Start a dialogue around area models! In this lesson, encourage students to ask questions as they multiply using area models. Use this lesson on its own or as support to the lesson Area Models and Multiplication.
Refresh students on the relationship between decimals and fractions when they multiply to find the area! They will find the area of a location in a picture by converting mixed numbers to a decimals and then using the area equation.
Help students visually represent multiplication with mixed numbers and whole numbers. Use this lesson as a standalone lesson, or as support for the lesson Multiplication of Mixed Numbers with Area Models.
Facilitate rich math conversations with this lesson on finding the missing information in problems related to the area of rectangles and squares. It may be taught by itself or used as support to the lesson Finding Area: Furnishing A Room.
Area is a geometric value that tells the size of a surface, and it is an important geometric concept that is commonly taught starting in third grade. Calculating the area of an object requires addition and multiplication skills, so after your student has mastered those concepts, you can help them move on to our worksheet resources for more practice in calculating area of different shapes.
Learn More About Area
The area of a shape is the size of the shape’s surface. An easy way to think about area is to think about how much paint you would need to cover the entire shape. There are a lot of different ways to calculate the area of a shape, so we’ve put together a guide to help you help your child get a head start on calculating area!
Area of Simple Shapes
Simple shapes, like squares, triangles, rectangles, etc. have specific formulas that you can use:
Square: area = length2
Rectangle: area = length × width
Triangle: area = ½base × height
Circle: area = π × radius2
Area by Counting Squares
Another way to calculate the area of a simple shape is to count up how many squares make up the shape if you put it on a grid. There are a couple ways to go about this way of approximating area:
More than half of a square counts as one full square and less than half a square counts as zero squares
Combine partial parts of squares to count as half a square or a full square.
Area of Difficult Shapes
Sometimes the shapes you work with aren’t simple shapes like rectangles or triangles. However, these difficult shapes will be made up of a combination of simple shapes (e.g., a triangle on top of a square). To calculate the area of these shapes, calculate the individual areas of the simple shapes and add them together to get the total area.
Now that you have an idea of different methods to calculate area, scroll up to practice with our resources, or move over to our volume resource page to see how the concept of area can be used with 3-D shapes.