IM 8.5.11 Lesson: Filling containers
These are drawings of three-dimensional objects. Which one doesn’t belong? Explain your reasoning.[br][br][img]data:image/png;base64,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[/img][br]
Use the applet to investigate the height of water in the cylinder as a function of the water volume.
Before you get started, make a prediction about the shape of the graph.[br]
Check Reset and set the radius and height of the graduated cylinder to values you choose. Let the cylinder fill with different amounts of water and record the data in the table.
Record the data in the table on the left. Create a graph that shows the height of the water in the cylinder as a function of the water volume.
Choose a point on the graph and explain its meaning in the context of the situation.[br]
The graph shows the height vs. volume function of an unknown container.
[img]data:image/png;base64,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[/img][br]What shape could this container have? Explain how you know.
Draw a possible container.
The graph shows the height vs. volume function of a different unknown container.
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[/img][br]What shape could this container have? Explain how you know.
Draw a possible container.
How are the two containers similar?
How are they different?
The graph shows the height vs. volume function of an unknown container.
What shape could this container have? Explain how you know.
Draw a possible container.
IM 8.5.11 Practice: Filling containers
Cylinder A, B, and C have the same radius but different heights.
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[/img][br][br]Put the cylinders in order of their volume from least to greatest.
[size=150]Two cylinders, [math]a[/math] and [math]b[/math], each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. 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[/img][img]data:image/png;base64,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[/img][br][br]Which cylinder, P or Q, matches graph [math]a[/math]?
Which cylinder, P or Q, matches graph b?[br]
Explain why you matched each graph to each cylinder.
[size=150]Which of the following graphs could represent the volume of water in a cylinder as a function of its height? Explain your reasoning. 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[/img]
Together, the areas of the rectangles sum to 30 square centimeters.
[img]data:image/png;base64,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[/img][br][br]Write an equation showing the relationship between [math]x[/math] and [math]y[/math].