graph………………………………………………………… PEL Learning Resource Material Mathematics G5 2


WEEK 8 61 Lesson 1: Describing Experimental Probability…………………………………. 65 Lesson 2: Performing an Experimental Probability and Recording Result by Listing…………………………………………… WEEK 9 68 71 Lesson 1: Analyzing Data Obtained From Chance Using Experiments Involving Letter cards (A to Z) and Number Cards (0 to 20)……………………………………………….. Lesson 2: Solving Routine and Non-Routine Problems Involving Experimental Probability…………………………………… REFERENCES……………………………………………………………………… 75 KEY TO CORRECTIONS…………………………………………………………. 76 PEL Learning Resource Material Mathematics G5 3


LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 5 AREA OF A CIRCLE (Q4W1L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ What is the Area of a Circle? The area of the circle is the measure of the space or region enclosed inside the circle. In simple words, the area of a circle is the total number of square units inside that circle. For example, if you draw squares of dimensions 1cm by 1cm inside a circle. Then, the total number of full squares located inside the circle represents the area of the circle. We can measure the area of a circle in cm2, m2, km2, in2, mm2, etc. Formula for the Area of a Circle The area of a circle can be calculated using a formula which is: Area of a Circle = πr2 square units Area of a circle when the radius is given Given the radius of a circle, the formula for calculating the area of a circle states that: Area of a Circle = πr2 square units A = πr2 square units Where A = the area of a circle. pi (π) = 22/7 or 3.14 and r = the radius of a circle. Let’s get a better understanding of this formula by working out a few example problems. Example Find the area of a circle whose radius is 28 cm. PEL Learning Resource Material Mathematics G5 4


Solution A = πr2 square units By substitution, A = πr2 = 3.14 x 152 = (3.14 x 28 x 28) cm2 = 2 461.76 cm2 So, the area of the circle is 2 461.76 cm2 Area of a circle when the diameter is given When the diameter of a circle is known, compute for the radius first by dividing the diameter by two and then follow the formula. Example Find the area of a circle with a diameter of 50 inches. Solution Since the diameter of the circle is 50cm it means that the radius is equal to 25cm, considering that radius is a half of the diameter. Applying the first formula we will have: A = πr2 = 3.14 x 252 = (3.14 x 25 x 25) cm2 = 1 962.5 cm2 So the area of the circle with a diameter of 50cm is 1 962.5 cm2. Learning Competency Finds the area of a given circle. (MSME-Iva-74) PEL Learning Resource Material Mathematics G5 5


\\ Directions: Calculate the area, given each radius and diameter. Use π=3.14. Write the letter of the correct answer on the space provided. _____1. r = 12 cm a. 452. 39 cm2 b. 1809.56 cm2 c. 113.1 cm2 _____2. r = 15 m a.176.71 m2 b. 706.86 m2 c. 2872.43 m2 _____3. r = 4 in a. 50.27 in2 b. 201. 06 in2 c. 804.25 in2 _____4. d = 100 ft a. 1963.5 ft2 b. 7853.98 ft2 c. 31 415.93 ft2 _____5. d = 20 mm a. 1246.64 mm2 b. 5026.55 mm2 c. 314.16 mm2 Directions: Find the area of the circle given its diameter/radius. Show your solution. Use π=3.14 1. 16 cm A= 2. A= 11 m 3. A= 22mm PEL Learning Resource Material Mathematics G5 6


4. A= A= 60 in 5. 45 ft Direction: Complete the following table for each circle. No. Radius Diameter Area 1 13 in 2 60 ft 3 48 mm 4 15 cm 5 25 m I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 7


LEARNING ACTIVITY SHEET LESSON 2 MATHEMATICS 5 SOLVING ROUTINE AND NON-ROUTINE PROBLEMS INVOLVING THE AREA OF A CIRCLE (Q4W1L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Problem solving is the process of identifying a problem and developing possible solution through a step-by-step process to arrive on the answer. Can you solve problems involving area of a circle? Let us try this example: Le Maison de Yelo Lane’s Pizza measures 12 inches in diameter, how many square inches of wax paper will be used to cover the pizza? Follow the four-step plan to solve the problem. 1. Understand the problem Amount of wax paper needed to cover the What is asked? pizza. What are the given facts? d = 12 inches 2. Plan to solve the problem What process will be used? A= π r2 (Multiplication) What is the mathematical sentence? A= 3.24 x 6 x 6 3. Solve PEL Learning Resource Material Mathematics G5 8


