PEL Learning Resource Material Mathematics G4 1
PEL Learning Resource Material Quarter 4 First Edition, 2021 MATHEMATICS Grade 4 JESSIE E. QUESEA, Ph.D Public Schools District Supervisor MARY ROSE C. ESTRABO School-Head In-Charge FIJIEL JOHN S. MABULAY (Chairman) ANALYN S. PLATA JOHN ARNOLD G. NADA MARISSA A. APAYA Writers MARIA ADELFA M. NANO MARICRIS V. DATOR Content Evaluators VICKY B. ABRAHAM ELAINE D. DE GUZMAN Language Evaluators ANGELICA L. HARI MARK WINSON C. MECIJA Lay-out Artists/ Illustrators PEL Learning Resource Material Mathematics G4 2
WEEK 1 5 Lesson 1: Finding the area of irregular figures made up of squares 10 And rectangles using sq.Cm ans sq.M.….………...…..…………..... 16 Lesson 2: Finding the area of triangles, parallelograms and 22 Trapezoids using sq.Cm and sq.M…………………………..………. 27 31 WEEK 2 36 Lesson 1: Solving routine and non-routine problems involving 41 Squares, rectangles, triangles, parallelograms, 46 and trapezoids………………………………………………………….. 52 WEEK 3 58 Lesson 1: Visualizing the volume of solid figures in different 64 situations using non-standard (e.g.Marbles, ect.) 69 and standard units……………………………………………………… 73 Lesson 2: Find the volume of a rectangular prism using cu. Cm and cu. M…………………………………………...………….. Lesson 3: Solving routine and non-routine problems involving the volume of rectangular prism………………………………………. WEEK 4 Lesson 1: Collecting data on two variables using any source……………….... Lesson 2: Organizing data in tabular form and present them in a single/double horizontal or vertical bar graph………………….…… WEEK 5 Lesson 1: Interpreting data presented in different kinds of bar graphs (vertical/horizontal, single/double-bar graph)…………………...…… Lesson 2: Solving routine and non-routine problems using data presented in a single or double-bar graph………………...…… WEEK 6 Lesson 1: Drawing inferences based on data presented in a double bar graph……………………………………………….…. Lesson 2: Recording favorable outcomes in a simple experiment (e.g.Tossing a coin, spinning a wheel, etc.)………………..……….. WEEK 7 Lesson 1: Expressing the outcomes in a simple experiment in words, symbol, table, or graphs……………………………………. Lesson 2: Explaining the outcomes in an experiment…..……………………… PEL Learning Resource Material Mathematics G4 3
WEEK 8 Lesson 1: Solving routine and non-routine problems involving a simple experiment………………….…………………………. 78 REFERENCES…………………………………………………………………………… 84 KEY TO CORRECTIONS………………………………………………………………. 85 PEL Learning Resource Material Mathematics G4 4
LEARNING ACTIVITY SHEET LESSON 1 Name of Learner: MATHEMATICS 4 Grade Level: FINDING THE AREA OF AN Section: IRREGULAR FIGURES (Q4W1L1) Date: ____________________________________ ____________________________________ ____________________________________ ____________________________________ To find the area of an irregular figure that is a combination of squares and rectangles: Divide or cut the figure into squares and rectangles. Find the area of each square or rectangle made; Add the areas of the squares and rectangles made to find the area of the irregular figure and Express the area in square units. The formula for finding the area of a: SQUARE A = s x s or A = s2 RECTANGLE A = l x w or A = L x w PEL Learning Resource Material Mathematics G4 5
Example. Find the area of this figure 8m Area 1 = 8 x 4 = 32 sq. m A1 A2 4m 4m 4m Area 2 = 4 x 4 = 16 sq. m Add the areas; 32 + 16 = 48 sq. m The area of the irregular figure is 48 sq. m or 48 m2 Learning Competency Finds the area of irregular figures made up of squares and rectangles using sq. cm and sq. m (M4ME Iva-55) Find the area of the following irregular shapes 3m 8m 6m 8m 3m 1.) 2.) 3m 6m 3m Area = _____________________ Area = _____________________ PEL Learning Resource Material Mathematics G4 6
