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Area, Learning Activity Sheet in LS 3, Alternative Learning System, Junior High School, , JENNY CLAIRE P. OFO-OB, Developer, , Department of Education ● Cordillera Administrative Region, Schools Division of Mountain Province ● Bontoc District, Central Bontoc Community Learning Center, 1

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Republic of the Philippines, DEPARTMENT OF EDUCATION, Cordillera Administrative Region, SCHOOLS DIVISION OF MOUTAIN PROVINCE, Bontoc, Mountain Province, , Published by:, Learning Resource Management and Development System, , COPYRIGHT NOTICE, 2021, Section 9 of Presidential Decree No. 49 provides:, “No copyright shall subsist in any work of the Government of the Philippines., However, prior approval of the government agency of office wherein the work is created, shall be necessary for exploitation of such work profit., This material has been developed for the implementation of K-12 Curriculum through the, Curriculum Implementation Division (CID)-Learning Resource Management and, Development System (LRMDS). It can be reproduced for educational purposes and the, source must be acknowledged. Derivatives of the work including creating an edited, version, an enhancement or a supplementary work are permitted provided all original work, is acknowledged and the copyright is attributed. No work may be delivered from this, material for commercial purposes and profit., , 2

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Name: _____________________________________________________________, , Date: ___________________, , Community Learning Center: ______________________________________, Level:, , Elementary, , JHS, , Score: __________________, , I. Learning Competencies,  Explain the meaning of area and its practical application in real life situations, e.g.: LS3MPM-PSD-LE/AE-49,  Convert one standard unit of area in the English to the metric system and vice versa, e.g.,, LS3MP-M-PSD-LE/AE/JHS-54, , II. Discussion:, Conversion, , It is important to know the relationship between units of measurement of area and, length. Their relationship can be used to convert one unit of measurement to another. The following, is a table of measurements that can help you convert one unit of measurement of area to another., It is advisable that you memorize the table to be able to convert units of measurement faster., The standard unit of area in the metric system is the square meter., 1 square kilometer (km2) = 1000000 square meters (m2), 1 km2 = 100 hectares (ha), 1 ha = 10000 m2, 1 m2 = 100 square decimeters (dm2), 1 dm2 = 100 square centimeters (cm2), 1 cm2 = 100 square millimeters (mm2), Listed are units of area not commonly used:, 1 square foot (ft.2) = 144 square inches (in.2), 1 in.2 = 6.4516 cm2, 1 m2 = 9 ft.2, The units square millimeter, square centimeter, square decimeter and square inch, are used to measure areas of small objects, figures or shapes., The units square foot and square meter are better used in measuring areas of bigger, objects, figures or shapes., The units hectare and square kilometer are used in measuring areas of massive or, large objects, figures or shapes., EXAMPLE 1, A farmer needs 12 ha of land to plant his mango trees. The land he owns has an, area of 125000 m2. Does the farmer have enough land to plant his mango trees in?, SOLUTION:, STEP 1 Identify the conversion factor to be used., 1ha =10000m2, STEP 2 Express the conversion factor as a ratio with the unit of measure to, be cancelled out in the denominator., 1 ha, 10000 m2, STEP 3 Multiply 125000 m2 by the conversion factor in ratio form to convert, square meters to hectares., , 125000 m2 x, , 1 ha, 10000 m2, , = 12.5 ha, , STEP 4 Make your conclusion. The farmer has enough land for a mango orchard., 3

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III. Activities, Activity 1, Direction: Match each object in Column A with the appropriate unit(s) of area in Column B. Write, the letter of your answer on the space before the number., , A, , B, , _____1. lighter, , a. mm2, , _____2. television set, , b. ft.2, , _____3. beach resort, , c. ha, , _____4. matchbox, , d. cm2, , _____5. food tray, , e. m2, , _____6. farmland, , f. km2, g. in.2, h. dm2, , Activity 2, Direction: Solve the following problems., 1. A businessman needs at least 3 ha of land to start his poultry farm. His family owns a, tract of land measuring 40000 m2, which will be divided equally among him and his, three brothers. Will the businessman be able to start his business?, , 2. A room has five windows. Each window has an area of 18 ft.2. If the material for making, curtains for the windows has an area of 10 m2, is the material large enough to make, curtains for all the windows?, , 4

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IV. Reflection, Area is the number of square units that is equal to the measure of a surface. The, basic unit of area in the metric system is the square meter. A unit of area can be converted to, another by looking at how they are related to each other., In converting a given unit of measurement to another, always remember to do the, following steps:, ✓ Identify the conversion factor from the table of units of measurement., ✓ Express the conversion factor as a ratio such that the unit of measurement to be, cancelled out is in the denominator., ✓ Multiply the given unit of measurement by the conversion factor., , V. References, , Area, Alternative Learning System Modules, VI. Answer Key, Activity 1:, A. 1. lighter, Possible answers are a, d, g and h., 2. television set Possible answers are b and e., 3. beach resort Possible answers are c and f., 4. matchbox Possible answers are a, d and g., 5. food tray Possible answers are a, d, g and h., 6. Farmland Possible answers are c and f., Activity 2:, 1. 1. SOLUTION:, STEP 1 Identify the conversion factor to be used., 1ha =10000m2, STEP 2 Express the conversion factor as a ratio., 1 ha, 10000 m2, STEP 3 Convert the unit of measurement., 4000 m2 x 1 ha =4 ha, 10000 m2, Compute the share of each of the four brothers if the land is divided equally among them., 4 hectares = 1 ha, 4 brothers, 1 brother, STEP 4 The businessman cannot start his business. He needs at least 3 ha of land but his share of the land is only 1 ha., 2. SOLUTION:, STEP 1 Identify the conversion factor to be used., 1m2 = 9 ft.2, STEP 2 Express the conversion factor as a ratio., 9 ft2, 1m2, STEP 3 To get the total area needed to make curtains for all the windows, multiply the area of each window by the number of, windows. Compute the total area of the 5 windows., 18 ft.2 ×5 = 90 ft.2, Convert the unit of measurement from square meters to square feet., 10m2 × 9ft2 = 90 ft2, 1 m2, Compare the total area of the 5 windows and the area of the material for the curtains., 90 ft.2 = 90 ft.2, STEP 4 The material for the curtains of the 5 windows is not enough. There should be allowance for pleats., , 5