## Distance Maker

An "Open Middle" format problem: What combination of digits and units would give you the greatest distance? What would give you the least? You must combine your number sense with an understanding of relative unit sizes as you develop a strategy. ## Dimensions from Volume

What dimensions (of a right rectangular prism - whole numbers only) can produce a given volume? What dimensions will minimize the surface area of a given volume? ## Rectangular Prism in 3D

Drag the sliders to change the dimensions of the prism. Allow students to "see" how the volume formula is the product of the 3 dimensions, and how a 3D array evolves from a 2D array. ## Relative Unit Sizes (length)

Put various lengths (randomly generated) in the correct order. Select the units you want to use. Feedback provided. ## Total Area

Designed to accompany this Open Middle-style task. Can you arrange the 9 numbers to maximize (or minimize) the total area of the four shapes? Can you make the areas as equal as possible? ## Trapezoid/Rectangle Relationship

Designed to build understanding of the connection between the area formulas of trapezoids and rectangles. Drag the slider to animate the illustration. Drag the vertices to change the shape. NOTE: This also works for parallelograms. ## Triangle Area and Perimeter

See the area and perimeter of any triangle. ## Triangle Area Basics

Shows how the area for a right triangle is half that of a rectangle. ## Triangle/Rectangle Relationship

Designed to build understanding of the connection between the area formulas of triangles and rectangles. Drag the slider to animate the illustration. Drag the vertices to change the shape. ## Volume Guesser

Select the units you want to use, then guess the volume of the liquid in the container. Feedback provided. 