3.) 5m 4.) 3 cm 6 cm 12m 7m 4 cm 5m 2 cm 5 cm 9 cm Area = _____________________ Area = _____________________ 6 cm 5.) 5 cm 6 cm Area = _____________________ 4 cm 3 cm 3 cm 7 cm Find the area of the following irregular figures. Encircle the letter of the correct answer 1.) 9 cm 2.) 3 cm 4m 6m 5 cm 5m 3 cm a.74 m2 b.47 m2 c.42 m2 a.24 m2 b.42 m2 c.20 m2 PEL Learning Resource Material Mathematics G4 7
16 m 4 cm 4 cm 3.) 4.) 5m 5m 4 cm 8 cm 20 m a.254 m2 b.242 m2 c.245 m2 12 cm a.60 cm2 b. 80 cm2 c. 100 cm2 5m 5.) 5m 15 m 5m a.125 m2 b.150 m2 c.50 m2 5m 15 m Find the area of these irregular figures. 4 cm 2.) 3m 1.) 3m 3m 9m 4 cm 20 cm PEL Learning Resource Material Mathematics G4 8
3.) 4.) 15 cm 3m 6m 15 cm 8m 7 cm 5 cm 12 m 18 m 5.) 6 m 12 m 6m 18 m I understand that _______________________________. I realized that ___________________________________________. PEL Learning Resource Material Mathematics G4 9
LEARNING ACTIVITY SHEET MATHEMATICS 4 LESSON 2 FINDING THE AREA OF TRIANGLES, PARALLELOGRAMS AND TRAPEZOIDS USING SQ. CM AND SQ. M (Q4W1L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ To find the area of triangle, the formula is 1 of the base x 2 height. A = ( b x h ) or ������ℎ 2 A. Louie’s triangular pond in Barangay Aliliw has a base of 10 meters and a height of 6 meters. What is the area of the pond? The pond has the shape of a triangle. The formula is 1 of the length of 2 the base x height. Thus; A = 1 b x h 6m 2 10 m = 1 of (10 x 6) 2 = 1 of 60 2 = 30 m2 PEL Learning Resource Material Mathematics G4 10
The area of the pond is 30 square meter B. Mr. Cada bought a piece of land that has a shape of a trapezoid. Its base 1 is 24 m, base 2 is 20 m and height is18m. What is the area of the lot? Formula in finding the area of trapezoid is: A = 1 ( b1+b2) x h or ( b1+b2) x h 2 2 20 m = 1 (24+20) x 18 m 18 m 2 m = 1 (44 x 18) 24 m m 2 = 792 2 A = 396 m2 or it can be A = (������1+2������2) x h = (24+220) x 18 = (44) x 18 = 22 x 18 2 A = 396 m2 C. Elo planted vegetables in his backyard during pandemic. His vegetable garden is in shape of parallelogram. It has a base of 8 meters and a height of 6 meters. Find its area. PEL Learning Resource Material Mathematics G4 11
Formula in finding the area of a parallelogram is: A=bxh 6m =8x6 8m A = 48 m2 The area of the vegetable garden is 48 square meters or 48 m2 Learning Competency Finds the area of triangles, parallelograms and trapezoids using sq. cm and sq. m (M4ME – IVb – 58 Activity 1 Find the area of the following figures. 1.) 2.) 9 m 8 cm 8m 14 cm A = ________________ A = ________________ 3.) 6 cm 4.) m 16 m 5 cm 10 cm 10 m A = ________________ A = ________________ PEL Learning Resource Material Mathematics G4 12
5.) A = ________________ 8m 15 m Complete the missing data. 2. Parallelogram base = 15 cm 1. Triangle height = 6 cm base = 9 m height = 4 m A = _____________________ A = _____________________ 3. Trapezoid 4. Triangle base 1 = 10 m base = 10 cm base 2 = 14 m height = 7 cm height = 4 m A = _____________________ A = _____________________ PEL Learning Resource Material Mathematics G4 13
5. Triangle base = 9 m height = 4 m A = _____________________ Find the area of each figure with the corresponding letters. 6 cm 4 cm mA m 5 cm 8 cm 5 cm D B C m 8 cm 6 cm E 7 cm m m 10 cm m A = ____________________ D = _____________________ B = ____________________ E = _____________________ C = ___________________ PEL Learning Resource Material Mathematics G4 14
I understand that _______________________________. I realized that ___________________________________________. PEL Learning Resource Material Mathematics G4 15
LEARNING ACTIVITY SHEET MATHEMATICS 4 Solving Routine and Non-Routine LESSON 1 Problems Involving Squares, Rectangles, Triangles, Parallelogram and Trapezoids (Q4W2L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ To solve word problems involving area, follow the four step plan Understand – Know what is asked, what are given Plan – Know the operation. Write the number sentence Solve – Write the correct units/label your answer Check and Look back – Review and check your answers Example Kim and Via bought a linoleum at JWJ store for their living room. It measures 6 meters long and 4 meters wide. What is the area of the linoleum? To solve the problem, follow the four step plan PEL Learning Resource Material Mathematics G4 16
