Geometry Project Math 11 Essentials Name(s):
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1 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!
2 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 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.
3 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:
4 Buildings 5 Barns (You can decide on the animals) Building requirements 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 1 Animal Science/ Veterinary Building 1 Fresh Farm Products Market/ Restaurant 6 cube-a-links, with at least a second level A square base prism (maximum 12 cube-a-links) 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.*
5 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 m 3. 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: 1m 3 = 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.
6 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
7 Barn # (Circle Barn #) Intended Use: MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
8 Greenhouse # (Circle Greenhouse #) MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
9 Ag Mechanization/ Engineering Building MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
10 Machine Shed MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
11 Athletic Centre MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
12 Plant Sciences/ Crop Genetics MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
13 Animal Sciences/ Veterinary MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
14 Machine Shed MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
15 Farm Fresh Market & Restaurant MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
16 Indoor Competition Arena MAT PLAN Isometric Drawing VOLUME: l x w x h = m 3 CAPACITY: l x w x h = kl COST: # of blocks x $6000 per block SURFACE AREA: # of faces x 144m 2
17 Water Tower Height of Cylinder: 15m Radius: 3m 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: Area of Bottom + Area of Sides +. Area of Top Area of Circle Surface Area of Water Tower: Circumference Length x Width Height Area of Circle Surface Area of Water Tower:
18 Silo Height of Cylinder: 12 Radius: 3m Area of a Circle = 3.14 x radius x radius Volume of a Cylinder= Area of Base x Height of Cylinder Volume of Silo: Area of Bottom + Area of Sides +. Area of Top Area of Circle Surface Area of Silo: Circumference Length x Width Height Area of Circle Surface Area of Silo:
19 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:
20 Outdoor Competition Arena: Length: Width: Area: Perimeter: Parking Area: Length: Width: Area: Perimeter: Diagram including dimensions: Diagram including dimensions:
21 Aerial View of SCA Farm Campus (Please create what your campus would look like from a helicopter.)
22
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