Perform the operation/strategy A = π r2 = (3.14 x 6 x 6) in2 = 113.10 in2 4. Give the correct answer with label 113.10 in2 of wax paper Learning Competency Solve Routine and Non-Routine Problems Involving the Area of a Circle. (MSME-IVb-75) Read the word problem below and then answer the questions that follow. Write the letter of the correct answer. Mrs. Dator asked her pupil to water the flagpole’s circular garden whose diameter is 8m. What is the area of the garden? ____1. What is asked in the problem? a. Mrs. Dator b. circular garden c. Area of the Garden ____2. What are the given facts? a. Area b. 8m c. diameter ____3. What is the radius of the garden? a. 4m b. 8m c. 16m ____ 4. What is the mathematical sentence? A= 3.14 x 4m x 4m b. A= 3.14 x 8m x 8m c. A= A = π r2 ____5. What is the area of the garden? c. 804.25 m2 a. 50. 27m2 b. 201.06 m2 PEL Learning Resource Material Mathematics G5 9


Direction: Solve these problems. 1. Jane bought a circular carpet in Collars and Strap whose radius is 20 dm. If she placed it in her living room, how much was the area covered by the carpet? a. What is asked in the problem? _____________________________________________________________ b. What are the given facts? _____________________________________________________________ c. What formula will you use? _____________________________________________________________ d. Write the number sentence. ______________________________________________________________ e. Write the correct answer with label. ______________________________________________________________ Directions: Read and solve the following word problem. Show your solution and encircle your final answer. 1. A cassava cake has a radius of 6in. Find the area of the cassava cake. 2. What is the area of the plate if it has a radius of 14cm? 3. A can has a radius of 2 inches. What is the area of its base? 4. Find the area of the mirror with a diameter of 30cm. 5. The diameter of a circular lagoon is 40 m. Find its area. PEL Learning Resource Material Mathematics G5 10


I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 11


LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 5 VISUALIZING THE VOLUME OF A CUBE AND RECTANGULAR PRISM (Q4W2L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Volume is the amount of space enclosed in a figure. Two solids below were filled with sand. You want to find out the capacity of each box. Which do you think occupy more space? What will you use? What do you think we are looking for? Figure 1 Figure 2 In order for us to know which one occupies more space we need to do some measurements. They occupy equal space if they have the same volume. To measure volume, we use cubic units. Volume of a cube The space taken up by this cube is 27 – 1cm cubes. The volume of this cube is 27 cm3 . PEL Learning Resource Material Mathematics G5 12


Volume of rectangular solid Take a look at the rectangular solid below, It is made up of unit cubes which are 1cm cubes. Each cubes occupies 1cm3 space. The volume of rectangular solid at the left is 10 cubic centimeter or V= 10cm3 Learning Competency Visualize the volume of cube and rectangle prism. (M5ME-IVc-77) Multiple Choice. Direction: Write the letter of the correct answer on the blank before each number. _____ 1. The space taken up by this solid is ______ . A. 12 cm3 B. 14 cm3 C. 18 cm3 D. 20 cm3 _____ 2. The volume of this rectangular solid is _______ . A. 72cm3 B. 54cm3 C. 36cm3 D. 18cm3 _____ 3. This rectangular solid has a volume of ___________. C. 3cm3 A. 1cm3 D. 4cm3 B . 2cm3 13 PEL Learning Resource Material Mathematics G5


_____ 4. This rectangular solid has a volume of __________. C. 12 cm3 A. 4cm3 D. 2cm3 B. 8 12 cm3 _____ 5. The volume of this cube is _____________ A. 3cm3 C. 2cm3 B. 1cm3 D. 4cm3 Direction: Find the volume of each solid by counting the number of cubic units. 1. Volume = ___________________________ 2. Volume = _____________________________ 3. Volume = ___________________________ 4. Volume = ___________________________ 14 PEL Learning Resource Material Mathematics G5


