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percent percent Presentation Transcript

  • 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.
  • 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.
  • 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.
  • 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.
  • RelevanceA percent (%) is part of 100.A percent of a whole number is a part of a whole number.1. Computing the percent of a whole number will 2. Computing a percent of a whole help you determine the tip when dining out. number will help you do well on tests. Katrina took her friend to lunch and paid for the meal plus tip. The meal cost $30 and Katrina decided to leave a 15% tip. How much money did Katrina leave as a tip? Katrina left a $4.50 tip.CFUDoes anyone else have another reason why it is relevant to compute a percent of a whole number? (pair-share) Why is it relevant tocompute a percent of a whole number? You may use one of my reasons or one of your own. Which reason is more relevant to you? Why? 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.
  • A percent (%) is part of 100. A percent of a whole number is a part of a whole number. Skill Closure KeywordsCompute a percent of a whole number Step #1: Read the problem and identify the percent. (circle) of means = Step #2: Compute the percent of the whole number as follows: a. Find the decimal form of the percent. is means b. Multiply the whole number by the decimal form. Step #3: Interpret the percent of the whole number. “____ is ___% of ____” 1.What is 60% of 75? 3 2. What is 8% of 100? 75 100 60% = .60 x .6 8% = .08 x .08 45.0 8.00 45 is 60% of 75 8 is 8% of 100Constructed Response Closure When computing 75% of 60, which of the following is true? Explain your answer. A The solution will be greater than 60 ______________________________________________________ B The solution will be less than 60 ______________________________________________________ Summary ClosureWhat did you learn today about computing a percent of a whole number?Day 1 ___________________________________________________________________________________________________Day 2 ___________________________________________________________________________________________________ 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.
  • Independent Practice Name __________________________A percent (%) is part of 100.A percent of a whole number is a part of a whole number. Keywords of meansCompute a percent of a whole number. 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 ____” 1. What is 60% of 25? 3 2. What is 30% of 65? 1 25 65 x .6 30% = .30 x .3 60% = .60 15 .0 19. 5 15 is 60% of 25 19.5 is 30% of 65 3. What is 80% of 210? 4. What is 4% of 120? 210 120 80% = .80 x .8 x .04 4% = .04 16 8.0 4.8 0 168 is 80% of 210 4.8 is 4% of 120 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.
  • Independent Practice (continued)A percent (%) is part of 100.A percent of a whole number is a part of a whole number. Keywords of meansCompute a percent of a whole number. 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 5% of 140? 2 6. What is 4% of 160? 140 2 x .05 4% = .04 160 5% = .05 x .04 7. 0 0 6.4 is 4% of 160 6.4 0 7 is 5% of 140 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.
  • Periodic Review 1 Name __________________________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 ____” 1. What is 50% of 18? 4 2. What is 20% of 85? 1 18 85 x .5 20% = .20 x .2 50% = .50 9.0 17.0 9 is 50% of 18 17 is 20% of 85 3. What is 70% of 210? 4. What is 8% of 120? 1 210 120 70% = .70 x .7 x .08 8% = .08 . 9.6 0 1470 147 is 70% of 210 9.6 is 8% of 120 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.
  • Periodic Review 2 Name __________________________A percent (%) is part of 100.A percent of a whole number is a part of a whole number. Keywords of meansCompute a percent of a whole number. 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 ____” 1. What is 30% of 22? 4 2. What is 10% of 75? 22 75 x .3 10% = .10 x .1 30% = .30 6.6 7.5 6.6 is 30% of 22 7.5 is 10% of 75 3. What is 80% of 310? 4. What is 6% of 55? 3 310 55 80% = .80 x .8 x .06 6% = .06 3.3 0 24 8.0 248 is 80% of 310 3.3 is 6% of 55 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.
  • Periodic Review 3 Name __________________________A percent (%) is part of 100.A percent of a whole number is a part of a whole number. Keywords of meansCompute a percent of a whole number. 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 ____” 1. What is 20% of 35? 1 2. What is 40% of 105? 2 35 105 x .2 40% = .40 x .4 20% = .20 7.0 4 2.0 7 is 20% of 35 42 is 40% of 105 3. What is 60% of 246? 4. What is 2% of 329? 1 23 246 329 60% = .60 x .6 x .02 2% = .02 6.5 8 . 1476 147.6 is 60% of 246 6.58 is 2% of 329 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.
  • EDI – Cognitive, Teaching and English Learners Strategies Learning Objective : We will compute a percent of a whole number. Cognitive Strategies Teaching Strategies Elaboration Demonstration Targeted vocabulary: compute, percent, identify, interpret Language Strategies Academic compute, identify, interpret Vocabulary Words Content percent Support Multiple-Meaning Vocabulary Synonym identify, interpret Strategy Definition compute, percent Homophone Internal Context Clue Listen, Speak Similar Sounds Tracked Reading Read Decoding Rules Write Writing Content Access Strategies Comprehensible Input Cognates Graphic Organizer Contextualized Contextual Clues Definitions Pictures 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.