Family Math Studio Grade 6 Math · Neft Teacher

Family Math Studio · Lesson guide Guía de la lección

Unit 2, Lesson 1: Understand Statistical Questions

Standard 6.DS.1

What students are learning Qué aprenden

Key idea: A statistical question has answers that change from person to person, so you collect data to answer it. A question with only one fixed answer is not a statistical question. For example, "How tall is each student in the class?" is statistical, but "How many days are in a week?" is not.Idea clave: Una pregunta estadística tiene respuestas que cambian de una persona a otra, así que reúnes datos para responderla. Una pregunta con una sola respuesta fija no es estadística. Por ejemplo, «¿Cuánto mide cada estudiante de la clase?» es estadística, pero «¿Cuántos días tiene una semana?» no lo es.

Words to know Palabras clave

Statistical Questions and Data Preguntas estadísticas y datos
Questions that have many answers, and the facts you collect.
Preguntas con muchas respuestas, y los datos que reúnes.
Statistical Question Pregunta estadística
A question with answers that change from person to person.
Una pregunta cuyas respuestas cambian de una persona a otra.
Non-statistical Question Pregunta no estadística
A question with only one answer.
Una pregunta con una sola respuesta.
Data Datos
Facts and numbers you collect.
Información y números que reúnes, como respuestas de una encuesta.
Variability Variabilidad
How far apart the numbers are.
Qué tan separados están los números.
Survey Encuesta
Ask people questions to get facts.
Hacer preguntas a las personas para reunir datos.
Data distribution Distribución de datos
Where the values sit and how far apart they are.
Dónde están los valores y qué tan separados están.
Dot plot Diagrama de puntos
A number line with one dot for each value.
Una recta numérica con un punto por cada valor.

Sentence starters Frases para empezar

I know ___ because ___.

First, I ___. Then, I ___.

The answer is ___, so ___.

How we did it in class today Cómo lo hicimos hoy en clase

  1. Question 1: "How many points did our top player score last night?" There is one player and one game, so there is one fixed answer, like 18 points.
  2. One answer, no variety, so this is NOT a statistical question.
  3. Question 2: "How many points does each player score per game?" The answers vary: 8, 12, 12, 15, 18, 20, 22.
  4. Because the answers are different for different players, I must collect data. This IS a statistical question.

Play with today's math Jueguen con las matemáticas

Interactive Lesson Model — This is the exact same interactive tool your student used in class today. Change the numbers and watch what happens!

Modelo interactivo de la lección — Esta es la misma herramienta interactiva que su estudiante usó en clase hoy. ¡Cambie los números y observe qué sucede!

Works on a phone, a tablet, or a computer. Nothing to install, nothing to sign in to.

Try this together Inténtenlo juntos

Pick one question to talk about. You don't need to do them all!

Maya wants to learn about the families on her street. Which of these is a statistical question?

  1. How many legs does a dog have?
  2. How many pets does each family on Maya's street have?
  3. What time does the library close on Saturdays?
  4. How many houses are on Maya's street?
Check the answer

The answer is: How many pets does each family on Maya's street have?

Take-home sheet Hoja para llevar a casa

Lesson 2.1: Print the sheet (PDF) · Answers and talk notes (PDF) · Edit it (Word)

Lección 2.1: Imprimir la hoja (PDF) · Respuestas y notas para conversar (PDF) · Editarla (Word)

If they get stuck... Si se traban...

Watch out for this: A common mistake in Statistical Questions and Data is judging a question by its topic or its numbers instead of its variability. Students see a question about ONE player, ONE game, or ONE fixed fact — like "How many points does the team need to win a game?" — and call it statistical just because it has a number or is about sports. Or they see a question about a single player's whole season, like "How many touchdowns did the quarterback throw this season?", and call it NOT statistical because only one player is named, forgetting that a season covers many games with a different result each time. Both errors skip the real test: will the answers actually differ from case to case (game to game, player to player)? If yes, it is a statistical question; if there is one fixed answer, it is not.

Try asking: "Can you show me how you got that? Did we miss a step?"
Pregunte: «¿Puedes mostrarme cómo lo hiciste? ¿Nos saltamos algún paso?» Hablar de las matemáticas en voz alta ayuda mucho.

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