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Area And Volume Proportions

This topic deals with understanding how changing certain sides changes area and volume.

Sample Problems for Area And Volume ProportionsLesson for Area And Volume Proportions

This topic aligns to the following state standards

Grade 5: Geo 3. Knows how area and perimeter are affected when geometric figures are combined, rearranged, enlarged, or reduced (for example, What happens to the area of a square when the sides are doubled?).
Grade 6: Meas 2. Knows the relationship between the area or perimeter of an original figure and that of a newly created figure.
Grade 6: Meas 3. Solves real-world or mathematical problems involving perimeter or area and how these are affected by changes in the dimensions of the figure.
Grade 7: Meas 2. Knows the relationships between the perimeters, areas, surface areas, or volumes of the original figure and those of the newly created figure.
Grade 7: Meas 3. Solves real world or mathematical problems involving perimeter, area, circumference, surface area and volume and how these are affected by changes in the dimensions of the figures.
Grade 8: Meas 1. Knows how a change in a figure's dimensions affects its perimeter, area, circumference, surface area, or volume.
Grade 8: Meas 3. Solves real-world or mathematical problems involving the effects of changes either to the dimensions of a figure or to the volume, surface area, area, perimeter, or circumference of figures.

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