#### Math - 2018-19

# 4.7 - Perimeter and Area

**The student will**

**solve**practical problems that involve determining perimeter and area in U.S. Customary and metric units.

*Adopted: 2016*

### BIG IDEAS

Doctors measure our height to see how tall we have gotten.

Linear measurement is key when finding area, perimeter, or volume. If we want to buy a rug, paint a wall, or frame a picture, we have to measure in order to know how much to buy.

Scientist use linear measurements when collecting data on experiments.

- Measurements also help students to understand the concepts of fractions. When we are using measurement tools such as a ruler we are practicing how to use fractions on a number line.

### UNDERSTANDING THE STANDARD

- Perimeter is the path or distance around any plane figure.
- To determine
the perimeter of any polygon, determine the sum of the lengths of the sides.
- Area is the
surface included within a plane figure.
Area is measured by the number of square units needed to cover a surface
or plane figure.
- Students should have opportunities to investigate and discover, using manipulatives, the formulas for the area of a square and the area of a rectangle.
- Area of a square = side length × side length
- Area of rectangle = length × width
- Perimeter
and area should always be labeled with the appropriate unit of measure.

### ESSENTIALS

**The student will use problem solving, mathematical communication,
mathematical reasoning, connections, and representations to**

- Determine
the perimeter of a polygon with no more than eight sides, when the lengths of
the sides are given, with diagrams.
- Determine
the perimeter and area of a rectangle when given the measure of two adjacent
sides, with and without diagrams.
- Determine
the perimeter and area of a square when the measure of one side is given, with
and without diagrams.
- Solve practical problems that involve
determining perimeter and area in U.S. Customary and metric units.

### KEY VOCABULARY

*Updated: Aug 22, 2018*