a. Understand What is asked? What is the area of b. Plan the linoleum? c. Solve What are the given The given facts are 5 facts meters long and 4 meters wide What operation will you use? Multiplication What is the number 6m x 4m = N sentence? Show the solution A=lxw 6m x 4m = 24m d. Look back and What is the answer The area of the check linoleum is 24m 2 Learning Competency Solves routine and non-routine problems involving squares, rectangles, triangles, parallelograms and trapezoids (M4ME IVc-60) Choose the letter of the correct answer A rectangular vegetable garden has a dimension of 9 meters long and 7 meters wide. How much area is occupied by the vegetable garden? ________ 1. What is asked in the problem? a. Area of the vegetable garden b. Dimension of the vegetable garden PEL Learning Resource Material Mathematics G4 17
c. Shape of the vegetable garden d. Width of the vegetable garden ________ 2. What are given? a. 7 cm c. 9 m b. 11m d. 9 m and 7 m ________ 3. Which formula will be used? a. A = b x h c. A = l x w b. A = l x w x h d. A =s x s ________ 4. Which of the illustrations best represents the world problem? 7m 9m c. 9m a. 7m b. 7m 7m d. 9m ________ 5. Which is the correct answer? 22 a. 32 m2 c. 263 m b. 49 m d. 36 m PEL Learning Resource Material Mathematics G4 18
Solve the following word problems. Write the answer on the space provided at the right 1. A rectangular garden is 12 m long and 8 m wide. What is the area? A = ___________________ 2. A triangular shawl has a base of A = ____________________ 150 cm and a height of 50 cm. Find the area. 3. A trapezoidal table has to be A = ____________________ covered with a glass top. If the upper base is 120 cm, the lower base is 150 cmand the distance between the bases is 75 cm. What is the area? 4. A square table cloth measures 160 cm on one side. Find its area. A = _________________ PEL Learning Resource Material Mathematics G4 19
5. Mr. Borya bought a parallelogram shape lot. Its base is 36 meters and Its height is 20 meters. What is the area of the lot? A = __________________ Read and understand the problems below then solve for the correct answer. 1. What is the area of a triangular plantitas garden whose base is 9 meters and height of 6 meters? 2. A residential lot in Calmar subdivision has the shape of parallelogram. Its base measures 20 meters. The distance between the two parallel sides is 8 meters. What is the area of the lot? 3. A chessboard is 10 cm long on each side. What is the area of the chessboard? 4. Tristen bought a new bed which is 185 cm long and 120 cm wide. What is the area of the bed? PEL Learning Resource Material Mathematics G4 20
5. Taniel draws a hat in their art class which is shaped like a trapezoid. The base 1 is 8 cm, base 2 is 12 cm and the height is 5 cm. What is the area of the hat? I understand that _______________________________. I realized that ___________________________________________. PEL Learning Resource Material Mathematics G4 21
LEARNING ACTIVITY SHEET MATHEMATICS 4 VISUALIZING THE VOLUME OF LESSON 1 SOLID FIGURES IN DIFFERENT SITUATION USING NON-STANDARD AND STANDARD UNITS (Q4W3L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Non-standard units Try to remember the following: Volume is the amount of space a solid figure occupies. A solid figure is a three-dimensional shape. Non-standard units can be used to measure volume. When a non-standard unit used is small, more units are needed to fill a container. When the non-standard units used is bigger, fewer units are needed to fill the container. Non-standard units do not give a consistent and accurate measurement of the volume of a container. Standard units 1 cm 1 cm This is 1 cubic cm box 1 cm PEL Learning Resource Material Mathematics G4 22
