Florida B.E.S.T. MA.912.GR.4.1

MathGrades 9–12Use geometric measurement and dimensions to solve problems.

The Standard

Identify the shapes of two-dimensional cross-sections of three-dimensional figures.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students picture or model a flat slice through a solid and name the figure made by the cut. They explain how the cut's angle and location affect the result.
What Mastery Looks Like: Given a prism, pyramid, cylinder, cone, or sphere with a marked cutting plane, students correctly name the resulting figure. They sketch the slice and justify it using the surfaces the plane meets.
Common Misconceptions: Students often name a visible face of the solid instead of the new face made by the cut. They may assume every cylinder cut is a circle or every cone cut is a triangle.
How to Assess It: Use this exit ticket: A plane cuts a square pyramid parallel to its base. Sketch and name the slice, then describe what happens as the plane moves toward the apex.

Lesson moves

Students form clay cylinders, cones, and prisms, slice them with dental floss at different angles, then trace and label each cut face.
Display horizontal and slanted cuts through a cylinder, then have students explain why the resulting figures differ.
Give pairs cards showing solids and cutting planes plus shape cards; students race to match each cut, then verify with models.
Have students examine photos of sliced fruit and machine parts, sketch each exposed face, and identify the solid and cut direction.

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