5. Volume = ___________________________ Direction: Find the volume of these solids 3. 1 2. 4. 5. I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 15


LEARNING ACTIVITY SHEET MATHEMATICS 5 LESSON 2 Naming the Appropriate Unit of Measure Used for Measuring the Volume of a Cube and a Rectangular Prism (Q4W2L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ We learned from our previous lesson that the capacity or weight of things inside a three dimensional solid is called volume. Volume is measured interms of cubic units such as mm3, cm3, dm3, m3, km3 Remember also that: 1cm3 or 1 000mm3 = 1mL 1 dm3 or 1 000cm3 = 1 Liter 1m3 or 1 000d3 = 1 Kiloliter Is it important to use the appropriate unit of measure for measuring things? Why? Let’s try to name the appropriate unit of measure to measure the volume of the following: cm3 or m3 cm3 or m3 PEL Learning Resource Material Mathematics G5 16


cm3 or m3 cm3 or m3 The volume of a truck of sand is measured in cubic meter or m3 dm3 or mm3 The volume of a wall cabinet is measured in cubic decimeters or dm3 Learning Competency Names the appropriate unit of measure use for measuring the volume of a cube and rectangle prism. (M5ME-IVc-78) Direction: Give the best unit in measuring the volume of the following? Select from mm3, cm3 , dm3, m3 1. container van = ______________________________ PEL Learning Resource Material Mathematics G5 17


2. Soap packed in a box = ____________________________ 3. box of tea = ______________________________ 4. Match box = _______________________________ 5. small aquarium = _________________________ Direction: Encircle the letter of the appropriate unit of measure to be uses in measuring the volume of the following: 1. Large volume of water in tanks or swimming pool. A. dm3 B. m3 C. mm3 D. cm3 D. m3 2. matchbox D. mm3 A. mm3 B. dm3 C. cm3 3. bar of soap A. dm3 B. cm3 C. m3 PEL Learning Resource Material Mathematics G5 18


4. sand loaded in a big truck A. m3 B. cm3 C. mm3 D. dm3 C. cm3 D. dm3 5. sewing box A. m3 B. mm3 Direction: Give the best unit for measuring the volume of the following (mL or L ) 1. a bottle of vinegar = ______________________________ 2. teaspoon of syrup = ______________________________ 3. big bottle of softdrinks = ______________________________ 4. a bottle of cologne = _______________________________ 5. basin of water = _______________________________ I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 19


LEARNING ACTIVITY SHEET MATHEMATICS 5 CONVERTING CU.CM TO CU. M LESSON 3 AND VICE-VERSA: CU.CM TO L AND VICE- VERSA (Q4W2L3) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Can you convert one cubic unit of measure to a larger or smaller unit? How? Units of volume can be changed from one unit to another using the metric converter. A. Volume of solids is measured in cubic units such as mm3, cm3,m3,km3 1 cm3 = 1 000mm3 1 dm3 = 1 000cm3 1 m3 = 1 000 dm3 1 dam3 = 1 000m3 1 hm3 = 1 000 dam3 1 km3 = 1 000 hm3 1 000 1 000 1 000 1 000 1 000 1 000 mm3 cm3 dm3 m3 dam3 hm3 km3 1 000 1 000 1 000 1 000 1 000 1 000 When we convert metric unit of volume , smaller to bigger unit, we divide by 1 000 and when it is from bigger unit to smaller unit, we multiply by 1 000 Example 1: 20 400 cm3 = ______ mm3 Since 1cm3 = 1 000 mm3 and cm is bigger than mm, we multiply it by 1 000 40 cm3 x 1 000 = 40 000 mm3 PEL Learning Resource Material Mathematics G5


Example 2: 630 cm3 = _____ dm3 Since dm3 = 1 000 cm3, we divide it by 1 000 630 cm3 - 1 000 = 0.63 dm3 B. Volume is the number of cubic units that fits inside a space figure. Liter is the basic unit of liquid capacity 10 10 10 10 10 10 mL cL dL L daL hL kL 10 10 10 10 10 10 Example 1 : 1.5 L = _____ mL 1 L = 1 000 mL, so we multiply 1 by 1 000 1.5 L x 1 000 = 1 500 mL Example 2: 5 000mL = ________ L , so we divide 5 000 by 1 000 5 000 mL / 1 000 = 5L Learning Competency Converts cu.cm to cu .m and vice-versa; cu.cm to L and vice-versa (M5ME-IVd-80) Direction: Write the letter of the correct answer. 1.) 2 m3 = _____ cm3 A. 2 B. 20 C. 200 D. 2 000 21 PEL Learning Resource Material Mathematics G5


