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:

Aerial View of SCA Farm Campus (Please create what your campus would look like from a helicopter.)