1. Today we will review “Percents”
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2. Let’s Warm up: 1) ¾ x ¼ = 2) 3/5 ÷ 1/4 = 3) 5/6 x 2/5 = 4) ½ ÷ ¾ =
4) ½ ÷ ¾ =
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3. Modeling Percents
A percent (%) is a ratio that compares a number to 100
75% = 75 out of 100
Use a 10 x 10 grid to model percents
Example: Model 18%
18% means 18 out of 100
So, shade 18 out of the 100 squares
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4. Your Turn!
Model 75%
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5. Modeling Percents Identify a percent that is modeled
There are 40 out of 100 squares shaded
So, the model shows 40%
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6. Your Turn!
Identify the percent modeled.
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7. Percents & Fractions
All percents can be written as fractions in simplest form
To write a percent as a fraction,
Write the percent as a fraction with a denominator as 100
Then simplify
Write 50% as a fraction in simplest form
50% means 50 out of 100
Write the percent as a fraction with a denominator of 100
Simplify. Divide the numerator and the denominator by the GCF, 50
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8. Percents & Fractions Write 125% as a fraction in simplest form
125% means 125 for every 100
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9. Your Turn! Write 10% as a fraction. Write 135% as a fraction.
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10. Percents & Fractions Write a Fraction as a Percent
Write 9/10 as a percent
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11. Your Turn!
Write 3/5 as a percent
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12. Percents & Decimals Percents can be written as a decimal
To write a percent as a decimal
Rewrite the percent as a fraction with a denominator of 100
Then write the fraction as a decimal
Write 56% as a decimal
Shortcut: Move the decimal point two places to the left, which is the same as dividing by 100
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13. Your Turn!
Write 0.3% as a decimal
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14. Percents & Decimals To write a decimal as a percent
Write the decimal as a fraction whose denominator is 100
Then write the fraction as a percent
Write 0.38 as a percent
0.38 = 38/ Write the decimal as a fraction
= 38% Write the fraction as a percent
Shortcut: Move the decimal place two places to the right, which is same as multiplying by 100
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15. Your Turn!
Write as a percent
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16. Percent of a Number To find the percent of a number Find 5% of 300
Write the percent as a fraction and then multiply or
Write the percent as a decimal and then multiply
Find 5% of 300
Method 1: Write the percent as a fraction
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17. Percent of a Number Use a model to check the answer.
Method 2: Write the percent as a decimal
Use a model to check the answer.
The model confirms that 5% of 300 is 15 0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100% 30 60 90
120
150
180
210
240
270
300
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18. Your Turn!
Find 120% of 75.
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19. Estimating with Percents
Sometimes when finding the percent of a number, an exact number is not needed
So, you can estimate
Commonly used Percents and their Fraction equivalents
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20. Estimating with Percents
Estimate 52% of 298
52% is close to 50% or ½
Round 298 to 300
½ of 300 is 150
So, 52% of 298 is about 150
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21. Your Turn!
Estimate 60% of 27
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22. Let us take a break!
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23. Let us see how much you score on this one!
Game
Let us see how much you score on this one!
Click me
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24. Assessment
Model 8%
Identify the percent modeled.
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25. Assessment Write 97% as a fraction in simplest form.
Write 3/5 as a percent.
Write 32% as a decimal.
Write 0.47 as a percent.
Find 55% of 160.
Estimate 48% of $76
Ian used 35% of his allowance to buy a book. If Ian received $20 for his allowance, how much did he use to buy the book?
Melissa bought a sweatshirt that originally cost $30. If the sweatshirt was on sale for 25% off, what was the discount?
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26. Good Job!
You have learned a lot today!!!
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