Unit 9, Lesson 7
Resolvamos problemas de comparación multiplicativa
Grado 4
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
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.
¿Qué observas? ¿Qué te preguntas?
| precios de 2023 | San Francisco, CA | Fort Wayne, IN |
|---|---|---|
| población | 715,717 | 269,621 |
| leche (1 galón) | $5.99 | $2.79 |
| pan (1 barra) | $4.79 | $3.99 |
| gasolina (1 galón) | $6.02 | $3.56 |
| boleto de cine | $17 | $10.50 |
| conexión a internet (1 mes) | $89 | $60 |
| alquiler de un apartamento de 3 alcobas en el centro de la ciudad (1 mes) | $5,000 | $1,200 |
| costo de una casa | $1,380,000 | $210,000 |
None
This activity prompts students to use multiplicative comparison to determine the cost of different living expenses in Bermuda and in India. Students use these costs to interpret and solve a multi-step problem. The multi-step problem can be solved in more than one way. Students might use multiplication or division. They also may choose to estimate rather than perform each calculation. Encourage students to use the Three Reads routine as needed to solve problems.
When finding the unknown costs in the table, students also have an opportunity to reason about how to find a value that is 12.5 times as much. Students are not expected to multiply whole numbers by decimals in grade 4, but may use their understanding of decimal notation and decimal fractions to estimate the cost by multiplying the price in India by 12 and adding another half of that price, or by reasoning that 12.5 is close to 13.
Las Bermudas es uno de los países más costosos para vivir en el mundo. La India es uno de los menos costosos.
La tabla muestra una comparación de los precios de 2023 (en dólares estadounidenses) de algunas cosas en las Bermudas y en la India. Estima o calcula la información que falta en la tabla.
Table. 6 rows, 4 columns. First row. blank, Bermuda, cost in Bermuda is blank as in India, India. Second row. a meal with drink, 1 person in parenthesis, blank, 12 times as much, 2 dollars. Third row. Gasoline, 1 gallon in parenthesis, 8 dollars, 2 times as much, blank. Fourth row. Brand-name jeans, blank, 2 point 5 times as much, 31 dollars. Fifth row. Men's leather shoes, 1 hundred 43 dollars, 4 times as much, blank. Sixth row. Internet connection, blank, 14 times as much, 13 dollars.
En 2023, el alquiler de un apartamento de 1 alcoba ubicado en Nueva Delhi, la capital de la India, cuesta aproximadamente $182 al mes. El alquiler de un apartamento parecido en Hamilton, en las Bermudas, cuesta 18 veces eso.
Los servicios públicos (electricidad, gas, agua y calefacción) para un apartamento pequeño cuestan aproximadamente $65 al mes en la India y 2 veces eso en las Bermudas.
Si una persona gana $3,500 al mes, ¿podría pagar el alquiler y los servicios públicos en las Bermudas?
None
In this activity, students continue to solve multiplicative comparison problems in the context of the cost of living. In addition to using multiplicative comparison to find a greater or lesser unknown value, students also find an unknown multiplier.
Students also work with greater numbers. Some questions (about the costs of utilities, for instance) could be answered by dividing one multi-digit number by another (for instance,
El costo de vida en los Estados Unidos es más alto que en Ghana.
La tabla muestra una comparación de los precios de 2023 (en dólares estadounidenses) de algunas cosas en los Estados Unidos y en Ghana.
Table. 6 rows, 4 columns. First row. Monthly cost, United States, cost in the US is blank as in Ghana, Ghana. Second row. 1 bedroom apartment in city center, 1 thousand 3 hundred dollars, 2 times as much, blank. Third row. 1 bedroom apartment outside of city center, blank, 9 times as much, 1 hundred 12 dollars. Fourth row. utilities for a 9 hundred 15 square foot apartment, 1 hundred 52 dollars, blank, 73 dollars. Fifth row. transportation pass, 70 dollars, 3 times as much, blank. Sixth row. private preschool for 1 child, 9 hundred 6 dollars, blank, 1 hundred 62 dollars.
En 2023, una pareja tiene $3,000 para gastar en vivienda y quiere alquilar un apartamento de 1 alcoba ubicado fuera del centro de una ciudad. Averigua cuántos meses de alquiler pueden pagar en:
Help us improve by sharing suggestions or reporting issues.
Building Toward
Building Toward