Let us study the solid figure. You can count the cubes to find the volume of a box. 8 cubic unit If 1 cubic unit is equal to 1 cubic cm the volume is 8 cubic cm or 8 cm3. A cubic centimeter (cm3) is a standard unit of measuring volume. A cubic meter (m3) is another one. Learning Competency Visualizes the volume of solid figures in different situation using non- standard (e.g. Marbles, etc.) and standard units. (M4ME-IVd-62) Direction: Write TRUE if the statement is correct and FALSE, if not. _________ 1. A solid figure is a 3-dimensional figure. It has length, width, and height. _________ 2. Non-standard units give a consistent and accurate measurement of the volume of a container. PEL Learning Resource Material Mathematics G4 23
_________ 3. Volume is measured in cubic units, such as cubic centimeters (cm³). ________ 4. Standard units do not give a consistent and accurate measurement of the volume of a container. _________ 5. The amount of space inside an object is called the area of the object. Direction: Find the volume of each solid figures. Use 1 cube = 1 cubic cm ________ 1. _______ 3. ________ 2. _______ 4. ________ 3. 24 PEL Learning Resource Material Mathematics G4
Direction: Answer the following question. A. The diagram below shows a large cube made from 1 cubic cm 1. How many small cubes are there in each layer of the large cubes?____________ 2. What is the volume of the large cube? ____________ B. Look at the cube below. 3. What is the volume of the cube? _______________ 4. If the top layer of the cube is cut off, what is the volume of the remaining solid?____________ C. Find the volume of this solid figure 5. _______________ PEL Learning Resource Material Mathematics G4 25
I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G4 26
LEARNING ACTIVITY SHEET LESSON 2 MATHEMATICS 4 FINDING THE VOLUME OF A RECTANGULAR PRISM USING cu.CM and cu.M (Q4W3L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Volume is the number in cubic units inside a space figure. A rectangular prism is a solid figure that has six faces, twelve edges and eight vertices. To find the volume of rectangular prism we use the formula Volume = length x width x height. height width length Example 1 Solution 4cm Volume = length x width x height = 5cm x 3cm x 4cm 3cm 5cm = 60 cubic cm. 27 PEL Learning Resource Material Mathematics G4
Example 2 Solution Volume = length x width x height 7m 7m = 7m x 7m x 7= 343 cubic m. 7m Learning Competency Find the volume of a rectangular prism using cu.Cm and cu.M. (M4ME-IVf-64) Direction: Write the letter of the correct answer on the blank. _______ 1. What is the volume of square box with 7 cm on one side? a. 333 cm3 c. 343 cm3 b. 334 cm3 d. 433 cm3 ________ 2. Give the volume of the given figure. 6cm a. 200 cm3 5cm b. 210 cm3 7cm c. 201 cm3 d. 211 cm3 ________ 3. What is the volume of the figure? c. 251 m3 12m d. 216 m3 3m a. 201 m3 b. 261 m3 6m PEL Learning Resource Material Mathematics G4 28
_________4. Which of the 2 figures has greater volume? Figure A Figure B 8cm 6cm 8cm 5cm 8cm 15cm a. Figure A c. Figure B b. They have the same volume. d. None ________ 5. A match box is 6 cm by 4 cm by 3 cm. What is its volume? a. 13 cm3 c. 72 cm3 b. 72 cm2 d. 27 cm3 Direction: Use the formula to find the volume of each prism below. 1. 4. 6cm 3m 2m 3cm 6m 7cm 2. 5cm 5. 5m 3m 5cm 7m 5cm 3. 5m 2m 4m PEL Learning Resource Material Mathematics G4 29
Direction: Complete the table. Width Height Volume 4m 5m Box Length 6cm 9cm A 5m 8cm 5cm B 7cm 6m 6m C 10cm 7m 8m D 6m E 7m Reflection I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G4 30
LEARNING ACTIVITY SHEET MATHEMATICS 4 SOLVING ROUTINE AND LESSON 3 NON-ROUTINE PROBLEMS INVOLVING THE VOLUME OF RECTANGULAR PRISM (Q4W3L3) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Fiejey has an aquarium with the length of 100 centimeter, a width of 65 centimeter, and a height of 90 centimeter. How much water is needed to fill the aquarium? How will you solve the problem? You can solve the problem following these steps. Steps Answer Understand: 1.Know what is asked in the Amount of water needed to fill the problem. aquarium. 2. Know what facts are given. l = 100 cm, w = 65 cm, h = 90 cm Plan: PEL Learning Resource Material Mathematics G4 31
