The purpose of this Warm-up is to elicit observations about differences in the cost of living in different parts of the United States. It prepares students to look for and make sense of multiplicative comparisons later in the lesson. It also helps elicit what students know about how costs may be different, depending on where a person lives.
Students may notice and wonder many things about the data in the table, and both additive and multiplicative comparisons are likely to come up. Some students may note that an item costs “some dollars more” in San Francisco than in Fort Wayne, while others may say it costs “some number of times as much,” based on the quantities or their estimation of the quantities. In the Activity Synthesis, focus students’ discussion on additive and multiplicative comparison.
What do you notice? What do you wonder?
| 2023 prices | San Francisco, CA | Fort Wayne, IN |
|---|---|---|
| population | 715,717 | 269,621 |
| milk (1 gallon) | $5.99 | $2.79 |
| bread (1 loaf) | $4.79 | $3.99 |
| gasoline (1 gallon) | $6.02 | $3.56 |
| movie ticket | $17 | $10.50 |
| internet connection (1 month) | $89 | $60 |
| rent for a 3-bedroom apartment in the city center (1 month) | $5,000 | $1,200 |
| cost of a house | $1,380,000 | $210,000 |
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The purpose of this Warm-up is to elicit observations about differences in the cost of living in different parts of the United States. It prepares students to look for and make sense of multiplicative comparisons later in the lesson. It also helps elicit what students know about how costs may be different, depending on where a person lives.
Students may notice and wonder many things about the data in the table, and both additive and multiplicative comparisons are likely to come up. Some students may note that an item costs “some dollars more” in San Francisco than in Fort Wayne, while others may say it costs “some number of times as much,” based on the quantities or their estimation of the quantities. In the Activity Synthesis, focus students’ discussion on additive and multiplicative comparison.
What do you notice? What do you wonder?
| 2023 prices | San Francisco, CA | Fort Wayne, IN |
|---|---|---|
| population | 715,717 | 269,621 |
| milk (1 gallon) | $5.99 | $2.79 |
| bread (1 loaf) | $4.79 | $3.99 |
| gasoline (1 gallon) | $6.02 | $3.56 |
| movie ticket | $17 | $10.50 |
| internet connection (1 month) | $89 | $60 |
| rent for a 3-bedroom apartment in the city center (1 month) | $5,000 | $1,200 |
| cost of a house | $1,380,000 | $210,000 |