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SECOND QUARTER – MATHEMATICS - 6 SECOND QUARTER – MATHEMATICS - 6
CONTENT STANDARD Demonstrate understanding of order of operations, ratio and proportion, percent, exponent, and integers RUEL R. PALCONIT NAUBAY ELEMENTARY SCHOOL LLORENTE, E. SAMAR
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Llorente Eastern Samar: (DCLM VII.)
WEEK - 11 Day – 1 Learning Competency Expresses one value as a fraction of another given their ratio and vice versa. (M6NS –IIa- 129) Llorente Eastern Samar: (DCLM VII.) FOOD and LOCAL PRODUCTS
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How to Add Fraction Drill Mentally: Add the following Fractions.
1.) 1/4+ 1/4+ 1/4 = 3/4 How to Add Fraction Add the top/ numerators Don’t add the bottom/ denominators
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How to Subtract Fraction
Drill Mentally: Subtract the following Fractions. 2.) 9/10 – 2/10 = 7/10 How to Subtract Fraction Subtract the top/numerators Don’t subtract the bottom/ denominators
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What have you seen in the pictures?
Establishing a purpose What have you seen in the pictures? Look at the pictures, count the number of girls and boys in their respective rows. Write your answer on your notebook.
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Number of Pupils in a Row
Presentation c. Tabulate the data on your notebook as follows: d. Ask: 1. How many children in its row? 2. How do you compare the number of boys to the number of girls in Row 1? Row2? - Compare Row 2 to Row 4? e. Introduce the concept of ratio. ROW NUMBER Row No. No. of Boys No. of Girls Number of Pupils in a Row
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A ratio is a comparison of two numbers by division.
To write ratios, use the word is to, a colon, or a fraction bar. EXAMPLE : John read 3 books in 4 days. Write the ratio of books to days. Words/phrase : 3 is to 4 Colon: 3:4 Fraction: 3/4
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EXAMPLE #1: Carl and Patrick are twins
EXAMPLE #1: Carl and Patrick are twins. Carl has 10 pieces of “biribid” and Patrick has 5 pieces of “salukara” . Write the ratios of biribid to salukara. Expressed it as words, colon and fraction. Colon: 10: 5 Fraction: 10/5 Words/phrase : 10 is to 5
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(Group Activity) 3 groups
Performing the Activities (Group Activity) 3 groups There are 9 boys and 14 girls in grade six section sampaguita. Group 1: What is the ratio of girls to boys using a fraction? Group 2: What is the ratio of girls to children in grade six section sampaguita (use a colon)? 14:23 Group 3: What is the ratio of boys to children in grade six section sampaguita (use words)? 9 to 23
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Processing the Activities
How did you find the activity? Did you find the right answer? How did you express one value as a ratio/fraction and write them into three different ways/vice versa. - As a words/ phrase As colon (:) As fraction
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Developing Mastery Collaborative Work
Can you express the following as ratios in three different ways? Fill in the chart. Expressed the ratios in simplest form. As a words/phrase As a fraction Using a colon(:) 1.) a box of pencil to ₱ 50.00 2.) 5 mangoes to dozen of oranges 3.) 15 minutes to 2 hours 1 is to 50 1 / 50 1:50 5 is to 24 5 / 24 5:24 15 is to 120 15/ 120 15:120
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Let’s Investigate As a words/phrase As a fraction Using a colon(:)
3.) 15 minutes to 2 hours 15 is to 120 15/ 120 15:120 Try to examine the answer for number 3. When ratio dealing with measurements, a ratio must be expressed using the same unit of measurements. Ex. 15 minutes to 2 hours Since minutes and hours are different unit of measurement we cannot answer immediately by writing as 15 :2, we must convert first the hours into minutes. So, 2 hours = 120 minutes. That is why, the answer of number 3 became 15:120.
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Apply your skills Your father told you to buy 2 kilos of “kuyog” and 4 kilos of “tarukog.” Now using the three ways in writing the ratio. Expressed the ratio of tarukog to kuyog?
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Generalization How do we expressed one value as a fraction of another given their ratio and vice versa. A ratio is a comparison of two quantities. A ratio can be written in three ways. - as a words/phrase - as a fraction - using a colon
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A ratio maybe express in simplest form.
Generalization A ratio maybe express in simplest form. The order of quantities must be considered in writing a ratio. When dealing with measurements, a ratio must be expressed using the same unit of measurements.
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Evaluation Expressed the ratio of the following in three ways.(word/phrase form, colon form and fraction form) 1.) 3 books, 5 bags – ratio of books to bags 2.) 10 candies, 2 chocolate bars, - ratio of chocolate bars to candies. 3.) 7 boys, 9 girls- ratio of girls to boys. 4. ) 3 dogs, 8 cats – ratio of dogs to cats 5.) 6 forks,12 spoons – ratio of spoons to forks.
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