Multiply unit fractions and whole numbers: sorting

What you'll learn

• Identify and sketch the two-dimensional shape formed by a cross-section of a given three-dimensional figure (cube, rectangular prism, cylinder, cone, sphere, pyramid) when intersected by a plane parallel to one of its faces with 80% accuracy.
• Describe how different angles of intersection of a plane with a three-dimensional figure (cube, rectangular prism, cylinder, cone, sphere, pyramid) affect the shape of the resulting cross-section, providing at least three distinct examples with justification.
• Apply geometric reasoning to determine the area of a cross-section formed by a plane intersecting a cube, rectangular prism, or cylinder, given the dimensions of the figure and the equation of the plane, solving at least 3 out of 4 problems correctly.
• Explain the relationship between the orientation of a cutting plane and the properties (e.g., area, perimeter, shape) of the resulting cross-section of a cone or pyramid, justifying the explanation with mathematical reasoning and diagrams.