Through our exploration of volume, you have learned about the different relationships of shapes and how an understanding of these relationships can help you to remember the formulas used to find each figures volume.
The formula V=Bh can be used for the volume of a rectangular prism and the volume of triangular prism. The formula can change depending on the figure since the B represented in the formula can change depending on the figure; like how B can change to (l*w) when using a rectangular prism. Understanding the relationship between rectangular prisms and square pyramids can help me remember the formulas used for determining volume since all I have to remember is that a square pyramid goes by V=C^4 and V=pi*r^2*h for the pyramid; a rectangular prism goes by the formula V=Bh or V=l*w*h. The relationship between triangular prisms and triangular pyramids help me remember and understand the formulas used for determining their volume since a triangular prism is one figure with only one formula needed; a triangular pyramid needs the formula of a triangular prism and a pyramid combined to form the figure's volume. The relationship between cylinders and cones help remember and understand the formulas used for determining their volume since when I think of a cylinder, V=pi*r^2 comes to mind and V=1/3*pi*r^2 comes to mind when I think of a cone's formula.
Daniel, I'm disappointed that you didn't really demonstrate your understanding in real detail here. There was so much more that you could have said about the relationships between these figures (such as I know that a cone is 1/3 of a cylinder therefore I can use the formula for a cylinder to find the volume of a cone by using the cylinders volume and dividing by 3 or finding 1/3 of the volume). These are the types of statements that I was looking for.
2a. introduce a topic and organize ideas (1)
2b. Develop the topic with evidence (2)
2c. Use appropriate and varied transitions to create cohesion (1)
2d. Use domain-specific vocabulary to explain the topic (2)
2e. Establish and maintain a formal style and objective tone (3)
The formula V=Bh can be used for the volume of a rectangular prism and the volume of triangular prism. The formula can change depending on the figure since the B represented in the formula can change depending on the figure; like how B can change to (l*w) when using a rectangular prism. Understanding the relationship between rectangular prisms and square pyramids can help me remember the formulas used for determining volume since all I have to remember is that a square pyramid goes by V=C^4 and V=pi*r^2*h for the pyramid; a rectangular prism goes by the formula V=Bh or V=l*w*h. The relationship between triangular prisms and triangular pyramids help me remember and understand the formulas used for determining their volume since a triangular prism is one figure with only one formula needed; a triangular pyramid needs the formula of a triangular prism and a pyramid combined to form the figure's volume. The relationship between cylinders and cones help remember and understand the formulas used for determining their volume since when I think of a cylinder, V=pi*r^2 comes to mind and V=1/3*pi*r^2 comes to mind when I think of a cone's formula.
ReplyDeleteDaniel, I'm disappointed that you didn't really demonstrate your understanding in real detail here. There was so much more that you could have said about the relationships between these figures (such as I know that a cone is 1/3 of a cylinder therefore I can use the formula for a cylinder to find the volume of a cone by using the cylinders volume and dividing by 3 or finding 1/3 of the volume). These are the types of statements that I was looking for.
ReplyDelete2a. introduce a topic and organize ideas (1)
2b. Develop the topic with evidence (2)
2c. Use appropriate and varied transitions to create cohesion (1)
2d. Use domain-specific vocabulary to explain the topic (2)
2e. Establish and maintain a formal style and objective tone (3)
2f. Provide a conclusion (1)
10/24 = 60% (Level 2)