Array Architects Worksheet
ARRAY ARCHITECTS
Multiplication & Visual Models • Grade 3 Math
Name:
Date:
Architect Blueprint: Rows go across (↔) and Columns go up and down (↕).
Rows × Columns = Total Product
1
Read the Blueprint: Inspect Each Array
A. Blueprint Tiles Model #1
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
Rows: Columns:
Repeated Addition: ___ + ___ + ___ = ___
Equation: ___ × ___ = ___
B. Solar Panels Model #2
■ ■ ■ ■ ■
■ ■ ■ ■ ■
■ ■ ■ ■ ■
■ ■ ■ ■ ■
Rows: Columns:
Repeated Addition: ___ + ___ + ___ + ___ = ___
Equation: ___ × ___ = ___
C. Window Panes Model #3
● ● ● ● ● ● ●
● ● ● ● ● ● ●
Rows: Columns:
Repeated Addition: ___ + ___ = ___
Equation: ___ × ___ = ___
D. Garden Planters Model #4
★ ★ ★
★ ★ ★
★ ★ ★
★ ★ ★
★ ★ ★
Rows: Columns:
Repeated Addition: ___ + ___ + ___ + ___ + ___ = ___
Equation: ___ × ___ = ___
2
Drafting Board: Sketch the Arrays
Array A: Draw 4 rows of 6 4 × 6 = ___
Sketch circles or squares in tidy rows and columns:
Array B: Draw 3 rows of 8 3 × 8 = ___
Sketch circles or squares in tidy rows and columns:
Array Architects • Grade 3 Operations & Algebraic Thinking (3.OA.A.1, 3.OA.A.3) Page 1 of 2
ARRAY ARCHITECTS: PHASE 2
Fact Families, Turnaround Arrays, & Word Problems
Name:
3
Turnaround Arrays & Fact Families
Commutative Property
Array Set A: Total = 15 tiles
3 rows of 5
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█████
█████
↔
5 rows of 3
███
███
███
███
███
Complete the fact family:
___ × ___ = ___
___ × ___ = ___
___ ÷ ___ = ___
___ ÷ ___ = ___
Array Set B: Total = 24 tiles
4 rows of 6
██████
██████
██████
██████
↔
6 rows of 4
████
████
████
████
████
████
Complete the fact family:
___ × ___ = ___
___ × ___ = ___
___ ÷ ___ = ___
___ ÷ ___ = ___
4
Real-World Architect Word Problems
Problem 1: The Community Greenhouse
Farmer Sofia builds 5 planter boxes in each row. The greenhouse has 7 rows in total. How many planter boxes are there in all?
Equation: ___ × ___ = ___
Answer: planter boxes
Sketch array model:
Problem 2: The Theater Seating Chart
The school stage crew arranges 6 rows of auditorium seats. Each row has exactly 8 chairs. How many chairs did the crew set up?
Equation: ___ × ___ = ___
Answer: chairs
Sketch array model:
Problem 3: The Cookie Bakery Tray
Baker Marcus bakes chocolate chip cookies in an array with 4 rows and 9 columns. How many cookies fit on one baking sheet?
Equation: ___ × ___ = ___
Answer: cookies
Sketch array model:
Master Architect Challenge: 18 Floor Tiles
An architect has 18 square floor tiles. Write two DIFFERENT multiplication equations she could use to arrange all 18 tiles into an array!
Arrangement 1: ___ rows × ___ columns = 18
Arrangement 2: ___ rows × ___ columns = 18
Array Architects • Grade 3 Operations & Algebraic Thinking (3.OA.B.5, 3.OA.C.7) Page 2 of 2
