# Area and Perimeter Formulas Math Games

In this series of games, your students will learn to apply the area and perimeter formulas for rectangles in real-world and mathematical problems. The Area and Perimeter Formulas learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 4.MD.A.3 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

For rectangles, area = length x width. The formula is a generalization of the understanding that given a unit of length, a rectangle whose sides have length w units and l units can be partitioned into w rows of unit squares with l squares in each row. The product l x w gives the number of unit squares in the partition; thus, the area measurement is l x w square units. For rectangles, perimeter is P = 2l +2w. Another formula for perimeter is P = 2 (l + w) and involves fewer calculations. The latter formula is also useful when generating all possible rectangles with a given perimeter. The length and width vary across all possible pairs whose sum is half of the perimeter.

Discover and use the advantages and disadvantages of various formulas for the perimeter length of a rectangle that is l units by w units. Calculations for the perimeter of a rectangle use the properties of operations. Perimeter problems often give only 1 dimension (either length or width). Area problems will give one dimension or just the area, and you will be asked to find side lengths and to apply found measurements. Solve both area and perimeter problems using the knowledge of the relationship between length, width, and area.

A preview of each game in the learning objective is found below.

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Tags: area, perimeter, formula, rectangle, length, width

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