Calculate Area of Attic Floor of Farmhouse
Explore how to determine the area of the attic floor in a farmhouse with a pyramid-shaped roof using given measurements and mathematical techniques. Discover the dimensions and relationships between different elements to solve for the area of the square attic floor.
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Presentation Transcript
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Next to it is a student s mathematical model of the farmhouse roof with measurements added. What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.1 Calculate the area of the attic floor ABCD.
Mathematics Unit 1: Farms What do we want to find out? Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Next to it is a student s mathematical model of the farmhouse roof with measurements added. What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.1 Calculate the area of the attic floor ABCD. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Next to it is a student s mathematical model of the farmhouse roof with measurements added. What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.1 Calculate the area of the attic floor ABCD. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? Next to it is a student s mathematical model of the farmhouse roof with measurements added. What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.1 Calculate the area of the attic floor ABCD. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? Here you see a photograph of a farmhouse with a roof in the shape of a pyramid. What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? Next to it is a student s mathematical model of the farmhouse roof with measurements added. What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.1 Calculate the area of the attic floor ABCD. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.2 Calculate the length of EF, one of the horizontal edges of the block.
Mathematics Unit 1: Farms What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.2 Calculate the length of EF, one of the horizontal edges of the block. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.2 Calculate the length of EF, one of the horizontal edges of the block. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What have we learned? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.2 Calculate the length of EF, one of the horizontal edges of the block. Back to start Back to start
Mathematics Unit 1: Farms What do we want to find out? What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m. QUESTION 1.2 Calculate the length of EF, one of the horizontal edges of the block. Back to start Back to start