3. Determine the operation or Multiplication : V = l x w x h formula to use. 4. Show the solution using the V = l x w x h (substitute the formula. given facts) = 100cm x 65cm x 90 cm = 585 000 cubic cm. or 585 000 cm3 Check and look back: Check your answer. Fiejey needs 585 000 cm3 of water State your answer to fill the aquarium. Learning Competency Solving routine and nonroutine problems involving the volume of a rectangular prism. (M4ME-IVf-65) Direction: Read the problem. Then, answer the questions that follow. Aling Maria has a box measuring 45 cm long, 50 cm wide and 40 cm high. If she will store rice in it, how many cubic cm of rice will it contain? PEL Learning Resource Material Mathematics G4 32
1. What is asked in the problem? ____________________________________________________ 2. What are given fact? ____________________________________________________ 3. What operation/formula to be used? ____________________________________________________ 4. How is the solution done? 5. What is the answer? _____________________________________________________ Direction: Read the problem. Then, Answer the question that folPloawa.ralang Elementarya ng Lucban has a swimming pool measuring 25m long, 15m wide and 6m height if it is filled with water. What is the volume of the swimming pool? 1. What is asked in the problem? _____________________________________________________ 2. What are given fact? _____________________________________________________ PEL Learning Resource Material Mathematics G4 33
3. What operation/formula to be used? _____________________________________________________ 4. How is the solution done? 5. What is the answer? _____________________________________________________ Direction: Solve the following problem 1. A chocolate box is 9cm long, 6cm wide and 3cm height. What is the volume of the box? _____________________________________________________ 2. Carmella’s lunch box is 20 cm long, 15 cm wide and 9 cm height. What is the volume of the lunch box? _____________________________________________________ 3. A refrigerator is 40 cm long, 50 cm wide, and 120 cm height. What is the volume of the refrigerator? _____________________________________________________ PEL Learning Resource Material Mathematics G4 34
4. Chloe’s cabinet is 70 cm long, 30 cm wide and 40 cm height. What is the volume of the cabinet? _____________________________________________________ 5. Joey dug a compost pit which is 3 m long, 4 m wide and 2 m height. What is the volume of the compost pit? I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G4 35
LEARNING ACTIVITY SHEET LESSON 1 MATHEMATICS 4 Collecting Data on Two Variables using any source (Q4W4L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Let’s Discuss! Our School celebrates National Book Week. Pupils were asked to read any books they wanted in the library. Mrs. Racelis made a table on Grade IV readers. It showed the number of barrowers and type of books they read. Kind of Books Number of Borrowers Horror 50 63 Fairy Tails 33 Mystery 24 Fables 15 Comedy 1. Based on the table given below, how many grade IV read a book during National Book Week? (187 grade IV pupils) 2. How many kind of book are in the table? (5 books) PEL Learning Resource Material Mathematics G4 36
3. What kind of book was read most? (Fairy Tales) 4. How many pupils barrowed books about horror? (50) 5. What kind of book reed the least? (Comedy) Learning Competency Collects data on two variables using any source. (M4SP-IVg-1.4) Direction: Answer the question that follow and write the letter of the correct answer on the blank Mrs. Mabulay made a survey on grade III pupils on what animals they like to see in the zoo. Animals Number of Pupils Lion 11 Tiger 14 Crocodile 9 Elephant 25 Snake 14 ______ 1. What animals did the pupils like to see most? A. Lion B. Tiger C. Elephant D. Crocodile PEL Learning Resource Material Mathematics G4 37
