Pumpkin Patch Unit Plan Grade 2 Math Enrichment • Fall PBL Unit 5-Day Multi-Lesson Sequence
Pumpkin Patch Architect
Driving Question: How can geometry and spatial measurement help us design the ultimate autumn agro-tourism farm?
Core Math Concepts
2D & 3D attributes (faces, edges, vertices), rectangular arrays (rows × columns), perimeter measurement, and composite shapes.
Enrichment Goals
Apply spatial constraints, optimize perimeter versus square area, calculate multi-step material budgets, and pitch design blueprints.
Materials Needed
Grid blueprint paper, wooden cubes / craft sticks, rulers, play money counters, colored pencils, student project packets.
Daily Lesson Sequence & Milestones
45-60 min daily blocks
Day 1
Site Survey & 2D Zone Planning
Milestone 1
Explore farm zones. Identify and sort polygons (quadrilaterals, hexagons, pentagons) for zones: Pumpkin Field, Apple Orchard, and Hay Maze.
Day 2
Pumpkin Patch Array Mapping
Milestone 2
Design pumpkin planting plots using rectangular arrays (e.g., 4 rows of 5 pumpkins = 20 pumpkins). Write repeated addition equations for total yield.
Day 3
Perimeter Fencing & Pathway Budget
Milestone 3
Measure border boundaries around the animal petting pen and maze. Calculate total fencing units needed ($2 per fencing segment) within a $40 budget.
Day 4
3D Cider Barn & Storage Structures
Milestone 4
Construct solid 3D models (rectangular prisms, triangular prisms, cubes). Document faces, vertices, and edges for the farm stand and cider silo.
Day 5
Architect Showcase & Community Pitch
Final Milestone
Present final blueprints and 3D models to peer review committee. Justify spatial decisions, total pumpkin yields, and fencing expenditure.
Enrichment Extensions & Scaffolds
Tier 1 Extension: Include an irregular L-shaped tractor path and calculate decomposed perimeter.Tier 2 Extension: Double the patch yield while keeping fencing under 30 linear units.Scaffold: Provide color-coded square unit tiles for array building.
Performance Rubric
Geometry Accuracy: Identifies 2D & 3D attributes flawlessly
Array Modeling: Equally partitioned rows × columns
Budget & Perimeter: Correct unit totals within spending limits
Teacher Pro-Tip: Have students use masking tape on the classroom floor to walk out perimeters before drafting on paper. Unit 1 of 4 • Fall Season
Pumpkin Patch Project Guide Fall PBL Mission • Math Enrichment
Name: Date:
Pumpkin Patch Architect Guide
Mission: Design the layout, planting arrays, and fencing for Autumn Acres Farm.
Role Lead Architect
Mission Briefing
Farmer Jack needs your mathematical genius! The autumn festival opens in 5 days, and the grounds must feature geometric zones, maximized pumpkin planting beds, and secure animal fences within budget.
Architect Toolkit
Ruler & Pencil
Grid Blueprint Paper
3D Building Blocks
1 Milestone 1: 2D Geometry Zone Planner
Day 1 Target
Match each required farm zone to a polygon shape that fits the geometric specification:
Zone A: Pumpkin Patch Rule: 4 equal sides, 4 right angles
Shape Name:
Zone B: Hay Maze Rule: Exactly 6 vertices & 6 sides
Shape Name:
Zone C: Cider Pavilion Rule: Exactly 5 straight sides
Shape Name:
2 Milestone 2: Pumpkin Planting Arrays
Day 2 Target
To make harvesting easy, pumpkins must be planted in neat rectangular arrays. Plan two separate patches below.
Plot Alpha: Sugar Pie Pumpkins
Draw an array of 3 rows of 6 pumpkins :
Repeated Addition:
Total Pumpkins Harvested:
Plot Beta: Giant Prize Pumpkins
Design a plot holding 20 pumpkins using equal rows:
My Array Structure:
Repeated Addition Equation:
Autumn Acres PBL • Student Mission Guide Page 1 of 2
Pumpkin Patch Architect: Blueprints & Budget
Phase 2: Construction calculations, 3D structures, and project review
Part 2 of 2
3 Milestone 3: Perimeter Fencing & Budget Challenge
Day 3 Target
The Miniature Goat Petting Corral is a rectangle measuring 8 yards long and 5 yards wide . Wooden fence posts cost $2 per yard . You have a budget of $60 .
