Everyday Math Grade 4 – Lesson 2.7 Addition of Multi-digit Numbers Copyright © 2010 Kelly Mott
Lesson Components: Part 1: Math Boxes 2.7 Page 41 Part 2: Review Part 3: PP Regroup the Ones Part 4: PP Regroup the Tens Part 5: PP Regroup More than Once Part 6: PP Regrouping 4 Digits Part 7: Math Journal 39 Part 8: Math Journal 40 Copyright © 2010 Kelly Mott
Math Boxes Lesson 2.7 Page 41 Copyright © 2010 Kelly Mott
Math Box 1: Copyright © 2010 Kelly Mott
Math Box 2: Copyright © 2010 Kelly Mott
Math Box 3: Copyright © 2010 Kelly Mott
Math Box 4: Copyright © 2010 Kelly Mott
Math Box 5: Copyright © 2010 Kelly Mott
REVIEW Copyright © 2010 Kelly Mott
Name Collection Box 24 1 Copyright © 2010 Kelly Mott
Place Value Helpful Hint: You can think of each period as a family. Copyright © 2010 Kelly Mott
Place Value Practice 1 What number is in the ten’s place? ____________________________ hundred thousand’s place? ________________ ten million’s place? ______________________ thousand’s place? _______________________ 4 6 7 9 5 1 3 2 8 2
Place Value Practice 2 What number is in the hundred’s place? ________________________ hundred million’s place? __________________ ten thousand’s place? ____________________ million’s place? _________________________ 4 6 7 9 5 1 3 2 8 3
Value of a Number Practice 1 Problem #1: 290, 763, 891 What is the 8 worth? ___________________________ Problem#2: 856, 742, 121 What is the 7 worth? ___________________________ Problem#3: 260, 158, 403 What is the 6 worth? ___________________________ 4 Copyright © 2010 Kelly Mott
Expanded Form Practice 1 Problem 1: 116,350,601 __________________ + __________________ + __________________ Problem 2: 800,935,022 __________________ + __________________ 5 Copyright © 2010 Kelly Mott
LOOK AT THE DATA: 3 5 6 6 9 9 11 11 11 What is the maximum? _________________________________________________________ What is the minimum? 3. What is the range (maximum – minimum)? 4. What is the mode (most frequent) ? 5. What is the median (middle number)? 6 Copyright © 2010 Kelly Mott
THREE DIGIT ADDITION REGROUP THE ONES Copyright © 2010 Kelly Mott
Understanding Regrouping the Ones When we add, we start with the ones column. 8 + 3 = 11 We can think of 11 as: We can also think of 11 463 + 118 __________________ 7 Copyright © 2010 Kelly Mott
Understanding Regrouping the Ones Let’s look at another problem. Start with the ones. 9 + 4 = 13 We can think of 13 as: We can also think of 13 224 + 219 __________________ 8 Copyright © 2010 Kelly Mott
Understanding Regrouping the Ones Let’s look at one more problem. Start with the ones. 8 + 9 = 17 We can think of 17 as: We can also think of 17 448 + 249 __________________ 9 Copyright © 2010 Kelly Mott
Understanding Regrouping the Ones When we add, we start with the ones column. 6 + 5 = 11 We can think of 11 as: We can also think of 11 as: 236 + 145 __________________ 10 Copyright © 2010 Kelly Mott
Understanding Regrouping Here’s a quick video to reinforce what we just learned: http://streaming.discoveryeducation.com/braingames/iknowthat/Video/VideoPlayer.htm?VID=../Dojo/Video/DoubleDigitAdditionWithRenaming.flv&SWF=Dojo&COL=#2c143e&W=400&H=420 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
428 + 166 467 + 124 Regrouping Ones A. B. __________________ 11 + 166 __________________ A. 467 + 124 __________________ B. 11 Copyright © 2010 Kelly Mott
354 + 338 452 + 139 Regrouping Ones C. D. __________________ 12 + 338 __________________ C. 452 + 139 __________________ D. 12 Copyright © 2010 Kelly Mott
842 + 109 323 + 259 Regrouping Ones E. F. __________________ 13 + 109 __________________ E. 323 + 259 __________________ F. 13 Copyright © 2010 Kelly Mott
627 + 259 648 + 237 Regrouping Ones G. H. __________________ 14 + 259 __________________ G. 648 + 237 __________________ H. 14 Copyright © 2010 Kelly Mott
137 + 323 529 + 143 Regrouping Ones I. J. __________________ 15 + 323 __________________ I. 529 + 143 __________________ J. 15 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
SUPPLEMENTAL: ORANGE MATH STEPS PAGES 39-40 HOMEWORK SUPPLEMENTAL: ORANGE MATH STEPS PAGES 39-40 Copyright © 20010Kelly Mott
Copyright © 2010 Kelly Mott
THREE DIGIT ADDITION REGROUP THE TENS Copyright © 2010 Kelly Mott
Understanding Regrouping the Tens When we add, we start with the ones column. 4 + 1 = 5 ones We don’t have to regroup because 5 is a SINGLE DIGIT! Then add the tens. 6 + 7 = 13 tens We can think of 13 tens as: We can also think of 13 tens as: 261 + 174 __________________ 16 Copyright © 2010 Kelly Mott
Understanding Regrouping the Tens When we add, we start with the ones column. 2 + 1 = 3 ones We don’t have to regroup because 3 is a SINGLE DIGIT! Then add the tens. 7 + 8 = 15 tens We can think of 15 tens as: We can also think of 15 tens as: 372 + 281 __________________ 17 Copyright © 2010 Kelly Mott
Understanding Regrouping the Tens When we add, we start with the ones column. 2 + 5 = 7 ones We don’t have to regroup because 7 is a SINGLE DIGIT! Then add the tens. 9 + 3 = 12 tens We can think of 12 tens as: We can also think of 12 tens as: 532 + 195 __________________ 18 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
164 + 382 462 + 271 Regrouping Tens A. B. __________________ 19 + 382 __________________ A. 462 + 271 __________________ B. 19 Copyright © 2010 Kelly Mott
343 + 181 452 + 272 Regrouping Tens C. D. __________________ 20 + 181 __________________ C. 452 + 272 __________________ D. 20 Copyright © 2010 Kelly Mott
394 + 245 __________________ 432 + 193 Regrouping Tens E. F. 21 Copyright © 2010 Kelly Mott
481 + 162 526 + 392 Regrouping Tens G. H. __________________ 22 + 162 __________________ G. 526 + 392 __________________ H. 22 Copyright © 2010 Kelly Mott
364 + 152 497 + 212 Regrouping Tens I. J. __________________ 23 + 152 __________________ I. 497 + 212 __________________ J. 23 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
SUPPLEMENTAL: ORANGE MATH STEPS PAGES 41-42 HOMEWORK SUPPLEMENTAL: ORANGE MATH STEPS PAGES 41-42 Copyright © 2010 Kelly Mott
Copyright © 2010 Kelly Mott
THREE DIGIT ADDITION REGROUP MORE THAN ONCE Copyright © 2010 Kelly Mott
Understanding Regrouping More Than Once 8 + 3 = 11 ones We can think of 11 ones as: We can also think of 11 ones as: 1 + 6 + 5 = 12 tens We can think of 12 tens as: We can also think of 12 tens as: 268 + 153 __________________ 24 Copyright © 2010 Kelly Mott
Understanding Regrouping More Than Once 8 + 3 = 10 ones We can think of 10 ones as: We can also think of 10 ones as: 1 + 8 + 5 = 14 tens We can think of 14 tens as: We can also think of 14 tens as: 388 + 152 __________________ 25 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
Regrouping More than Once 437 + 396 __________________ A. 275 + 478 __________________ B. 26 Copyright © 2010 Kelly Mott
Regrouping More than Once 283 + 199 __________________ C. 569 + 364 __________________ D. 27 Copyright © 2010 Kelly Mott
Regrouping More than Once 468 + 485 __________________ E. 189 + 436 __________________ F. 28 Copyright © 2010 Kelly Mott
Regrouping More than Once 698 + 257 __________________ G. 279 + 268 __________________ H. 29 Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
SUPPLEMENTAL: ORANGE MATH STEPS PAGES 43-44 HOMEWORK SUPPLEMENTAL: ORANGE MATH STEPS PAGES 43-44 Copyright © 20010Kelly Mott
Copyright © 2010 Kelly Mott
FOUR DIGIT ADDITION REGROUP MORE THAN ONCE Copyright © 2010 Kelly Mott
4,896 1,524 1,383 2,647 + + A. B. Four Digit Addition 30 Copyright © 2010 Kelly Mott
2,383 1,642 5,978 2,632 + + C. D. Four Digit Addition 31 Copyright © 2010 Kelly Mott
2,383 1,642 5,978 2,632 + + C. D. Four Digit Addition 32 Copyright © 2010 Kelly Mott
SUPPLEMENTAL: ORANGE MATH STEPS PAGES 57-58 HOMEWORK SUPPLEMENTAL: ORANGE MATH STEPS PAGES 57-58 Copyright © 20010Kelly Mott
Everyday Math Journal Page: 39 HOMEWORK Everyday Math Journal Page: 39 Copyright © 20010Kelly Mott
Everyday Math Journal Page: 40 HOMEWORK Everyday Math Journal Page: 40 Copyright © 20010Kelly Mott
Copyright © 2010 Kelly Mott