2.) 40 cm3 = ____ mm3 A. 40 000 B. 4 000 C. 400 D. 40 C. 0.67 D. 0.067 3.) 670dm3 = _____ cm3 C. 0.45 D. 0.045 C. 2 D. 2 000 A. 67 B. 6.7 4.) 4 500 cm3 = ____ m3 A. 45 B. 4.5 5.) 2 000 mm3 = _____ cm3 A. 20 B. 200 Direction: Change the following units as indicated. 1.) 5 L = _____ mL 4.) 2 000 mL = ________ L 2.) 22 L = _____ mL 5.) 450 mL = _______ L 3.) 2.5 L = ______ mL Direction: Convert the following: 22 1.) 8 900 mL to L = _________________________ 2.) 22 L to mL = ______________________________ 3.) 700cm3 to mm3 = ______________________________ PEL Learning Resource Material Mathematics G5


4.) 900 cm3 to m3 = ________________________ 5.) 25m3 to cm3 = _____________________________ I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 23


LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 5 Volume of a Cube and Rectangular Prism (Q4W3L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Volume is the number of cubic units needed to fill the shape. It I the amount of space that is occupied by a space figure. Volume is three-dimensional (3D), composed of the area of the base (length x width) times the height. That is why it is always in cubic units ( cm3, m3 ) Example 1: Volume of a Cube A cube is a solid figure that is three - dimensional. Since all the faces of the cube are squares, then the length, width, and height are all equal. The side of the squares are called edges and symbolized by s. We use the formula: V = s x s x s or V = s3 V=sxsxs V = s3 6cm = 6 cm x 6 cm x 6cm = 6cm3 V = 216 cm3 V = 216 cm3 Example 2: Volume of a Rectangular Prism A rectangular prism has a length , width and height, the base is always a rectangle. Therefore, the area of the base is always the product of its length and width. We use the formula: V = l x w x h PEL Learning Resource Material Mathematics G5 24


5m V=lxwxh 3m = 12 m x 3 m x 5 m V = 180 m3 12 m Example 3: A box of Hard Copy bond paper measures 30cm length, 21cm width and 22cm height. What is the volume of the box? V = 30 cm x 21 cm x 22 cm = 630 cm x 22 cm V = 13,860 cm3 volume of the box Learning Competency Finds the volume of a given cube and rectangular prism using cu. cm and cu. m. ( M5ME – IVd – 81) \\ 2. Direction: Find the volume of the following figures. 1. 12cm 7cm 7cm 8m 13cm 6cm 3. 22cm 4. 5. 12 m 28cm 9cm PEL Learning Resource Material Mathematics G5 15cm 25


Direction: Find the volume of each cube and rectangular prism. 1. s = 4.5 m V = ___________ 2. l = 12cm w = 6cm h = 9cm V = ___________ 3. l = 17.5cm w =15cm h =12cm V = ___________ 4. s = 14m V = ___________ 5. l = 19cm w = 7cm h =11cm V = ___________ Direction: Encircle the letter of the correct answer. 1. Which formula represents the volume of a rectangular prism with length (l), width (w) and height (h)? A. V = (l +w)h C. V = l x w x h B. V= (l x w x h)2 D. V= (l x w ) + (w x h) + (h x l ) 2. What is the formula in finding the volume of a cube? A. V = A x h C. V = (b x h)3 B. V= s x s x s D. V = l x w x h 3. Find the volume of rectangular prism with the length 12 cm, with 5 cm and height of 6 cm. A. 360 cm3 B. 306 cm3 C. 316 cm3 D. 350 cm3 4. Grade V classroom is 14 m long, 9 m wide and 12 m high. How many cubic meters of space is in the classroom? A. 1 450 m3 B. 1 512 m3 C. 1 624 m3 D.1 548 m3 5. What is volume of a cube with a side of 13 cm. A. 2 197 cm3 B. 2 114 cm3 C. 2 426 cm3 D. 2 018 cm3 PEL Learning Resource Material Mathematics G5 26