Show Your Perimeter Math (all 4 sides):
Total Perimeter: yards
Calculate Total Cost & Budget Check:
Total Cost ($2 × Perimeter): $
Money Left Over from $60: $
4 Milestone 4: 3D Barn & Silo Solid Shapes
Day 4 Target
Analyze the 3D solid shapes used to build the Cider Mill Barn, Silo, and Apple Crate Stack:
Harvest Market Unit Plan Grade 2 Math Enrichment • Fall PBL Unit 2 5-Day Multi-Lesson Sequence
Harvest Feast Market
Driving Question: How do addition, subtraction, and money management turn fresh harvest goods into a thriving community market?
Core Math Concepts
2-digit and 3-digit addition & subtraction with regrouping, currency values ($1, $5, $10, $20, 25¢, 10¢, 5¢, 1¢), making change, and calculating profit.
Enrichment Goals
Perform mental math coin counting, solve multi-step financial word problems, calculate revenue minus expenses, and balance daily cash drawers.
Materials Needed
Play money kits (bills and coins), harvest produce cards, menu display stands, student market logbooks, calculator checking stations.
Daily Lesson Sequence & Milestones
45-60 min daily blocks
Day 1
Inventory Planning & Wholesale Cost
Milestone 1
Select 4 signature harvest items (Apple Cider Jugs, Cinnamon Pies, Roasted Squash, Honeycomb). Calculate startup stock costs within a $75 startup grant.
Day 2
Retail Pricing & Coin Combos
Milestone 2
Set retail prices for profit. Model each item's price tag using the least number of coins and bills (e.g., $3.75 = 3 dollar bills, 3 quarters).
Day 3
Live Market Simulation: Orders & Making Change
Milestone 3
Students pair up as customer and cashier. Ring up 2-item orders requiring 2-digit addition with regrouping, and make correct change from $10 and $20 bills.
Day 4
Festival Rush: Multi-Step Word Challenges
Milestone 4
Solve real-time unexpected market events: discounts/coupons ($3 off orders over $15), bulk family baskets, and calculating remaining stock.
Day 5
Financial Audit & Community Donation
Final Milestone
Tally total revenue, subtract initial $75 startup cost, calculate net profit, and designate a community food pantry charitable contribution.
Enrichment Extensions & Scaffolds
Tier 1 Extension: Apply an 8% sales tax round-up or calculate bundle deals (Buy 2, save $1.50).Tier 2 Extension: Predict next week's inventory demand based on sales velocity.Scaffold: Provide place-value mats and physical base-ten coins for regrouping.
Performance Rubric
Regrouping Precision: Flawless carry/borrow in addition & subtraction
Money Identification: Accurate coin/bill values & least coin representation
Harvest Market Project Guide Fall PBL Mission • Math Enrichment
Name: Date:
Harvest Market Project Guide
Mission: Budget startup goods, set retail pricing, and manage live market sales.
Role Market Manager
Market Challenge
The Annual Autumn Harvest Festival is here! The Town Council has granted you a $75 startup fund . You must purchase wholesale stock, price your goods for profit, and handle real customer orders without errors.
Manager Toolkit
Cash Register Till & Play Money
Menu Price Slate & Markers
Customer Order Slips
1 Milestone 1: Wholesale Stock & Regrouping Budget
Day 1 Target
Select your inventory packages. Calculate total cost using 2-digit addition with regrouping. Ensure total is $75 or less .
Stock Packages:
Box of Fresh Apple Jugs: $24
Cinnamon Pumpkin Loaves: $18
Wild Honeycomb Jars: $16
Roasted Sweet Corn Bundle: $13
Show Regrouping Addition ($24 + $18 + $16 + $13):
Total Wholesale Cost: $
2 Milestone 2: Price Menu & Least Coins Challenge
Day 2 Target
To make quick change, determine how each retail price can be represented using the least number of coins and bills .
Cup of Hot Cider Retail Price: $2.65
Least bills and coins:
$1 Bills:
Quarters:
Dimes:
Nickels:
Warm Pumpkin Slice Retail Price: $3.45
Least bills and coins:
$1 Bills:
Quarters:
Dimes:
Nickels:
Artisan Honey Pot Retail Price: $4.90
Least bills and coins:
$1 Bills:
Quarters:
Dimes:
Nickels:
Harvest Feast Market • Student Project Guide Page 1 of 2
Harvest Market: Live Sales & Profit Audit
Phase 2: Customer transactions, change calculation, and financial review
Part 2 of 2
3 Milestone 3: Customer Register & Making Change
Day 3 Target
Calculate the total bill for each customer and show how much change to return from their payment.
