Factor Forge Worksheet
Factor Forge
Part 1: 3-Digit × 1-Digit Mastery
Name:
Date:
Class:
Score:
The Algorithm Rule: Multiply ones → tens → hundreds. Remember to add any regrouped digits after multiplying!
3-Digit × 1-Digit
A Calculate Each Product (Show all regrouping)
6 Problems • 6 Points Each
#1
3 2 4
× 3
#2
5 1 8
× 4
#3
6 4 7
× 5
#4 Watch zero!
7 0 9
× 6
#5
8 3 6
× 7
#6
4 9 2
× 8
B Error Detective: Spot & Correct the Glitch
Student's Work:
4 3 6
× 4
1 6 2 4
Student calculated: 4×6=24, 4×3=12, 4×4=16.
Explain the mistake made:
Solve correctly:
C Real-World Application Problem
The Grand Theater has 8 sections of seating on the main floor. Each section contains exactly 136 seats. How many total seats are on the main floor?
Final Answer: seats
Show Work Space
Factor Forge Practice Series • Level 4/5 Page 1 of 2 • Turn over for 2-Digit × 2-Digit →
Factor Forge
Part 2: 2-Digit × 2-Digit Showdown
Student Name:
Step 1
Multiply top by ones digit
Step 2: Key Step
Place 0 in ones place
Step 3
Multiply top by tens digit
Step 4
Add partial products
D Calculate Each Product (Show all partial products and addition)
6 Problems • 8 Points Each
#7
3 4
× 2 1
#8
5 2
× 3 6
#9
4 7
× 2 8
#10
6 3
× 4 5
#11
8 4
× 3 7
#12
7 6
× 5 9
E 13. Community Garden Area Model
A community center builds a rectangular pollinator garden that measures 48 feet long and 26 feet wide. What is the total area in square feet?
Work Space
Total Area:
sq ft
F 14. Reasoning Challenge Estimation
Which product will be greater than 3,500? Circle your choice, then compute in the workspace below to prove your answer.
Option A: 68 × 42
Option B: 59 × 64
Proof Calculation
Show calculations for your circled choice.
Factor Forge Practice Series • Level 4/5 Page 2 of 2 • End of Assessment
Factor Forge Answer Key
Factor Forge
Teacher Answer Key
Part 1: 3-Digit × 1-Digit Solutions • Max Points: 50
Scoring Breakdown
Part A: 36 pts • Part B: 8 pts • Part C: 6 pts
Check for correct regrouped values placed above tens/hundreds columns. Red text indicates correct student work.
Key 1 of 2
A Calculate Each Product (6 pts each • 2 pts regrouping, 4 pts product)
All Answers Final
#1
- 1
3 2 4
× 3
9 7 2
#2
- 3
5 1 8
× 4
2,0 7 2
#3
2 3
6 4 7
× 5
3,2 3 5
#4
- 5
7 0 9
× 6
4,2 5 4
#5
2 4
8 3 6
× 7
5,8 5 2
#6
7 1
4 9 2
× 8
3,9 3 6
B Error Detective: Model Answer & Scoring (8 Points Total)
Target Error:
4 3 6
× 4
1 6 2 4
Mistake: Concatenated products without regrouping across columns.
Exemplar Explanation (4 pts):
The student multiplied each place value independently and wrote each full two-digit product side-by-side (24, 12, 16) instead of regrouping the 2 tens and the 1 hundred into the next place values.
Correct Solution (4 pts):
[1][2]
4 3 6
× 4
1,7 4 4
C Word Problem Solution & Rubric (6 Points Total)
The Grand Theater has 8 sections of seating, each with 136 seats.
Correct Answer: 1,088 seats
Award 3 pts for setup/work and 3 pts for correct product with unit.
Model Work Space:
[2][4]
1 3 6
× 8
1,0 8 8
Factor Forge Teacher Suite • Grade 4/5 Standards (4.NBT.B.5) Answer Key Page 1 of 2 • 2-Digit × 2-Digit Next →
Factor Forge
Teacher Answer Key
Part 2: 2-Digit × 2-Digit Solutions • Max Points: 50
Scoring Breakdown
Part D: 48 pts • Part E: 1 pts • Part F: 1 pts
Look for the placeholder zero in the ones column of the second partial product (worth 2 pts per problem).