I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 27


LEARNING ACTIVITY SHEET MATHEMATICS 5 LESSON 2 ESTIMATING AND USING APPROPRIATE UNITS FOR MEASURING VOLUME (Q4W3L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Volume is measured by the number of cubic units the object contained. The volume of a cm cube is 1 cubic cm or 1 cm3. The cubic millimeter ( mm3 ) is used to measure small volume while cubic meter ( m3 ) is used to measure large volumes. Other units of measure which are related to units of volume are: 1 L = 1 dm3 1 L = 1 000 cm3 1 ml = 1 cm3 Example 1: What unit is of measure is used to find out the amount of liquid inside the bottle? liter ( l ) or milliliter ( ml ) liter PEL Learning Resource Material Mathematics G5 28


Example 2: What unit is of measure is used to find out the amount of space inside the balikbayan box? cubic decimeter ( cm3 ) or cubic decimeter ( dm3 ) cubic decimeter ( dm3 ) Learning Competency Estimates and uses appropriate units for measuring volumes ( M5ME – IVd – 82) \\ Directions: Identify the unit of measure to find the volume of the following figure. Use cm3 or dm3 1. ____________ 2. ____________ 3. ____________ 4. ____________ 5. ____________ PEL Learning Resource Material Mathematics G5 29


Directions: Estimate the best unit of measure for the capacity of the following. Use mL or L. _______ 1. a plastic water drum container _______ 2. a bottle of cough syrup _______ 3. a box of Toblerone _______ 4. a classroom _______ 5. a die Directions: Write the appropriate unit of measurement (ml, cm3, dm3, m3 ) to find the volume of the following: _______ 1. amount of water in the swimming pool _______ 2. a pail of water _______ 3. a dvd player _______ 4. a water bottle _______ 5. a kitchen cabinet I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 30


LEARNING ACTIVITY SHEET MATHEMATICS 5 SOLVING ROUTINE AND LESSON 1 NON – ROUTINE PROBLEMS INVOLVING VOLUME OF A CUBE AND RECTANGULAR PRISM IN REAL-LIFE SITUATIONS USING APPROPRIATE STRATEGIES AND TOOLS (Q4W3L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ To solve word problems involving volume, read and analyze the problem carefully. Use the correct formula for the given solid figure. Example 1: Routine Problem Faye bought a gift for her Mother’s birthday and wrap it in a gift box having a length of 15 centimeters, a width of 6 centimeters and a height of 9 centimeters. What is the volume of the gift box? Follow the four-step plan to solve the problem 1. Understand the problem Volume of the gift box What is asked? 15cm length, 6cm width, 9cm height What are the given facts? Multiplication 2. Plan to solve the problem 15 x 6 x 9 = N What process will be used? What is the mathematical sentence? 3. Solve PEL Learning Resource Material Mathematics G5 31


Perform the operation/strategy V=lxwxh = 15 x 6 x 9 4. Check Verify if the solution is correct V = 810 cm3 volume of the gift box 15 x6 90 x9 810 cm3 Example 2: Non – Routine Problem How many cubic meters of air can a school canteen contain if the length of each edge is 7.4 meters? V = e3 / s3 =sxsxs = 7.4 x 7.4 x 7.4 V = 405.224 m3 volume of air in a school canteen Learning Competency Solves routine and non – routine problems involving volume of a cube and rectangular prism in real-life situations using appropriate strategies and tools ( M5ME – IVe – 83 ) \\ Directions: Read and analyze the problem then answer the questions that follow. A box of milk is 12 centimeters long, 7.2 centimeters wide and 18 centimeters high. Find its volume. 1. What is asked? __________________________________________________________ PEL Learning Resource Material Mathematics G5 32