______ 2. How many pupils wanted to see the crocodile? A. 11 B. 9 C, 14 D. 25 _______ 3. How many pupils like to see tiger and lion? A. 25 B. 26 C. 27 D. 28 _______ 4. How many pupis selected elephant than snake? A. 9 B. 10 C. 11 D. 12 _______ 5. How may pupils participate in the survey? A. 70 B. 71 C. 72 D. 73 Direction: Answer the following question. Mrs. Marcelino posted a survey on grade IV pupils on what kind of food they like for snack. Soup Number of Pupils champorado 12 Pansit Lucban 15 11 Lugaw 6 Mami 7 Bihon PEL Learning Resource Material Mathematics G4 38
1. How many kinds of food Mrs. Marcelino posted in the list? 2. What food did the children liked most? 3. How many pupils like pansit lucban? 4. What food got the least number of votes? 5. How many pupils in Grade IV participated in the survey? Direction: Answer the following question. Enrolment of Grade Four Pupils in Paaralang Elementarya ng Lucban School Year 2020-2021 Grade Four Number of Enrollees SPED – GT 32 45 Laurel 44 Sampaguita 44 Everlasting 43 Anthurium 43 Lavander 1. What section had a greatest number of enrollees? 39 2. What section had the least number of enrollees PEL Learning Resource Material Mathematics G4
3. What is the sum of enrollees in section Sampaguita and Lavander? 4. What is the difference in the number of enrollees in Laurel than SPED-GT? 5. How many pupils are enrolled in Grade Four? I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G4 40
LEARNING ACTIVITY SHEET MATHEMATICS 4 ORGANIZING DATA IN TABULAR FORM LESSON 2 AND PRESENT THEM IN SINGLE/DOUBLE HORIZONTAL OR VERTICAL BAR GRAPH (Q4W4L2) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ A bar graph is the easiest way to show the comparison of the data. Let us make a bar graph using the data below. Mrs. Cupino as a grade leader, wants to compare the number of pupils in grade IV in Paaralang Elementarya ng Lucban -1 so she decided to make a bar graph. Grade IV Enrollment for School Year 2020-2021 Section Number of Pupils SPED - GT 32 45 Laurel 44 Sampaguita 44 Everlasting 43 Anthurium 43 Lavander PEL Learning Resource Material Mathematics G4 41
Here are the steps in making a bar graph: 1. Make a horizontal and vertical axis. 2. Decide on the data to be placed along the horizontal axis and the data to be placed on the vertical axis. 3. Write down the choices you are comparing and determine the intervals based on your data. 4. Plot your data by making a bar for each item, The length of the bar corresponds to the data. 5. Give the title to your graph. 6. You may color your graph to make it attractive. HORIZONTAL BAR GRAPH Grade IV Enrolment for School Year 2020- 50 2021 45 40 35 Number of 30 Pupils 25 20 15 10 5 0 Laurel Sampaguita Everlasting Anthurium Lavander SPED-GT Name of Section PEL Learning Resource Material Mathematics G4 42
VERTICAL BAR GRAPH Grade IV Enrolment for School Year 2020-2021 Name of Lavander Section Anthurium Everlasting Sampaguita 5 10 15 20 25 30 35 40 45 50 Laurel Number of Pupils SPED - GT 0 Example 2 Double bar graph Score on Practice Test and Final Test Student Practice Test Final Test Carl 7 10 Chloe 9 8 Carmelle 8 8 Fiejey 6 9 Score on Practice Test and Final Test Score in test 12 10 8 6 4 2 0 Carl Chloe Carmelle Fiejey Name of Student Practice Test Final Test PEL Learning Resource Material Mathematics G4 43
Learning Competency Organizes data in tabular form and present them in single/double horizontal or vertical bar graph. (M4SP-IVg-1.4) Direction: Organize and use the data below to make a horizontal graph. Children’s Favorite Household Pets Name of Pets Number of Children Dog 10 Cat 7 Fish 8 Bird 6 Direction: Organize and use the data below to make a vertical bar graph. Snacks Served in the PEL-1 Canteen Snaks Number of Pieces Sandwish 40 Bread 30 Puto 35 Pizza 45 PEL Learning Resource Material Mathematics G4 44
