New Room
10 min
Narrative
The purpose of this Warm-up is to elicit ideas about floor plans and the mathematics that might be involved. This will be useful when students design a layout for a bedroom in a later activity. While students may notice and wonder many things about this image, such as the familiar shape of the diagram that can be broken up into rectangles, the features that make this a floor plan, such as the windows and the door, are the important discussion points.
Launch
- Groups of 2
- Display the image.
- “What do you notice? What do you wonder?”
- 1 minute: quiet think time
Teacher Instructions
- “Discuss your thinking with your partner.”
- 1 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Solution Steps (4)
- 1Notice the shape of the figure→L-shaped/rectilinear figure that can be broken into 2 rectangles
- 2Notice the measurements given→Side lengths given in feet, one side is unknown
- 3Notice the floor plan features→Has a door and 3 windows - this is a floor plan for a room
- 4Wonder about the mathematics→What is the area? What is the unknown side length?
Sample Response
Students may notice:
- We can break this figure into 2 rectangles.
- One of the side lengths is unknown.
- We could use what we know about rectangles to find the unknown side lengths.
- The measurements are given in feet.
- There is a door and 3 windows.
Students may wonder:
- What does the figure represent?
- What is the area of the figure?
- What are the lengths of the unknown sides?
Activity Synthesis (Teacher Notes)
- “This diagram is a floor plan. A floor plan is like a map for a room.”
- “What are some items of furniture we might see in the floor plan of a bedroom?” (bed, dresser, nightstand, desk, chair, bookshelf)
Standards
- 3.MD.5·Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.7.d·Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
- 3.MD.C.5·Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.C.7.d·Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
15 min
25 min
Knowledge Components
All skills for this lesson
New Room
10 min
Narrative
The purpose of this Warm-up is to elicit ideas about floor plans and the mathematics that might be involved. This will be useful when students design a layout for a bedroom in a later activity. While students may notice and wonder many things about this image, such as the familiar shape of the diagram that can be broken up into rectangles, the features that make this a floor plan, such as the windows and the door, are the important discussion points.
Launch
- Groups of 2
- Display the image.
- “What do you notice? What do you wonder?”
- 1 minute: quiet think time
Teacher Instructions
- “Discuss your thinking with your partner.”
- 1 minute: partner discussion
- Share and record responses.
Student Task
What do you notice? What do you wonder?
Solution Steps (4)
- 1Notice the shape of the figure→L-shaped/rectilinear figure that can be broken into 2 rectangles
- 2Notice the measurements given→Side lengths given in feet, one side is unknown
- 3Notice the floor plan features→Has a door and 3 windows - this is a floor plan for a room
- 4Wonder about the mathematics→What is the area? What is the unknown side length?
Sample Response
Students may notice:
- We can break this figure into 2 rectangles.
- One of the side lengths is unknown.
- We could use what we know about rectangles to find the unknown side lengths.
- The measurements are given in feet.
- There is a door and 3 windows.
Students may wonder:
- What does the figure represent?
- What is the area of the figure?
- What are the lengths of the unknown sides?
Activity Synthesis (Teacher Notes)
- “This diagram is a floor plan. A floor plan is like a map for a room.”
- “What are some items of furniture we might see in the floor plan of a bedroom?” (bed, dresser, nightstand, desk, chair, bookshelf)
Standards
- 3.MD.5·Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.7.d·Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
- 3.MD.C.5·Recognize area as an attribute of plane figures and understand concepts of area measurement.
- 3.MD.C.7.d·Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.