Sum Detectives Problem Set
Grade 4 • Module 1 Lesson 12 (Modified)
Multi-Step Addition Problem Set
Name:
Date:
Directions: For each word problem, model the situation with a tape diagram, write and solve an equation using the standard addition algorithm, and write a complete sentence answering the question.
1
A public library has 14,875 children’s books and 28,490 adult books. During a summer reading drive, the community donated 3,425 more children’s books. How many total books does the library have now?
Model with Tape Diagram
Standard Algorithm
Statement:
2
A wildlife sanctuary protects three herds of elk. The North herd has 12,654 elk. The East herd has 4,280 more elk than the North herd. The South herd has 8,390 elk. How many total elk live in the sanctuary?
Model with Tape Diagram
Standard Algorithm
Statement:
Eureka Math Modified • Module 1 • Lesson 12 Page 1 of 2
Grade 4 • Module 1 Lesson 12 Problem Set (Continued)
Name:
3
A state park recorded visitor counts across three weekends of an autumn festival. On the first weekend, there were 23,560 visitors. On the second weekend, there were 5,845 more visitors than the first weekend. On the third weekend, there were 19,435 visitors. What was the total number of visitors across all three weekends?
Model with Tape Diagram
Standard Algorithm
Statement:
4
A regional logistics company shipped packages during three seasonal promotional weeks. Week 1 saw 35,480 packages shipped. Week 2 saw 18,725 more packages than Week 1. Week 3 saw 42,910 packages shipped. How many total packages did the company ship across all three weeks?
Model with Tape Diagram
Standard Algorithm
Statement:
Eureka Math Modified • Module 1 • Lesson 12 Page 2 of 2
Sum Detectives Answer Key
Grade 4 • Module 1 Lesson 12 (Modified)
Multi-Step Addition — Answer Key
Teacher Reference Exact Calculations Only
Tape diagram models and vertical regrouping steps shown below. No rounding / estimation required
1
Problem: 14,875 children’s books + 28,490 adult books. Donated: 3,425 more children’s books. Total books now?
Tape Diagram Model
Children's Books:
14,875
+3,425
Total = 18,300
Total All Books:
Children: 18,300
Adult: 28,490
Total = ?
Standard Algorithm
Step 1: Children's
¹ ¹
14,875
+ 3,425
18,300
Step 2: Grand Total
¹
18,300
+ 28,490
46,790
Statement: The library has 46,790 total books now.
2
Problem: North herd: 12,654. East herd: 4,280 more than North. South herd: 8,390. Total elk in sanctuary?
Tape Diagram Model
North:12,654
East:12,654 + 4,280 = 16,934
12,654
+4,280
South:8,390
Standard Algorithm
Step 1: East Herd
12,654
+ 4,280
16,934
Step 2: Total Elk
¹ ¹
12,654
16,934
+ 8,390
37,978
Statement: A total of 37,978 elk live in the sanctuary.
Eureka Math Modified • Module 1 • Lesson 12 Answer Key • Page 1 of 2
Grade 4 • Module 1 Lesson 12 Answer Key (Continued)
Teacher Reference
3
Problem: Weekend 1: 23,560 visitors. Weekend 2: 5,845 more than W1. Weekend 3: 19,435 visitors. Total visitors?
Tape Diagram Model
Weekend 1:23,560
23,560
Weekend 2:23,560 + 5,845 = 29,405
23,560
+5,845
Weekend 3:19,435
19,435
Bracket across all three weekends = Total Visitors (?)
Standard Algorithm
Step 1: Weekend 2
¹ ¹
23,560
+ 5,845
29,405
Step 2: Total Sum
¹ ¹ ¹
23,560
29,405
+ 19,435
72,400
Check: 23,560 + 29,405 = 52,965; 52,965 + 19,435 = 72,400.
Statement: There were 72,400 total visitors across all three festival weekends.
4
Problem: Week 1: 35,480 packages. Week 2: 18,725 more than W1. Week 3: 42,910 packages. Total packages shipped?
Tape Diagram Model
Week 1:35,480
35,480
Week 2:35,480 + 18,725 = 54,205
35,480
+18,725
Week 3:42,910
42,910
Bracket across all three weeks = Total Packages (?)
Standard Algorithm
Step 1: Week 2
¹ ¹
35,480
+ 18,725
54,205
Step 2: Total Sum
¹ ¹ ¹
35,480
54,205
+ 42,910
132,595
Check: 35,480 + 54,205 = 89,685; 89,685 + 42,910 = 132,595.
Statement: The company shipped 132,595 total packages across all three weeks.
Eureka Math Modified • Module 1 • Lesson 12 Answer Key • Page 2 of 2
