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1. 1. Learning Objective Name __________________________We will compute1 a percent of a whole number.1 find the answer mathematicallyCFUWhat are we going to do?What does compute mean? Compute means _______.Activate (or provide) Prior KnowledgeA percent (%) is part of 100. 25 • A percent can also be written in decimal form. 25% = = 0 25 100 ones tenths hundredths Convert the percent to a decimal number. 1. 48% = 48 = 2. 72% = 72 = 100 0 4 8 100 0 7 2 ones tenths hundredths ones tenths hundredths Use a shortcut to convert the percent to a decimal number.3. 50% = 0.5 . 4. 80% = 0.8 .CFUStudents, you know that a percent can be written as a decimal number. Now, we will use this skill to compute a percent of a wholenumber. 5th Grade Number Sense 1.2 (5Q)DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the©2012 All rights reserved. same value; compute a given percent of a whole number.Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
2. 2. Concept DevelopmentA percent (%) is part of 100.A percent of a whole number is a part of a whole number.• To compute the percent of a whole number, multiply the whole number by the percent’s decimal form.Percent of a Whole Number Keywords of means × 50% of 240 is 120 is means = percent whole percent of the number whole number 20%is 12 5% is 48 Percent Problem Compute As % of Whole Number 50% is 120 50% of 240 240 × 0.50 120 100% 240 20% of 240 240 × 0.20 48 5% of 240 240 × 0.05 12CFUWhich is the correct way to compute 25% of 80? How do you know? A 80 × 25 B 80 × 0.25You are trying to compute 65% of 400. Without computing the problem, which of the following would be true of your solution?How do you know? A The solution will be greater than 400 B The solution will be less than 400In your own words, what is a percent of a whole number? A percent of a whole number is ______________. 5th Grade Number Sense 1.2 (5Q)DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the©2012 All rights reserved. same value; compute a given percent of a whole number.Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
3. 3. Skill Development/Guided PracticeA percent (%) is part of 100.A percent of a whole number is a part of a whole number. KeywordsCompute a percent of a whole number. of means Step #1: Read the problem and identify2 the percent. (circle) Step #2: Compute the percent of the whole number as follows: is means = a. Find the decimal form of the percent. b. Multiply the whole number by the decimal form. Step #3: Interpret3 the percent of the whole number. “____ is ___% of ____” 2 find (synonym) 3 explain (synonym) 1. What is 20% of 30? 2. What is 30% of 40? 30 40 20% = .20 x .2 30% = .30 x .3 6.0 12.0 6 is 20% of 30 12 is 30% of 40 3. What is 90% of 180? 7 4. What is 70% of 160? 4 180 160 90% = .90 x .9 70% = .70 x .7 16 2.0 112.0 162 is 90% of 180 112 is 70% of 160CFU(#2) How did I/you compute the percent of the whole number?(#3) How did I/you interpret the percent of the whole number? 5th Grade Number Sense 1.2 (5Q)DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the©2012 All rights reserved. same value; compute a given percent of a whole number.Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.
4. 4. Skill Development/Guided Practice (continued)A percent (%) is part of 100.A percent of a whole number is a part of a whole number. KeywordsCompute a percent of a whole number. of means Step #1: Step #2: Read the problem and identify the percent. (circle) Compute the percent of the whole number as follows: is means = a. Find the decimal form of the percent. b. Multiply the whole number by the decimal form. Step #3: Interpret the percent of the whole number. “____ is ___% of ____” 5. What is 2% of 150? 1 6. What is 5% of 180? 4 150 180 2% = .02 x .02 5% = .05 x .05 3.0 0 3 is 2% of 150 9 is 5% of 180 9.00CFU(#2) How did I/you compute the percent of the whole number?(#3) How did I/you interpret the percent of the whole number? 5th Grade Number Sense 1.2 (5Q)DataWORKS Educational Research Interpret percents as a part of a hundred; find decimal and percent(800) 495-1550 • www.dataworks-ed.com equivalents for common fractions and explain why they represent the©2012 All rights reserved. same value; compute a given percent of a whole number.Comments? feedback@dataworks-ed.com Lesson to be used by EDI-trained teachers only.