2. What are the given facts? __________________________________________________ 3. What operation will be used? ________________________________________________ 4. What is the mathematical sentence? __________________________________________ 5. What is the correct answer? ________________________________________________ Directions: Read and analyze the problem then answer the questions that follow. A small banana cake box is in the shape of a cube. It measures 9 centimeters in each side. What is the volume of the box? 1. What is asked? __________________________________________________________ 2. What are the given facts? __________________________________________________ 3. What operation will be used? ________________________________________________ 4. What is the mathematical sentence? __________________________________________ 5. What is the correct answer? ________________________________________________ Directions: Read each item carefully. Write the letter of the correct answer on the blank before each number. _______ 1. What is the volume of a chalk box whose one side measures 15 cm long? A. 3 375 cu.cm. B. 3 025 cu.cm. C. 3 215 cu.cm. D. 3 145 cu.cm. _______ 2. A box of hot cake mix is a rectangular prism. Its length is 14 cm, width is 4.5 cm and height is 21 cm. Find the volume of the box. A. 1 332 cu.cm. B. 1 426 cu.cm. C. 1 240 cu.cm. D. 1 323 cu.cm. _______ 3. PEL Covered Court is 32 m by 23 m by 21.2 m. How many cubic meters of PEL Learning Resource Material Mathematics G5 33


space did the place have? C. 15 603.2 m3 D. 15 603.2 m3 A. 15 603.2 m3 B. 15 603.2 m3 _______ 4. Swimming pool at Batis Aramin has a length of 26.25 m, width of 13 m and depth of 6 m. How many cubic meters of water will it take to fill the pool? A. 2 047.5 m3 B. 2 200.05 m3 C. 2 010 m3 D. 2 125 m3 _______ 5. A box of cupcakes measure 12 centimeters by 6 centimeters by 4 centimeters. What is the volume of the box? A. 292 m3 B. 274 cm3 C. 288 cm3 D. 268 cm3 I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 34


LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 5 READING AND MEASURING TEMPERATURE USING THERMOMETER (Q4W5L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Do you have the same thermometer as the illustration at the right? This thermometer uses mercury which is very dangerous to one’s health. If you ever experience breaking this kind of thermometer be sure not to touch the mercury and dispose it properly. Temperature is the hotness or coldness of an object. It is expressed in “degrees Celsius” (o C) The instrument used in measuring temperature is the thermometer. Now, look at the temperature reading at the right. What is the temperature reading? How do we read a thermometer? The space between 2 numbers separates 10 degrees. Each number represents the number of degrees. Read the number where the upper level of the mercury rests. This represents the temperature of materials or objects. Since the top of the red bar is pointing between 70 and 60 so the temperature is 65 oC. Let us have some examples. 50 oC 21 oC 88 oC PEL Learning Resource Material Mathematics G5 35


Learning Competency Reads and measures temperature using thermometer (alcohol and/or digital) in degree Celsius. (M5ME-IVf-85) \\ Direction: Record the given temperature in degrees Celsius. 1. 4. 2. 5. 3. PEL Learning Resource Material Mathematics G5 36


Direction: Shade the thermometer based on the indicated temperature. 1. 45 oC 2. 68 oC 3. 92 oC 4. 50 oC 5. 23 oC Use a thermometer to determine the temperature of the following: 1. Vinegar __________ 2. Newly cooked rice __________ 3. Water with ice __________ 4. Room temperature __________ 5. Your armpit __________ PEL Learning Resource Material Mathematics G5 37


I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 38


LEARNING ACTIVITY SHEET MATHEMATICS 5 SOLVING ROUTINE AND LESSON 2 NON-ROUTINE PROBLEMS INVOLVING TEMPERATURE IN REAL-LIFE SITUATIONS. (Q4W5L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Solving Problems involving temperature requires understanding the problem, planning what to do and carrying out your plan and most importantly is to label your answer with oC However, you must be familiar with some of these basic temperatures reading to help you in solving some problems. You also need to remember that the temperature becomes higher when it becomes hotter and goes than when colder. Boiling water Temperature Nomal Body 100oC Hot day 37 oC Room temperature 30 oC Freezing water 20 oC 0 oC Let us have this example. The temperature in Lucban, Quezon is 19 oC in the morning and became 27 oC at noon. How many degrees did it rise? PEL Learning Resource Material Mathematics G5 39


