Finding Area: Furnishing A Room
Students will be able to find the area of rectangles and squares.
- Tell students that today they are going to be interior decorators.
- Explain to students that they will work with a partner to furnish a room.
- Students will create polygons to furnish a room and be asked to calculate the area for each item.
Explicit Instruction/Teacher modeling(10 minutes)
- Ask students to review the formula for finding the area of a quadrilateral. Define a quadrilateral as any polygon with four sides.
- You can explain to them that in geometry, length usually refers to the longest side of a rectangle and width is usually the shortest.
- Tell them that they are going to “make" several pieces of furniture for their rooms. To make the furniture they have to draw squares and rectangles and determine the area.
- Ask students to review the formula for finding area: Area = Length x Width.
- Draw a large rectangle on the board. Choose numbers to determine the size of the "room." Write these on the sides of the rectangle.
- Together as a class, determine the area of the room that they will be furnishing.
- Remind students that the answer to an area equation is written in square units.
Guided Practice(10 minutes)
- Tell students that now they are going to find the area of one piece of furniture that could possibly go in the room.
- Give students the following information by writing it on the board: Table = 3ft x 4ft.
- Calculate the area for this table. Model how to cut out a rectangle that is 3 inches by 4 inches. Explain that 1 inch represents 1 foot.
- Remind students that they must leave space in the room to walk so they must subtract the area of the furniture from the total area of the room to make sure there is enough space.
- Give students construction paper and a ruler. Remind them that they must draw and label the shapes using the numbers below.
- They can then use scissors to cut out different shapes and glue them to a larger piece of construction paper.
Independent working time(20 minutes)
- Students will create "furniture" by creating squares and rectangles. Let them know that they can use the following dimensions to label their shapes: 5ft x 3ft, 3ft x 3ft, 8ft x 5ft. Remind students that 1 inch represents 1 foot.
- Using the formula for area they can determine what items to put in the room. They will have to add the area of the pieces of furniture and then subtract it from the total area of the room. After furnishing the room the students must show these area calculations.
- Give students small manipulative blocks to fill in the polygons to find the area. Pre-cut shapes with labeled side lengths can be used.
- Have students use the Animal Farm Area worksheet to help them become familiar with the idea of calculating area.
- Allow students to furnish the room using measurements of their choice.
- Give each piece of furniture a price and have the students estimate the cost to furnish the living room.
- Hand out an index card to each student. Have them draw a rectangle or square with any dimensions.
- Have them switch the card with a partner and tell them to solve for the area of the shape their classmate drew. Make sure students write their name on the card they solve.
- Collect the cards as a formative assessment.
Review and closing(5 minutes)
- Have students share their completed rooms and explain what furniture each shape represents.
- Remind students that area is the measurement of a surface. Knowing how to calculate area can help in real-world situations when buying rugs and furniture.