FW 2.3: Slicing Pyramids and Prisms Learning Target: I will identify the two-dimensional shapes that can be created from slicing three-dimensional shapes. HW: Complete the SBAC Practice Test Part 2 and Correct with the Zaption video: SBAC Practice Test Pt 2 Warm Up: Find the surface area and volume of the hexagonal prism.

Review of Rectangular Prisms Where is a vertex? Where is an edge? Where is a face? Vertex Edge Face

Review of Rectangular Prisms Why is it called a rectangular prism? – The base of the prism is in the shape of a rectangle. Prisms are named by their base. How many faces does a rectangular prism have? ─ 6 faces How many vertices does a rectangular prism have? – 8 vertices How many edges does a rectangular prism have? – 12 edges

Vocab Toolkit

What are the different 2D shapes that you can make by slicing a cube with one cut? Triangle, square, rectangle, non-rectangular parallelogram, pentagon, hexagon

Math Shorts Video – Slicing 3D Figures After the video, turn and talk to your partner about the different 2D shapes you can make from slicing a pyramid.

A square - the same shape! Sketch how you sliced the cube and then sketch and name the figure formed by the cross-section. The same – always a square! The Cube: Using play-doh, create a model of a cube. Using dental floss, slice through the middle of the cube in a direction perpendicular to the base. p. 6 If the slice was made in a different area (but still perpendicular to the base), would the shape of the cross-section be the same or different?

Square The same – always a square! Sketch how you sliced the cube and then sketch and name the figure formed by the cross-section. Put the cube back together and slice through the middle of the cube in a direction parallel to the base. If the slice was made in a different area (but still parallel to the base), would the shape of the cross-section be the same or different?

Put the cube back together and create a cross-section that would make a triangle shape. Cut off a corner!

Can’t be done! Did you notice… When you make a cut through four faces, you make a four-sided shape (rectangle or non-rectangular parallelogram). When you make a cut through five faces, you make a five-sided shape (pentagon). When you make a cut through six faces, you make a six-sided shape (hexagon).

Rectangle Square The same – always a rectangle! The same – always a square! Rectangular Prisms Using play-doh, create a right rectangular prism that is not a cube. The bases of the prism are squares and the lateral faces are rectangles. Using dental floss, slice through the middle of the prism in a direction that is perpendicular to the base (and parallel to the faces). Sketch how you sliced the prism and then sketch and name the figure formed by the cross-section.

Slice off a corner.

Rectangle Triangle The same – always a rectangle! The same – always a triangle!

The same – always a rectangle! The same – always a circle! Rectangle Circle

Triangle Square The same – always a triangle! The same – always a square!

Rectangle Square Triangle, non-rectangular prism, pentagon, hexagon

FW 2.3: Slicing Pyramids and Prisms Did I reach my Learning Target? I will identify the two-dimensional shapes that can be created from slicing three-dimensional shapes. HW: Complete the SBAC Practice Test Part 2 and Correct with the Zaption video: SBAC Practice Test Pt 2