A structured sequence of lessons focused on mastering multi-digit addition using the US Standard Algorithm, starting from no regrouping and progressing to single and multiple regroupings, supported by place-value charts.
A proficient student response must state:
1. The 1 in 17 (or 17 in \( 582 + 17 \)) is in the Tens place. The 8 in 582 is also in the Tens place.
2. Therefore, they must align in the same column so that you are adding Tens to Tens. Adding 1 (Ten) to 5 (Hundreds) would incorrectly treat 10 as if it were 100.
Grade 5 Math Resources • Teacher Answer Key Page 2 of 2
Standard Column Addition
Regrouping Mastery
Your Goal: Solve using the standard algorithm only. Rewrite each problem vertically and line up your columns. Make sure to record your regrouped 1.
5. Solve: \( 29 + 153 \) 2-Digit + 3-Digit
6. Solve: \( 346 + 425 \)
7. Solve: \( 654 + 218 \)
8. Solve: \( 719 + 143 \)
Ones Bundling Explanation
Explain what happens to the number 13 when you add \( 6 + 7 \) in the Ones column. Where does the "1" go and why does it represent a ten?
Amazing job! You are ready for the Ones Regrouping Exit Ticket. Page 5 of 6
Super Challenge • Double Regrouping
Tens and Ones Regrouping
Double Bundler!
Double Regrouping Challenge: In these problems, you will need to bundle ones to make tens, AND bundle tens to make hundreds! Draw place value disks for both columns and see how it works.
9. Solve: \( 376 + 248 \) 2 Regroups!
Hundreds
Tens
Ones
Bundle 10 T
Bundle 10 O
Check:
10. Solve: \( 485 + 267 \) 2 Regroups!
Hundreds
Tens
Ones
Bundle 10 T
Bundle 10 O
Check:
Double Regrouping Secret: Always bundle the Ones column first! Once you add that new Ten disk to the Tens column, count all Tens to see if you need to bundle another 10 Tens to form 1 Hundred disk.
Legendary effort! You've mastered Double Regrouping! Page 6 of 6
Problem 2
\( 419 + 254 \)
673
Ones bundle
Problem 3
\( 526 + 138 \)
664
Ones bundle
Problem 4
\( 608 + 275 \)
883
Zeros helper
Level Up Practice (Algorithm Only Grid)
Problem 5
\( 29 + 153 \)
182
Align & bundle
Problem 6
\( 346 + 425 \)
771
Ones bundle
Problem 7
\( 654 + 218 \)
872
Ones bundle
Problem 8
\( 719 + 143 \)
862
Ones bundle
Page 6 Challenge (Double Regrouping)
Problem 9
\( 376 + 248 \)
624
Regroup 10 Ones AND 10 Tens!
Problem 10
\( 485 + 267 \)
752
Regroup 10 Ones AND 10 Tens!
Exit Ticket Answers
Ticket 1
\( 238 + 145 \)
383
Model & Check
Ticket 2
\( 419 + 254 \)
673
Algorithm Check
Ticket 3
\( 526 + 138 \)
664
Algorithm Check
Homework Answers
Homework 1
\( 248 + 135 \)
383
Model & Regroup
Homework 2
\( 516 + 267 \)
783
Model & Regroup
Expected Journal Prompt Response Rubric
A proficient student response must state:
1. The number 13 is composed of 1 ten and 3 ones.
2. The 3 remains in the Ones column because it represents individual ones.
3. The 1 represents 1 group of ten (bundled from the 10 ones), so it must be added to the Tens column where other tens are being counted.
Grade 5 Math Resources • Teacher Answer Key Page 2 of 2
