LearnZillion Illustrative Mathematics

Grade 6

Unit 9

Adapted from Open Up Resources under Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0 

All adaptations copyright LearnZillion, 2018 

This book includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.  

Some images have been created with GeoGebra (www.geogebra.org). 

https://creativecommons.org/licenses/by/4.0

ContributorsWriting Team

Susan Addington

Ashli Black, Grade 8 Lead

Alicia Chiasson

Mimi Cukier

Nik Doran, Engineering Lead

Lisa Englard

Sadie Estrella

Kristin Gray

Donna Gustafson

Arias Hathaway

Bowen Kerins, Assessment Lead

Henry Kranendonk

Brigitte Lahme

Chuck Larrieu Casias

William McCallum, Shukongojin

Cam McLeman

Michelle Mourtgos, Grade 7 Lead

Mike Nakamaye

Kate Nowak, Instructional Lead

Roxy Peck, Statistics Lead

David Petersen

Sarah Pikcilingis

Liz Ramirez, Supports Lead

Lizzy Skousen

Yenche Tioanda, Grade 6 Lead

Kristin Umland, Content Lead

Supports for Students with Special Needs

Bridget Dunbar

Andrew Gael

Anthony Rodriguez

Supports for English Language Learners

Vinci Daro

Jack Dieckmann

James Malamut

Sara Rutherford-Quach

Renae Skarin

Steven Weiss

Jeff Zwiers

Digital Activities Development

Jed Butler

John Golden

Carrie Ott

Jen Silverman, Lead

Copy Editing

Emily Flanagan

Carolyn Hemmings

Tiana Hynes

Cathy Kessel, Lead

Nicole Lipitz

Robert Puchalik

Project Management

Aubrey Neihaus

Olivia Mitchell Russell, Lead

Engineering

Dan Blaker

Eric Connally

Jon Norstrom

Brendan Shean

Teacher Professional Learning

Vanessa Cerrahoglu

Craig Schneider

Jennifer Wilson

Alt Text

Donna Gustafson

Kia Johnson-Portee, Lead

Deb Barnum

Gretchen Hovan

Mary Cummins

Image Development

Josh Alves

Rob Chang

Rodney Cooke

Tiffany Davis

Jessica Haase

Christina Jackyra, Lead

Caroline Marks

Megan Phillips

Siavash Tehrani

Support Team

Madeleine Lowry

Nick Silverman

Melody Spencer

Alex Silverman

Hannah Winkler

Table of Contents

Unit 9: Putting it All Together

Lesson 1: Fermi Problems………………………………………........................258

Lesson 2: If Our Class Were the World……………..…………………..........259

Lesson 3: Rectangle Madness……………………………………………............261

Lesson 4: How Do We Choose…………………………………………..............274

Lesson 5: More than Two Choices…………………………………................277

Lesson 6: Picking Representatives………………………………………..........288

Unit 9 258 Lesson 1

Unit 9 259 Lesson 2

Unit 9 260 Lesson 2

Unit 9 261 Lesson 3

Unit 9 262 Lesson 3

Unit 9 263 Lesson 3

Unit 9 264 Lesson 3

Unit 9 265 Lesson 3

Unit 9 266 Lesson 3

Unit 9 267 Lesson 3

Unit 9 268 Lesson 3

Unit 9 269 Lesson 3

Unit 9 270 Lesson 3

Unit 9 271 Lesson 3

Unit 9 272 Lesson 3

Unit 9 273 Lesson 3

Unit 9 274 Lesson 4

Unit 9 275 Lesson 4

Unit 9 276 Lesson 4

Unit 9 277 Lesson 5

Unit 9 278 Lesson 5

Unit 9 279 Lesson 5

Unit 9 280 Lesson 5

d. their last choice?

Voting System #2. Runoff. If no choice received a majority of the votes, leave out the

choice that received the fewest first-choice votes (star). Then have another vote. If your

first vote is still a choice, vote for that. If not, vote for your second choice that you wrote

down.

4. After the second round of voting, did any choice get a majority? If so, is it the same

choice that got a plurality in Voting System #1?

If there is still no majority, leave out the choice that got the fewest votes, and then

vote again. Vote for your first choice if it's still in, and if not, vote for your second

choice. If your second choice is also out, vote for your third choice.

5. Which choice won?

6. How satisfied were the voters by the election results? For how many, and what

percentage, of people was the winning option:

a. their first choice?

b. their second choice?

Unit 9 281 Lesson 5

Unit 9 282 Lesson 5

Unit 9 283 Lesson 5

Unit 9 284 Lesson 5

Unit 9 285 Lesson 5

Unit 9 286 Lesson 5

Unit 9 287 Lesson 5

Unit 9 288 Lesson 6

Unit 9 289 Lesson 6

Unit 9 290 Lesson 6

Unit 9 291 Lesson 6

Unit 9 292 Lesson 6

Unit 9 293 Lesson 6

Unit 9 294 Lesson 6

Unit 9 295 Lesson 6

Unit 9 296 Lesson 6

Unit 9 297 Lesson 6

Unit 9 298 Lesson 6

Unit 9 299 Lesson 6

Unit 9 300 Lesson 6

Unit 9 301 Lesson 6

Unit 9 302 Lesson 6

Unit 9 303 Lesson 6

Licensing and attribution for images appearing in this unit appears below.

Additional Attribution: ‘Notice and Wonder’ and ‘I Notice/I Wonder’ are trademarks of the National Council of Teachers of Mathematics, reflecting approaches developed by the Math Forum (http://mathforum.org), and used here with permission.

Lesson 6.2: Choose a Mascot (Part 1), “Pawsox mascot” by Paul Keleher via Wikimedia Commons. CC BY 2.0. https://commons.wikimedia.org/wiki/File:Pawsox_mascot.jpg

Image Attribution

Binder8.pdfBinder7.pdfBinder6.pdfIM Unit Title Page(2).pdfBinder5.pdfIM Gr 6, 7-9.pdf

IM Student Workbooks Table of Contents(3).pdfAcr119842766385984-28457135.tmp

Acr119842766385984-31546148.tmpAcr119842766385984-3067141.tmp

Acr119842766385984-31546148.tmpAcr119842766385984-3067141.tmp

Acr119842766385984-31546148.tmpAcr119842766385984-3067141.tmpCopy of IM Student Workbooks Table of Contents(4).pdfAcr119842766385984-3067141.tmp

Acr119842766385984-31546148.tmpAcr119842766385984-31546148.tmpAcr119842766385984-31546148.tmpAcr119842766385984-31546148.tmpCopy of IM Student Workbooks Table of Contents(5).pdfAcr119842766385984-31546148.tmp