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Garden Array Architects

Students explore multiplication, rectangular arrays, area, and perimeter by designing their own backyard vegetable gardens. Using grid models and real-world planting constraints, learners discover how array dimensions determine total planting area and perimeter determines fencing needs.

RCRoni Coleman

Garden Array Architects

Students explore multiplication, rectangular arrays, area, and perimeter by designing their own backyard vegetable gardens. Using grid models and real-world planting constraints, learners discover how array dimensions determine total planting area and perimeter determines fencing needs.

RCRoni Coleman

Veggie Arrays: Applied Challenges

Part 2: Real-World Garden Problems & Geometric Reasoning

Name: ____________________________

4

Farmer Maria's Crisp Radish Patch

Farmer Maria builds a rectangular radish bed that is 6 feet long and 4 feet wide.

Draw and label a sketch of Maria's bed:

Area Equation (Planting Space): ____ ft × ____ ft = _____ sq ft

Perimeter Equation (Fencing Needed): __ + __ + __ + __ = _____ feet

5

The Mystery Cucumber Bed (Finding Missing Width)

A gardener builds a rectangular cucumber patch with a total area of 28 square feet. The length of the bed is 7 feet.

Step 1: Find Width 7 × ____ = 28

Width = _____ ft

Step 2: Show Work for Perimeter

Step 3: Total Fence Fence needed:

P = _____ ft

6

Investigation: Same Area, Different Fence Length!

Critical Thinking

Two students both design an onion patch with an area of 12 square feet:

Bed A (Kai's Design) 1 foot wide by 12 feet long

Area: 1 × 12 = _____ sq ft

Perimeter: 1 + 12 + 1 + 12 = _____ ft

Bed B (Maya's Design) 3 feet wide by 4 feet long

Area: 3 × 4 = _____ sq ft

Perimeter: 3 + 4 + 3 + 4 = _____ ft

Which design requires less fencing to protect? Why does a long skinny bed require more fence than a square-like bed?

7

Gardener Error Analysis: Spot the Mistake!

Leo says: "My garden bed is 5 feet long and 3 feet wide, so its area is 16 feet because 5 + 3 + 5 + 3 = 16."

Explain Leo's mistake and state the correct area with proper units:

Mastery Objective: Solve area (L × W) and perimeter (2L + 2W) garden problems

Page 2 of 2

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