Order #101: Mrs. Gable Pays: $20 Bill
• 2 Jugs of Cider ($6 each = $12)
Show Addition & Subtraction for Change:
Total Order Cost: $
Winter Village Unit Plan Grade 2 Math Enrichment • Winter PBL Unit 1 5-Day Multi-Lesson Sequence
Winter Village Builders
Driving Question: How do precision measurement and 3-digit place value guide the construction of an eco-friendly alpine village?
Core Math Concepts
Measuring length in inches, half-inches, and centimeters; place value up to 1,000 (hundreds, tens, ones); expanded notation; and scaled bar graphs.
Enrichment Goals
Calculate measurement differences between metric and customary units, model 3-digit power consumption, and interpret intervals on scaled data displays.
Materials Needed
Customary & metric 12-inch rulers, building cardstock/craft sticks, base-ten power blocks, village blueprint grid sheets, student logs.
Daily Lesson Sequence & Milestones
45-60 min daily blocks
Day 1
Blueprint Drafting & Precision Measuring
Milestone 1
Calibrate rulers. Measure timber beam lengths to the nearest inch and half-inch. Compare lengths of standard chalet walls against mountain lodge beams.
Day 2
Eco-Power Grid: Place Value to 1,000
Milestone 2
Design clean heating units for 3 village buildings. Represent energy needs up to 850 kilowatts using base-ten models (hundreds flats, tens rods, ones units) and expanded notation.
Day 3
Winter Sports Scaled Bar Graph
Milestone 3
Collect survey data on village recreation (Ice Skating, Sledding, Snowshoeing, Snowboarding). Construct a scaled bar graph with a key of 5 visitors per grid block.
Day 4
3D Miniature Chalet Assembly & Metric Audit
Milestone 4
Assemble physical chalet mock-ups using craft sticks. Measure roof angles and record total building heights in centimeters to test against winter snowdrifts.
Day 5
Alpine Town Hall Exhibition
Final Milestone
Display 3D village layouts and graph posters. Deliver architectural pitches, justifying spatial dimensions and eco-energy calculations to visitor judges.
Enrichment Extensions & Scaffolds
Tier 1 Extension: Convert measurements between feet and inches (e.g., 2 ft 4 in = 28 in).Tier 2 Extension: Create a multi-digit comparison challenge ordering village buildings from least to greatest power use.Scaffold: Provide rulers with highlighted whole-inch and half-inch tick marks.
Performance Rubric
Linear Accuracy: Measures within 1/2 inch & 1 cm
Winter Village Project Guide Winter PBL Mission • Math Enrichment
Name: Date:
Winter Village Project Guide
Mission: Architect an eco-friendly alpine village using precision measurement and place value.
Role Alpine Planner
Alpine Challenge
The snowy peak of Mount Frost needs an eco-village! As lead planner, you must measure timber beams to the exact half-inch, calculate village solar power grids up to 1,000 kilowatts, and map winter resort attractions.
Builder Toolkit
12-Inch & Metric Ruler
Base-Ten Power Blocks
Grid Drafting Blueprint
1 Milestone 1: Timber Beam Precision Measurement
Day 1 Target
Measure each timber beam using your ruler. Record to the nearest whole inch or half inch (\(\frac{1}{2}\)) .
Beam Alpha (Chalet Roof Truss):
Beam A
Length: inches
Beam Beta (Main Lodge Pillar):
Beam B
Length: inches
How much longer is Beam B than Beam A? (Show subtraction): inches longer
2 Milestone 2: Eco-Power Grid: Place Value to 1,000
Day 2 Target
Break down the winter heating wattage needed for two key village facilities:
Alpine Lodge Power 468 Watts
Hundreds: Tens: Ones:
Expanded Form:
Draw Base-Ten Blocks (Flats, Rods, Units):
Ski Lift Station Power 524 Watts
Hundreds: Tens: Ones:
Expanded Form:
Compare using >, <, or =:
468 524
Winter Village Builders • Student Project Guide Page 1 of 2
Winter Village: Graphing & Construction Audit
Phase 2: Scaled visitor data, metric building inspection, and showcase pitch
Part 2 of 2
3 Milestone 3: Scaled Bar Graph of Village Activities
Day 3 Target
Survey results: Ice Skating = 25 , Snowboarding = 35 , Sledding Hill = 20 , Snowshoeing = 15 . Complete the scaled bar graph (Scale: Each row = 5 visitors).
Activity Preference (Mount Frost Visitors) Key: [ 1 Block ] = 5 Visitors
shade to 25
shade to 35
shade to 20
shade to 15
Ice Skating Snowboard Sledding Hill Snowshoe
Most popular activity:
How many more like Snowboard than Sledding?
