Geometry Project Math 11 Essentials SCA Dal Farm
Transcript of Geometry Project Math 11 Essentials SCA Dal Farm
Geometry Project
Math 11 Essentials
Name(s):
______________________ ______________________ ______________________
This activity was adapted from the original works of Tracy Langille, who graciously shared her
idea with me. Thank you Tracy!
Outcome Achievement Levels
1: Limited knowledge and understanding of content and concepts. Limited application of related skills. 2: Developing knowledge and understanding of content and concepts. Developing in the application of related skills. 3: Competent knowledge and understanding of content and concepts. Appropriate application of related skills. 4: In-depth knowledge and understanding of content and concepts. Able to extend the application of related skills.
Outcomes Addressed in This Project: D1: Demonstrate an understanding of the concept of perimeter and area. D2: Calculate perimeter and area D4: Use perimeter and area to solve a variety of real world problems D5: Demonstrate an understanding of volume and surface area D6: Calculate surface area and volume of rectangular prisms and cylinders D7: Use surface area and volume to solve real world problems
SCA/ Dalhousie Farm Campus Background: In coordination with Dalhousie Agricultural Campus, students at South Colchester Academy have been chosen to design a school farm so that students at South Colchester Academy learn about Farm Business Management, Plant Science, Animal Health, Engineering and Heavy Equipment Operation/Repair while obtaining their high school diploma. Students who complete the hands-on high school diploma at SCA would be granted automatic admission to Dalhousie University’s Agricultural Campus with the first year of tuition free! Your Task: Your Construction Company will build the farm campus for the new South Colchester Academy Agricultural Campus. You must follow the following criteria:
• Working in groups of two or three you must name your construction company.
• You must name your farm. • You need to build a farm containing the following:
Buildings Building requirements
5 Barns (You can decide on the animals)
2-6 cube-a-links each
3 Greenhouses 3 cube-a-links each
1 Ag Mechanization/ Ag Engineering Building
8 cube-a-links
1 Machine Shed 8 cube-a-links, with at least a second level
1 Athletic Centre 6 cube-a-links
1 Plant Sciences/ Crop Genetics Building
6 cube-a-links, with at least a second level
1 Animal Science/ Veterinary Building
A square base prism (maximum 12 cube-a-links)
1 Fresh Farm Products Market/ Restaurant
6 cube-a-links
1 Water Tower *MUST be a cylinder*
1 Indoor Competition Arena (e.g. Equine Competitions, Exhibitions, Rugby or Woodsmen Competitions, Farm Equipment Shows, Dog Shows, 4H Displays, etc.)
8-10 Cube-a-links
1 Outdoor Competition Arena (e.g. Heavy Equipment Operator Competitions, Farm Equipment Shows, Rodeos, Equine Competitions, Rugby Tournaments, etc.)
Drawn on community plan
1 Parking Area Drawn on farm campus plan
1 Fenced Paddock Drawn on farm campus plan
2 Fenced Fields Drawn on farm campus plan
1 Upright Silo * MUST be a cylinder.*
Your Task
• Physically build a model of your proposed SCA Farm Campus using the materials supplied. Each building (except the silo & water tower) must be a rectangular prism. Remember a cube is a type of rectangular prism. *The silo & water tower must be cylinders.*
• Clearly label each building. • Create 3D isometric drawings for:
• 5 Barns • 3 Greenhouses • 1 Ag Mechanization/ Engineering Building • 1 Machine Shed • 1 Athletic Centre • 1 Indoor Competition Arena • 1 Plant Sciences/ Crop Genetics Building • 1 Animal Science/ Veterinary Building • 1 Restaurant/ Fresh Farm Products Market
• Create mat plans (top views with numbers) to accompany each isometric drawing.
• Each cube-a-link represents 12m x 12m x 12m which means that each side
length is 12m. You must calculate the volume in cubic-meters of each of your buildings. You may use a calculator. Remember your answer will
be measured in m3.
• SCA Fuels is putting a bid in to cover the heating costs of all of the
buildings. They have asked for the capacity of each building. If each building
has exterior walls ½ metre thick, what is the capacity of each building? You
must report all capacities in litres or kilolitres. (Hint: 1m3 = 1 000L or 1kL)
• If each cube-a-link costs your company $ 6 000, calculate the cost of each
building. • Calculate the surface area of each structure.
Build a Farm Name (s): ______________________________ Name of Farm: _________________________
Requirements Comments
Presentation You must include a cover page. Your project must be presented on unlined paper and grid paper.
In Class Observations: Observation (by the teacher, observing in-class efforts and teamwork). Also, you will hand in a report of what work each student in your group did.
***This will go towards your Learner Profile.***
Project (Checklist) • Cover Page w Names • Introduction paragraph explaining
the project. • The layout of the farm
development. (Aerial view on grid paper)
• 15 Isometric models drawn on isometric grid paper.
• 15 Mat Plans: One for each model. (Except Silo & Water Tower)
• Volume of each building. (16 Calculations- including Silo & Water Tower)
• 16 Calculations: Capacity of each building.
• 16 Calculations: Construction costs of each building.
• 16 Surface Area Calculations: 1 for each building, including silo
• Perimeter of each fenced area. ( 3 areas)
• Area of each fenced area. (3 areas)
• Area of parking lot • Area of outdoor competition arena • Creation of 3D Model Farm
Barn # 1 2 3 4 5 (Circle Barn #) Intended Use: _________________
MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Greenhouse # 1 2 3 (Circle Greenhouse #) MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Ag Mechanization/ Engineering Building
MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Machine Shed MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Athletic Centre MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Plant Sciences/ Crop Genetics
MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Animal Sciences/ Veterinary MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Machine Shed MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Farm Fresh Market & Restaurant
MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Indoor Competition Arena
MAT PLAN
Isometric Drawing
VOLUME: l x w x h = m3
CAPACITY: l x w x h = kL
COST: # of blocks x $6000 per block
SURFACE AREA: # of faces x 144m2
Water Tower
Height of Cylinder: 15m
Radius: 3m
Area of Bottom + Area of Sides +. Area of Top
Area of a Circle = 3.14 x radius x radius
Volume of a Cylinder= Area of Base x Height of Cylinder
Volume of Water Tower: ______________
Length x Width
Surface Area of Water Tower:
Circumference
Area of Circle Area of Circle
Height
Surface Area of Water Tower:
Silo
Height of Cylinder: 12
Radius: 3m
Area of Bottom + Area of Sides +. Area of Top
Area of a Circle = 3.14 x radius x radius
Volume of a Cylinder= Area of Base x Height of Cylinder
Volume of Silo: ______________
Surface Area of Silo:
Length x WidthArea of Circle Area of Circle
Circumference
Height
Surface Area of Silo:
Fenced Areas:
Paddock for Horses: Length: Width: Area: Perimeter: Fenced Area #1 Intended Use: __________ Length: Width: Area: Perimeter: Fenced Area #2 Intended Use: __________ Length: Width: Area: Perimeter:
Diagram including dimensions:
Diagram including dimensions:
Diagram including dimensions:
Outdoor Competition Arena: Length: Width: Area: Perimeter: Parking Area: Length: Width: Area: Perimeter:
Diagram including dimensions:
Diagram including dimensions: