1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Learning Objective Name _______________________ Today, we will show common decimal numbers as percents. CFU What are we going to do today? CFU Teacher reads problem #1. Students read problem #2. Students, you already know that place value tells you the value of decimal numbers. Today, we will use our knowledge of the place value of decimal numbers to show them as percents. Read each amount. Activate (or provide) Prior Knowledge onestenthsthousandths hundredths onestenthsthousandths hundredths 1. 2. Seventy-five hundredths Twenty-five hundredths

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Concept Development A percent (%) is a special way of writing fractions with a denominator of 100.  The root word “cent” means hundred.  Percent means “per hundred” or “out of 100.” “Cent” in everyday words. A century is 100 years. There are 100 cents in a dollar. There are 100 centimeters in a meter. = Example: “25 per hundred” 25% “25 per cent” A decimal number represents a whole number and part of a whole number separated by a decimal point.  Numbers can be represented with decimal numbers, words, fractions, and percents.  We often think about decimal numbers and percents in terms of parts of a dollar. Example: Equivalent 1 forms of a number. 1 equal in value Decimal number Read as wordsFractionPercent 0.25 Twenty-five hundredths 25% 0.05 Five hundredths 5%5% $0.25 = 25 cents Which of the following fractions means 30%? How do you know? A. B. Uncle John says he will pay you 90% of a dollar each time you walk his dog. How much money will you earn for walking the dog one time? A. $0.09 B. $0.90 C. $9.00 CFU On her birthday, Grandma Velma became a centenarian. How old do you think she is? How do you know? In your own words, what is a percent? A percent is ________. Which fraction represents the same amount as seventy-five hundredths? A. B. Click here to see how I make equivalent forms of a number 100 years old = Parts of a dollar

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. tenths hundredths onesthousandths “Cent” in everyday words. A century is 100 years. There are 100 cents in a dollar. There are 100 centimeters in a meter. Click to go back to Concept Development. Concept Demonstration

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the denominator? How did you change the fraction to a percent? Show common decimal numbers as percents. 1. Which percent is equal to 0.35? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 3. What percent is equivalent to 0.04? 2. Which percent is equal to 0.45? 4. What percent is equivalent to 0.06? 5. Which percent is equal to 0.8?6. Which percent is equal to 0.7? A. 350% B. 3.5% C. 35% D. 0.35% A. 450% B. 45% C. 4.5% D. 0.45% A. 0.8% B. 8% C. 80% D. 800% A. 700% B. 70% C. 7% D. 0.7% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 035 35 = 35% 0 45 45 = 45% 0 0 4 4 = 4% 00 6 6 = 6% 0 80 80 = 80% 07 0 70 = 70% 0.35 is equal to 35%0.45 is equal to 45% 0.04 is equivalent to 4% 0.06 is equivalent to 6% 0.8 is equal to 80%0.7 is equal to 70% ones tenths hundredths thousandths

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the denominator? How did you change the fraction to a percent? Show common decimal numbers as percents. 7. What percent is equal to 0.1? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 9. Which percent is equivalent to 0.625? 8. What percent is equal to 0.5? 10. Which percent is equivalent to 0.375? 11. What percent is equal to 0.125?12. What percent is equal to 0.875? A. 625% B. 62.5% C. 6.25% D. 0.625% A. 375% B. 0.375% C. 3.75% D. 37.5% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 0 1 0 10 = 10% 0 5 0 50 = 50% 0 12 12.5 = 12.5% 0 87 87.5 = 87.5% 06 2 62.5 = 62.5% 0 3 7 37.5 = 37.5% 5 5 5 5 0.1 is equal to 10%0.5 is equal to 50% 0.625 is equivalent to 62.5% 0.375 is equivalent to 37.5% 0.125 is equal to 12.5%0.875 is equal to 87.5% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” ones tenths hundredths thousandths

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. 1. Showing common decimal numbers as percents helps us understand the percent probability 2 of an event occurring 3. 2 how likely or unlikely it is that something will happen 3 happening CFU Does anyone else have another reason why it is important to show common decimal numbers as percents? (pair-share) Why is it important to show common decimal numbers as percents? You may give one of my reasons or one of your own. Which reason is more important to you? Why? 2. Showing common decimal numbers as percents will help you do well on tests. Michael was told the probability of having the spinner land on the shaded region is 0.40. What percent probability is there that the spinner will land in the shaded region? Importance A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” There is a 40% chance the spinner will land in the shaded region. Sample Test Question: 8. What percent is equal to 0.835 A83.5% B8.35% C0.835% D835%

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Closure 1. Show common decimal numbers as percents below. 2. In your own words, what is a percent? 1. Which percent is equal to 0.65? 2. What percent is equivalent to 0.08? A. 65% B. 650% C. 6.5% D. 0.65% ones tenths hundredths thousandths ones tenths hundredths thousandths 065 65 = 65% 0 08 8 = 8% 0.65 is equal to 65% 0.08 is equivalent to 8% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” What did you learn today about showing common decimal numbers as percents? Day 1 ___________________________________________________________________________________________________ ________________________________________________________________________________________________________ Day 2 ___________________________________________________________________________________________________ ________________________________________________________________________________________________________ A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.”

