MATH 5 LESSON a Visualizes percent and its

MATH 5 LESSON: a. Visualizes percent and its relationship to fractions, ratios, and decimal numbers using models. b. Defines percentage, rate or percent, and base. c. Identifies the base, percentage, and rate in a problem. " This Photo by Unknown Author is licensed under CC BY

If we are to write the ratio 1: 3 in fraction which will be the numerator? the denominator? A. If we are to get how many percent of the pupils are boys, in relation to the group, divide the numerator by denominator. 1/3. 33 or 33% 9 10 9 1 There are 33% in relation to the girls in the group. In decimal, change percent to fraction with denominator of 100. Ten express fraction as a decimal. = 0. 33 Or simply drop the % symbol, Then move the decimal point 2 places to the le 33% =. 33 = 0. 33 This Photo by Unknown Author is licensed under CC BY

Using pictures the pupils will give the ratio of the number shaded parts to the unshaded part. Then change them to fractions, decimal and percent. 2: 7 2/7 0. 29 29% Ratio _______ Fraction ______ Decimal _______ Percent ____ 47: 100 Ratio _______ 47/100 Fraction _____ 0. 47 Decimal _____ 47% Percent _____ This Photo by Unknown Author is licensed under CC BY

TRY THIS ! 84: 100 Ratio _______ 84/100 Fraction _____ 0. 84 Decimal _____ 84 % Percent _____ This Photo by Unknown Author is licensed under CC BY

Ratio is a comparison between two or more quantities. It can also be expressed as fraction, the first number being the numerator and second being the denominator. Through ratios and fractions we can get the percent equivalent by dividing the numerator by the denominator. The result is a decimal but move the decimal point two places the right and affix the percent sign to get the percent

LOOKING BACK!!!!!! FRACTION DECIMAL RATIO 0. 25 1: 4 ¾ 0. 75 3: 4 2/5 0. 4 2: 5 PERCENT 25% 75% 40%

B. Presentation Rafaela has 10 paper clips. She gives 2 paper clips to her seatmate and keeps the rest for the future use. Is it right for her to say that she keeps 80% of the paper clips? Given to Seatmate For Future Use

Identifying the rate, base and percentage. The RATE is the percent of the whole. It has the percent symbol (%). The BASE is the whole we’re talking about. It is written after the word “of” or the phrase “percent of”. The PERCENTAGE is the portion of the whole based on the rate. It is usually followed by the word “is”.

Using the Techan’s Triangle, ask them to determine the rate, base, and percentage. 2 P R B 20% 10

LET’S TRY!!! Station 1: 5 is what percent of 50? What is the rate? ______ Station 2: 40% of 60 is what? What is the percentage? _______ Station 3: 16 is 25% of 64 The base is ____ Station 4: 15% of total sales is P 8 910. The rate is _____ Station 5: 43% of 150 is 64. 5 The base is ______

REMEMBER!!!!! Percentage is a part of a whole. It is the resulting fractional part of the base. Rate is the number written with the word “percent” or with the symbol “%”. Base is the total or whole and it is the number that usually follows the phrase “percent of” or “% of”.

LET’S TRY!!!!! Identify the R, B, and P in the following statements R B P 1. 180% of 200 is 360 ______ 2. 35% of 90 is 31. 5 _______ 3. P 100 is 4% of P 2 500 _______ 4. 20% of 50 is 10 _______ 5. Seven of the 35 boys in the class wear eyeglasses. 20% of the boys wear eyeglasses. Which is the base? a. 20% c. 7 b. 35 d. 40

We deal with the three elements: rate, base and percentage : 75% of 8 = 6 Rate Base Percentage The relationship among the three is: R x B = P or P = R x 75% is the rate. The number written with the word “percent” or with the symbol “%” It can be expressed as a ratio of fraction. 8 is called the base. The total or whole and it is the number that usually follows the phrase “percent of” or “% of”. 6 is called percentage. It is the part of the whole.

Identify the rate, base, or percentage in the following problems. 1. 50% of 78 = 39 2. 10% of 60 = 6 3. A 20% or P 4 600 is the down payment for a brand new TV set. The original price of the TV set is P 23 000. 4. Carlo invest P 750 000 at 6 % simple interest a year. His interest is P 48 750. 5. Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. Is she right to tell her mother sold 87. 5% of what she sold?

REMEMBER Rate is the number written with the word “percent”. It is express in percent form. Base is the total or whole and it is the number that usually follows the phrase “percent”. Percentage is the part of the whole. Techan’s Triangle is also used in identifying rate, base and percentage

ANSWER THE LEARNING ACTIVITY SHEETS Decimal 0. 45 0. 80 5) 7) 9) Percent 1) 3) 88% 72% 10) Fraction 2) 4) 6) 8) 25/100

1. If 20% of 50 is 10, which of the following is the base? A. 20% B. 50 C. 10 2. If 6 is 30% of 20, which of the following is the rate? A. 6 B. 30% C. 20 3. What is 9% of 200? A. 180 B. 18 C. 1. 8 4. What percent of 1400 is 504? A. 36% B. 48% C. 54% 5. Two hundred is 20% of what number? A. 40 B. 100 C. 1, 000

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