Area Properties Practice Worksheet
Math Practice • 3rd Grade
Area & Properties Practice
Name:
Date:
Class:
Learning Target
I can use the distributive property and area models to break apart multiplication facts and find missing side lengths.
Part A
Distributive Property Expressions (3.OA.B.5)
- Teacher Model
Mateo wrote the expression shown below.
3.OA.B.5
(7 × 3) + (7 × 5)
What is another way that Mateo can write this expression?
A. 14 + 8
B. 7 + 8
C. 7 × 8
D. 10 × 12
- Your Turn
Sofia wrote the expression shown below.
3.OA.B.5
(7 × 4) + (7 × 2)
What is another way that Sofia can write this expression?
A. 7 × 6
B. 14 + 6
C. 7 + 6
D. 11 × 9
- Teacher Model
Jordan wrote the expression shown below.
3.OA.B.5
(6 × 5) + (6 × 4)
What is another way that Jordan can write this expression?
A. 12 + 9
B. 6 × 9
C. 6 + 9
D. 11 × 10
- Your Turn
Maya wrote the expression shown below.
3.OA.B.5
(9 × 3) + (9 × 4)
What is another way that Maya can write this expression?
A. 9 + 7
B. 12 × 13
C. 18 + 7
D. 9 × 7
Area & Properties Practice • Page 1 of 3
Area & Properties Practice • Page 2
Name:
Part B
Area Models & Distributive Property (3.MD.C.7C)
- Teacher Model
Lucas is tiling a kitchen floor with a white section and a shaded gray section.
3.MD.C.7c
= 1 sq ft
Which expression shows the total area of the kitchen floor?
A. (4 × 4) + (4 × 3)
B. (7 × 4) + (3 × 4)
C. (4 + 4) × (4 + 3)
D. (7 + 4) × (4 + 3)
- Your Turn
Kendra is tiling a bathroom wall with a white section and a shaded gray section.
3.MD.C.7c
= 1 sq ft
Which expression shows the total area of the bathroom wall?
A. (6 + 5) × (2 + 4)
B. (5 × 2) + (5 × 4)
C. (5 + 2) × (5 + 4)
D. (6 × 5) + (2 × 5)
- Teacher Model
Mr. Alvarez is laying pavers with a shaded gray section and a white section.
3.MD.C.7c
= 1 sq ft
Which expression shows the total area of the pavers?
A. (4 × 5) + (4 × 3)
B. (8 × 4) + (3 × 4)
C. (4 + 5) × (4 + 3)
D. (8 + 4) × (3 + 4)
- Your Turn
Ms. Rivera is designing a patio with a shaded gray section and a white section.
3.MD.C.7c
= 1 sq ft
Which expression shows the total area of the patio?
A. (3 × 6) + (3 × 3)
B. (9 × 3) + (3 × 3)
C. (3 + 6) × (3 + 3)
D. (9 + 3) × (3 + 3)
Area & Properties Practice • Page 2 of 3
Area & Properties Practice • Page 3
Name:
Part C
Finding the Missing Side Length (3.MD.C.7B)
9 Teacher Model
The area is 28 square units. The width is 4 units.
3.MD.C.7b
[ 4 units
| ? |
Area = 28 sq units
Show your work:
The missing length is units.
10 Your Turn
The area is 32 square units. The width is 4 units.
3.MD.C.7b
[ 4 units
| ? |
Area = 32 sq units
Show your work:
The missing length is units.
11 Teacher Model
The area is 42 square units. The width is 6 units.
3.MD.C.7b
[ 6 units
| ? |
Area = 42 sq units
Show your work:
The missing length is units.
12 Your Turn
The area is 45 square units. The width is 5 units.
3.MD.C.7b
[ 5 units
| ? |
Area = 45 sq units
Show your work:
The missing length is units.
Area & Properties Practice • Page 3 of 3
Small Group Guided Activity
Guided Math • Small Group Focus Grade 3 Intervention
Area & Properties Guided Table
Student:
Date:
Table:
Table Focus
Break big facts into friendly chunks (like 5s and 2s) using the distributive property: a × (b + c) = (a × b) + (a × c).
Small Group
Part A
Decomposing Multiplication Expressions (3.OA.B.5)
Teacher Coach • Partner Discussion
- Guided Table Model
Elena decomposed the number 7 into 5 + 2 to multiply by 8.
3.OA.B.5
(8 × 5) + (8 × 2)
→ What fact is Elena solving?
Which single multiplication expression represents Elena's total?
A. 8 × 7
B. 16 + 7
C. 8 + 7
D. 13 × 10
- Group Try It
Dante broke apart a multiplication fact using friendly 5s and 3s.
3.OA.B.5
(6 × 5) + (6 × 3)
→ Combine the decomposed parts:
What is another way that Dante can write this expression?
A. 12 + 8
B. 6 + 8
C. 6 × 8
D. 11 × 9
- Guided Table Model
Zara decomposed 7 into 4 + 3 to multiply by 9.
3.OA.B.5
(9 × 4) + (9 × 3)
→ What is the original equation?
Which expression shows another way to write Zara's expression?
A. 9 + 7
B. 9 × 7
C. 18 + 7
D. 13 × 12
- Group Try It
Leo used doubling to break 8 into 4 + 4 to multiply by 7.
3.OA.B.5
(7 × 4) + (7 × 4)
→ Group check: what is the single fact?
What is another way that Leo can write this expression?
A. 14 + 8
B. 7 + 8
C. 11 × 11
D. 7 × 8
Small Group Guided Activity • 3.OA.B.5 Page 1 of 3
Small Group Guided Activity • Page 2 Concrete Models
Student:
Part B
Decomposed Grid Area Models (3.MD.C.7C)
Total Area = (Width × White) + (Width × Gray)
- Guided Table Model
Camila builds a 5-by-8 rectangle split into white and shaded sections.
3.MD.C.7c
White: 5 × 3
Gray: 5 × 5
Which expression shows the total area of Camila's rectangle?
