Area & perimeter of rectangles - common core aligned! A complete unit with instruction to the student, practice problems, and word problems.
Students find perimeters of polygons, including finding the perimeter when the side lengths are given, and finding an unknown side length when the perimeter is given. They learn about area, and how to measure it in either square inches, square feet, square centimeters, square meters, or just square units if no unit of length is specified.
Students also relate area to the operations of multiplication and addition. They learn to find the area of a rectangle by multiplying the side lengths, and to find the area of rectilinear figures by dividing them into rectangles and adding the areas.
We also study the distributive property “in disguise.” This means using an area model to represent a × (b + c) as being equal to a × b plus a × c. The expression a × (b + c) is the area of a rectangle with side lengths a and (b + c), which is equal to the areas of two rectangles, one with sides a and b, and the other
with sides a and c.
Multiplying by Whole Tens is a lesson about multiplication such as 3 × 40 or 90 × 7. It is put here so that students can then use their multiplication skills to calculate areas of bigger rectangles.
Then we solve many area and perimeter problems. That is necessary so that students learn to distinguish between these two concepts. They also get to see rectangles with the same perimeter and different areas or with the same area and different perimeters.
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I wish you success with your math teaching!