5th Grade - Percentages

 
     
 
     
 
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5th
Fractions, Percentages and Decimals
Percentages
Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Know that percents, decimals and fractions are all equivalents and be able to explain why. Also, be able to find the percent of a whole number.
 

Sample Problems

(1)

What are the steps to find the percent of a given whole number (turn the percent into a fraction and multiply by the whole number.)

(2)

Find 12% of 95 (11.4)

(3)

Find 30% of 250 (75)

(4)

Find 28% of 54 (15.12)

(5)

Find 50% of 797 (398.5)

Learning Tips

(1)

An old student of mine did this with her mother one year, and they had a blast (and her understanding improved too). Each day of school she and her mother wrote down the fraction, percent and decimal equivalent of the day. First day = 1/100 = .01 = 1%. Second day = 2/100 = .02 = 2%. They put the sticky notes on the fridge in numerical order and after about the 40th day their fridge was covered with numbers, and the concept was really ingrained in her head.

(2)

Talking to your child while cooking is one of the easiest ways to demonstrate fraction/decimal/percent equivalents in “real life.” Ask your child to fill up the measuring cup with ½ a cup of water, use 50% of a bag of chocolate chips and .50 of the stick of butter. Just from hearing you use the words interchangeably they will learn about equivalency.

(3)

Find the tip for dinner at a restaurant. There are a bunch of different ways to do that and showing your child how you move the decimal and double it in your head, or double the tax, or whichever is a great application of this standard.

(4)

When you are standing around waiting in line, or sitting at the airport, there are many other people there doing the same thing. That is a great time to “play” with your child. Ask them what percentage of the 6 people ahead of you in line are women, or how many of the 15 people sitting on this bench are wearing glasses. It helps pass the time in a non-threatening math exercise.

(5)

Before ordering a pizza, ask your child to figure out the percentage of pieces that will have certain toppings on them. Then make them equivalents in decimals and fractions. For example, “My family wants 12/15 pieces of pepperoni and 1/5 pieces of mushroom. That’s 20% mushroom and .20 mushroom slices.”

Extra Help Problems

(1)

What is the decimal equivalent to 65%? (.65)

(2)

What is the decimal equivalent to 73%? (.73)

(3)

What is the decimal equivalent to 21%? (.21)

(4)

What is the decimal equivalent to 2/5? (.40)

(5)

What is the decimal equivalent to 1/8? (.125)

(6)

What is the fraction equivalent to 75%? (3/4)

(7)

What is the fraction equivalent to .33? (1/3)

(8)

What is the fraction equivalent to .25? (1/4)

(9)

What is the fraction equivalent to 60%? (3/5)

(10)

What is the fraction equivalent to .20? (1/5)

(11)

What is the percentage equivalent to 3/5? (60%)

(12)

What is the percentage equivalent to ¾? (75%)

(13)

What is the percentage equivalent to .66? (66%)

(14)

What is the percentage equivalent to .40? (40%)

(15)

What is the percentage equivalent to .75? (75%)

(16)

Find 15% of 60 (9)

(17)

Find 25% of 375 (93.75)

(18)

Find 90% of 210 (189)

(19)

Find 66% of 70 (46.2)

(20)

Find 5% of 300 (15)

 

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