Park Blueprint Lesson Plan Park Blueprint Lesson Plan
Topic: Area and Perimeter in Urban Design
Grade 3
Duration
60-75 Minutes
Objective
Apply area and perimeter formulas to park layout.
Materials
Grid paper, colored pencils, worksheets.
Learning Standards
CCSS.MATH.3.MD.C.7: Relate area to the operations of multiplication and addition.CCSS.MATH.3.MD.D.8: Solve real-world perimeter problems.
Instructional Sequence
0-10 min
The Hook: The City’s Request
Present a "Letter from the Mayor." The city needs a new park but has strict spatial requirements. Introduce roles: Perimeter Architect and Area Specialist.
10-25 min
Direct Instruction: Tool Check
Review difference between perimeter (fencing) and area (space). Use Slides to demonstrate calculating rectangular dimensions.
25-50 min
Guided Practice: The Master Plan
Students work on the Project Activity . They must place specific items (playground, pond, lawn) onto their grid while following specific constraints.
50-60 min
Assessment & Closure
Students complete the Architect Log to reflect on solving spatial conflicts and reasoning about their designs.
Architectural Tip
Shapes can have the same area but different perimeters! Challenge advanced learners to design a garden with an area of 12 sq units using the smallest possible perimeter (3x4) and the largest (1x12).
Architect Office Slides Architect Office Slides
DESIGNING THE PERIMETER PARK
The Mission
The City Council has hired YOU to design the new community park.
Constraint 1
Every feature must have an exact Area so it fits on the site.
Constraint 2
Every feature needs a Perimeter for fencing and safety paths.
Tool #1: Area
Area is the space inside a shape.
We measure Area in square units . For our blueprints, each grid square is 1 unit.
Length × Width = Area
4 × 3 = 12 Square Units
Tool #2: Perimeter
Perimeter is the distance around a shape.
Think of it like the fence around the playground or the path around the pond.
Side + Side + Side + Side = P
4 Units 3 Units
Distance Around
4 + 3 + 4 + 3 = 14 Units
The Architect's Dilemma
"I need a Sandpit with an Area of 16. But it has to fit in a narrow spot!"
Option A: Square
4 × 4
Perimeter = 16
Option B: Rectangle
8 × 2
Perimeter = 20
Both have the same Area, but different Perimeters!
Dimension Draft Worksheet Dimension Draft
Architectural Math Practice
NAME:
DATE:
Lead Architect: Calculate the area and perimeter for each planned structure before building begins.
1. The Picnic Pavilion
A rectangular roof covering 6 units long and 4 units wide .
AREA:
sq units
PERIMETER:
units
2. The Walking Trail
A square garden trail where one side is 7 units long .
AREA:
sq units
PERIMETER:
units
Sketch your 7x7 garden here
Architect's Challenge
Basketball Court: Perimeter = 30 units . Length = 10 units. Find the width and area.
WIDTH:
AREA:
Work Space
Dimension Draft Answer Key Answer Key
Dimension Draft Worksheet
TEACHER REFERENCE
1. The Picnic Pavilion (6 x 4)
Calculation
Area: 6 × 4 = 24
P: 6 + 4 + 6 + 4 = 20
Final Answers
Area: 24 sq units
Perimeter: 20 units
2. Walking Trail (7 x 7 Square)
Calculation
Area: 7 × 7 = 49
P: 7 × 4 = 28
Final Answers
Area: 49 sq units
Perimeter: 28 units
3. Challenge (P=30, L=10)
Logic Process
P = 30 units
Two lengths: 10 + 10 = 20
Remaining: 30 − 20 = 10
Width: 10 ÷ 2 = 5
Area: 10 × 5 = 50
Final Answers
Width: 5 units
Area: 50 sq units
Teaching Notes
Unit Confusion: Ensure students distinguish between linear units and square units.Square Properties: For Q2, reinforce that a square has 4 equal sides.Two-Step Logic: In Q3, many students stop after subtracting 10, forgetting there are two widths. Perimeter Park Project Activity Master Plan Activity
Official Park Site Requirements
Site Specs
Design the park using the grid on the next page. 1 square = 1 unit.
1
Playground Jungle
Area = 20 square units
2
Reflection Pond
Perimeter = 18 units
3
The Great Lawn
Area = at least 30 square units
4
Community Garden
Square. Perimeter = 16 units
Design Rules
Shapes must be rectangles or squares.
Color code: Blue (Pond), Green (Lawn), Brown (Garden), Orange (Play).
Label every feature with Area and Perimeter .
Paths: Leave space between your structures!
ARCHITECT:
The Perimeter Park Site Map
Official Blueprint Grid
1 sq = 1 unit
Playground
A: 20 | P: ___
Reflection Pond
A: ___ | P: 18
Great Lawn
A: 30+ | P: ___
Community Garden
A: ___ | P: 16
Architect Log Journal Architect's Log
Reflection on the Perimeter Park Project
ARCHITECT:
DATE:
1. Spatial Reasoning
Which park feature was the hardest to fit on your grid? Explain how you used math to solve the problem.
2. Comparing Dimensions
Look at your Reflection Pond . What were the dimensions you chose to reach a perimeter of 18?
Length:
Width:
Area of Pond:
3. Design Discovery
If you had to double the Area of your Great Lawn, how would that change the Perimeter ? Explain your thinking.
Architecture is math in motion.
Plan Approved
CITY PLANNING DEPT.