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Independent Practice Show common decimal numbers as percents. 1. Which percent is equal to 0.17? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 2. What percent is equivalent to 0.02? 3. Which percent is equal to 0.4?4. What percent is equivalent to 0.9? A. 0.17% B. 1.7% C. 17% D. 170% A. 4% B. 0.4% C. 400% D. 40% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 017 17 = 17% 0 40 40 = 40% 0 0 2 2 = 2% 090 90 = 90% 5. Which percent is equal to 0.125? A. 125% B. 0.125% C. 12.5% D. 1.25% ones tenths hundredths thousandths 0 1 2 12.5 = 12.5% 5 6. What percent is equivalent to 0.375? ones tenths hundredths thousandths 0 3 7 37.5 = 37.5% 5 Name ____________________ 0.17 is equal to 17% 0.4 is equal to 40% 0.02 is equivalent to 2% 0.9 is equivalent to 90% 0.125 is equal to 12.5%0.375 is equivalent to 37.5% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” ones tenths hundredths thousandths

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Show common decimal numbers as percents. 1. Which percent is equal to 0.81? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 2. What percent is equivalent to 0.08? 3. Which percent is equal to 0.2?4. What percent is equivalent to 0.3? A. 0.81% B. 81% C. 8.1% D. 810% A. 200% B. 20% C. 2% D. 0.2% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 081 81 = 81% 020 20 = 20% 0 0 8 8 = 8% 0 30 30 = 30% 5. Which percent is equal to 0.875? A. 875% B. 0.875% C. 8.75% D. 87.5% ones tenths hundredths thousandths 0 8 7 87.5 = 87.5% 5 6. What percent is equivalent to 0.625? ones tenths hundredths thousandths 0 62 62.5 = 62.5% 5 Name ____________________ 0.81 is equal to 81% 0.2 is equal to 20% 0.08 is equivalent to 8% 0.3 is equivalent to 30% 0.875 is equal to 87.5% 0.625 is equivalent to 62.5% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” ones tenths hundredths thousandths

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Show common decimal numbers as percents. 1. Which percent is equal to 0.42? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 2. What percent is equivalent to 0.01? 3. Which percent is equal to 0.8?4. What percent is equivalent to 0.5? A. 420% B. 42% C. 4.2% D. 0.42% A. 0.08% B. 8% C. 80% D. 800% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 042 42 = 42% 0 8 0 80 = 80% 001 1 = 1% 0 50 50 = 50% 5. Which percent is equal to 0.375? A. 375% B. 37.5% C. 3.75% D. 0.375% ones tenths hundredths thousandths 03 7 37.5 = 37.5% 5 6. What percent is equivalent to 0.125? ones tenths hundredths thousandths 012 12.5 = 12.5% 5 Name ____________________ 0.42 is equal to 42% 0.8 is equal to 80% 0.01 is equivalent to 1% 0.5 is equivalent to 50% 0.375 is equal to 37.5%0.125 is equivalent to 12.5% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” ones tenths hundredths thousandths

11. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Show common decimal numbers as percents. 1. Which percent is equal to 0.67? A percent (%) is a special way of writing fractions with a denominator of 100. The root word “cent” means hundred. Percent means “per hundred” or “out of 100.” 2. What percent is equivalent to 0.09? 3. Which percent is equal to 0.6?4. What percent is equivalent to 0.1? A. 0.67% B. 6.7% C. 670% D. 67% A. 60% B. 6% C. 0.6% D. 600% ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths ones tenths hundredths thousandths 067 67 = 67% 0 60 60 = 60% 009 9 = 9% 0 1 0 10 = 10% 5. Which percent is equal to 0.625? A. 625% B. 62.5% C. 6.25% D. 0.625% ones tenths hundredths thousandths 06 2 62.5 = 62.5% 5 6. What percent is equivalent to 0.875? ones tenths hundredths thousandths 08 7 87.5 = 87.5% 5 Name ____________________ 0.67 is equal to 67% 0.6 is equal to 60% 0.09 is equivalent to 9% 0.1 is equivalent to 10% 0.625 is equal to 62.5%0.875 is equivalent to 87.5% Step #1: Read the question carefully. Step #2: Change the decimal number into a fraction with a denominator of 100 as follows: a. Place the decimal number in the place value chart. b. If no number fills the hundredths spot, place a zero there. c. Create a fraction with 100 in the denominator and parts per 100 in the numerator. Step #3: Change the fraction into a percent. Step #4: Interpret the percent. “____ is equivalent/equal to ____.” ones tenths hundredths thousandths

12. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 1.2 (5Q) 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. Lesson to be used by EDI-trained teachers only. Blank Page