Estimation Challenge: How Many Pencil Sharpeners Are in the Cup?

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In this estimation challenge, you are given clues to deduce the number of pencil sharpeners in a cup. By applying logic and estimation techniques, narrow down the possibilities and make your best guess. After considering clues like the answer being greater than 5 and less than 18, and certain digits not being present, arrive at a final estimate before the reveal. Test your math skills and reasoning in this engaging activity by Steve Wyborney.


Uploaded on Sep 19, 2024 | 0 Views


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  1. Pencil Sharpener Shapes Important Note: If you can see this box, then the slide show is not playing and the reveal won t work. Here is the solution: If you are using PowerPoint, click on Slide Show, then click on From Current Slide. If you are using Google Slides, click on View then Present. Steve Wyborney www.stevewyborney.com

  2. How many pencil sharpeners are in the cup? As the clues appear, use the information to narrow the possibilities to a smaller set. After each clue, use estimation again to determine which of the remaining answers is the most reasonable. Write down your first estimate. After each clue, you ll see if your estimate is still a possibility. After each clue, if it is no longer possible write down a new estimate and be prepared to explain why you chose it. Steve Wyborney www.stevewyborney.com

  3. Clue #1 Clue #1 The answer is greater than 5. Clue #2 Clue #2 The answer is less than 18. Clue #3 Clue #3 The digit 7 is not in the answer. Clue #4 Clue #4 The answer includes the digit 6. 1 11 11 11 11 11 1 1 1 1 2 12 12 12 12 12 2 2 2 2 3 13 13 13 13 13 3 3 3 3 4 14 14 14 14 14 4 4 4 4 5 15 15 15 15 15 5 5 5 5 6 16 16 16 16 16 6 6 6 6 7 7 7 7 7 8 18 18 18 18 18 8 8 8 8 9 19 19 19 19 19 9 9 9 9 10 10 10 10 10 20 20 20 20 20 17 17 17 17 17 Steve Wyborney www.stevewyborney.com

  4. After seeing the clues, you have narrowed the possibilities to a small set of numbers. Before you see the answer, select your final estimate. Write it down, and explain to someone why you chose that number. Steve Wyborney www.stevewyborney.com

  5. 16 The Reveal Click to see the answer. pencil sharpeners Important Note: If you can see this box, then the slide show is not playing and the reveal won t work. Here is the solution: If you are using PowerPoint, click on Slide Show, then click on From Current Slide. If you are using Google Slides, click on View then Present. Steve Wyborney www.stevewyborney.com

  6. New Materials for 2023-2024 The Mystery Number in the Box 60-Second Math Mystery Videos View the entire playlist here. How do I subscribe to the mailing list? Sign Up Here 100 New Esti-Mysteries Daily Resources Posted in the 2022-2023 School Year The Multiplication Advantage! Ask your school to purchase a copy for every student in your class. Learn more here. More Estimation Clipboards (2021-2022) 150 New Esti-Mysteries The 3-Container Estimation Routine 170 New Esti-Mysteries More Free, Downloadable Resources From Blog Posts C:\Users\Steve Wyborney\Desktop\20 Days Title Pic.jpg C:\Users\Steve Wyborney\Desktop\SPLAT blog post folder\Splat Promo Images and GIFs\Splat Level 3 B.jpg C:\Users\Steve Wyborney\Desktop\Splat Promos HUGE SET\Slide6.JPG C:\Users\Steve Wyborney\Desktop\Presentation1.jpg C:\Users\Steve Wyborney\Desktop\8.8.2018 Desktop\Estimation Clipboard Desktop Materials\Bundle 1 Glasses Pic.jpg 20 Days of Number Sense Rich Math Talk 51 Esti-Mysteries The Original 50 Splat! Lessons 20 Days of Number Sense & Rich Math Talk 51 Esti-Mysteries The Original 40 Estimation Clipboard Sets 80 Cube Conversations Lessons The Original 20 Fraction Splat! Lessons The Multiplication Course (the free course for students and teachers, posted in 2020) For more information read the blog post about The Multiplication Course here. To view the course on YouTube: 1. Click here to see the chapter playlists on my YouTube channel. 2. You ll see all 12 chapters in the course. 3. Each chapter includes a sequence of lessons for students.

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