Direction: Organize and use the data below to make a double bar graph. Favorite Books of Grade IV - Sampaguita Books Boys Girls Fairy Tales 10 8 Adventure 7 3 Biography 4 5 Science Fiction 3 4 I understand that ________________________________________________. I realized that __________________________________________________. PEL Learning Resource Material Mathematics G4 45
LEARNING ACTIVITY SHEET MATHEMATICS 4 INTERPRETING DATA PRESENTED IN LESSON 1 DIFFERENT KINDS OF BAR GRAPHS (VERTICAL/HORIZONTAL, SINGLE/DOUBLE BARS) (Q4W5L1) Name of Learner: ____________________________________ Grade Level: ____________________________________ Section: ____________________________________ Date: ____________________________________ Bar graph shows a comparison of two or more data. Horizontal and vertical bars are used to compare data. By data on the graph, we can easily see and compare To interpret data presented in different kinds of bar graphs like vertical, horizontal, single or double bar graphs. It is easy to read and interpret data using bar graph. Let us study the example of bar graph and answer the following questions. PEL Learning Resource Material Mathematics G4 46
Mrs. Plata made a survey on the favorite Lucban games of Grade IV pupils in Paaralang Elementarya ng Lucban 1. The graph below shows the result of the survey. FAVORITE LUCBAN GAMES OF GRADE IV 60 PUPILS 50 Number of Pupils 40 30 20 10 0 Sipa Patintero Piko Taguan Habulan Chinese Luksong Jack n Poy Games Garter tinik 1. What does the x-axis show? Games 2. What does the y-axis shows? Number of Pupils 3. What is the title of the graph? Favorite Games of Grade IV pupils 4. What is the favorite Lucban games of Grade IV pupils? Patintero 5. What games do the pupils like the least? Chinese Garter PEL Learning Resource Material Mathematics G4 47
Learning Competency Interprets data presented in different kinds of bar graphs (vertical/horizontal, single/double bars). (M4SP-IVg-3.4) Analyze the graph below and answer the questions that follow. SPED Paaralang Elementarya ng Lucban 1 Population VI V 56 IV 230 III II 213 I 250 264 Kinder 0 220 235 240 50 100 150 200 250 300 1. What grade level has the fewest number of pupils? 48 a. SPED b. Grade I c. Grade II d. Grade III 1. What grade level has 250 pupils? a. Grade I b. Grade II c. Grade III d. Grade IV PEL Learning Resource Material Mathematics G4
2. What grade level has the most number of pupils? a. Grade II b. Grade III c. Grade IV d. Grade V 3. How many grade III pupils are there more than of grade I? a. 21 b. 23 c. 27 d. 29 4. How many pupils are there in PaaralangElementarya ng Lucban 1? a. 1708 b. 1718 c. 1807 d. 1817 Analyze the graph below and answer the questions that follow. Favorite Fruits of Grade IV pupils Papaya 23 Bayabas 30 Mansanas 37 Ponkan 30 78 Saging 52 Manga 10 20 30 40 50 60 70 80 90 0 1. What is the graph about? _____________________________________________________ PEL Learning Resource Material Mathematics G4 49
2. What are the fruits to be chosen? _____________________________________________________ 3. Which fruits do the pupils like best? _____________________________________________________ 4. What fruits are like the same number of pupils? _____________________________________________________ 5. How many grade IV pupils participated in the survey? ____________________________________________________ Study the graph and answer the questions below. 80 75 Favorite Snacks of Grade IV pupils 15 70 Puto 60 60 50 45 40 30 40 20 20 10 Tamalis Kamote Que Banana Que Maha 0 Pansit Lucban 1. List down the number of pupils who liked: a. PansitLucban _____________ b. Tamalis _____________ c. Kamote Que _____________ d. Banana Que _____________ PEL Learning Resource Material Mathematics G4 50
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