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The purpose of this Warm-up is to elicit the idea that volume is a measurable attribute, which will be useful when students use informal units and liters to measure volume of liquids and the volume of containers in later activities. While students may notice and wonder many things about these containers, ideas around how much liquid is in each container and which container is filled with the most liquid are the important discussion points.
¿Qué observas? ¿Qué te preguntas?
In this activity, students explore the volume of containers by estimating and comparing them. Students use a unit container to fill two containers, A and B, to determine which container can be completely filled with a greater volume of water.
To make the comparison interesting, Containers A and B should be different in size and shape, but have a similar capacity. Consider, for example, a bowl and a cup. The unit container should be small enough so that multiple iterations are needed to fill and compare Containers A and B. Consider a large spoon or a small measuring cup.
To involve every student in the measuring process, consider assigning roles of "quien llena" // “filler” and "quien registra" // “recorder” for Container A, then switch roles for Container B.
The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. It gives students a low-stakes opportunity to share a mathematical claim and the thinking behind it (MP3). Asking oneself “Does this make sense?” is a component of making sense of problems (MP1). Making an estimate or a range of reasonable answers with incomplete information is a part of modeling with mathematics (MP4).
Tu profesor te va a dar 2 recipientes marcados con “A” y “B”, y otro recipiente marcado con “unidad”.
¿Cuántas unidades crees que se necesitan para llenar el recipiente A?
Escribe una estimación que sea:
| muy baja | razonable | muy alta |
|---|---|---|
¿Cuántas unidades crees que se necesitan para llenar el recipiente B?
Escribe una estimación que sea:
| muy baja | razonable | muy alta |
|---|---|---|
The purpose of this activity is to introduce students to liters as a formal unit to measure liquid volume. Students learn how much space a liter of liquid fills up. Then the whole class fills a large clear container with water one liter at a time. As the container is filled, students mark the container with a dry-erase marker to show the number of liters in the container.
While it is highly recommended that the class has the experience of filling and marking the container, a video has been provided to show the process and could be used for a class demonstration. Having more than one 1-liter container or some prefilled 1-liter containers will make the process of filling and marking the container go faster.
“Hoy aprendimos sobre el volumen de un liquido y el volumen de un recipiente” // “Today, we learned about the volume of a liquid and the volume of a container.”
“¿Cómo le describirían el volumen de un líquido a alguien que no supiera qué es?” // “How would you describe the volume of a liquid to someone who doesn't know what it is?” (Liquid volume is the amount of space that a liquid takes up. It’s like measuring how much water is in a glass.)
“¿Cómo le describirían el volumen de un recipiente a alguien que no supiera qué es?” // “How would you describe the volume of a container to someone who doesn’t know what it is?” (The volume of a container is how much liquid is needed to fill it up. It’s like how much liquid something could hold without overflowing.)
“¿Han visto recipientes que estén marcados con el volumen del líquido que contienen? ¿Pueden dar ejemplos?” // “Have you seen containers that were labeled with the volume of liquid they contain? Can you give some examples?” (Bottles of drinks or oil. Jugs of detergent or liquid soap.)
¿Cuántos litros de agua le caben al recipiente grande?
Escribe una estimación que sea:
| muy baja | razonable | muy alta |
|---|---|---|