Facts to Remember

These are important things to remember from Unit #1

If two shapes are placed on top of each other and they match exactly, they have the same area.
Area doesn’t change if we rearrange shapes.

Decomposing is breaking composite shapes into simple shapes
Decomposing & rearranging is breaking composite shapes into simple shapes and moving them to new positions.
After rearranging, the area of the new shape is the same as the original shape.

A parallelogram is a polygon with four sides,
- Opposite sides are parallel
- Opposite sides have the same length
- Opposite angles have the same measure

When we multiply two of the same number together like 10 • 10 we say we are squaring the number. We write, for example, 10² = 100 and say, “Ten squared is one hundred.”
When we multiply three of the same number together like 10 • 10 • 10, we say we are cubing the number. We write, for example, 10³ = 1,000 and say, “Ten cubed is one thousand.”
Exponents are used to write square and cubic units. The area of a square with side length 7 km is 7² km². The volume of a cube with side length 2 millimeters is 2³ mm³.

Surface Area of a cube

Find the surface area of all 6 faces and add it together.

Find Volume of a cube

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