Following the four-step plan to solve the problem. 1. Understand the problem What is asked? The number of degrees it rose from morning to afternoon. What are the given facts? 19 oC and 27 oC 2. Plan to solve the problem What process will be used? Subtraction What is the mathematical sentence? 27 oC - 19 oC = N 3. Solve Perform the operation/strategy 27 oC - 19 oC 8 oC increase in temperature at noon 4. Check Verify if the solution is correct 19 oC +8 oC 27 oC Let’s try solve this problem. Andrea is not feeling well after eating Halo-halo. Her mother get a thermometer and found out that her temperature is 38.5 oC. How much higher is the temperature of Andrea than the normal body temperature? From the table, the normal body temperature is 37 oC . We need to subtract this from the present temperature reading. 38.5 oC - 37 oC 1.5 oC The temperature of Andrea 1.5 oC higher than the normal body temperature. PEL Learning Resource Material Mathematics G5 40


Learning Competency Solves routine and non-routine problems involving temperature in real-life situations. (M5ME-IVf-87) Directions: Read, analyze and solve. 1. If Lucban’s temperature is 27 oC while in Lucena is 36 oC, how cooler is the temperature of Lucban than Lucena? a. Asked: _______________________________________________________ b. Given: _______________________________________________________ c. Operation: _____________________________________________________ d. Number Sentence: ______________________________________________ e. Answer: ______________________________________________________ Directions: Solve the following problems. 1. A coffee with a temperature of 75 oC becomes colder by 15 oC after 5 minutes. What is the new temperature of the coffee? 2. The temperature in the afternoon was decreased by 7 oC at night. If the temperature in the afternoon is 29 oC, what is the temperature at night? 3. The water in the pot is 23 oC. What was the increase in temperature when the water boils? 4. An ice cream has a temperature of 3 oC, after leaving under the sun it becomes 14 oC, what was the decrease in temperature? 5. John made a dessert. Before putting in the freezer, its temperature is 18 oC, then after 3 hours, it dropped to 3 oC, what was the decrease in temperature? PEL Learning Resource Material Mathematics G5 41


Directions: Read and study the table and then answer the questions that follow. The temperature in Lucban, Quezon from Monday to Friday are as follows. Day Temperature 18 oC Monday 24 oC Tuesday 29 oC Wednesday 23 oC Thursday 21 oC Friday a. On what day is the hottest? ________________________ b. On what day is the coolest? ________________________ c. How hotter is Thursday than Monday? ________________________ d. Which days has a difference of 6 oC? ________________________ e. What is the average temperature in Lucban for 5 days? _______________________ I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 42


LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 5 ORGANIZING DATA IN TABULAR FORM AND PRESENTING IT IN A LINE GRAPH (Q4W6L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Everyday we deal with different information wherein the data presented were mostly in numerical form. Probably, this data can be easily well understood if we presented them in the form of graph rather than in describing them in words. We can use different kinds of graphs like bar graph, pictograph, pie graph or line graph to present the data. Mr. Stephen Estrada, maker of famous Lucban chicken langgonisa recorded his deliveries of chicken langgonisa for a period of five days. Below is his recorded deliveries: Day Langgonisa in dozen Monday 35 dozen Tuesday 20 dozen Wednesday 50 dozen Thursday 15 dozen Friday 65 dozen Now, let us find out if his deliveries is increasing or decreasing. Let us present the data using a line graph. To construct a line graph, let us follow the following steps: 1. Draw horizontal and vertical axis of the graph then label the given data. We usually used the horizontal axis for the months, days, time and the vertical axis for numerical values like scores, sales, income and others PEL Learning Resource Material Mathematics G5 43


2. Plot the points, then connect all the points with a line 3. Write the title of the graph Learning Competency Organizes data in tabular form and present them in a line graph (M5SP-IVg-2.5) Direction: Construct a line graph using the data below Eggs gathered by Mang Ador in his poultry farm for a week Weeks Pieces of eggs gathered Monday 75 Tuesday 125 Wednesday 240 Thursday 100 Friday 60 Saturday 300 Sunday 170 PEL Learning Resource Material Mathematics G5 44


