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The purpose of this Warm-up is to elicit the idea that larger square units, specifically the square meter, can be useful in situations involving large areas. While students may notice and wonder many things about the image, the idea of tiling a large area with larger square units is the important discussion point.
What do you notice? What do you wonder?
The purpose of this activity is for students to encounter larger square units, specifically the square meter and the square foot. There are two options for introducing square meters and square feet for the first time. Students get a sense of the size of a square meter and a square foot from the images in the activity. Also, consider constructing and displaying a square foot and a square meter, using rubber bands, 4 meter sticks, and 4 rulers.
This is a square meter.
What kinds of areas would make sense to measure with square meters? Be ready to explain your reasoning.
This is a square foot.
What kinds of areas would make sense to measure with square feet? Be ready to explain your reasoning.
The purpose of this activity is for students to consider the units to use when measuring given areas. Students choose from square inches, square centimeters, square feet, and square meters. Students have not spent much time with these square units, so examples should be displayed during this activity to support students in choosing the unit that makes the most sense in the given situation.
For each area, tell if you would use square centimeters, square inches, square feet, or square meters to measure it. Be ready to explain your choices.
Choose the area that best matches each item. Be ready to explain your reasoning.
Optional
The purpose of this activity is for students to find things they can measure with the standard area units they have learned about. This activity can be completed in the classroom, but could also be completed during a walk around the school or community if time allows. This activity is optional because it could be condensed into a discussion about areas with which students are familiar and what units they would use to measure them. If time doesn't allow for taking a walk around the school or community, this activity could also be completed at a time when students are already walking around the school.
When students recognize the mathematical features of familiar real-world objects and use those features to solve problems, they model with mathematics (MP4).
Find an object or a space that you would measure with square inches, square centimeters, square feet, and square meters. Explain your unit choices.
| area | square unit and reasoning |
|---|---|
| Example: a piece of paper | Example: “I think it can fit about 8 inches across and 10 inches down, so square inches work well. It can be measured in square centimeters, too, but it would just take a lot more squares. Square feet and square meters would be too large.” |
Display examples of each square unit (square centimeter, square inch, square foot, and square meter).
“Now, we’ve worked with different types of square units. Why is it important to have many different options rather than just square centimeters and square inches?” (Square inches and square centimeters are too small for measuring larger areas. It would take too many square centimeters to tile a field.)