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This warm-up prepares students to create a scale floor plan of the classroom. Students brainstorm and make a list of the aspects of the classroom to include in a floor plan and the measurements to take.
Students are likely to note built-in fixtures, like walls, windows, and doors, as important components to measure. They may also include movable objects like furniture. As students work, identify those who list positions of objects (e.g., where a blackboard is on a wall, how far away the teacher’s desk is from the door, etc.). Invite them to share later.
Tell students that they will be creating a scale drawing of the classroom. Their first job is to think about which parts of the classroom to measure for the drawing. Give students 2 minutes of quiet think time to make a list, followed by 3 minutes of whole-class discussion. Ask students to be specific about the measurements they would include on the list.
Which measurements would you need in order to draw a scale floor plan of your classroom? List which parts of the classroom you would measure and include in the drawing. Be as specific as possible.
Invite students to share their responses with the class, especially those who included measurements between objects in their lists. Record and display students’ responses for all to see and to serve as a reference during the main activity. Consider organizing students’ responses by type rather than by items (e.g., listing “furniture” instead of “chairs,” “desks,” etc.). Some guiding questions:
The purpose of this activity is for students to make preparations to create their scale drawings. They sketch a rough floor plan of the classroom.
In groups, they plan the steps for making measurements and then carry out their plan. As students choose which aspects of the classroom they will include in their scale drawing, they are modeling with mathematics (MP4).
Some things to notice as students work:
As they draw their sketch, encourage them to focus on big-picture elements and not on details. It is not important that the sketch is neat or elaborate. What matters more is that it does not omit important features like the door.
As they make plans for measuring and recording, encourage them to work systematically to minimize omissions and errors.
Urge students to measure twice and record once. It is better to take a little more time to double check the measurements than to find out during drawing that they are off.
Give students 1–2 minutes to read the task statement individually and to ask any clarifying questions. Consider displaying a floor plan sketch of another room in the school. Emphasize that the sketch serves a similar purpose as an outline in writing. It does not need to be to scale, accurate, or elaborate, but it should show all the important pieces in the right places so it can be a reference in creating the scale drawing.
Arrange students in groups of 2–4. Smaller groups mean that each individual student can be more involved in the measuring process, which is a benefit, but consider that it might also make the measuring process more time consuming (since it would mean more groups moving about in a confined space).
Distribute blank paper and give students 4–5 minutes to draw a sketch and to share it with a partner. Provide access to measuring tools. Give students another 4–5 minutes to plan in groups and then time to measure (which may vary depending on the size of classroom and other factors).
Trade sketches with a partner and check each other’s work. Specifically, check if any parts are missing or incorrectly placed. Return their work and revise your sketch as needed.
Discuss with your group a plan for measuring. Work to reach an agreement on:
Gather your tools, take your measurements, and record them as planned. Be sure to double-check your measurements.
Make your own copy of all the measurements that your group has gathered, if you haven’t already done so. You will need them for the next activity.
After groups finish measuring, ask them to make sure that every group member has a copy of the measurements before moving on to the next part.
Consider briefly discussing what was challenging about doing the measuring. A few important issues that may come up include:
In this activity, students use the measurements that they just gathered to create their scale floor plans. Each student selects one of the paper options, decides on a scale to use, and works individually to create a scale drawing. As students determine a scale that will work for their measurements and size of paper, they are making sense of problems and persevering in solving them (MP1).
Support students as they reason about scale, scaled lengths, and how to go about creating the drawing. Encourage all to pay attention to units as they calculate scaled lengths. Ask students to think about the different ways that we can write a scale. If they struggle, remind students that a scale can be written in different units or written without units.
Distribute at least three different types of paper for each group, which could include:
Ask each group member to select a paper for their drawing. Encourage variation in paper selections. Explain that they should choose an appropriate scale based on the size of their paper, the size of the classroom, and their chosen units of measurement. This means that the floor plan must fit on the paper and not end up too small (e.g., if the paper is inches, the floor plan should not be the size of a postcard).
Give students quiet time to create their floor plan. If the classroom layout is fairly complex, consider asking students to pause after they have completed a certain portion of the drawing (e.g., the main walls of the classroom) so their work may be checked. Alternatively, give them a minute to share their drawing-in-progress with a partner and discuss any issues.
Your teacher will give you several paper options for your scale floor plan.
Determine an appropriate scale for your drawing based on your measurements and your paper choice. Your floor plan should fit on the paper and not end up too small.
Use the scale and the measurements your group has taken to draw a scale floor plan of the classroom. Make sure to:
Some students may pick a scale and start drawing without considering how large their completed floor plan will be. Encourage students to consider the size of their paper in order to determine an appropriate scale before they start drawing.
Small-group and whole-class reflections will occur in the next activity.
Optional
In the final phase of the drawing project, students reflect on their work. Students who chose the same paper option confer in small groups to analyze and compare their floor plans. They discuss their decisions, evaluate the accuracy of their drawings, and consider what revisions they might make. As students consider how they could improve their scale drawing, they are modeling with mathematics (MP4).
Then, students debrief as a class and discuss how the choice of scale, units, and paper affected the drawing process and the floor plans they created.
Arrange students who use the same type and size of paper into small groups. Give them 4–5 minutes to share and explain their drawings. Display and read aloud questions such as the following. Ask students to use them to guide their discussion.
Next, arrange students who used different sizes of paper into small groups. Give them 4–5 minutes to compare and discuss their drawings.
Though much of the discussion will take place within the groups, debrief as a class so students can see floor plans created at a variety of scales and on different paper types or sizes. Display a range of scale drawings for all to see and discuss the following questions. (Alternatively, consider posting all students’ work for a gallery walk.)