TABLE OF CONTENTS

Contains the following Standard Clusters

• Explain volume formulas and use them to solve problems.
• Visualize the relation between two-dimensional and three-dimensional objects.
• Apply geometric concepts in modeling situations.

Collection Contents


Informal arguments for area and volume formulas can make use of the way in which area and volume scale under similarity transformations: when one figure in the plane results from another by applying a similarity transformation with scale factor k, its area is k2 times the area of the first. Similarly, volumes of solid figures scale by k3 under a similarity transformation with scale factor k.
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Visualize the relation between two-dimensional and three-dimensional objects.
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Focus on situations that require relating two- and three-dimensional objects, determining and using volume, and the trigonometry of general triangles.
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