Pecto’s Bakery is one of the well known maker of crunchy and delicious broas in town. Below is their sales in 5 months. Direction: Construct a line graph based in the organized data below Sales in can Month 320 January 100 February 75 March 220 April 540 May Directions: Study these data. Organize them in a tabular form and present it in a line graph. These are the number of books issued to grade five pupils in PEL 3A. Books in Science 42, Mathematics 51, English 60, Filipino 34, and MAPEH 75 I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 45


LEARNING ACTIVITY SHEET LESSON 2 MATHEMATICS 5 INTERPRETING DATA PRESENTED IN DIFFERENT KINDS OF LINE GRAPH (Q4W6L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Can you interpret data presented in different kinds of line graphs? Graph make the presentation and comparison of data more easily undestandable. A line graph helps one see easily and clearly the changes in the data presented. A double line graph is very useful in comparing two sets of data in the same category. In reading and interpreting the data presented in a line graph, we usually compare the data in terms of size and amount or quality presented. We state the direction of the changes in the set of values to determine whether they are increasing or decreasing. Example 1: The School Head of PEL 3A plotted on a line graph the enrolment in each grade during the school year 2020- 2021. Enrolment of PEL 3A in School year 2020-2021 Number of Pupils 70 60 50 One Two Three Four Five Six 40 Grade Level 30 20 10 0 KG PEL Learning Resource Material Mathematics G5 46


1. The data presented in the horizontal axis are the grade level, while on the vertical axis shows the number of pupils enrolled in every grade level. 2. The data shows that Kindergarten has the highest number of enrolees. 3. Grade four has the smallest enrolment. 4. Only 41 pupils enrolled in Grade One. 5. There is more pupils enrolled in grade five than in grade four Example 2: Using the following set of data a double line graph can be used to show the enrolment of male and female for the three consecutive school year Enrolment School year 2016 -2017 2017 - 2018 2019- 2019 Male 120 100 230 Female 175 98 180 250 2017-2018 2018-2019 200 150 100 50 0 2016-2017 Male Female Directions: Study the graph carefully, then answer the questions that follow. Number of Roses Sold 30 Number of Roses Sold in Villaverde's 25 18 Flowershop 20 15 20 14 10 10 6 0 Friday Saturday Sunday Monday Tuesday Wednesday Thursday Days of the Week PEL Learning Resource Material Mathematics G5 47


1. What is the title of the graph? 2. How many roses were sold on Monday, Tuesday and Wednesday? 3. What day showed the most number of roses sold? 4. Which day showed that only 15 roses were sold in Villaverde’s Flower Shop? A. Monday C. Wednesday B. Saturday D. Friday 5. The number of roses sold on Saturday and Sunday are _________ A. 40 B. 25 C. 15 D. 45 Direction: Use the graph below to answer the following questions. Average Daily Sales at Mario's Fruit Stall 1600 1500 1400 1400 Sales in Pesos 1200 1000 1100 1000 800 800 600 500 400 200 0 Days of the Week 1. What is the graph about? 2. On what day was the highest sale? 3. How much was the total sales for the week? 4. What day has no recorded sales? 5. What day has the smallest sales? PEL Learning Resource Material Mathematics G5 48


Directions: Interpret or study the line graph, then answer the questions that follow. Kyle's saving deposits in Five 1. How much was his deposit in Months November? 2. How much was his biggest deposit? 600 550 3. On what months was his deposit Pesos 500 the same? 400 350 4. How much more is his deposit in 300 200 220 200 200 100 September than in November? 0 5. How much was his total deposit for Months five months? I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G5 49


LEARNING ACTIVITY SHEET MATHEMATICS 5 SOLVES ROUTINE AND NON-ROUTINE LESSON 1 PROBLEM USING DATA PRESENTED IN A LINE GRAPH (Q4W7L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ To solve problems using data presented in a line graph, read and analyze the problem carefully, answer the different mathematical questions and use the correct operations. Example 1: Study the line graph below Number of Modules 60 Inventory of Books 42 43 50 Grade 5 Grade 6 40 40 56 30 50 20 10 38 0 Grade 2 Grade 3 Grade 4 Grade 1 Grade Mrs. Aloner, our School Property Custodian made an inventory of the Fourth Quarter modules for Grade I to VI class. What is the total of modules checked for the quarter? PEL Learning Resource Material Mathematics G5 50


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