Array Architects Practice Worksheet
Blueprint Lab • Grade 4 4.OA & 4.NBT
ARRAY ARCHITECTS
Name:
Date:
Rule: Rows go across (→) and Columns go down (↓).
Total = Rows × Columns
1
Blueprint Inspection • Interpret and Multiply
Count the equal rows and columns in each blueprint, then write the equation.
Blueprint A: Foundation Bolts #1
Rows: Columns:
× =
Blueprint B: Garden Tiles #2
Rows: Columns:
× =
2
Missing Dimensions • Solve for Unknowns
Use the known dimension and the total area to calculate the missing factor.
#3 Wall Tile Project Total: 35 Tiles
Width: ? columns
Total Area = 35 Tiles
Height: 5 rows
5 × = 35
Missing Columns =
#4 Solar Roof Project Total: 48 Panels
Width: 8 columns
Total Area = 48 Panels
Height: ? rows
× 8 = 48
Missing Rows =
3
Drafting Studio • Shade to Build
Shade the exact squares to build the requested array, then complete the equation.
#5 Order: Brick Pathway 4 rows of 7
Shade 4 rows and 7 columns on the grid:
× = bricks
#6 Order: Window Panes 3 rows of 9
Shade 3 rows and 9 columns on the grid:
× = panes
Array Architects • Grade 4 Math Page 1 of 2
P2
ARRAY ARCHITECTS • ADVANCED BLUEPRINTS
Decomposing Arrays, Real-World Problems & Mathematical Reasoning
Name:
4
Deconstructing Large Arrays • Break Into Tens and Ones
Break larger arrays into friendly chunks to multiply two-digit numbers with ease.
#7 Example: \(4 \times 14\) 14 = 10 + 4
Part A (10 cols)
\(4 \times 10 = \mathbf{40}\)
Part B (4 cols)
\(4 \times 4 = \mathbf{16}\)
Combine parts: 40 + 16 = 56
So, \(4 \times 14 =\) 56
#8 Solve: \(6 \times 12\) Split 12 = 10 + 2
Part A (10 cols)
\(6 \times 10 =\)
Part B (2 cols)
\(6 \times 2 =\)
Combine: + =
So, \(6 \times 12 =\)
5
Real-World Blueprints • Problem Solving
#9 The Plaza Courtyard Array Design
An architect arranges decorative concrete pavers in 8 rows with 6 pavers in each row.
a. Sketch an Array Model:
b. Write Equation & Solve:
Equation:
Total Pavers =
#10 Supply Depot Factoring Factoring
A storage depot has 36 crates of glass tiles. Arrange all 36 crates into equal rows and columns.
a. List TWO different rectangular arrays that make 36:
Plan A: rows of = 36
Plan B: rows of = 36
b. If the pallet only fits 4 columns, how many rows are needed? rows
6
Blueprint Audit • Error Detective
#11 Inspect the Apprentice's Work
Critical Thinking
Apprentice Leo built a tile grid with 4 rows and 7 columns. He claims: “To find total tiles, I add \(4 + 7 = 11\) tiles.”
Explain Leo's error. Why can't he just add 4 and 7?
Write the CORRECT multiplication equation: × =
Array Architects • Grade 4 Math Page 2 of 2