4 Milestone 4: Chalet Height & Snowdrift Safety Audit
Arctic Station Unit Plan Grade 2 Math Enrichment • Winter PBL Unit 2 5-Day Multi-Lesson Sequence
Arctic Rescue Station
Driving Question: How do elapsed time navigation and cargo capacity calculations protect polar wildlife during arctic blizzards?
Core Math Concepts
Telling time to the nearest 5 minutes (analog & digital), calculating elapsed time intervals (15, 30, 45 mins), AM/PM designations, and mass/liquid capacity addition.
Enrichment Goals
Solve backward and forward elapsed time problems, balance multi-crate payload weight limits under 90 lbs, and coordinate emergency rescue schedules.
Materials Needed
Geared Judy clocks or mini analog clock faces, polar expedition map coordinates, payload balance counters, student flight logs.
Daily Lesson Sequence & Milestones
45-60 min daily blocks
Day 1
Station Chronometers: Reading 5-Minute Time
Milestone 1
Calibrate station clocks across research outposts. Read and draw analog minute and hour hands to 5-minute intervals; classify AM aurora vs PM blizzard watches.
Day 2
Helicopter Rescue Patrols: Elapsed Time
Milestone 2
Track polar bear monitoring copters. Compute elapsed flight times using open number lines (e.g., depart 9:15 AM, 40-minute flight, compute landing time).
Day 3
Emergency Payload: Weight & Capacity Limits
Milestone 3
Pack medical kits, blankets, and thermal soup. Calculate combined crate weights to verify total payload does not exceed strict 85-pound snowmobile limits.
Day 4
Blizzard Countdown: Multi-Step Navigation
Milestone 4
Meteorologists predict a blizzard hitting at 2:30 PM. Rescuers leave at 1:10 PM on a 35-minute transit, spend 25 minutes on site, and return. Can they make it safely?
Day 5
Expedition Debrief & Navigator Certification
Final Milestone
Teams present certified mission logs. Defend payload balancing decisions and explain time calculation strategies to station commanders.
Enrichment Extensions & Scaffolds
Tier 1 Extension: Calculate elapsed time spanning across the hour mark (e.g., 10:45 AM to 11:20 AM).Tier 2 Extension: Create a multi-leg dog sled route with three checkpoint rest stops.Scaffold: Use color-coded clock hands (red for hour, blue for minute) and geared clocks.
Performance Rubric
Clock Precision: Reads & draws to nearest 5 minutes
Arctic Station Project Guide Winter PBL Mission • Math Enrichment
Name: Date:
Arctic Rescue Project Guide
Mission: Navigate polar wildlife rescue patrols using 5-minute time and payload math.
Role Polar Navigator
Expedition Briefing
Arctic Outpost 7 monitors endangered polar bear dens and injured seal pups across the frozen tundra. As lead flight navigator, you must read clocks to the nearest 5 minutes, calculate flight intervals, and manage strict cargo weights!
Navigator Toolkit
Geared Analog Clock Face
Open Number Line Ruler
Flight Path Coordinates
1 Milestone 1: Station Outpost Clocks (Nearest 5 Minutes)
Day 1 Target
Read the scheduled outpost station operations. Record the digital time and circle AM or PM.
Morning Radio Check
12 3 6 9
Time:
[ AM / PM ]
Seal Nursery Feed
12 3 6 9
Time:
[ AM / PM ]
Aurora Observatory
12 3 6 9
Time:
[ AM / PM ]
2 Milestone 2: Helicopter Patrols & Elapsed Time
Day 2 Target
Compute flight departure or arrival times using jumps on an open number line.
Patrol Falcon: Polar Bear Survey
Departs base at 9:10 AM . Flight duration is 35 minutes .
Show Number Line Jumps:
Landing Time: AM
Patrol Osprey: Glacier Scouting
Lands back at 11:50 AM after a 45-minute flight .
Jump Backward to Find Departure:
Take-off Time: AM
Arctic Rescue Station • Student Mission Guide Page 1 of 2
Arctic Rescue: Payload & Blizzard Navigation
Phase 2: Cargo mass addition, emergency storm countdown, and debrief certification
Part 2 of 2
3 Milestone 3: Snowmobile Payload Weight Challenge
Day 3 Target
To prevent breaking through thin ice, your snowmobile sled cargo must weigh 85 pounds or less .
Rescue Gear Crate Weights:
Emergency Medical Kit: 26 lbs
Thermal Blankets Crate: 18 lbs
Warm Electrolyte Broth: 22 lbs
Satellite GPS Transponder: 15 lbs
Show 2-Digit Regrouping Addition (26 + 18 + 22 + 15):
Total Payload Weight: lbs
Under 85 lb Safety Limit? [ ] YES [ ] NO
