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Explore advanced 3D cube structures with visual solutions and prompts. Enhance mathematical thinking and encourage collaborative discussions. Download printable materials for engaging learning experiences.
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20 Days of Number Sense & Rich Math Talk #20DaysNS Steve Wyborney www.stevewyborney.com
Advanced Cube Conversations Answer Set Days 16-20 #20DaysNS Steve Wyborney
Answers and Visual Solution Prompts for Advanced Cube Conversations (Days 16-20) The Answers to the Advanced Cube Conversations (Days 16-20) are found on these slides. In addition, I’m sharing a sampling of my notes here so you can see a couple of the ways I’ve approached the solutions. I’m only posting enough of each solution pathway to show an example and to prompt discussion. You might find the images which are partially completed to be compelling visuals for discussion. Remember that you can download the printable Cube Conversations Book from this page on my blog. The printable pages will provide your students with plenty of space to approach these tasks in a wide variety of ways. One your students write, they will have a rich opportunity to describe their math thinking to each other. Enjoy the journey and feel free to share your learning experiences with others! You can find me on Twitter @stevewyborney www.stevewyborney.com Steve Wyborney
“Cube Perspectives” Steve Wyborney
How many unit cubes make up this structure? What do you notice that can help you begin to find out? Use the paper to show your reasoning. You may want to use multiple colors to make your answer more vivid and to clearly detail the steps you take to find out. After you have represented your answer on paper, share your ideas with another person. How many unit cubes make up this structure? www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
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“Approaching the Pyramid” Steve Wyborney
How many unit cubes make up this structure? What do you notice that can help you begin to find out? Use the paper to show your reasoning. You may want to use multiple colors to make your answer more vivid and to clearly detail the steps you take to find out. After you have represented your answer on paper, share your ideas with another person. How many unit cubes make up this structure? www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
133 www.stevewyborney.com Steve Wyborney
“Crowning Achievement” Steve Wyborney
How many unit cubes make up this structure? What do you notice that can help you begin to find out? Use the paper to show your reasoning. You may want to use multiple colors to make your answer more vivid and to clearly detail the steps you take to find out. After you have represented your answer on paper, share your ideas with another person. How many unit cubes make up this structure? www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
1 1 2 2 3 3 1 1 4 4 2 2 5 3 3 1 1 4 2 2 3 3 1 1 4 2 2 3 1 1 2 2 3 1 1 2 1 1 2 1 1 www.stevewyborney.com Steve Wyborney
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“Diamond in the Rough” www.stevewyborney.com Steve Wyborney
How many unit cubes make up this structure? What do you notice that can help you begin to find out? Use the paper to show your reasoning. You may want to use multiple colors to make your answer more vivid and to clearly detail the steps you take to find out. After you have represented your answer on paper, share your ideas with another person. How many unit cubes make up this structure? www.stevewyborney.com Steve Wyborney
2 3 4 1 2 5 3 4 1 2 3 1 2 www.stevewyborney.com Steve Wyborney
www.stevewyborney.com Steve Wyborney
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“Pattern to a T” Steve Wyborney
How many unit cubes make up this structure? What do you notice that can help you begin to find out? Use the paper to show your reasoning. You may want to use multiple colors to make your answer more vivid and to clearly detail the steps you take to find out. After you have represented your answer on paper, share your ideas with another person. How many unit cubes make up this structure? www.stevewyborney.com Steve Wyborney
4 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 1 1 www.stevewyborney.com Steve Wyborney
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 2 3 3 4 4 2 5 5 5 5 3 3 4 4 5 5 6 6 www.stevewyborney.com Steve Wyborney
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20 Days of Number Sense & Rich Math Talk by Steve Wyborney Click here or on the image to view the next set of resources from 20 Days of Number Sense & Rich Math Talk. Other Downloadable Resources From Previous Blog Posts The Original 50 Splat! Lessons The Original Esti-Mysteries The Maze Hundreds Chart The Original 20 Fraction Splat! Lessons The Original 80 Cube Conversations Lessons The Original 40 Estimation Clipboard Sets